Please help me with this problem. Urgent

Please Help Me With This Problem. Urgent

Answers

Answer 1

Answer:

[tex]\frac{x-1}{x^{2} +2x-3}[/tex]

[tex]\frac{1}{x+3}[/tex]

Step-by-step explanation:

first, subtract the two fractions

You will have

[tex]\frac{x-1}{x^{2} +2x-3}[/tex] the un-simplified difference of those expressions

Lets try to simplify that

Lets find the roots of the polynomial from the bottom using the formula for quadratic equation, (-b +/- sqrt( b2-4*a*c)) /(2*a)

Which are x=-3, and x=1

Thus, you have (x+3)*(x-1)

So

[tex]\frac{x-1}{x^{2} +2x-3} = \frac{x-1}{(x+3) (x-1)}= \frac{1}{x+3}[/tex]


Related Questions

Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = –3, x = 1 and x = 2. There are horizontal tangents at x = –1.5 and x = 1.5. Which of the following statements is true?


A. f is concave down from x = –3 to x = 0.
B. f is decreasing from x = –1.5 to x = 1.5.
C. f has a relative maximum at x = 1.
D. None of these is true.

Answers

Answer:

C. f has a relative maximum at x = 1.

Step-by-step explanation:

A. False.  f(x) is concave down when f"(x) is negative.  f"(x) is the tangent slope of the graph, f'(x).  So f(x) is concave down between x = -1.5 and x = 1.5.

B. False.  f(x) is decreasing when f'(x) is negative.  So f(x) is decreasing in the intervals x < -3 and 1 < x < 2.

C. True.  f(x) has a relative maximum where f'(x) = 0 and changes from + to -.

Quinton has an average resting heart rate of 70 beats per minute. When he runs, his heart rate increases by fewer than 50 beats per minute. If b represents his heart rate while running, which statements about the scenario are true? Check all that apply.

The inequality b=70<50 can be used to represent the situation.


The inequality b-50<70 can be used to represent the situation.


The graph of the solution set will be shaded to the left.


A possible value for b is 120.


A possible value for b is 140.

Answers

Answer:

1st and 3rd statements are true: 1) The inequality b=70<50 can be used to represent the situation and 2) The graph of the solution set will be shaded to the left.

Step-by-step explanation:

Lets look at this question step by step.

Quinton has an average resting heart rate of 70 beats per minute so heart rate = 70His heart rate increases by fewer than 50 beats per minute so heart rate = <50 or 70<50B represents heart rate while running, so 70 is the average resting heart and after running the heart rate is b = 70<50.

Therefore, the first statement is true; The inequality b=70<50 can be used to represent the situation.

The inequality b-50<70 can be used to represent the situation.

This cannot be true because as heart rate increases, it gets lesser than 50 so in this case, 50 is greater than 70 not lesser than 70.

Moreover, if we take 50 to the right side, it will be 70 + 50 = 120 which is wrong because b is supposed to be less than 50.

The graph of the solution set will be shaded to the left.

This is true because b<50 and whenever there is a less than sign, the graph is shaded to the left.

A possible value for b is 120.A possible value for b is 140.

These two statements cannot be true as be is supposed to be less than 50.

!!

Answer:

1 and 3

Step-by-step explanation:

pls give other person brainliest, they explained it very well:)

Zachary completes a hypothesis test and finds that he rejects the null hypothesis. Which statement gives a reason for rejecting
the null hypothesis?
The Z-statistic is less than 0.
The z-statistic lies in the critical region.
The Z-statistic lies outside the critical region.
The z-statistic is greater than 0.

Answers

Answer:

The z-statistic lies in the critical region

Step-by-step explanation:

When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:

If the z-statistic falls in the critical or rejection region, there is enough evidence to reject the Null HypothesisIf the z-statistic falls outside the critical or rejection region, there is not enough evidence to reject the Null Hypothesis.

In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:

The z-statistic lies in the critical region

Answer:     b) The z-statistic lies in the critical region.

ed21

Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?

Answers

Answer:

19 x (42 + 58)

Step-by-step explanation:

The common term is 19

Answer : The expression she use can be, [tex]19\times (42+58)[/tex]

Step-by-step explanation :

Distributive property Law : It says that multiplying a number by the group of numbers added together is the same as doing each multiplication separately.  

For example:

3 × (2 + 4) = 3×2 + 3×4

As we are given the expression:

[tex]19\times 42+19\times 58[/tex]

[tex]\Rightarrow 19\times (42+58)[/tex]

Thus, the expression she use can be, [tex]19\times (42+58)[/tex]

Triangle XYZ is reflected across the y-axis. Then its image is rotated 90° about the origin. What are the
coordinates of the final image of point X under the composition of transformations?
• (-3,2)
• (3,2)
• (2-1)
0 (-2,-3)
None of the other answers are correct
Help me

Answers

Answer:

(- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

X has coordinates X(- 2, 3 ), hence

X'(2, 3 ) ← after reflection in the y- axis

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

Hence

X'(2, 3 ) → X''(- 3, 2 ) ← final image point

The correct option will be option A: The final image point of X will be (-3,2).

What is reflection?

The reflection about an axis is the transformation of the picture about an axis so that distance of every point from the axis before and after reflection will remain the same.

Here the coordinate of point X in triangle XYZ is (-2,3).

First, the triangle XYZ is reflected about the y-axis.

As we know, the reflection of the point of coordination (x,y) after reflection about the y-axis will be (-x,y).

(x,y)→(-x,y)

So the point X of coordination (-2,3) after reflection about the y-axis will be (2,3).

Then the reflected point is rotated about the origin.

As we know the rotation of the point of coordination (x,y) after rotation about origin will be (-y,x).

(x,y)→(-y,x)

So the point of coordination (2,3) after rotation about the origin will be (-3,2).

Therefore The final image point of X will be (-3,2).

Learn more about reflection

here: https://brainly.com/question/1908648

#SPJ2

A research company wants to test the claim that a new multivitamin helps to improve short term memory. State the objective of the experiment, suggest a population, determine the experimental and control groups, and describe a sample procedure.

(SHOW WORK)​

Answers

Answer:

I would think that you would want to have the multivitamin and then a placebo, then conduct an experiment testing the results of the multivitamin and observe the effects on both groups taking the medicine.

Step-by-step explanation:

your control group would be the placebo and your experimental group would be the multivitamin...

Answer with explanation:

Objective of the experiment:

       The Multivitamin made by research company is beneficial or not for abolishing short term memory.  

Population

The population can be chosen from the largest city hospital where people are suffering from short term memory loss.

Suppose 100 people are suffering from short term memory loss.

Experimental and control group

  Suppose 40 people are being tested that is in experimental group and 60 people are in Control group.

Sample Procedure

After selecting 40 people in the experimental group , and then providing them Multivitamin for few days ,and then checking whether it is helping them to attain their memory or not is the procedure.

You are facing North. Turn 90 degrees left. Turn 180 degrees right. Turn around to reverse your direction. Turn 45 degrees left. Turn around to reverse your direction. In which direction are you facing?

Answers

North
You are facing north. 90 degrees left is west. 180 degrees is now east. Reversing your direction is the same as 180 so your now back to facing west. Turn 45 left you’re now facing south. Reverse again and you’re facing north.

Answer:

Final direction is 45 degrees south of west or  45 degrees west of south.

Step-by-step explanation:

i) You are facing North

Turn 90 degrees left

ii) 90 degrees left to north is west.

Turn around to reverse your direction

iii) On reversing direction you will be facing east.

Turn 45 degrees left

iv) On turning 45 degrees left, you will be facing north east.

 Turn around to reverse your direction

v) On reversing direction you will be facing south west.

Final direction is 45 degrees south of west or  45 degrees west of south.

Evaluate the expression below 3^3-10+(2*4^2)

Answers

Answer:

49

Step-by-step explanation:

We are going to use PEMDAS to simplify

[tex]3^3-10+(2 \cdot 4^2)[/tex]

First step is P.

P refers to the parenthesis or anything acting as a grouping symbol.

We notice the following operations there are multiplication and exponents.

According to PEMDAS, after parenthesis we do the exponents so let's do the exponent in the ( ).

[tex]3^3-10+(2 \cdot 16)[/tex]

Now we still have to finish P up. That is we need to do the one last operation in the ( ).

[tex]3^3-10+(32)[/tex]

Nothing left to perform in the () so we can just write:

[tex]3^3-10+32[/tex]

Now there are no more grouping symbols left.

The next letter is E and it stands for exponents so we must evaluate anything we can that has an exponent.

[tex]27-10+32[/tex]

Now after E we have M and D which means to multiply and divide as you the expression from left to right.

There is no multiplication and division so moving on.

A and S means to do the addition and subtraction as it occurs left to right:

[tex]17+32[/tex]

[tex]49[/tex]

Including scholarships and financial aid, Mark has $37,000 to spend on
college. If the total cost of his college education is _____, he will have
enough resources to pay.
A. $43,000
B. $40,000
C. $46,000
D. $34,000

Answers

Answer:

D

Step-by-step explanation:

The answer is anything less than $37,000 because that is how much he has to spend.  D. $34,000 is the only answer less than that, so D is the correct answer.

The answer is D less than 37,000

AB passes through A(-3,0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to AB?

Answers

Answer:

Step-C. -5x-3y=0 which is the same thing as y= -5/3x + 0.

by-step explanation:

i hope this helps

Joyce had business cards made through a printing company. They charge an initial fee of $12 and $3.99 for each box of 100 business cards. If Joyce needs 5 boxes, how much will she be charged?

Answers

Answer:

$31.95

Step-by-step explanation:

The total cost is the initial fee plus the cost of the boxes.

12 + 5×3.99 = 31.95

2354 bdxbdbdbht55675443t35222222222222222222222222

what does x² - 5x equal

Answers

Answer:

x(x-5)

Step-by-step explanation:

We cannot solve this expression because there is no equals sign.

We can,however simplify the expression

x^2 -5x

Factor out an x

x(x-5)

Beth is designing a business card. She makes a scale drawing of her old business card by using the scale factor 5/4. Her scale drawing is 2 1/2in by 5in rectangle.


The print shop says the scale drawing is a reduction of the original card because the original card must be 3 1/8in by 6 1/4in. Which explains the print shop’s error?


A. The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 2in by 4in


B. The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 3 3/4in by 6 1/4in


C. The scale factor is a fraction so the scale drawing is an reduction, and the original card is 2in by 4in


D. The scale factor is a fraction so the scale drawing is an reduction, and the original card is 3 3/4in by 6 1/4in

Answers

Answer:

The correct option is A.

Step-by-step explanation:

It is given that Beth makes a scale drawing of her old business card by using the scale factor 5/4.

If the scale factor is less than 1, then it represents compression and if the  scale factor is greater than 1, then it represents enlargement.

Since the scale factor is greater than 1 so the scale drawing is an enlargement.

Let the initial dimension of business card is a by b.

Her scale drawing is [tex]2\frac{1}{2}[/tex] in by 5 in rectangle. Multiply each dimension by reciprocal of scale factor to find the dimension of original card.

[tex]a=2\frac{1}{2}\times \frac{4}{5}=\frac{5}{2}\times \frac{4}{5}=2[/tex]

[tex]b=5\times \frac{4}{5}=4[/tex]

The dimension of original card is 2 in by 4 in.

Therefore the correct option is A.

Answer: A

Step-by-step explanation:

Reflect the given the coordinate points over the line y=x. F(−5,−3) G(−5,−2) H(−2,−2) F′( , ) G′( , ) H′( , )

Answers

Answer:

[tex]F'(-3,-5),G'(-2,-5),H'(-2,-2)[/tex]

Step-by-step explanation:

The given points are: F(−5,−3) G(−5,−2) H(−2,−2)

The mapping for reflection in the line [tex]y=x[/tex] is [tex](x,y)\to (y,x)[/tex].

We just have to swap the coordinates of the preimage to obtain the image

[tex]F(-5,-3)\to F'(-3,-5)[/tex].

[tex]G(-5,-2)\to G'(-2,-5)[/tex].

[tex]H(-2,-2)\to H'(-2,-2)[/tex].

Therefore the image points are

[tex]F'(-3,-5),G'(-2,-5),H'(-2,-2)[/tex]

Factor completely 21x3 + 35x2 + 9x + 15. (3x − 5)(7x2 − 3) (3x − 5)(7x2 + 3) (3x + 5)(7x2 − 3) (3x + 5)(7x2 + 3)

Answers

Answer:

(7x^2+3)( 3x+5)

Step-by-step explanation:

21x^3 + 35x^2 + 9x + 15.

We will do factor by grouping

Rearranging the terms so I have the terms with a factor of 3 first and 5 last

Factor a 3x from the first two terms and 5 from the last two terms

21x^3  + 9x + 35x^2+ 15

3x(7x^2 +3) +5(7x^2+3)

Now factor out a (7x^2+3)

(7x^2+3)( 3x+5)

Answer:

Cubic = (3x + 5)(7x^2 + 3)

Step-by-step explanation:

If you make up two groups of 2, you might be able to factor this using the distributive property. Let's try it.

First group: 21x^3 +  35x^2          Take out 7x^2 as a common fact

First group: 7x^2(3x + 5)

Second group: 9x + 15                  The HCF is 3

Second group: 3(3x + 5)

Now put your factors together in one long string.

Cubic = group 1 + group 2

Cubic = 7x^2 (3x + 5) + 3(3x + 5)

Note: If you had something like 7x^2 * y + 3 *y then you should see that the factors are y* (7x^2 + 3). So to solve the cubic, you should observe that (3x + 5) is a common factor.

Let y = 3x + 5

y(7x^2 + 3)   Now substitute back for the y.

Cubic = (3x + 5)(7x^2 + 3)

which mapping diagrams represent functions (choose all that apply)

which mapping diagrams represent relations that are not functions (choose all that apply)

in mapping diagram D what is the domain

in mapping diagram D what is the range

Answers

Answer:

A) function

B) not function

C) not function

D) function

D has domain {1,3,5} and range {2,4,6}.

Step-by-step explanation:

So for a mapping diagram to show a function there can only be at most one line segment coming from a number in the first circle.

So let's look at the problems:

A) There is one segment coming from 2.  (2 to 1)

    There is one segment coming from 4.  (4 to 3)

    There is one segment coming from 6.   (6 ro 5).

So this is a function.

The domain is the first numbers: {2,4,6}.

The range is the second numbers: {1,3,5}.

B)  There is two segments coming from 1. So it is over with, this is not a function.

The domain is the first numbers: {0,1,4}.

The range is the second numbers: {-2,-1,0,1,2}.

C)  There is two segments coming from a. So it is over with, this is not a function.

The domain is the first numbers: {a,b,c}.

The range is the second numbers: {4,5,6,7}.

D) There is one segment coming from each 1, 3, and 5.  So this is a function.

The domain is the first numbers: {1,3,5}.

The range is the second numbers: {2,4,6}.

What is the mean of 3 8 10 19

Answers

Answer:

Mean=10

Step-by-step explanation:

To find the mean of a set of numbers, you need to add all of them up and then divide by the amount of numbers that are in the sequence. In this case...

3+8+10+19=40

Then we need to divide by 4 because there are 4 numbers in the sequence. \

40/4=10

Answer:

The mean is 10

Step-by-step explanation:

The mean is just another word for average.

Add the four numbers together and divide by 4

(3+8+10+19)/4

40/4

10

6 radians is the same as ____°.
Round to the nearest hundredth of a degree.

Answers

Answer:

343.77°

Step-by-step explanation:

1 radian =  [tex]\frac{180}{Pi}[/tex]°

6 radians will be;

6 ×  [tex]\frac{180}{Pi}[/tex]° =343.7746771 °

Or 343.77° (rounded up to nearest hundredth)

Answer:

343.77

Step-by-step explanation:

HELP PLEASE
Select all that apply.

Which quadrilaterals always have four congruent angles?

rectangle
rhombus
parallelogram
square

Answers

Answer:

rectangle, square

Step-by-step explanation:

A rectangle always has 4 congruent angles. A square is a rectangle, so a square always has 4 congruent angles.

A parallelogram and a rhombus may or may not have 4 congruent angles.

Answer: rectangle, square

Answer:

Only a square and rectangle

Step-by-step explanation:

Both have angles of only 90 deg.

You roll a number cube three consecutive times. What is the probability that you roll an even number the first two times and a 3 the last time?

Answers

Answer:

1/24.

Step-by-step explanation:

Probability(Rolling an even number)

= 3/6 = 1/2.

Probability(Rolling a 3) = 1/6.

Required Probability = 1/2 * 1/2 * 1/6

= 1/24.

The probabilities are multiplied because the 3 events are independent.

Answer:

1/24

Step-by-step explanation:

A die has 6 faces with numbers 1 through 6. Three faces have even numbers, and 3 faces have odd numbers.

Each roll of the die can result in 6 different outcomes.

The total number different outcomes of rolling a die 3 times is 6 * 6 * 6 = 216.

There are 3 possible even number outcomes on the first roll, and another 3 possible even number outcomes on the second roll. The third roll needs to be a 3, so there is one single desired outcome of the third roll.

Total number of desired outcomes: 3 * 3 * 1 = 9

probability(even, even, 3) = 9/216 = 1/24

An elevator at a department store must carry fewer than 17 people at a time. An elevator operator is present in the elevator at all times. If x customers can travel in the elevator with the elevator operator, which inequality represents this situation? A. x + 1 < 17 B. x > 18 C. x + 1< 16 D. x < 17 E. x + 1 > 18

Answers

Answer:

A. x+ 1 < 17

Step-by-step explanation

Customers = x persons

  Operator = 1 person

        Total = x + 1 persons

Total persons must be less than 17.

The inequality is

x + 1 < 17

What is the sum of the geometric sequence −1, 6, −36, ... if there are 6 terms? (1 point) −39,991 6,665 −6,665 39,991

Answers

Answer:

=6665

Step-by-step explanation:

The sum of a geometric series is given by:

Sn=a(1-rⁿ)/(1-r)

Sn is the sum of the first n terms, r is the rate and n is the number of terms.

r the quotient between any two consecutive numbers.

r=6/-1= -6

Sn=-1(1-(-6)⁶)/(1--6)

=46655/7

=6665

Sum of the first six terms=6665

Use the substitution method to solve the system of equations. Choose the
correct ordered pair
x + 2y = 12
y = x + 3
O A. (5,8)
O B. (5,2)
O C. (2,1)
O D. (2,5)

Answers

Answer:

D. (2,5)

Step-by-step explanation:

For X:

2+2(5)=12

2+10=12

For Y:

5=2+3

Answer:

D

Step-by-step explanation:

Given the 2 equations

x + 2y = 12 → (1)

y = x + 3 → (2)

Substitute y = x + 3 into (1)

x + 2(x + 3) = 12 ← distribute and simplify left side

x + 2x + 6 = 12

3x + 6 = 12 ( subtract 6 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into (2) for corresponding value of y

y = 2 + 3 = 5

Solution is (2, 5 ) → D

in diagram below, ab and bc are tangent to o. what is the measure of abc.

A. 46
B.67
C.42
D.92
help FAST please!!!!​

Answers

Check the picture below.

Answer:

Option A. will be the answer.

Step-by-step explanation:

It is given in the diagram attached, AB and BC are the tangents to circle O.

We have to find the measure of ∠ABC.

By the theorem,

Measure of ∠ABC which inscribed within the tangents will be [tex]=\frac{1}{2}(arcADC-arcAC)[/tex]

[tex]=\frac{1}{2}(226-134)[/tex]

[tex]=\frac{1}{2}(92)[/tex]

= 46°

Option A. will be the answer.

Anthony purchased 6 fruit bars and 3 chocolate-nut bars for a camping trip. He spent $4.12 on the bars. Anthony wrote the following equation: 6x+3y=4.12 . What did he define as the variable x?

Answers

Answer:

He defined variable x as the cost of each fruit bar.

Step-by-step explanation:

6 is the amount of fruit bars Anthony has, so 3y must be for the chocolate-nut bars. So the only thing that makes sense is if variable x is the cost of each fruit bar.

Answer:

A cost a friut bar

Step-by-step explanation:

just finished the test and that was correct have a great day or night!

prescription for marilyn jones piroxicam 20 mg capsule take 1 capsule 2 times a day how many milligrams mg will marilyn take of the Piroxicam in 90 days

Answers

Answer:

[tex]\boxed{\text{3600 mg}}[/tex]

Step-by-step explanation:

Step 1. Calculate the number of capsules

Marilyn takes 2 capsules per day

[tex]\text{No. of capsules} = \text{90 days} \times \dfrac{\text{2 capsules}}{\text{1 day}} = \text{ 180 capsules}[/tex]

Step 2. Convert capsules to milligrams

There are 20 mg in each capsule.  

[tex]\text{No. of milligrams} = \text{180 capsules} \times \dfrac{\text{20 mg}}{\text{1 capsule}} = \textbf{3600 mg}\\\\\text{Marilyn will take } \boxed{\textbf{3600 mg}} \text{ of Pirixocam}[/tex]

Square lMNO is shown in the diagram below what are the coordinates of the midpoint of a diagonal LN

Answers

Answer:

The coordinates of the midpoint of LN are [tex](-2\frac{1}{2},4\frac{1}{2})[/tex]

answer (4)

Step-by-step explanation:

* Lets explain how to find the midpoint of a line

- The coordinates of the midpoint of a line whose endpoints are (x1 , y1)

 and (x2 , y2) are [tex]x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}[/tex]

∵ LMNO is a square

∵ The coordinates of point L are (-6 , 1)

∵ The coordinates of point N are (1 , 8)

- Let the coordinates of point L are (x1 , y1) , the coordinates of point

 N are (x2 , y2) and the coordinates of the midpoint of LN are (x , y)

∴ x1 = -6 , x2 = 1 and y1 = 1 , y2 = 8

- Use the rule of the midpoint above to find the midpoint (x , y)

∵ [tex]x=\frac{-6+1}{2}=\frac{-5}{2}=-2\frac{1}{2}[/tex]

∵ [tex]y=\frac{1+8}{2}=\frac{9}{4}=4\frac{1}{2}[/tex]

∴ The coordinates of the midpoint are [tex](-2\frac{1}{2},4\frac{1}{2})[/tex]

* The coordinates of the midpoint of LN are [tex](-2\frac{1}{2},4\frac{1}{2})[/tex]

Answer:

The answer should be D the fourth one

Step-by-step explanation:

Using the data: 2, 2, 3, 3, 3, 4, 5, 6, 6, 10

What is the median?

5

4

3.5

4.5

Answers

[tex]\huge{\boxed{4.5}}[/tex]

First, add all the numbers together. [tex]2+2+3+3+3+4+5+6+6+10=\bf{44}[/tex]

Divide by the amount of numbers. [tex]\frac{44}{10}=\boxed{4.4}[/tex]

[tex]4.5[/tex] is the closest, so that is the answer.

4.5. you add up all of the numbers, then divide by how many there are and then that’s your answer(round if needed)

in this case:
total=44
44 divided by 10 is 4.4
4.5 is the closest answer :)

is the grouping method to factor 5x^3+15x^2-2x-6

Answers

Answer:

[tex](x+3)(5x^2-2)[/tex]

Step-by-step explanation:

[tex]5x^3+15x^2-2x-6[/tex]

The grouping method means you are going to group some terms together and then factor what you can out of each pair to hopefully make the expression you started with factorable.

Let's try it.

[tex]5x^3+15x^2+-2x-6[/tex]

I like to insert a + in front of the last two terms if it isn't already one.  I think it makes it less confusing.

I'm going to group the first two terms together and I'm going to group the last two terms together like so:

[tex](5x^3+15x^2)+(-2x-6)[/tex]

Now I'm going to factor what I can out of each pairing.

[tex]5x^2(x+3)+-2(x+3)[/tex]

(*I always factor out negative number if the first term in the second pair has a negative on it.)

Now notice in each pairing, there is a common factor of (x+3) so I can factor that out.

The expression then becomes:

[tex](x+3)(5x^2-2)[/tex]

Final answer:

Yes, the grouping method can be used to factor the polynomial 5x³ + 15x² - 2x - 6, resulting in (x + 3)(5x² - 2) as the factored form.

Explanation:

The question is asking if we can use the grouping method to factor the polynomial 5x³ + 15x² - 2x - 6. Factoring by grouping is a technique where we group terms that have common factors and then factor each group individually.

To apply the grouping method to this polynomial, we would look for groups of terms that have common factors and try to factor out those common factors. Let's group the first two terms and the last two terms:

Group 1: 5x³ + 15x²

Group 2: -2x - 6

Factoring out the greatest common factor from each group, we get:

Group 1: 5x² (x + 3)

Group 2: -2 (x + 3)

Now, we can factor out the common binomial factor (x + 3):

(x + 3)(5x² - 2)

This is the factored form of the polynomial using the grouping method.

witch numbers belong to the equation 6x <= 66

A 11
B 53
C 9
D 12
E 50
F 7

plz explain i need to know how this works lol

Answers

Answer:

A 11

C 9

F 7

Step-by-step explanation:

6x≤ 66

Divide each side by 6

6x/6 ≤ 66/6

x ≤ 11

Any number less than or equal to 11 is a solutions

A 11   yes

B 53  no

C 9  yes

D 12  no

E 50  no

F 7 yes

Other Questions
Amino acids bond to each other using hydrogen bonds. true or false A fusion reaction takes place between carbon and another element. Neutrons are released, and a different element is formed. The different element is A) lighter than helium.B)heavier than helium.C)the same weight as helium.D)dependent on the element that reacted with carbon. What is the volume of a cone that has a base with a radius of 4 inches and a height of 12 inches? Answer all questions thanks Jason is developing a research design for a study of wine drinkers. The target population is widely dispersed. Jason needs to collect data on past consumption behavior and intentions for future behavior. Which type of data collection method is most appropriate for Jason's project? A. CommunicationB. ObservationC. MonitoringD. ExperimentalE. Causal Which of the following theorems verifies that ABC=SPR?LOOK AT PICTURE A 92.0kg baseball player slides into second base. The coefficient of friction between the player and the ground is 0.61. If the player comes to rest after 1.2s, what was his initial speed? A catering service offers 12 appetizers, 8 main courses, and 4 desserts. A customer is to select 9 appetizers, 3 main courses, and 2 desserts for a banquet. In how many ways can this be done? __________ is a mathematical model of a real system in the form of a computer program.(A) Transmitter(B) Spreadsheet(C) Simulation(D) Modulation Scientists in different parts of the world study the path and speed of a newly discovered comet. If the results of the studies are identical, they would most likely be I need help with this 9. GenBank is a a. monophyletic group of organisms. b. replacement for the principle of parsimony. c. proposed universal system to classify organisms. d. type of molecular clock. e. large database of genetic information. Consider the reaction: HCN (aq) + H2O (l) CN- (aq) + H3O + (aq) Which of the following statements will decrease the amount of work the system could perform? (a) Boil off water from the container (increasing the concentration of all species) (b) Add solid NaOH to the reaction (assume no volume change) (c) Selectively remove CNfrom the solution (d) Add water to the reaction vessel (e) Increase the concentration of the HCN Which of the following geometric objects occupy one dimension?Check all that applyA.PointB.SegmentC.LineD.TriangleE.PlaneF. Ray Recall the definition of a polynomial expression. Find two polynomial expressions whose quotient, when simplified, is 1/x. Use that division problem to determine whether polynomials are closed under division. Then describe how the other three operationsaddition, subtraction, and multiplicationare different from division of polynomials.Please help, thanks so much!! Find the distance between the pair of parallel lines. y = 2x + 4, y = 2x - 3A) 3.13B) 3.20C) 3.39D) 3.56 5. A current loop sits in the x ? y plane, centered on the origin. At the origin, the magnetic field due to the loop points in the positive z direction. What direction does the current in the loop run when viewed from the positive z direction?(a) Counter-clockwise.(b) Clockwise.(c) The current is zero.(d) More information is needed. write three equivalent fractions for 60.1% with denominators of 1,000, 100, and 10 How many x-intercepts does the graph of y = 2x2 + 5x + 9 have? AND Use el adverbio TAN o una forma del adjetivo TANTO para formar frases de comparacin. (1 point each, 4 points total) Ejemplos: Jorge es alto y Felipe es alto tambin. Jorge es "tan" alto "como" Felipe. Yo tengo muchos problemas pero Elena no tiene muchos. Elena no tiene "tantos" problemas"como" yo (problema es una palabra masculina) AND 10. Mxico es un pas con mucha gente (ms de 130 millones de personas). Aunque es ms grande, la Argentina tiene menos 45 millones de personas. (1 point) --Answer below: AND 11. Ellos tienen cinco hijos y nosotre otros tenemos cinco hijos tambin. (1 point) --Answer below: AND 12. Carlos no tiene mucho dinero, pero Felipe es rico. (1 point) --Answer below: AND 13. Linda es muy simptica, me gusta Dolores. (1 point) pero no --Answer below: