What are the zeros of the function below? Check all that apply.
F(x)= (x - 2)(x + 1)/x(x - 3)(x + 5)

Answer:

Jay needs a 94 on his next test to get an average of 93 on all of his exams.

Step-by-step explanation:

The way test averages work is you take the sum of all of your tests and divide it by the number of tests. So he got an 87 on test 1, a 98 on test 2, and an unknown score on test 3 because he hasn't taken it yet.

Let x = that unknown score. The number of tests is 3. So we set up our equation as:

(87 + 98 + x) / 3

He wants an average of 93 so we set the equation equal to just that.

(87 + 98 + x) / 3 = 93

In order to isolate the numerator equation by itself, we multiply both side by 3. That way the 3 in the denominator on the left side cancels out. You now have:

87 + 98 + x = 93(3)

Simplify:

185 + x = 279

Now to get x by itself, we subtract 185 from both sides:

x = 279 - 185

x = 94

He needs a score of 94 on the next test for the test average that he wants.

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!

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)

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.

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 -.

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

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]

Answer:

x> 5

Step-by-step explanation:

x - 8 > -3

Add 8 to each side

x - 8+8 > -3+8

x> 5

Answer:

[tex]\huge \boxed{x>5}[/tex]

Step-by-step explanation:

First, add by 8 from both sides of equation.

[tex]\displaystyle x-8+8>-3+8[/tex]

Simplify, to find the answer.

[tex]-3+8=5[/tex]

[tex]\huge \boxed{x>5}[/tex], which is our answer.

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)

[tex]\dfrac{B_x \sqrt{74_x}}{1D_x}+J_x51_x=4G3_x[/tex]

A=10, B=11, C=12, etc.

[tex]\dfrac{11\cdot x^0\cdot \sqrt{7\cdot x^1+4\cdot x^0}}{1\cdot x^1+13\cdot x^0}+19\cdot x^0\cdot (5\cdot x^1+1\cdot x^0)=4\cdot x^2+16\cdot x^1+3\cdot x^0\\\\\dfrac{11\sqrt{7x+4}}{x+13}+19(5x+1)=4x^2+16x+3\\\\\dfrac{11\sqrt{7x+4}}{x+13}+95x+19=4x^2+16x+3\\\\11\sqrt{7x+4}+95x(x+13)+19(x+13)=(4x^2+16x+3)(x+13)\\\\11\sqrt{7x+4}+95x^2+1235x+19x+247=4x^3+52x^2+16x^2+208x+3x+39\\\\11\sqrt{7x+4}=4x^3-27x^2-1043x-208\\\\121(7x+4)=(4x^3-27x^2-1043x-208)^2[/tex]

[tex]121(7x+4)=(4x^3-27x^2-1043x-208)^2\\\\847x+484=16 x^6 - 216 x^5 - 7615 x^4 + 54658 x^3 + 1099081 x^2 + 433888 x + 43264\\\\16 x^6 - 216 x^5 - 7615 x^4 + 54658 x^3 + 1099081 x^2 + 433041 x +42780=0[/tex]

Now, the "only" thing that remains to do is solving the above equation.

While making this problem I only made sure it has a solution. I didn't try to solve it myself and I didn't know it will end up with such "convoluted" polynomial. Sorry to everyone who tried to solve it... m(_ _)m

I think the best way to approach it is using the rational root theorem since we know that [tex]x\in\mathbb{N}[/tex]. Moreover we can deduce that [tex]x\geq19[/tex] since there is [tex]J[/tex] and [tex]J=19[/tex].

After you succesfully solve it, you should get the answer [tex]x=20[/tex].

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

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:

Answer:

a = -4.

Step-by-step explanation:

If the are perpendicular then the slope of one graph will be - 1 / slope of the other.

Convert each equation to slope-intercept form:

x + 2y + 3 = 0

2y = = -x - 3

y = (-1/2)x - 3/2 (Slope/intercept form)

So the slope of the line perpendicular to this  will be - 1 / (-1/2) = 2.

Consider the other line:

ax + 2y + 3 = 0

2y = -ax - 3

y = (-a/2) x - 3/2 (Slope/intercept form)

So the slope for this line    - a/2 and it equals 2.

-a/2 = 2

-a = 2*2 = 4

a = -4 (answer).

To determine the value of $a$ such that the graph of the equation $ax + 2y + 3 = 0$ is perpendicular to the graph of the equation $x + 2y + 3 = 0$, we'll need to find the slopes of the two lines represented by these equations since two lines are perpendicular if and only if the product of their slopes is $-1$ (the slopes are negative reciprocals of each other).
Let's find the slope of the first line.
The equation of the first line is $x + 2y + 3 = 0$. We can rearrange this to find $y$ in terms of $x$:
\[2y = -x - 3\]
\[y = \frac{-x}{2} - \frac{3}{2}\]
The slope of this line, denoted by $m_1$, is the coefficient of $x$:
\[m_1 = -\frac{1}{2}\]
Now, let's find the slope of the second line.
The equation of the second line is $ax + 2y + 3 = 0$. Rearranging this to solve for $y$ in terms of $x$, we get:
\[2y = -ax - 3\]
\[y = -\frac{a}{2}x - \frac{3}{2}\]
The slope of this line, denoted by $m_2$, is the coefficient of $x$:
\[m_2 = -\frac{a}{2}\]
Now, for the lines to be perpendicular, their slopes must satisfy the following condition:
\[m_1 \cdot m_2 = -1\]
Substituting the known slopes into the equation, we get:
\[-\frac{1}{2} \cdot \left(-\frac{a}{2}\right) = -1\]
\[\frac{a}{4} = -1\]
\[a = -4\]
Therefore, the value of $a$ that ensures the graph of the equation $ax + 2y + 3 = 0$ is perpendicular to the graph of the equation $x + 2y + 3 = 0$ is $a = -4$.

Answer:

See attachment

Step-by-step explanation:

The given function is:

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

This is an exponential function with a horizontal asymptote at  [tex]y=2[/tex]

There is a translation of the form [tex]f(x)=g(x-1)+2[/tex]

The graph of the parent function [tex]g(x)=3^{x}[/tex] is shifted to the right 1 unit and shifted up by 2 units.

See attachment for graph.

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]

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

[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.

Answer:

7776π  or

24,429.02 unit^3 to the nearest  hundredth.

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 π r^3   where r is the radius.

Here V = 4/3 * π * 18^3

= 7776π unit^3.

Answer:

7776 pi

Step-by-step explanation:

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.

Answer:

The difference of five times a number and nine

Step-by-step explanation:

The correct option is the difference of five times a number and nine.

Let the number be = x

Five times a number = 5x

Here difference means subtraction:

The difference of five times a number and nine would be 5x-9....

Answer:

D

Step-by-step explanation:

2022 Russian Invasion of Ukr- I mean got it right on Edge 2022

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]

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:

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.

Answer:

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

by-step explanation:

i hope this helps

Answer:

x=-7, y=2

Step-by-step explanation:

You are given the matrix equation

[tex]\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right] \cdot \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-18\\13\end{array}\right][/tex]

Find the inverse matrix for the matrix

[tex]\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right][/tex]

1. The determinant is

[tex]\left|\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]\right|=2\cdot 3-(-1)\cdot (-2)=6-2=4[/tex]

2.

[tex]a_{11}=2 \Rightarrow A_{11}=3\\ \\a_{12}=-2 \Rightarrow A_{12}=-(-1)=1\\ \\a_{21}=-1 \Rightarrow A_{21}=-(-2)=2\\ \\a_{22}=3 \Rightarrow A_{22}=2[/tex]

3. Inverse matrix is

[tex]\dfrac{1}{4}\left[\begin{array}{cc}3&1\\2&2\end{array}\right]^T=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right][/tex]

So, the solution of the equation is

[tex]\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]\cdot \left[\begin{array}{c}-18\\13\end{array}\right]=\\ \\=\dfrac{1}{4}\left[\begin{array}{cc}3\cdot(-18)+2\cdot 13\\1\cdot (-18)+2\cdot 13\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{c}-28\\8\end{array}\right]=\left[\begin{array}{c}-7\\2\end{array}\right][/tex]

Answer:

(-2,12)

Step-by-step explanation:

it is the closest because it is only 2 units away

The coordinates of points on the Cartesian plane, are given by a pair of values

Reason:

The given coordinates are; (-6, 0), (-2, -12), (4, 2), (5, 1)

Method:

A point is close to the y-axis where the magnitude x-coordinate value is low

By observation, the coordinates of the point having the lowest magnitude of the x-value, is the point (-2, -12)

Learn more about the Cartesian plane here:

https://brainly.com/question/16347613

Step-by-step explanation:

84 ounces / 27 turtles = 3.111 ounces per turtle

Or in fractional form, 3 ¹/₉ ounces per turtle.

Each turtle gets 3.11 ounces if Each of the 27 turtles in the pet store needs to be fed

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Each of the 27 turtles in the pet store needs to be fed.

There is one bag of turtle food that weighs 84 ounces.

Each turtle gets the food = 84/27

= 3.11 ounces

Thus, each turtle gets 3.11 ounces if Each of the 27 turtles in the pet store needs to be fed

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

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

ANSWER

(0, 1), (1,3), (2, 9), (3, 27)

EXPLANATION

For an exponential function, there is a common ratio among the terms.

Therefore we need to examine the y-values of the ordered pairs to see which one has a common ratio.

For the first option, the y-values are:

0,1,8,27

[tex] \frac{27}{8} \ne \frac{8}{1} [/tex]

For the second option, the y-values are:

1,2,5,10

[tex] \frac{10}{5} \ne \frac{5}{2} [/tex]

For the third option, the y-values are:

0,3,6,9

[tex] \frac{9}{6} \ne \frac{6}{3} [/tex]

For the last option, the y-values are:

1,3,9,27

[tex] \frac{27}{9} = \frac{9}{3} = \frac{3}{1} = 3[/tex]

Since there is a common ratio of 3, the set of ordered pairs (0, 1), (1,3), (2, 9), (3, 27) could generate an exponential sequence.

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]