Mathematics College

Which of the binomials below is a factor of this trinomial?

3x2 + 18x + 24

A. x + 4
B. x - 4
C. x - 3
D. x + 3

Answers

Answer 1
3x^2 +18x +24 = 3(x +2)(x +4)

Selection A is appropriate.
Answer 2

Answer:

A.X+4

Step-by-step explanation:

3x2 + 18x + 24

A. x + 4

B. x - 4

C. x - 3

D. x + 3

Apex Answers

Related Questions

Where a is determined by the conditions x2 + y2 ≤ 1 and x + y ≥ 1?

Answers

See, pls, the attached picture, the area determined by the conditions marked by yellow lines.

what is the coefficient of the term 13a in the expression 13a+6b

Answers

The coefficient is 13.

Suppose you have two credit cards. The first has a balance of $410 and a credit limit of $1,000. The second has a balance of $510 and a credit limit of $1,000. What is your overall credit utilization? 36% 56% 46% 16% 26%

Answers

The question asked for overall credit utilization, so instead of considering individual credit cards for computation, I will use the credit limits of two cards as if it is just one credit card. That will give me a total limit of $2000.

In the same way, I will add the balances of each card for a total of $920 and get the percentage of remaining balance:

(sum of balances of two cards) ÷ (sum of credit limits of two cards)

($410 + $510) ÷ ($1000 + $1000) =  0.46 or 46%

Note:

But I have an argument because isn't it that credit utilization is the "percentage used" of the credit limit and for that, I have to subtract 46% from 100% which is 54% and that is not an included in the option

 
Your have a balance of $410 on one card and $510 on the other. Together (add) this is a balance of $920. Your total credit limit is $2000 (add the limits of each card).

That means you use [tex] \frac{920}{2000} [/tex]. Percent means "out of 100" so we wish to write this fraction with 100 in the denominator (the bottom). We do this by dividing the top (numerator) and bottom (denominator) by the same number. Here we use 20. That gives us [tex]\frac{920}{2000}= \frac{46}{100} =46%[/tex]

Factor.x ^2 + 17x + 72

Answers

so we need to factor it into (ax+b)(cx+d)
since we have 1x^2, a and c=1

so factor into (x+b)(x+d)
if we expand, we get
[tex](x+b)(x+d)=x^2+(b+d)x+bd[/tex]

so we need 2 numbers that add to get the middle number and multiply to get the last number


I would factor the last number and see which ones add to the middle one

what 2 numbers multily to get 72 and add to get 17?
hmm, list factor of 72 and add them
1+72=73, nope
2+36=38, nope
3+24=27, nope
4+13=17, yep


so it facotrs to (x+4)(x+13)

Find factors of x^2 and 72, that, when combined, will give you 17x

x ^2 + 17x + 72

x 9

x 8

(x + 9)(x + 8) is your factor.

hope this helps


a total of 324 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adults tickets sold how many adult tickets were sold?

Answers

The correct answer is 81

Final answer:

To find the number of adult tickets sold when a total of 324 tickets were sold for a school play and student tickets were three times the number of adult tickets, we set up the equation x + 3x = 324, solved for x, and found out that 81 adult tickets were sold.

Explanation:

The question is asking us to find out how many adult tickets were sold when a total of 324 tickets were sold for a school play, with the number of student tickets being three times the number of adult tickets sold. To solve this, we let x represent the number of adult tickets. Therefore, 3x will represent the number of student tickets since there are three times as many student tickets as adult tickets.

The equation representing the total number of tickets sold would be: x (adult tickets) + 3x (student tickets) = 324. Simplifying, we have 4x = 324. Dividing both sides by 4 gives us x = 81.

Therefore, the number of adult tickets sold is 81.

It is 20 minutes after 8:00 what is the correct way to write the time.

Answers

8:20 hope this helps
It’s 8:20 I think it’s right

In a multiple regression analysis what would likely be the culprit of a dramatic increase in the P-value of one of the variables?

Answers

This can happen if you add another independent variable to your regression model that is strongly correlated to some other variable already in the model.
This is called multicollinearity. 
If there is a high correlation between your independent variables can lead to problems.
It can lead to increased variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model.

Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?

Answers

I believe it is 8.40

Factor each expression: 5a-25

Answers

5a-25
= 5(a-5)

----------------------
5a-25 = 5(a - 5)

hope it helps

The length of time that an auditor spends reviewing an invoice is approximately normally distributed with a mean of 600 seconds and a standard deviation of 100 seconds. what is the probability that an auditor will spend more than 12 minutes on an invoice?

Answers

Answer: 11.5% 

Explanation:

Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds. 

Now, we get the z-score for 720 seconds by the following formula:

[tex]\text{z-score} = \frac{x - \mu}{\sigma} [/tex]

where 

[tex]t = \text{time for the auditor to finish his work } = 720 \text{ seconds} \\ \mu = \text{average time for the auditor to finish his work } = 600 \text{ seconds} \\ \sigma = \text{standard deviation } = 100 \text{ seconds}[/tex]

So, the z-score of 720 seconds is given by:

[tex]\text{z-score} = \frac{x - \mu}{\sigma} \\ \\ \text{z-score} = \frac{720 - 600}{100} \\ \\ \boxed{\text{z-score} = 1.2}[/tex]

Let

t = time for the auditor to finish his work
z = z-score of time t

Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

[tex]P(t \ \textgreater \ 720) \\ = P(z \ \textgreater \ 1.2) \\ = 1 - P(z \leq 1.2) \\ = 1 - 0.885 \\ \boxed{P(t \ \textgreater \ 720) = 0.115}[/tex]

Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice. 

The probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.

Calculate the probability an auditor will spend more than 12 minutes on an invoice using the Z-score formula for a normal distribution.

The probability that an auditor will spend more than 12 minutes on an invoice can be calculated using the Z-score formula for a normal distribution.

Calculate the Z-score: Z = (12*60 - 600) / 100 = -1.2.Find the probability corresponding to this Z-score using a standard normal distribution table. P(Z > -1.2) = 0.8849.Therefore, the probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.

the value of the building owned by two veterinarians went from 125000 to 117500. What is the percent decrease

Answers

The decrease:
125000 - 117500 = 7500

Percentage of decrease = 7500/125000 x 100 = 6%

Rhoads earned $324.65 delivering newspapers. She promised her sister 0.2 of her earnings for helping her.How much does Rhoads owe her sister?


Do I have to subtract?? if not help me solve plz

Answers

In math problems, "of" usually means "multiplied by."

(owed to sister) = 0.2*(earnings)
.. = 0.2*$324.65
.. = $64.93

Rhoads owes her sister $64.93.

(Multiple Choice Worth 4 points) (05.01)A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?


A 18 square feet
B 32.5 square feet
C 65 square feet
D 130.5 square feet

Answers

Hey there!

So, when finding area, we need to remember that the key point if this is to (multiply).

We would need to make sure that we do not get confused with (perimeter) and area.

We are going to multiple, sense the question stated "What is the area of the flower bed?".

To begin, what are the [tex](formula) [/tex] that we would use?

We will use . . .           [tex] \left[\begin{array}{ccc}\boxed{A= \frac{ h_{b}b }{2}} \end{array}\right] [/tex]

By using this, we would plug in the numbers to get your area.

[tex] \left[\begin{array}{ccc}\boxed{\boxed{13*5=65/2=32.5}}\end{array}\right] [/tex]

Your correct answer would be (option B)

[tex]\boxed{32.5} \ square \ feet[/tex]

I hope this helps you!


Answer:

b

Step-by-step explanation:

Please help me with question 26

Answers

Answer: B) 65 degrees

-----------------------------------------------------

angle AEB = angle GEC
5x = 3x+10
5x-3x = 10
2x = 10
x = 5

angle GEC = 3x+10
angle GEC = 3*5+10
angle GEC = 25 degrees

Angle FEG = 90 - (angle GEC)
Angle FEG = 90 - 25
Angle FEG = 65 degrees

Efetue as divisões X ao cubo+10x+29x+20:x ao quadrado+5x+4

Answers


                                x + 5
                           ---------------------------------
   x^2 + 5x + 4    | x^3 + 10x^2 + 29x + 20
                         -  x^3 +   5x^2 +   4x
                        ----------------------------
                                        5x^2 + 25x + 20
                                     -  5x^2 + 25x + 20
                                     -------------------------
                                                                 0

(x^3 + 10x^2 + 29x + 20) / (x^2 + 5x + 4) = x + 5

Finally, 43 is 5% of what number?

Use the simplified ratio to find the equivalent ratio with a numerator of 43.

Enter your answer in the box.

43 is 5% of __?




Answers

5% = 5/100 = 1/20

43 ÷ 1/20 = 43 * 20/1 = 860  ← answer

Final answer:

43 is 5% of 860.

Explanation:

To find out what number 43 is 5% of, we can set up a proportion where 5% (or 0.05 when written as a decimal) is equal to 43 over an unknown total number X.

The formula to calculate this is part = percentage  imes total, which in this case turns into 43 = 0.05 * X.

To solve for X, divide 43 by 0.05, giving us X = 43 / 0.05 which equals 860.

Therefore, 43 is 5% of 860.

Angle D is a vertical angle to F. The measure of D is 53° . What is the measure of F?

Answers

The measure of F is 53°
Final answer:

Angle F will have the same measure as angle D, which is 53°, because they are vertical angles and thus congruent.

Explanation:

The question asks about the measure of angle F given that it is a vertical angle to angle D, which measures 53°. In geometry, vertical angles (also known as opposite angles) are pairs of non-adjacent angles formed when two lines intersect. Vertical angles are congruent, which means they have the same measure. Therefore, since angle D is 53°, angle F, being its vertical angle, will also have a measure of 53°.

Angle D and angle F are vertical angles, which means they are congruent. If angle D measures 53°, then angle F will also measure 53°. This is because vertical angles are equal in measure.

Create a pattern with the rule n x 2 + 1

Answers

To create this pattern, you can start with the number zero and apply this math.  0 x 2 +1 = 1.  The next number would be found by taking 1 x 2 + 1=3.  After that 3 x 2 + 1 = 7.  The next number in the pattern would be found by taking 7 x 2 +1.  Essentially, you are just taking the answer you just got and doubling it and then adding 1.  Here is the pattern that would be created beginning with 0.  0, 1, 3, 7, 15, 31, 63, etc...

The pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11

Given:

n × 2 + 1

= 2n + 1

where

n = number of terms

when n = 0

2(0) + 1

0 + 1

= 1

when n = 1

2(1) + 1

= 2 + 1

= 3

when n = 2

2(2) + 1

4 + 1

= 5

when n = 3

2(3) + 1

6 + 1

= 7

when n = 4

2(4) + 1

8 + 1

= 9

Therefore, the pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11

Learn more about number pattern:

https://brainly.com/question/13114233

You have 10 different video games. how many different ways can you arrange the games side by side on a​ shelf

Answers

Consider, please, this options:
option 1. 
for the 1st place 10 games, for the 2d place - 9 games, for the 3d - 8, etc., for the 10th place - 1 game. Then, using the rule of 'logic &': 10*9*8*7*6*5*4*3*2*1=3628800 ways.
option 2.
using formula of permutations (Pₓ=x!): P₁₀=10!=3628800 ways.

Answer: 3628800.

You can arrange the games side by side on a​ shelf in "3628800" ways.

According to the question,

Number of video games,

10

Now,

The amount of possible ways could you place the games side by side on some kind of shelf will be:

= [tex]10![/tex]

= [tex]10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]

= [tex]3628800[/tex]

Thus the response above is appropriate.

Learn more:

https://brainly.com/question/17425622

What has an infinite number of points extending in opposite directions that has only one dimension

Answers

I believe it is a line 
Hello there!

The answer to your question is a line. A line infinitely extends in opposite directions and it has an infinite number of points. It only has one dimension.

Now because the question doesn't say 'extends infinitely' and it JUST SAYS 'has an infinite number of points, a line segment could be a correct answer too because points are infinitely small. Don't write this answer though because I know the answer your teacher is looking for is a 'line.'

I really hope this helps!
Best wishes :)

which of the following shows an equivalent expression to (5 times 3)times 12 if only associative property was used to transform the expression

Answers

There are no choices for this question, but the correct answer would be to re-write the exact same phrase only putting a parentheses around 3×12 instead. The associative property says that you can group your multiplication problem in any order it without changing the value. If we are only applying The associative property then the order it is written in would remain the same. Only the grouping would change.

⇒Associative Property states

A × (B ×C)=(A×B)×C=(A×C)×B

Now, we have to find equivalent expression of

 [tex](5 \times 3) \times 12 \\\\1.\rightarrow 5 \times (3 \times 12)\\\\2.\rightarrow (5 \times 12) \times 3\\\\3 \rightarrow 180[/tex]

5x+13≥−37. Find the solution set of the inequality.

Answers

5x ≥-50
The answer is: x≥-10

The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

5x + 13 ≥ − 37

Simplify the inequality for 'x', then we have

5x + 13 ≥ − 37

5x ≥ − 50

x ≥ − 10

The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ6

What's the present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?

Answers

$1,500/(0.03)^10 = $1,116.14

General Idea:

We need to make use of the below formula to find the present value.

[tex] PV=\frac{FV}{(1+\frac{r}{n})^{nt}} \\ \\ Where:\\ FV \; is \; Future\; Value\; of \; money\\ r \; is\; Annual\; rate\; of\; interest\\ t\; is\; number\; of\; years\\ n\; is\; Number\; of\; periods\; based\; on\; compounding \; frequency [/tex]

Applying the Concept:

We are given the below information:

[tex] FV= \$11,500\\ \\ t=5\; years\\ \\ r=4.5 \%\\ \\ n=2\; (because\; given\; compounded\; semi-annually) [/tex]

We need to substitute the above information in the formula to find the Present value.

[tex] PV=\frac{11500}{(1+\frac{0.045}{2})^{2 \times 5}} =\frac{11500}{(1+0.0225)^{10}} =\frac{11500}{1.0225^{10}} \\ \\ PV \approx \$9206 [/tex]

CONCLUSION:

The present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually is approximately 9206 dollars

Could someone help me with this?

Answers

Distributive property was the first property used in STEP 1, where -4 was distributed to -3x+ 2 resulting in the equation in STEP 1. Next in STEP 2, commutative property of addition no matter how 12x and 6x are arranged, when you add them together the result will be the same. 
*Take note that 12x and 6x are put together because they are like terms. 

For Steps 3 and 4, you will see that the addition property of equality was used in STEP 3. To keep the equation equal, you will add the same number on both sides.

STEP 4 uses Division property of Equality. Like Step 3, to keep both sides of the equation equal, you must divide both sides with the same number. It keeps the statement true by doing so. 

STEP 4 and 5 uses transitive property if you examine both as a whole. 
Transitive property assumes that if a = b and b = c, then a = c

If   18/18 (a) = 1 (b),  and x (c) = 18/18(a)  then, x (c) = 1 (b). 

If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?

Answers

if
1 acre=43560 foot
3/4 acre=32670 foot
now we know that
32670 sq foot............................80,000 dollars
1 sq foot...........................................?

the price is=80,000/32670=2.4487
rounded =2.45

Following are the calculation to the given question:

Given:

salesperson sells[tex]\bold{= \frac{3}{4}}[/tex]

acre= 80,000

To find:

price per square foot rounded to two decimal spaces=?

Solution:

Therefore

[tex]1 \ acre=43560\ foot \\\\ \frac{3}{4}\ acre=32670\ foot[/tex]

Calculation

[tex]32670 \ sq \ foot = \$80,000 \\\\1 \ sq \ foot =? \\\\[/tex]

Calculating the price:

[tex]=\frac{80,000}{32670}=2.4487 \approx 2.45[/tex]

Therefore, the final answer is "$2.45".

Learn more:

brainly.com/question/7747008

Find the reference angle for 697 degrees

Answers

The answer is c. 23 degrees. 697-360 is 337. 360-337 is 23. 

A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inversely with the number of photos a customer buys, as shown in the table below. What functions model the data?

Answers

the complete question in the attached figure

we have that
 for c=5 and n=20------------> n*c=20*5=100
 for c=2.5 and n=40------------> n*c=40*2.5=100
 for c=2 and n=50------------> n*c=50*2=100
 for c=1.25 and n=80------------> n*c=80*1.25=100

therefore
the function that models the data is n*c=100

the answer is nc=100





Your answer is nc=100

A magazine claims that 75% of all teenage boys have their own cellphones. A researcher wished to test the claim and selected a random sample of 60 teenage boys. She found that 54 had their own cell phones. At α = 0.01, should the claim be rejected?

Answers

yes, it is a comparison of .75 to .9 (I think?)
Not sure sorry!! Wish I could help




I need help !! This packet is due tomorrow and I have no idea what I’m doing .

Answers

The proof would be as follows:

Given: angle M congruent to angle X; angle N congruent to angle Y; YO congruent to NZ.

1. YZ=YO+OZ; reason: segment addition postulate (YZ is made up of YO and OZ).

2. ON=NZ+OZ; reason: segment addition postulate (ON is made up of NZ and OZ).

3. YO=NZ; reason: given.

4. ON=YO+OZ; reason: substitution (since NZ is congruent to YO, we substitute YO for NZ).

5. ON=YZ; reason: substitution (since YZ=YO+OZ, we substitute YZ for YO+OZ).

6. MNO is congruent to XYZ; reason: AAS (we have 2 sides and a non-included angle in each triangle congruent, which is the angle-angle-side theorem).

Answer:

Given is :

∠M≅∠X

∠N≅∠Y

YO≅NZ

We have to prove that ΔMNO≅ΔXYZ

Using segment addition postulate we get YZ=YO+OZ and ON=NZ+OZ and YO=NZ is already given. Using substitution of YO for NZ; we get ON=YO+OZ

Now substituting YZ for YO+OZ we get ON=YZ and also YZ=YO+OZ.

Now applying AAS we get ΔMNO is congruent to ΔXYZ because of angle-angle-side theorem as we have already proved that two sides are congruent and a non-included angle in each triangle is congruent.

What is the area of a figure 36m×21×10×9×8×23×4×7×

Answers

It is actually simplified as 7*10 + 8*9+ 7*13 + 4*8 + 21+4, which is 290
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