Which function is equivalent to g(x) = x2 + 15x – 54?
g(x) = (x + 9)(x – 6)

g(x) = (x – 9)(x + 6)

g(x) = (x – 18)(x + 3)

g(x) = (x + 18)(x – 3)

Answers

Answer 1

Answer:

g(x)=(x+18)+(x-3)

Step-by-step explanation:

Answer 2

The function i.e. g(x)=(x+18)(x-3) equivalent to the given equation.

Given that,

The equation is [tex]g(x) = x^2 + 15x - 54[/tex].We need to solve it.

Based on the above information, the calculation is as follows:

[tex]g(x) = x^2 + 15x - 54[/tex]

[tex]x^2 + 18x - 3x - 64\\\\x (x + 18) - 3(x + 18)\\\\(x +18 ) (x - 3)[/tex]

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Related Questions

The market is located at point (−4, −3) on the coordinate graph. The barber shop is 8 units to the right and 4 units up from the market. Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.

Answers

Answer:

(4, 1)

Step-by-step explanation:

8 units to the right = x + 8, so -4 + 8 = 4

4 units up = y + 4, so -3 + 4 = 1

I need help with this problem please

Answers

Answer:

-9

Step-by-step explanation:

Remove parentheses.

9(−1)2−7

Subtract 77 from 22.

9(−1)−5

Rewrite the expression using the negative exponent rule b−n= 1/bn

91(−1)5

Raise −1 to the power of 5.

9(1/-1)

Divide 1 by −1.

9⋅−1

Multiply 9 by −1.

−9

HELPPP PLEASE YOU’LL GET 10 POINTS

Answers

Answer:

angle y and angle x

Step-by-step explanation:

Y and X hope this helps

Ocean waves are hitting a beach with a frequency of 0.100 Hz. Their average wavelength is 15.0 m. What is their average speed?

Answers

Answer:

7 mph or 11.27 kphe

Step-by-step explanation:

Im pretty sure pls give 5 stars

Elmer has a collection of 300 fossils. Of these, 21% are fossilized snail shells. How many fossilized snail shells does Elmer have?

Answers

Answer:

63

Step-by-step explanation:

300 x 0.21 = 63

lame 《 Solve & Share A flash drive costs $24, including tax. A customer purchases 3 flash drives and pays the cashier $80. How much change should the cashier give back to the customer? Solve this problem any way you choose.​

Answers

Answer:

$8

Step-by-step explanation:

1 flashdrive = $24

3 flash drives x $24 = $7

$80 - $72 = $8

3m=117 solve da equation

Answers

If you are solving for m then the answer is m=39
Divide both sides of the equation by
3

3m divide 3 +117 divid 3

Any expression divided by itself equals
1.
M=117 divid 3

Calculate the quotient

Answer should be M=39

Please answer quick just super small explanation pls hurry quick for brainlessly answer

Answers

The correct answer is E.

How many angles does a parallelogram have?

Answers

Answer:

4

Step-by-step explanation:

4 edges, 4 points, 4 angles

Find the equation of the given line.

Find the equation of the line passing through
(5, 6) and (7, 9).

Answers

Answer:

y = 3/2x - 1.5

Step-by-step explanation:

m = y² - y¹ / x² - x¹

= 9 - 6 / 7 - 5

= 3/2

(5,6)

y = mx + c

6 = 3/2 (5) + c

6 = 7.5 + c

6 - 7.5 = c

c = -1.5

OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?

Answers

20 hours because 1800/90=20

HELP please correct answer please mathematics

Answers

Answer:

96 units^2

Step-by-step explanation:

(8*24)/2=96

Solve each equation below for the variable given.
134+ p =74 p =
25/8 + m = 7 1/8 m =

Answers

Answer: For the first one: P=-60

The second one: m=4

Step-by-step explanation:

134+p=74

You move to the right and you change the sign

Like this: p=74-134

Then you Calculate the difference

So p=-60 which is your answer

The second one: 25÷8+m=7 1/8

You divide the numbers like this:3.125m=7 1/8

Convert the mixed number into an improper fraction.. like this: 3.125+m=57/8

Move constant to the right and change the sign

Like this: m=57/8 - 3.125

Convert the decimal into a fraction

m=57/8-25/8

Then you Calculate the difference

So it will be m=4 which is your answer

Let me know if this helps

Select which of the following biconditionals is true. (Check all that apply.)

a. If n is even, then 7n + 4 is even; if 7n + 4 is even, then n is even.
b. If n is odd, then 7n + 4 is odd; if 7n + 4 is odd, then n is odd.
c. If n is even, then 7n + 4 is even; if 7n + 4 is odd, then n is odd.
d. If n is odd, then 7n + 4 is even; if 7n + 4 is even, then n is odd.

Answers

Your answer would be b for this question hope I could help! That is because out of all these b is all odd in which it lines up

can you help me pls it's only 3 question's

Answers

Answer:

1. 0.8 2. 1.25 3. 27.5

Step-by-step explanation:

Number 1 is 4/5

Number 2 is just 5/4

And I think number 3 is 22/4 which is 5.5 then times 5 which is 27.5.

Delia put I two bags of blocks in the left-side pan of a balance. Each bag has the
same number of blocks. After she adds 10 blocks to the right-side pan, the pans
hang evenly. How many blocks are in 1 bag?

Answers

I agree the top of me is correct :)

A study of drive-thru wait times for fast-food restaurants found that the average time spent Wendy's drive-thru was 138.5 seconds. Assume that drive-thru wait times are normally distributed with a standard deviation of 29 seconds, A Wendy's owner wants to give a free Frosty to customers who have an unusually long wait in the drive-thru.
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than ________ seconds) is _________ seconds (give your answer to 2 decimal places).

Answers

Answer:

207.72 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.

This means that [tex]\mu = 138.5, \sigma = 29[/tex]

The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than

The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.387 = \frac{X - 138.5}{29}[/tex]

[tex]X - 138.5 = 2.387*29[/tex]

[tex]X = 207.72[/tex]

So the answer is 207.72 seconds.

How many times was the number cube rolled

Answers

The ball was rolled 50 times.

6+4+8+12+10+10 = 50

Hope this helps; have a great day!

A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in consumer buying decisions,with 73% claiming it is an influence. Quality of product was the number one influence, with 96% of consumers stating that quality influences their buying decisions. How a company handles complaints was number two, with 85% of consumers reporting it as an influence in their buying decisions. Suppose a random sample of 1,100 consumers is taken and each is asked which of these three factors influence their buying decisions.

Answers

Answer:

Step-by-step explanation:

The question that follows the passage include:

[tex]\text{a. What is the probability that more than 810 consumers claim that how a company } \\ \\ \text { handles a crisis when at fault is an influence in their buying decisions?}[/tex][tex]\text{b. What is the probability that fewer than 1,030 consumers claim that quality} \\ \\ \text{ of product is an influence in their buying decisions?}[/tex]

From the given information:

the sample size = 1100

P = 73% = 0.73

Sample proportion [tex]\hat p = \dfrac{810}{1100} = 0.7364[/tex]

The Z test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.7364 - 0.73}{\sqrt{\dfrac{0.73(1-0.73)}{1100}}}[/tex]

[tex]Z = \dfrac{0.0064}{\sqrt{\dfrac{0.1971}{1100}}}[/tex]

[tex]Z =0.478[/tex]

a) Now the required probability of more than 810 claims is:

[tex]P(X> 810) = 1 - P(X<810) \\ \\ \implies 1 - ( X< 0.478) \\ \\ \implies 1 - 0.68367 \\ \\ = \mathbf{0.3163}[/tex]

b) The probability of less than 1030 consumers is:

Probability of quality product influencers = 96%  = 0.96

Sample proportion [tex]\hat p = \dfrac{1030}{1100}[/tex] = 0.9364

The Z test Statistics is:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.9364 - 0.96}{\sqrt{\dfrac{0.96(1-0.96)}{1100}}}[/tex]

[tex]Z = -3.994[/tex]

[tex]P(X < 1030) = 1 - P(3.99) \\ \\ \implies 1 - 0.99999669 \\ \\ \implies \mathbf{0.00003 }[/tex]

the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be

Answers

We need 3 numbers that equal 10 when multiplied. 1, 5, and 2 are what come to mind for me.

1x5=5

5x2=10

---

hope it helps

Impossible for me plz help. Also please insure that you write a let statement :)

Answers

Let x equal the amount of money he/she started with (The pronouns change in the question.)

1/3x + 1/5x = 32
We need a common denominator to add the fractions. We’ll use 15.
5/15x + 3/15x = 32
8/15x = 32
Multiply both sides by 15/8, or multiply by 15, then divide by 8, if that is easier to understand.
8x = 480
x = 60

He/she started with $60.

Let’s check the math:
1/3 of $60 is $20
1/5 of $60 is $12
$20 + $12 = $32.

Please let me know if you have any questions. I hope you have a good day.

Pls help Find the value for n try to use x/y Pls pls pls help il mark brainliest pls i really need help pls pls help

Answers

Answer:

coprs said the United of a group that had to take the first time and was not the first person in a while and

Step-by-step explanation:

Find each angle measure. ( Diagrams are not drawn to scale.)​

Answers

Answer:

1-141

2-39

3-141

Step-by-step explanation:

180-39=141

1 and 3 look the same size and 2 looks the same as c (39°) so you jsut fill in for the letters

I'm pretty sure this is right

Your teacher is giving a test that is made up of 3 point questions and5 point questions the test is worth 100 points and has 28 questions how many 3 points questions are there ?

Answers

Answer:

I am thinking 8 amigo, i could be wrong, so please look it up, or try to think about how to do it

Step-by-step explanation:

I hope you have a blessed day!

6. Describe how we could conduct a simulation to decide whether a simple random sample from this population could produce a sample proportion like 0.55 if, in fact, only 50% of the population supports ban on smoking in cars when young children are present. Each trial represents Number of trials

Answers

Step-by-step explanation:

We have proportion p = 50/100 = 0.50

Probability of success = 1-0.50 = 0.50

To conduct simulation, let's assume experiment is to be done 10 times

1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.

2. We get a random sample and get the size of people who support an against smoking with kids in the car.

3. We repeat this process after drawing sample and also get the number of those in support of ban.

4. After getting n, we find proportion.

Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H0: p = 60% and Ha: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using α = 0.01, what conclusion should Simone reach?


Because the P-value of 0.035 > α, Simone should reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

Because the P-value of 0.035 > α, Simone should reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

60%.
Because the P-value of 0.035 > α, Simone should fail to reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

Because the P-value of 0.035 > α, Simone should fail to reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%

Answers

Answer:

Its B

Step-by-step explanation:

edge 2021

Simplify the expression:
​P + 7p + 5p

P = ?

A. 13p
B. 13
C. 16p
D. 16

Answers

The answer Is A. 13p hope it helps

Which scatter plot shows the relationship
between the amount of gasoline in an
automobile's tank and the distance travelled
since the last fill-up?

Answers

Answer:

-0.04x +17.2

Step-by-step explanation:

PLEASE HELP ME WITH QUESTION ONE AND EXPLAIN YOUR ANSWER PLEASE

Answers

Answer:

168 in³

Step-by-step explanation:

First, you get the area of the triangle - 1/2(7)(6)=21.  Then you multiply it by the height.  21x8=168

Answer:

Answer in explanation

Step-by-step explanation:

The formula for volume of a triangular shape is Volume = base x height x length / divided by 2

1. V = 7 ( base ) x 6 ( height ) x 8 ( length ) divided by 2 = 168in3 ( in cubed )

2. V = 5 ( base ) x 6 ( height ) x 3 ( length ) divided by 2 = 45in3 ( in cubed )

* make sure you put all your answers for volume in in3

I hope this helped, good luck!

pls answer ill give brainliest

Answers

Answer:

15

Step-by-step explanation:

the angle is opposite to 60 so it is also 60

60-45 = 15

Hope this helps :)

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