All categories

4 years ago

What is the factored form of 4x2 + 16x?

Mathematics

1 answer:

bearhunter [10]4 years ago

5 0

Answer:

4x(x+4)

Step-by-step explanation:

both 4x^2 and 16x are divisible by 4x so that's what we'll factor out:

$\frac{4x^2}{4x} =x$

and

$\frac{16x}{4x} =4$

so now we have our two factored numbers we will put 4x on the outside of the parentheses since that's what we factored our numbers by.

4x(x+4)

Hope this helps!

You might be interested in

Gertrude accepted a job as a fashion model after being offered a $375 signing bonus. If she makes $56 an hour, which equation mo

kompoz [17]

B is the answer.

x (the variable for number of hours worked) must be connected the number indicating the hourly rate, which is 56.

375 must be added at some point in the equation due to it being an indicated signing bonus (it has to be added).

7 0

3 years ago

Read 2 more answers

Judy has 15 books in her library. She bought some books at a thrift store on Saturday. She now has 85 books in her library. How

netineya [11]

She bought 70 books at the thrift store.

6 0

2 years ago

Read 2 more answers

Select three ratios that are equivalent to 7:6

Otrada [13]

14:12

21:18

28:24

That should be the answer

6 0

3 years ago

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$