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Lady_Fox [76]
1 year ago
11

Multiply: (x+4)(x^2+2x+3) Simplify and write your answer in Standard Form.

Mathematics
1 answer:
Oxana [17]1 year ago
6 0

Answer:

x^3+6x^2+11x+12

Step-by-step explanation:

(x+4)(x^2+2x+3)

=x(x^2+2x+3)+4(x^2+2x+3) [by multiplying with bith sides]

=x^3+2x^2+3x+4x^2+8x+12

=x^3+2x^2+4x^2+3x+8x+12

=x^3+6x^2+11x+12

(please mark me brainliest)

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Heya ~
KATRIN_1 [288]

In this exercise we have to use subtraction knowledge to calculate the final value of the equation, like this:

Letter C

<h2>What is subtraction?</h2>

It is a mathematical operation in which it is possible to find a quantity by decreasing one number by another, it is opposed to addition, being represented by the minus sign.

So make the calculus we have:

y=x-7\\x=4\\y=4-7\\y=-3

See more about subtraction at brainly.com/question/4319655

4 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!! PLEASE HELP ASAP!! (Include question number)
alexgriva [62]

Answer:

The first one is F' each one is around $36

7 0
3 years ago
Read 2 more answers
PLEASE HELP! BRAINLIEST!!!!!!! PLEASE
Gnesinka [82]
Hello!

First you have to find the volume of the cylinder

To find the volume of a cylinder you use the equation

V =  \pi  r^{2} h

V is volume
r is radius
h is height

Put in the values you know and 3.14 for pi

V = 3.14 *  3^{2} * 7

Square the number

V = 3.14 * 9 * 7 

Multiply

V = 197.82
------------------------------------------------------------------------------------------------------
Next you find the volume of the sphere

To find the volume of a sphere you use the equation

V =  \frac{4}{3}  \pi  r^{3}

V is volume
r is radius

Put in the values you know and 3.14 for pi

V =  \frac{4}{3} * 3.14 *  3^{3}

Cube the number

V =  \frac{4}{3} * 3.14 * 27

Multiply

V = 113.04
------------------------------------------------------------------------------------------------------
Finally you subtract the two volumes from each other

197.82 - 113.04 = 84.78
------------------------------------------------------------------------------------------------------
The answer is C)84.78

Hope this helps!
7 0
3 years ago
Read 2 more answers
Simplify 5 – 2y + (-8y) + 5.5.
zavuch27 [327]

Answer:

-10y + 10.5

Step-by-step explanation:

5 - 2y + (-8y) + 5.5

5 - 2y - 8y +5.5

-10y + 10.5

3 0
2 years ago
Read 2 more answers
A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
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