MATHEMATICS HIGH SCHOOL

Given that f(x) = x^2 + 14x + 45 and g(x) = x + 9, find f(x) ÷ g(x) and express the result as a polynomial in simplest form.

Answers

Answer 1
Answer:

Answer:

x + 5

Step-by-step explanation:

Let's first set up the equation f(x) ÷ g(x)

(x^(2) + 14x + 45)/(x + 9)

Notice that we can factor the numerator into (x + 9)(x + 5) because adding the two constants [9 + 5] creates the coefficient for the middle term [9 + 5 = 14] for f(x), and multiplying the two constants [9 * 5] creates the constant [9 * 5 = 45] for f(x):

((x + 9)(x + 5))/(x + 9)

Now, we can simplify the fraction:

((x + 9)(x + 5))/(x + 9) = (x + 9)/(x + 9) * (x+5) = 1*(x+5) = x+5

The answer is "x + 5".

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How many time does three go into 4356

Answers

all we do is divide 4356 by 3 
lets do the math :)
4356 ÷ 3 = 1452

Answer = 1452 times
:)

Please help this is due in an hour

Answers

Answer:

B: Not proportional

Step-by-step explanation:

This wouldn't be proportional because for you, you are making 22 heartbeats in 20 seconds and 22-20 is 2. But if you look at your friend, he/she is doing 18 heartbeats in 15 seconds so add 5 so that 23 heartbeats is happening in 20 seconds and 23-20 is 3. If we compare, 3 is not the same as 2 making it not proportional.

Answer:

Not proportional

Step-by-step explanation:

22/20 does not equal 18/15.

Bertha and Vernon are competing in a diving competition. Bertha's dive ended -24 m from the starting platform. Vernon's dive ended -4 m from the starting platform. How many times farther was the end of Bertha's dive than the end of Vernon's dive?A. 

-6

 B. 

6

 C. 

20

 D. 

-20

help help help

Answers

Answer:

B. Bertha's dive ended 6 times farther than Vernon's dive.

Step-by-step explanation:

We have that,

Bertha's dive ended -24 m from that starting point.

Vernon's dive ended -4 m from that starting point.

So, we get that,

Bertha's end point = 6 × Vernon's end point

i.e. -24 = 6 × (-4)

So, we see that,

Bertha's dive ended 6 times farther than Vernon's dive.

What is the side length of a cube with a volume of 3375 cm3

Answers

If you would like to know what is the side length of a cube with a volume of 3375 cm^3, you can calculate this using the following steps:

a ... side of a cube
V = a^3
3375 = a^3
a = 15 cm

The correct result would be 15 cm.
 The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.

Which graph What is the solution to the compound inequality in interval notation? 2(2x−1)>6 or x+3≤−6represents the solution set of the compound inequality -5 < a -15 < 2

Answers

Answer:

Step-by-step explanation:

Mai bought a television for $325. The tax rate is 8%. Which proportion can be used to find the amount of tax Mai will pay?

A.8/325=x/100

B.8/325=100/x

C.8/100=325/3

D.8/100=x/325

Answers

the answer is
A. 8/225 = x/100
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