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2 years ago

F(x) = -x² + 7x - 12 One factor of this is (x - 4). Find the other factor.

Mathematics

1 answer:

saveliy_v [14]2 years ago

4 0

Answer:

(3-x) is the other factor.

Step-by-step explanation:

The given function is :

$F(x)=-x^{2}+7x-12$

One of the factor is (x-4)

We need to find the other factor.

It can be solved as follows :

$F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)$

So, the other factor is (3-x).

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Find the volume of the following. Please round your answer to the nearest tenth. Please do not put units. Hint: You need to use

Sophie [7]

Answer:

V = 1,568

Step-by-step explanation:

The Volume of a Square Pyramid

Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:

$\displaystyle V=\frac{1}{3}a^2h$

We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft

We use Pythagora's theorem:

$25^2=h^2+7^2$

Solving for h:

$h^2=25^2-7^2=625-49=576$

$h=\sqrt{576}=24$

The height is h=24 ft. Now the volume is calculated:

$\displaystyle V=\frac{1}{3}*14^2*24$

V = 1,568

3 0

2 years ago

If 3x = 7y, what are the following ratios? 3y:x

Orlov [11]

for

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which will give us

while keeping the equation balance.

8 0

2 years ago

A recipe requires 3\4 cup of nuts for one cake how many cakes can be made using 7 1\2 cups of nuts

Flauer [41]

Answer:

10 cakes

Step-by-step explanation:

7 0

2 years ago

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Find the median for 8, 11, 6, 14, x, 13, and 11

Rainbow [258]

Median = 11. Sorry if wrong

If right, pls mark brainliest i wanna get virtuoso.
Have a great day

4 0

3 years ago

Find the solutions to y = (x – 1)2 for x = –3, 0, and 3.

Harman [31]

Answer:

if the 2 is the power of (x-1) here is ur answer

$y = (x - 1 ){}^{2} \\if \: x \: is \: \: equal \: to \: - 3 \\ y =( - 3 - 1) {}^{2} \\ y = ( - 4) {}^{2} \\ y = 16$

$if \: x = 0 \\ y = (0 - 1) {}^{2} \\y = ( - 1) { }^{2} \\ y = 1$

$if \: x = 3 \\ y = (3 - 1) {}^{2} \\ y = 2 { }^{2} \\ y = 4$

(-3,16) (0,1) (3,4)

7 0

3 years ago