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3 years ago

Use a geometric model to factor x^2-6x+8 by following these steps

Mathematics

1 answer:

belka [17]3 years ago

6 0

Answer: (x−2)(x−4)

Step-by-step explanation: Let's factor x2−6x+8

x2−6x+8

The middle number is -6 and the last number is 8.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -6

Multiply together to get 8

Can you think of the two numbers?

Try -2 and -4:

-2+-4 = -6

-2*-4 = 8

Fill in the blanks in

(x+_)(x+_)

with -2 and -4 to get...

(x-2)(x-4)

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How do you solve: f(x) = -x2e-x +2xe-x , finding the zero's of f.

Maksim231197 [3]

Answer:

0 and 2

Step-by-step explanation:

$f(x) = -x^2e^{-x}+2xe^{-x}$

To find zeros set f(x)=0 and solve for x

$0 = -x^2e^{-x}+2xe^{-x}$

$0 = -e^{-x}(x^2-2x)$

now factor out x

$0 = -xe^{-x}(x-2)$

set each factor =0 and solve for x

$x=0$

$-e^{-x}=0$ no solution for x

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zeros of f are 0 and 2

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Read 2 more answers

Is the enlargement or a reduction? Find the scale factor of the dilation. Explain

malfutka [58]

Good evening ,

Answer:

In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)

and also the scale factor = OA’/OA = 2/6 = 1/3

since -1 < 1/3 < 1 then it’s a reduction.

Step-by-step explanation:

Look at the photo below for more details (notice OA’ and OA).

________________________________________________

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Question 3 Find 250% of 4.4

alexdok [17]

Step-by-step explanation:

$\to \sf \: \: 250\% \: of \: 4.4 \\ \sf \to \frac{250}{100} \times \frac{44}{100} \\ \sf \to \: \frac{11 \cancel{000}}{10 \cancel{000}} \\ \sf \to \: \frac{11}{10} \\ \sf \to \: 1.1 \: ans.$

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