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3 years ago

Pleeeeeeeease Help ME Examine the following function.

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Answer:

2(x - 3)(x - 9)

Step-by-step explanation:

Given

f(x) = 2x² - 24x + 54 ← factor out 2 from each term

= 2(x² - 12x + 27) ← factor the quadratic

Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (- 12)

The factors are - 3 and - 9 , since

- 3 × - 9 = + 27 and - 3 - 9 = - 12 , thus

x² - 12x + 27 = (x - 3)(x - 9) and

f(x) = 2(x - 3)(x - 9) ← in factored form

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The polygons below are similar. Find the value of z.

Solnce55 [7]

The value of z is 8.

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2 years ago

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mario62 [17]

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3 years ago

For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?

ser-zykov [4K]

Answer:

$\boxed{\sf k=6}$

Step-by-step explanation:

$\sf kx (x-2)+6=0$

Expand brackets.

$\sf kx^2 -2kx+6=0$

This is in quadratic form.

$\sf ax^2 +bx+c=0$

Since this is for equal roots:

$\sf b^2 -4ac=0$

$\sf a=k\\b=-2k\\c=6$

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$\sf 4k(k-6)=0$

$\sf 4k=0\\k=0$

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Plug k as 0 to check.

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False.

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3 years ago

How many feet is in 215 yards

Lilit [14]

645 feet.

Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this

x215
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x 215

We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.

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Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

-x-y=1

y=-x+4

x=-y-1

x=-y+4

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2 years ago