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2 years ago

Which expression is equivalent to 2x² - x + ?

Mathematics

1 answer:

Delvig [45]2 years ago

6 0

Answer: $2\left(x-\frac{1}{4} \right)^{2}$

Step-by-step explanation:

$2x^{2}-x+\frac{1}{8}\\\\=2\left(x^{2}-\frac{1}{2}x \right)+\frac{1}{8}\\\\=2\left(\left(x-\frac{1}{4} \right)^{2}-\frac{1}{16} \right)+\frac{1}{8}\\\\=2\left(x-\frac{1}{4} \right)^{2}-\frac{1}{8}+\frac{1}{8}\\\\=\boxed{2\left(x-\frac{1}{4} \right)^{2}}$

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Answer:

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it shows in the image that AC and AB are isosceles so 2x - 24 would be equal to x - 2

2x - 24 = x -2 ➡ x = 22

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3 years ago

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Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5?

umka21 [38]

<h2>Answer:</h2>

The statement which best describes the effect of replacing the function f(x) with g(x) is:

The graph shifts 7 units up.

<h2>Step-by-step explanation:</h2>

The function f(x) is given by :

$f(x)=2x-2$

The function f(x) is a linear function with positive slope.

and the function g(x) is given by:

$g(x)=2x+5$

The function g(x) is a linear function with same positive slope.

Also, we know that any transformation of the type:

f(x) → f(x)+k

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g(x)=2x-2+7

i.e.

g(x)=f(x)+7

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