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3 years ago

Evaluate -4x^2 + 2x - 6 when x = -2.

Mathematics

1 answer:

trasher [3.6K]3 years ago

7 0

Answer:

-26

Step-by-step explanation:

-4(-2)^2 + 2(-2) - 6

-4(4) + -4 - 6

-16 -10

-26

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Find the vertex of the parabola.

Gnesinka [82]

Answer:

The vertex is (3,4)

Step-by-step explanation:

f (x) = x^2 - 6 x + 13

Completing the square

-6/2 = -3 and squaring it = 9

= x^2 -6x +9 +4

= ( x-3) ^2 +4

The equation is now in vertex form

a( x-h) ^2 +k

where the vertex is ( h,k)

The vertex is (3,4)

4 0

3 years ago

What is the answer to 3x-7+6=7x+6

strojnjashka [21]

3x - 7 + 6 = 7x + 6
First shift all the pure numbers to one side
3x = 7x + 6 + 7 - 6
Now add up the pure numbers
3x = 7x + 7
Shift the 7x to the other side
3x - 7x = 7
-4x = 7
Divide 7 by - 4
X = - 1.75

3 0

3 years ago

Which expressions are equivalent to when x0? Check all that apply.

Genrish500 [490]

We have that

$\frac{(x+4)}{3} / \frac{6}{x} = \frac{x*(x+4)}{3*6} \\ \\ = \frac{( x^{2} +4x)}{18}$

therefore

case a)
$\frac{(x+4)}{3} * \frac{x}{6}$
Is equivalent

case b)
$\frac{6}{x} * \frac{(x+4)}{3}$
Is not equivalent

case c)
$\frac{x}{6} * \frac{(x+4)}{3}$
Is equivalent

case d)
$\frac{(2 x^{2} +4x)}{6}$
Is not equivalent

case e)
$\frac{(2 x^{2} +4x)}{18}$
Is equivalent

Hence

the answer is

$\frac{(x+4)}{3} * \frac{x}{6}$

$\frac{x}{6} * \frac{(x+4)}{3}$

$\frac{(2 x^{2} +4x)}{18}$

3 0

3 years ago

Read 2 more answers

9. On Johnny math test, he was asked to re-write the expression –3(x + 10) by using the distributive

kirill [66]

Answer:

No, he is incorrect because he forgot to multiple the negative by the x, and only multiplied 3 by x instead of -3 by x.

Step-by-step explanation:

The correct re-write of this expression is:

-3x - 30

5 0

3 years ago