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3 years ago

What is the vertex of g(x) = 3x2 − 12x + 7?

Mathematics

2 answers:

DENIUS [597]3 years ago

7 0

Answer:

C) (2, -5).

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).

blsea [12.9K]3 years ago

4 0

Answer:

the awnser is c

Step-by-step explanation:

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(2x > 10) list some values for x that would make this inequality true

Aneli [31]

Answer:

6 , 7 , 8 , 9...

Step-by-step explanation:

2x > 10

x > 5

then

x = 6 , 7 , 8, 9...

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1 year ago

Find the slope of this line: y=2x+7

kramer

Answer:

The slope is 2

Step-by-step explanation:

Y = mx+b y = mx+b is the shape of the slope-intercept where m is the slope.

4 0

3 years ago

Read 2 more answers

The expression means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

from the question:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

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3 0

3 years ago

What is the inverse of the following statement? If it is night, the street lights will come on. Select the best answer from the

marshall27 [118]

ANSWER

C. If it is not night, then the street lights will not come on.

EXPLANATION

The given statement is

"If it is night, then the street lights will come on"

Given the statement,

"If p, then q",

then the inverse of this statement is

"If it is not night,then the street lights will not come on"

"If not p, then not q"

The correct choice is C.

3 0

2 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y

xz_007 [3.2K]

Answer:

The equation of the parallel line to the given equation is

3 x-4 y = -4 and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

Step-by-step explanation:

Explanation:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

The equation of the parallel line to the given equation is

3 x - 4 y = k

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

-12 +8 = k

k = -4

The equation of the parallel line to the given equation is

3 x- 4 y = -4

Dividing '4' on both sides , we get

$\frac{3 x-4 y}{-4} = 1$

$\frac{-3 x}{4} +y =1$

$y = 1 + \frac{3 x}{4}$

Conclusion:-

∴ The equation of the parallel line to the given equation is

3 x- 4 y = -4

and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

5 0

3 years ago