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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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A hot air balloon was at a height of 2180 feet It designated at a rate of 150 feet per minute for 6 minutes. Find it’s height

OleMash [197]

2,180 - 150 • m

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3 years ago

Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)

Pavlova-9 [17]

Answer:

$y=\frac{1}{4}x+2$

m= $\frac{1}{4}$

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m= $-\frac{1}{3}$

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Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=\frac{1}{4}x+2$

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=-\frac{1}{3}x+1$

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

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2 years ago

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s344n2d4d5 [400]

Answer:

<u>The ages of Paul and Selena are 13 and 7 years old.</u>

Step-by-step explanation:

Age of Paul = x

Age of Selena = x -6

Age of Paul and Selena in 15 years:

x + 15 = 4 (x - 6)

x + 15 = 4x - 24

x - 4x = -24 - 15

- 3x = -39

x = 13

<u>Paul now is 13 years old and Selena is 7 years old. In 15 years, Paul will be 28, that is 4 times the present age of Selena.</u>

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3 years ago

Read 2 more answers

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Step-by-step explanation

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3 years ago