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Daniel [21]
3 years ago
13

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x?

Mathematics
2 answers:
Westkost [7]3 years ago
4 0
The vertex is (-1.5, -6.75). So the x-coordinate is -1.5. Hope this helps and if so please leave a good rating and thanks. I really appreciate it. Have a nice day!
lisabon 2012 [21]3 years ago
3 0

Answer:

-1.5

Step-by-step explanation:

We have been given an equation y=3x^2+9x. We are asked to find the x-coordinate of the vertex of the parabola for our given equation.

We will use formula \frac{-b}{2a} to finc the x-coordinate of vertex of given parabola.

Upon substituting our given values in above formula we will get,

\frac{-9}{2*3}

\frac{-3*3}{2*3}

\frac{-3}{2}

-1.5

Therefore, the x-coordinate of vertex of given parabola is -1.5.

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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

x2 = 2

x1 = 3

Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

y = mx + c. It becomes

4 = 5 × 3 + c

4 = 15 + c

c = 4 - 15 = - 11

The equation becomes

y = 5x - 11

8 0
3 years ago
Solve for x x + 47 = -23
givi [52]
X = -23 - 47 
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7 0
3 years ago
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Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th
Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?  

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / \frac{5}{2}m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = \frac{5}{2}m

Volume of the large fridge = \frac{5\times 2}{2} = 5m³

Ratio of the volumes of the large and regular fridge = \frac{5}{2}=2.5:1

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

3 0
3 years ago
What is 40% equivalent to?
olga_2 [115]

Answer:0.4

Step-by-step explanation:

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478 divided 16 using partial quotients
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29.875 this is ur answer
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