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Dmitriy789 [7]
4 years ago
13

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.

Mathematics
1 answer:
AleksAgata [21]4 years ago
7 0
The vertex is the point at which the parabola or quadratic equation opens up or down. To calculate the parabola, we must use the formula: -b/2a = x; x = -16/2(4) x = -2
Substitute -2 in where you see x appear and do the arithmetic to find that y = -15. Therefore, the vertex coordinates are (-2,-15).
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I need help with #66 and #68
NeX [460]

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

b = -8.9

Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]

4 0
3 years ago
1. Select the equations where y = 3 is the
Sauron [17]
D and e is the answer
4 0
3 years ago
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Branden and Pete each play running back. Branden carries the ball 75 times for 550 yards, and Pete has 42 carries for 380 yards.
Bezzdna [24]

Answer:pete with 9.04yards per carry

Step-by-step explanation:take the yards/caries to get your answer

5 0
3 years ago
Help? Write an exponential function for the set of points. (Image Attached)
Nina [5.8K]

Answer:

1. Plug values into table inside calculator.

You can acess table by pressing [STAT] > Edit...

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3 0
3 years ago
Three of Santas helpers are a combined height of 11 feet and 6 inches. Clem is 15 inches shorter than Clyde who is 6 inches tall
Tresset [83]

Answer:

Clem's Height =38 Inches

Clyde's Height= 53 Inches

Chloe's Height = 47 Inches

Step-by-step explanation:

Let Clem's height be x, Clyde's height be y and Chloe's height be z

As given

x+y+z=11 feet 6 inches

As 1 Foot= 12 Inches so  (11*12+6)=138

x+y+z= 138 inches  (Equation 1)

Clem is 15 inches shorter than Clyde so:

x+15=y         (Equation 2)

Clyde is 6 inches taller than Chloe

z=y-6        (Equation 3)

Putting z's value from equation 3 in equation 1

x+y+y-6=138

x+2y=138+6

x+2y=144    (Equation 4)

Putting Value of y from equation 1 in equation 4

x+2(x+15)=144

x+2x+30=144

3x=144-30

x=114/3

x=38

Putting x's value in equation 1 to get the value of y

38+15=y

y=53

Putting value of y in equation 3

z=53-6

z=47

Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not

38+53+47=138

138=138

3 0
4 years ago
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