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Ahat [919]
3 years ago
12

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located

Mathematics
1 answer:
Katen [24]3 years ago
7 0

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k

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Ava worked 40 hours this week and made $520. How much did he earn each hour?
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4 0
3 years ago
A car travels 17 miles on one gallon of gas
zmey [24]

When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,

Step-by-step explanation:

Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.

Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;

x = 17y, this represents the relation between x and y.

To find the gallons in the tank, y = \frac{x}{17},

For x = 170, y = \frac{170}{17} = 10,

Similarly equating the values we get that when x = 187, y = 11,

when x = 204, y = 12,

when x = 221, y = 13,

when x = 238, y = 14,

when x = 255, y = 15,

when x = 272, y = 16,

when x = 289, y = 17,

when x = 306, y = 18,

when x = 323, y = 19,

when x = 340, y = 20,

8 0
2 years ago
dylan started working on homework at 5:45 p.m. it took him 1 hour and 57 minutes to complete it what time did
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5 0
3 years ago
3. What line forms when a plane and a cylinder intersect?
leonid [27]
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6 0
3 years ago
The midpoint of ab is M (-6,1 ). if the coordinates of A are (-7,-3 ),what are the coordinates of B
Scrat [10]

Answer:

B(-5,5).

Step-by-step explanation:

It is given that midpoint of AB is M (-6,1).  

Coordinates of A are (-7,-3 ).

We need to find the coordinates of point B.

Let coordinates of point B are (a,b).

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint of AB is

Midpoint=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)

(-6,1)=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)

On comparing both sides, we get

\dfrac{-7+a}{2}=-6

-7+a=-12

a=-12+7

a=-5

\dfrac{-3+b}{2}=1

-3+b=2

b=2+3

b=5

Therefore, the coordinates of B are (-5,5).

6 0
3 years ago
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