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solong [7]
4 years ago
11

Complete the square to determine the minimum or maximum value of the function the expression defines. x2 − 38x + 9 A) maximum va

lue at 361 B) minimum value at −352 C) maximum value at −352 D) minimum value at −361
Mathematics
2 answers:
dolphi86 [110]4 years ago
5 0

Answer: B -352

Step-by-step explanation:

Sergio039 [100]4 years ago
4 0

Answer:

minimum value at −352

Step-by-step explanation:

First, set the expression equal to 0.

x2 − 38x + 9 = 0

Complete the square.

x2 − 38x = −9

x2 − 38x + 361 = 352

(x − 19)2 − 352 = 0

Therefore, the minimum value is −352.

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The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x).
Kay [80]

Answer:

  g(x) = |x| -9

Step-by-step explanation:

In the form ...

  g(x) = a|x -h| +k

the parameters are ...

  • a: the vertical scale factor (1)
  • h: the right shift of the vertex (0)
  • k: the upward shift of the vertex (-9)

The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).

Then the translated function is ...

  g(x) = |x| -9

8 0
4 years ago
Will upvote every thing
Nastasia [14]
When 2 lines are coinciding, this means its the same line.
One equation is simply a multiple of the other.

8x = 4x*2
This means the multiplier is 2

5y*2 = 10y

8*2 = 16

The missing values are 10y and 16
3 0
4 years ago
What is are the numbers to P.I.E
Finger [1]

Answer:

Step-by-step explanation:

4 0
3 years ago
6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
3 years ago
A rocket moves at the speed of 4.9 miles per second. How fast is the rocket traveling kilometers/hour (km/h)?
enot [183]
52 I think is the answer
7 0
4 years ago
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