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Katarina [22]
2 years ago
13

The graphs of functions f(x) and g(x) = f(x) + k are shown:

Mathematics
1 answer:
iogann1982 [59]2 years ago
5 0

Answer:

9514 1404 393

Step-by-step explanation:

 k = 2

The point (0, 0) on the graph of f(x) tells you f (0) = 0.

The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.

Now we know that

 g(-2) = 0 = f(0) = f(-2+k)

or ...

 0 = -2+k

 2 = k

The value of k is 2

so the answer to you problem is k=2

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A supermarket offers a delivery service. If a customer pays $9 per month, each delivery costs just $2. Write an equation that sh
Rzqust [24]

The linear function that models the total cost for x deliveries is:

y(x) = 2x + 9

-------------------

A linear function has the following format:

y = mx + b

In which

  • m is the slope, that is, the rate of change.
  • b is the y-intercept, that is, the value of y when x = 0.

In this problem:

  • Fixed cost of $9 per month, b = 9.
  • Cost of $2 for each delivery, thus m = 2.

The function for the <u>total cost for x deliveries is:</u>

y(x) = 2x + 9

A similar problem is given at brainly.com/question/16270359

4 0
3 years ago
What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
6 0
3 years ago
PLEASE HELP !!!!!!!!!
iVinArrow [24]

Answer:

f (x) = 4,500 + 250x; 24 months

Step-by-step explanation:

Because 10,500 - 4,500 = 6,000

6,000 / 250 = 24

Hope this helped

4 0
3 years ago
Meg mixes 3 parts silver paint with 4 parts green paint to get a specific color. Is the ratio 5:6 equivalent to 3:4?
damaskus [11]

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Essentially, ratio to be equal must be equal. E.g. 3:4 would be equal to 6:8 because you multiply both sides of the ratio by 2.

7 0
3 years ago
Read 2 more answers
if a square has an area of 255 square yards and a perimeter of 60 yards what is the side length of the square
Marta_Voda [28]

Answer: 15, if area is supposed to be 225

Step-by-step explanation:

60 / 4 sides = 15

15*15= 225

8 0
3 years ago
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