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andrew-mc [135]
3 years ago
7

Simon charges an initial fee plus an hourly fee to repair TVs. The table below shows the amounts Simon charges for the first thr

ee hours of repair. What it’s the rate of change? What is the initial fee? Write a linear equation where x represents the number of hours worked and y represents the total fee of repairing the TV.

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

Rate of change: 25

Initial value: 25

Equation: y = 25x + 25

Step-by-step explanation:

✔️hours = x

Fee = y

Rate of change (m) = ∆y/∆x

Rate of change (m) = 25/1 = 25

Rate of change (m) = 25

✔️Initial value = y-intercept (b).

To find the initial value, simply substitute (x, y) = (1, 50) and m = 25 into y = mx + b.

Thus:

50 = (25)(1) + b

50 = 25 + b

Subtract 25 from each side

50 - 25 = b

25 = b

b = 25

✔️To write an equation, substitute m = 25 and b = 25 into y = mx + b.

Thus:

y = 25x + 25

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arlik [135]

Answer:

d=2,760\ ft

Step-by-step explanation:

Let

x ----> the height of the top of a mountain above sea level

y ----> the deep of a shipwreck below the sea level

we know that

The sea level represent the height equal to zero

In this problem we have

x=2,450\ ft ---> is positive because is above sea level

y=-310\ ft ---> is negative because is below sea level

To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

d=\left|x-y\right|

substitute the values

d=\left|2,450-(-310)\right|

d=\left|2,450+310\right|

d=\left|2,760\right|

d=2,760\ ft

5 0
3 years ago
The sum of two numbers is 19 . When the second number is subtracted from the first​ number, the difference is 17 . Find the two
zhenek [66]

Answer:

19 and 2

Step-by-step explanation:

Let x represent the first number and y represents second number

x + y = 19

x - y = 17 add two equations up

2x = 36 divide both sides by 2

x = 19 and since the difference is 17 the other number is 2

4 0
3 years ago
Help me plz quick only 5 mins​
solniwko [45]

Answer:

line B'C' = 1

m<C'D'A' = 90 degrees (it is still a rectangle)

Step-by-step explanation:

Dilation of coordinates:

Original: d:(3,2), a:(3,4), b:(7,4), c:(7,2)

Divide all numbers by 2.

Altered: d:(1.5,1), a:(1.5,2), b:(3.5,2), c:(3.5,1)

8 0
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Show all work to factor x^4 − 17x^2 + 16 completely.
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Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

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Answer:

xnone=

Step-by-step explanation:

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