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1 year ago

which function rule is represented by the tablex 0 1 2 3y 0 -7 -14 -21a y= 7xb y= -7xc y= x-8d y= 7x-14

Mathematics

1 answer:

salantis [7]1 year ago

8 0

The answer is y = -7x

Expalnation

Two points on the table are (0,0) and (1,-7)

Change in y = -7-0 = -7

Change in x = 1-0 = 1

Slope m of the function = -7/1= -7

Using y= mx + c

Picking point (0,0), x = 0, y = 0

y = mx + c becomes

0 = -7(0) + c

0 = 0 + c

c= 0

Hence, the equation is y = -7x + 0

which is y = -7x

Option b is the correct answer

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7. Jerry has 23 coins in nickels, n, and dimes, d. He

aliya0001 [1]

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know. The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

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Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

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