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Kruka [31]
2 years ago
10

Write a function rule for the statement, “The output is 4 less than the input.” Then, complete the table.

Mathematics
2 answers:
Levart [38]2 years ago
8 0

Answer:5

Step-by-step explanation:

alukav5142 [94]2 years ago
8 0

Answers:

  • Slope:  1
  • y-intercept:  -4
  • equation:     y = x-4
  • y outputs: -4, -3, -2, -1, 0

Those y outputs are placed into the table in the order shown. For instance, -1 goes right underneath the '3'.

========================================================

Explanation:

Let's find the equation first. The function rule is "the output is 4 less than the input". So whatever the input x is, we subtract off 4 to get the output y.

This leads directly to the equation y = x-4

This is the same as saying y = 1x-4 which is in the form y = mx+b

m = 1 is the slope and b = -4 is the y intercept

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

Once we have the equation, we plug in the given input x values one at a time to find their corresponding y values.

For example, if x = 0, then,

y = x-4

y = 0-4

y = -4

So we have x = 0 pair up with y = -4. We write -4 underneath the 0 in the table given.

Then we write -3 under the "1" in the table because

y = x-4

y = 1-4

y = -3

And so on. Repeat this process until you get to x = 4.

You should have these ordered pairs

  • x = 0, y = -4
  • x = 1, y = -3
  • x = 2, y = -2
  • x = 3, y = -1
  • x = 4, y = 0
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One kilogram is approximately equal to 2.21 pounds. Find the number of pounds in 165 kilograms. Round to the nearest tenth of a
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Answer: 364.7 pounds

Step-by-step explanation: Multiply the number of kilograms, 165, by the number of pounds per kilogram, 2.21.

165 x 2.21 = 364.65

Round to the nearest tenth.

364.7 pounds in 165 kilograms.

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3 years ago
For a random sample of 20 professional athletes, there is a strong, linear relationship between the number of hours they exercis
QveST [7]

Answer:

D) -0.87

Step-by-step explanation:

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6 0
2 years ago
Evaluate A2 for A = -4
vekshin1
Hello there!

Evaluate a²  for a = -4

The first step we need to do is replace a by -4

So we have (-4)²

Now what you have realize is that we need to multiply -4 by itself twice.

So it should looks like this:

-4 * -4

The rules says that when we have minus * minus, the answer is positive.

So we have -4 * -4 = 16

Answer: 16

I hope this helps!

Please let us know if you have other questions.

#Garebear
8 0
2 years ago
Let f(x) = 2x3 – 4x.<br> Find f(-2).
N76 [4]

Answer:

Step-by-step explanation:

f(x) = 2x^3 - 4x.....find f(-2).....so sub in -2 for x

f(-2) = 2(-2^3) - 4(-2)

f(-2) = 2(-8) + 8

f(-2) = -16 + 8

f(-2) = -8 <==

7 0
3 years ago
Read 2 more answers
What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34
Galina-37 [17]

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30              given

a1 = 6               given  

t30 = 209         calculated from step 2

Sum = (a1 + t30)*n/2        Substitute

Sum = (6+ 209)*30/2       Combine like terms and divide by 2

sum = 215 * 15                  Multiply

Sum = 3135                      Answer

4 0
3 years ago
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