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soldier1979 [14.2K]
2 years ago
7

Write the linear function for the given function values. f(-2)=9 and f(6)=7

Mathematics
1 answer:
BigorU [14]2 years ago
6 0

Answer:

y = -\frac14x + 8.5

Step-by-step explanation:

Hello!

A linear function is written in the form of y = mx + b, where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

  • \frac{9 - 6}{-2 - 6}
  • \frac{2}{-8}
  • -\frac14

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

  • y = mx + b
  • 9 = -\frac14(-2) + b
  • 9 = 0.5 + b
  • 8.5 = b

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: y = -\frac14x + 8.5

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3 years ago
One number is six greater than another. if the sum of the two numbers is 44, find the numbers
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3 years ago
Please help asap, I'm so confused lol.
Sladkaya [172]

Answer: $450

Step-by-step explanation:

We can form an equation representing the problem. The question is essentially asking 60% of what is equal to $270. If we define that what as a variable 'x', we get the following:

\frac{60}{100} *x=270

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Multiply both sides by 100:

\frac{60x}{100} *100=270*100

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Divide both sides by 60 to solve for the value of 'x':

x=\frac{27,000}{60} =450

Answer is 450 bucks

We can check this answer by taking 60% of $450. In principal, this should return the discount of $270.

\frac{60}{100} *450=270

Yup, it checks out

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Read 2 more answers
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