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dybincka [34]
3 years ago
8

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

y = -\frac{5}{3}x+\frac{2}{3}

Step-by-step explanation:

Given

f(-2) = 4

f(1) = -1

Required

The equation of the function

The given parameters means that:

(x_1,y_1) = (-2,4)

(x_2,y_2) = (1,-1)

Calculate the slope (m)

m = \frac{y_2 -y_1}{x_2 -x_1}

m = \frac{-1-4}{1--2}

m = \frac{-5}{3}

The equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y =\frac{-5}{3}(x--2)+4

y =\frac{-5}{3}(x+2)+4

Open bracket

y = -\frac{5}{3}x-\frac{10}{3}+4

Take LCM

y = -\frac{5}{3}x+\frac{-10+12}{3}

y = -\frac{5}{3}x+\frac{2}{3}

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Answer:

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6 0
3 years ago
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IRINA_888 [86]

Answer:

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Step-by-step explanation:

You would first create an explicit formula for the provided sequence.

The basic explicit formula for arithmetic sequences is a_{n} = d(n-1) + a_{1}, where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.

We would then substitute the values given into the formula.  

We are trying to solve the value of the 52nd term. This makes n = 52. The first number of the sequence is 5, so a1 is 5. Finally, d is 4 because we are adding 4 to each number in the sequence.

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6 0
2 years ago
What is the lower quartile of the following set? 28, 45, 12, 34, 36, 45, 19, 20 28.5 19.5 19 28
aleksandr82 [10.1K]
To find the lower quartile take the number of terms=n=12
to find the lower quartile take the equation (n+1)/4= 3.25
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so the lower quartile is between 19 and 19.5 exactly 19.125
5 0
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Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?
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