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JulsSmile [24]
3 years ago
10

Write a linear function ff with f(4)=−3f(4)=−3 and f(0)=−2f(0)=−2

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0
<span>The line goes through the points (4,-3) and (0,-2), so its gradient is (-2-(-3))/(0-4) = -1/4. The y-intercept is -2 because f(0)=-2. So the equation of the line is y = -1/4 x - 2.This can be represented by the linear function f(x) = (-1/4)x - 2. The composite function ff is given by ff(x) = f(-1/4 x - 2) = (-1/4)((-1/4)x - 2) - 2 = x/16 - 3/2.</span>
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Step-by-step explanation:

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Nadya [2.5K]

Answer:

25150

Step-by-step explanation:

First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it.  (a geometric sequence would be a multiplication, not an addition)

So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.

To do this without spending hours writing them down, we can use this formula:

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If we plug in our values, we have:

S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)

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8 0
3 years ago
Read 2 more answers
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and
defon

The expression that can be used to approximate the expression below islog_a x = \frac{log_{b}a}{log_{b}x}

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This is similar to the option c where the base of "b" was used as log_a x = \frac{log_{b}a}{log_{b}x}

Learn more on law of logarithms here: brainly.com/question/11587706

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4 0
3 years ago
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