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Effectus [21]
1 year ago
11

Write a linear function f with the values f(0) =10 and f(6) =34.

Mathematics
1 answer:
LUCKY_DIMON [66]1 year ago
8 0

Answer:

f(x) = 4x + 10

Step-by-step explanation:

The given information is in the form f(x) = y.

f(0) = 10 means if x is 0, y is 10. This is the point (0,10)

Likewise, f(6) = 34

means when x is 6, y is 34. That is the point (6,34).

Slope is y-y / x-x

34-10 / 6-0

is 24/6.

The slope is 4.

The y-intercept is where x is 0, that is 10.

y=mx+b is slope-intercept form. Fill in the slope, 4 for m and the y-intercept, 10, for b.

y = 4x + 10

but they also asked to call it f, so for function notation, use f(x) instead of y.

f(x) = 4x + 10

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10) The temperature recorded at 12 noon was 15°C above zero. If it decreases at the rateof 3°C per hour until midnight, at what
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