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Eva8 [605]
3 years ago
6

Suppose that the function g is defined, for all real numbers, as follows.

Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

5/2

Step-by-step explanation:

g(-3) falls under x<=-1 so substitute -3 on x

-1/2(-3)+1

3/2+1

5/2

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Answer:

k = - 2

Step-by-step explanation:

Lines g(x) and f(x) passes through the points (2, 0), (0, 2) & (4, 0), (0, 4)

Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.

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Equation of line g(x)

For point (0, 2)

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Equation of line f(x)

For point (0, 4)

y- intercept (b) = 4

y = mx + b

f(x) = - 1x + 4 [y = g(x)]

f(x) = - x + 4

It is given that:

g(x) = f(x) + k

g(x) - f(x) = k

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-x + 2 + x - 4 = k

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A truck whose bed is 2.5m long, 1.5m wide, and 1.0m high is delivering sand for a sand-sculpture competition. About how many tri
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4 years ago
Read 2 more answers
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