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2 years ago

If f is a linear function where f(-1) = 4 and f(5)=1, find a formula for f(x).

Mathematics

1 answer:

Svetach [21]2 years ago

4 0

Answer:

f(x) = -0.5x + 3.5

Step-by-step explanation:

f(x) = mx + b

f(-1) = -m + b = 4 ...(1)

f(5) = 5m + b = 1 ...(2)

(1)-(2): -6m = 3 m = -1/2 (-0.5)

b = 4 + (-1/2) = 3.5

Equation: f(x) = -0.5x + 3.5

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Answer:

$A' =(-y,x)$

Step-by-step explanation:

Given

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2 years ago

If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following:<br><br> ln(a^-4/b^1 c^1)

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Ln ( a^(-4) / b^1 c^1 ) =
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4 0

2 years ago

15) Billy charges $15 to mow a yard. He needs at least $200 for the new bicycle that he wants. Write and solve an inequality to

andriy [413]

15x >= 200
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does this help?

5 0

3 years ago

Find the volume of the composite solid. Round your answer to the nearest hundredth.

Vera_Pavlovna [14]

Answer: see my work

Step-by-step explanation:

volume is lwh

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volume is 90

volume is 90 cubic cm

8 0

1 year ago

Read 2 more answers

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

2 years ago