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3 years ago

Find inverse of y=1/2x+3

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

Answer: f⁻¹(x)=2x-6

Step-by-step explanation:

To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.

y=1/2x+3 [replace y with x and x with y]

x=1/2y+3 [subtract both sides by 3]

x-3=1/2y [multiply both sides by 2]

y=2(x-3) [distribute]

y=2x-6

Now, we know the inverse function is f⁻¹(x)=2x-6.

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Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases fr

MakcuM [25]

Answer:

Increases 64 times

Step-by-step explanation:

The volume of the box can be calculated using formula

$V=l\cdot w\cdot h,$

where

V = volume,

l = length,

w = width,

h = height

If the length was 0.3 inches, then the volume was

$V_1=0.3\cdot w\cdot h=0.3wh$

When the length became 1.2 inches, then all dimensions became $1.2 :0.3 =4$ times greater, then the volume was

$V_2=1.2\cdot (4w)\cdot (4h)=19.2wh$

The volume increases

$\dfrac{V_2}{V_1}=\dfrac{1.92wh}{0.3wh}=64$ times

7 0

3 years ago

The measure of each angles

Aleks [24]

Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead

4 0

4 years ago

A building company used 24 workers to prepare a building site. The site measured 30 acres and the work was completed in 10 days.

maks197457 [2]

Answer:

30 workers are required.

Step-by-step explanation:

If the site measured 30 acres and was completed in 10 days, then it can be said that on average $\frac{30}{10} = 3\frac{acres}{day}$ were made.

Then, 24 workers completed 3 acres / day.

Then, $\frac{24.workers}{\frac{3acres}{day}} = \frac{8..Workers * days}{acre}$

8 workers can complete 1 acre per day

Now to know how many workers are needed to complete 45 acres in 12 days, we multiply:

$8\frac{Workers * days}{acre}*\frac{45}{12} \frac{acres}{days} = 30.workers$ .

Finally, 30 workers are required.

To solve this problem it was assumed that everyone worked at the same pace, which may not be true, the fact that some work at a slower or faster pace than another could alter the result, causing them to finish less or more acres by day.

6 0

3 years ago

If you know that A neq 0 and B neq 0, how can you write an equation in point-slope form of the equation Ax + By = C? The equatio

navik [9.2K]

Answer:

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4 0

3 years ago

What is 94237108 in standard form

Stels [109]

It would be:
$9.4237108*10^7$

7 0

3 years ago

Read 2 more answers