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3 years ago

Help? Sorry if it’s pink

Mathematics

1 answer:

Vadim26 [7]3 years ago

6 0

3 = 3/4(b - 8)
Switch sides
3/4(b - 8) = 3
Next, multiply both sides by 4
4 * 3/4(b - 8) = 3 * 4
Then simplify,
3(b - 8) = 12
Next, divide both sides by 3
3(b - 8)/3 = 12/3
Then, simplify
b - 8 = 4
Then, add 8 to both sides
b - 8 + 8 = 4 + 8
Simplify, b = 12

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Given the piecewise function shown below select all the statements that are true

Rina8888 [55]

The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:

f(-1) = -(-1) + 1

f(-1) = 2 ✓

3 0

3 years ago

Read 2 more answers

A blimp travels 255 feet in 1/2minute, 510 feet in 1/6 minute, and 3,060 feet in 1 minute.

borishaifa [10]

Answer:

We conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

Step-by-step explanation:

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

In our case we are given:

A blimp travels 255 feet in 1/2 minute

A blimp travels 255 feet in 1/2minute.

here:

y = 255, and x = 1/2 = 0.5

so substituting y = 255 and x = 0.5 in the equation

k = y/x

k = 255 / 0.5

k = 510

A blimp travels 510 feet in 1/6 minute

here:

y = 510 , and x = 1/6

so substituting y = 510 and x = 1/6 in the equation

k = y/x

k = [510] / [1/6]

k = 3060

A blimp travels 3,060 feet in 1 minute

here

y = 3,060, and x = 1

so substituting y = 3,060 and x = 1 in the equation

k = y/x

k = 3,060 / 1

k = 3060

HERE IS THE VARIATION OF THE CONSTANT OF VARIATION:

A blimp travels 255 feet in 1/2 minute

k = 510

A blimp travels 255 feet in 1/2 minute

k = 3060

A blimp travels 3,060 feet in 1 minute

k = 3060

It is clear that the constant of variation does not remain constant.

Therefore, we conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

6 0

2 years ago

Rudiy27

Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.

If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.

If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.

However, the area x*y must be constant and = 100.

We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.

We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.

So, the difference between the max and min values of x+y = 101 - 20 = 81.

6 0

3 years ago

The original price of a coat is $90. It is on sale for 20% off. How much will you pay if you buy the cost during the sale?

ziro4ka [17]

Answer:

72$

Step-by-step explanation

How to insert in a calculator 90-20%= 72

How to take 20% from a price

Divide the original price by 5. 18

Subtract this new number from the original one. 90 - 18 

The number you calculated is the discounted value. 90 - 18 = 72