MATHEMATICS HIGH SCHOOL

What are the steps to solving the inequality 3b + 8 ≥ 14

Answers

Answer 1

Answer:

Answer:

The solution of the given inequality $3b+8\geq 14$ is: $[2, \infty)$

Step-by-step explanation:

Given the inequality equation: $3b+8\geq 14$

Subtraction property of equality states that you subtract the same number to both sides of an equation.

Subtract 8 to both sides of an equation.

$3b+8-8\geq 14-8$

Simplify:

$3b\geq 6$

Division property of equality states that you divide the same number to both sides of an equation.

Divide both sides by 3 we get;

$(3b)/(3) \geq (6)/(3)$

Simplify:

$b\geq 2$

therefore, the solution of the given inequality is: $b\geq 2$ or $[2, \infty)$

Answer 2

Answer: 3b+8≥14
Subtract 8 from both sides
3b≥14-8
3b≥6
Divide both sides by 3
b≥6/3
b≥2

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What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the functiong(x) = (x + 5)2 + 3?

Answers

For this case we have that the parent function is given by:

We apply the following function transformations:

Horizontal translations:

Suppose that h> 0

To graph y = f (x + h), move the graph of h units to the left:

For h = 5 we have:

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 3 we have:

Answer:

The value represents the vertical translation from the graph of the parent function is:

Answer:

3 is the right answer on ENG 2022

Step-by-step explanation:

You want to make an investment in a continuously compounding account earning 5.8% interest. how many years will it take for your investment to double in value? round the natural log value to the nearest thousandth. round the answer to the nearest year. 27 years 8 years 34 years 12 years

Answers

For continuous compounding you'd use y=Pe^rt but to evaluate this problem you need a principle, or initial amount, which you haven't given.

What characteristics best describe the graph? Choose all that apply. *

Answers

Answer:

Options (1), (3) and (7)

Step-by-step explanation:

Characteristics of the given graph are as followed.

1). For every input value (x-value) there is a different output values (y-values).

So the points on the graph represent a function.

2). Coordinates of all the points are distinct and separate (not in fractions or decimals).

Function given is a discrete function.

3). For every increase in the x-values of the points there is a decrease in y-values.

Therefore, given function is a decreasing function.

Therefore, Options (1), (3) and (7) are the correct options.

Yasmin looked at the pattern 2, 16, 18, 54, and determined that the next number should be 162. What type of reasoning did she use? Question 8 options: inductive reasoning deductive reasoning algebraic reasoning direct reasoning

Answers

i think it would be inductive reasioning
good luck

What is the formula for volume of a cylinder

Answers

Answer:

V=πr2h

Explanation:

Hope this helps

Answer:

πr^2h

Step-by-step explanation:

it's pie multiplying square of radius and height of cylinder

Please help will mark brainliest

Answers

Answer:

20 ft² - 4ft² = 16 ft²

Step-by-step explanation:

First we solve for the whole rectangle:

Formula: A = ab

side length a = 5 in

side length b = 4 in

diagonal p = q = 6.4031242374328 in

perimeter P = 18 in

area A = 20 in²

Second we deduct the Area of the cutout of the Square

side length a = 2 ft

Area = a² = 4 ft²

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A number that represents part of a whole or part of the set is called

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A jar contains 7 blue cubes,4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at random, what is the probability that the object is green or a cube?

A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 17 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)