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2 years ago

Find the range and domain of the following set:

Mathematics

1 answer:

Darina [25.2K]2 years ago

5 0

Answer:

range: {-5, 1, 4, 5}
domain: {-5, -3, 0, 2}

Step-by-step explanation:

The range is the set of second numbers of the ordered pairs.

{-5, 1, 4, 5}

The domain is the set of first numbers of the ordered pairs.

{-5, -3, 0, 2}

Additional comment

It is generally convenient to write the elements of a set in sorted order.

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Which Is A Correct First Step For Solving This Equation? -5(4x-7)+8=3x

nordsb [41]

I'm not sure if this is a multiple choice question, so I will just solve the equation.

-5 (4x - 7) + 8 = 3x

-5 (4x + (-7)) + 8 = 3x

1. Distributive Property of Multiplication

(-5)(4x) + (-5)(-7) + 8 = 3x

2. Simplify

-20x + (-35) + 8 = 3x

3. Simplify again

-20x - 27 = 3x

4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side

-20x - 27 + 27 = 3x + 27

-20x - 3x = 3x + 27 - 3x

5. Simplify

-23x = 27

6. Divide

-23x / -23 = 27 / -23

7. Simplify

Answer:

Hope this helps!

5 0

2 years ago

A wheel for Lisa's bike has a diameter of 24 inches. What is the circumference, C, in inches? Use 3.14 for π

julsineya [31]

Answer:

75.36 inches

Step-by-step explanation:

C = π·d

C = 3.14(24)

C = 75.36

3 0

2 years ago

What is the value of x to the nearest tenth?

Colt1911 [192]

Answer:

C. 17.6

General Formulas and Concepts:

Math

Rounding

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 21

Step 2: Solve for x

Substitute in variables [tangent]: $\displaystyle tan(40^\circ) = \frac{x}{21}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 21tan(40^\circ) = x$
Rewrite: $\displaystyle x = 21tan(40^\circ)$
Evaluate: $\displaystyle x = 17.6211$
Round: $\displaystyle x \approx 17.6$

6 0

1 year ago

Read 2 more answers

Evaluate the expression 1^4 + 3(10 - 2)^2. Show your work.

andrey2020 [161]

Answer:

193

Step-by-step explanation:

8 0

2 years ago

Dr. Lee is hired as a consultant to design a survey to measure attitudes towards the death penalty. She must develop in the fast

-BARSIC- [3]

Answer:

The answer is Phone Surveys.

Step-by-step explanation:

We can say that there are 4 main types of survey methods and they are "In-Person Surveys", "E-mail Surveys", "Phone Surveys" and "Online Surveys".

In-Person Surveys are out of the question in the situation that is described because we need the fastest possible method.

E-mail Surveys and Online Surveys are at completed at a time that the other party chooses so we have no control over how fast we can get the results.

The fastest and best option we can use for the situation Dr. Lee's in is Phone Surveys because they are direct and give quick results over a short amount of time and they can be scheduled according to our needs.

I hope this answer helps.

3 0

2 years ago