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3 years ago

Determine if the function is one-to-one. (5 points)

Mathematics

1 answer:

photoshop1234 [79]3 years ago

4 0

Answer: NO

Step-by-step explanation:

In order for the function to be one-to-one, it must pass the vertical line test AND the horizontal line test.

The vertical line test is where you draw a vertical line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate x-value.

The horizontal line test is where you draw a horizontal line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate y-value.

The graph provided passes the vertical line test but fails the horizontal line test. One example is that there are two x-intercepts.

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Moe painted the lid of a barrel. The circumference of the lid is 32 pi( pie) inches. Which measurement is closest to the area of

JulijaS [17]

Answer:

Area of lid = 804.35 square inches.

Step-by-step explanation:

Given the following data;

Circumference of lid = 32π inches

To find the area of the lid;

First of all, we would find the radius of the lid (circle).

Circumference of circle = 2πr

Substituting into the formula, we have;

32π = 2πr

Radius, r = 32π/2π

Radius, r = 16 inches.

Now, we can solve for the area of the circle using the formula;

Area of circle = πr²

Area of lid = 3.142*16²

Area of lid = 3.142 * 256

Area of lid = 804.35 square inches.

In terms of pie, area of lid = 256π square inches.

Therefore, the measurement which is closest to the area of the lid in square inches is 804.35 or 256π.

6 0

3 years ago

Answers for the 2 boxes please :)

Ulleksa [173]

Step-by-step explanation:

2x - 3y = 25

+ (5x + 3y = 10)

=> 7x = 35, x = 5.

Therefore 2(5) - 3y = 25, 3y = -15, y = -5.

The solution pair is (5,-5).

3 0

3 years ago

Read 2 more answers

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 hours, while the outlet pipe can empty it

Rashid [163]

Answer:

$time=40/3hours\approx 13.3hours$

Step-by-step explanation:

The rates are additive: you can calculate the inlet rate and the outlet rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

1. Inlet rate:

$1vat/5hours$

2. Outlet rate:

$1vat/8hours$

3. Net rate:

$\text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour$

4. Time to fill the vat

$rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)$

$time=40/3hours\approx 13.3hours$

7 0

3 years ago

Find a positive number x such that the sum of 36x and 1 x is as small as possible.

Mekhanik [1.2K]

The answer is zero, i think

6 0

3 years ago

7(2x-5)=21 What is x?

Over [174]

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7(2x - 5) = 21

Step 2: Solve for x

Distribute 7: 2x - 5 = 3
Isolate x term: 2x = 8
Isolate x: x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 7(2(4) - 5) = 21
Multiply: 7(8 - 5) = 21
Subtract: 7(3) = 21
Multiply: 21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.

6 0

2 years ago