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BARSIC [14]
3 years ago
8

Which functions have the same rate of change?

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

Option 3

Step-by-step explanation:

All equations are in slope-intercept form. y=mx+b

The 'm' is the slope.

The 'b' is the y-intercept.

The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.

<em>Let's look over the equations:</em>

<h3>Equation A:</h3>

y=0.3x-6

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation B:</h3>

y=3x-8

In this equation, 3 replaces 'm', so the rate of change for this equation is 3.

<h3>Equation C:</h3><h3>y=0.3x+4</h3>

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation D:</h3><h3>y=0.03x+1</h3>

In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.

Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.

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If FE measures 20 centimeters, the approximate area of circle B is what
MAXImum [283]

If FE measures 20 cm, then the area is 314 cm², if BE measure 3.5 cm, then the area is 38.5 cm², if AB measures 11 cm, then the area is 380 cm² and is EF measures 12 cm, then the area is 113 cm².

Area of a circle:

A = π r²

r = 1 /2 of diameter.

FE is the diameter

r = 20 / 2

r = 10 cm

Area of circle using FE:

A =  π ( 10 )² = π × 100 = 314 cm²

BE is a radius:

Area = π × 3.5² = π × 12.25 = 38.465

A = 38.5 cm²

AB is a radius:

Area = π × 11²
A = π × 121

A = 379.94 = 380 cm²

EF is a diameter:

r = 12 / 2 = 6 cm

Area = π × 6²

A = π × 36

A = 113.04 = 113 cm²

Therefore, if FE measures 20 cm, then the area is 314 cm², if BE measure 3.5 cm, then the area is 38.5 cm², if AB measures 11 cm, then the area is 380 cm² and is EF measures 12 cm, then the area is 113 cm².

Learn more about area here:

brainly.com/question/25292087

#SPJ9

Your question was incomplete, Please refer the content below:

1) if FE measures 20 centimeters, the approximate area of circle B is what?

2) if BE measures 3.5 centimeters, the approximate area of circle B is what?

3) if AB measures eleven centimeters, the approximate area of circle B is what

4) If EF measures twelve centimeters, the approximate area of circle B is what?

6 0
1 year ago
Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre
anygoal [31]

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

... = 15x² +7x -4

4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

8 0
3 years ago
What is the distance between the points (-1,4) and (7,4)?
user100 [1]

Answer:

8

Step-by-step explanation:

=(7−(−1))2+(4−4)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(8)2+(0)2‾‾‾‾‾‾‾‾‾‾√

=64+0‾‾‾‾‾‾√

=6‾√4

=8

8 0
3 years ago
How does place value help me divide
Anna71 [15]
Place value helps you divide because it helps you to know where to put the numbers
3 0
3 years ago
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24. Two trapezoids have areas of 432 cm and 48 cm. Find their ratio of similarity
ivann1987 [24]

Answer:

9:1

Step-by-step explanation:

432/48=9

9:1

7 0
2 years ago
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