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nadya68 [22]
3 years ago
10

Use the graph below for this question:

Mathematics
1 answer:
Fed [463]3 years ago
5 0

The average rate of change is the same as the slope. Even though this graph is a parabola, we still use the slope formula with the corresponding points. Had the question asked for the instantaneous rate of change, we would have needed to find a derivative.

Slope formula: (y2 - y1) / (x2 - x1)

Point 1: (0,4)

Point 2: (2,8)

(8 - 4) / (2 - 0)

4 / 2

2

The average rate of change from x = 0 to x = 2 is 2.

Hope this helps!

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Find a geometric power series for the function, centered at 0, by the following methods. f(x) = 7/8 + x by the technique shown i
castortr0y [4]

Answer:

f(x) = 7/8 + n=0 = 7/8 so the answer you looking for would be: n=0

8 0
3 years ago
There is a total of 63 bikes if the ratio of blue to black bikes is 4 to 5 how many are blue
DedPeter [7]
<span>Since the given ratio is blue:black is 4:5
4+5=9

4/9= 0.44 ~ 44%
5/9= 0.56 ~ 56%

Since there are a total of 63 bikes and 44% of these bikes are blue we just multiply 44% with the total number of bikes.

Solution:
1. 0.44 x 63 = 28
2. 0.56 x 63 = 35

Conclusively, there are 28 bikes that are colored blue.</span>
4 0
3 years ago
Given the term 3x², select ALL of the like terms listed below. Question 3 options: A.-2x²
atroni [7]

Answer:

A.-2x^2

D.5x^2

E.x^2

Step-by-step explanation:

Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is 3x^2, the like terms will be those that contain x^2, regardless of whether their coefficient or sign is different.

Analyzing the options:

A.-2x^2

We have the same variable and the same exponent x^2, so it is a like term.

B. 3x

You have the same variable x but not the same exponent. So it's not a like term of 3x^2

C.3x^3

Same variable x but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.

D.5x^2

In this option we do have the x^2, so it is a like term of  3x^2

E.x^2

It is also a like term because it contains the x^2.

In summary the like terms are:

A.-2x^2

D.5x^2

E.x^2

7 0
3 years ago
 Can someone solve then explain the process of solving this?
lorasvet [3.4K]

Answer:

58°

Step-by-step explanation:

<h3>Angle sum property of triangle:</h3>

  The sum of all angles of a triangle is 180°.

 x + 69 + 55 + x + 78 = 180

  x + x + 69 + 55 + 78 = 180

Combine like terms,

                   2x + 202 = 180

Subtract 202 from both sides,

                              2x = 180 - 202

                              2x = -22

Divide both sides by 2,

                                 x = -22/2

                                 x = -11

∠A = x + 69

     = -11 + 69

 \sf \boxed{\angle A= 58^\circ}

7 0
2 years ago
You pick a card at random. 6 7 8 9 What is P(not 9)? Write your answer as a percentage. %
Harman [31]

Answer:

75%

Step-by-step explanation:

You pick a card at random. 6 7 8 9 What is P(not 9)? Write your answer as a percentage. %

Given the following

Total cards = 4 (6,7,8,9)

If the card is not 9, the required card will be (6,7,8)

Number of cards that are not 9 is 3

Probability = expected/total

Pr(not 9) = 3/4

express as percent

Pr(not 9) = 3/4×100

Pr(not 9) = 75%

4 0
3 years ago
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