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SashulF [63]
2 years ago
11

The table shows the distance a cyclist rides her bicycle over time. Is the rate of change in distance with respect to time const

ant? What does the rate of change represent?
Bike Riding Distance

Time
(minutes) Distance
Traveled (ft)
1 1120
2 2240
3 3360
4 4480
A. The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
B. The rate of change is constant and represents a speed of 3360 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
C. The rate of change is constant and represents a speed of 2240 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
D. The rate of change is constant and represents a speed of 4480 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Mathematics
1 answer:
Vinil7 [7]2 years ago
4 0

From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

<h3>What is a linear equation?</h3>

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the distance travelled by the bike after x minutes.

From the table:

Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min

The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

Find out more on linear equation at: brainly.com/question/14323743

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Nutka1998 [239]

Answer: x=-10, y=13

Step-by-step explanation:

-3x+2y=56\\-5x-2y=24

+2y-2y = 0, eliminating y is much easier. So -3x-5x = -8x and 56+24 = 80

-8x=80\\x=-10

Substitute x in any equations but only 1 equation (Don't substitute in both equations.)

For me, I'd substitute x in -3x+2y=50

-3(-10)+2y=56\\30+2y=56\\2y=56-30\\2y=26\\y=13

So the answer is x = -10, y = 13

5 0
3 years ago
The value of x is . I cant find any answers on this
GenaCL600 [577]
The angle that is next to 9x should be 180 - 9x because it is a straight angle.

Since there are 180 degrees in an angle we can add up the values to 180 and solve for x.

180- 9x + 5x + 9 + x = 180
-3x = -9
x = 3

Hope this helped!
5 0
3 years ago
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Special right triangles 45-45-90 &amp; 30-60-90 formula!!<br> finding missing side lengths
nordsb [41]

The formula you need to know is that the side opposite of the 30° angle is always half the hypotheneus. For example in question 2 X should be 6 since 3 is opposite side of the angle 30°. In a 45 45 90 triangle, it is important to know that the straight sides are always the same length (since they are the same angle). For example in question 9, v is also 9√2.

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3 years ago
Two families leave Raleigh to go to Disney. The tables below show the distance each family drove at a constant speed. what famil
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Step-by-step explanation:

The Baker family is going 88 miles Per hour.

The Kim family is going 55 miles Per hour.

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3 years ago
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For the following exercises, solve each inequality and write the solution in interval notation.
WARRIOR [948]

Answer:

The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12

Step-by-step explanation:

An absolute value inequality |x-2|>10 is given.

It is required to solve the inequality and write the solution in interval form.

To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.

Step 1 of 2

The given absolute value inequality is $|x-2|>10$.

The inequality can be written as

x-2<10 and x-2>-10

First solve the inequality, x-2<10.

Add 2 on both sides,

x-2<10

x-2+2<10+2

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Step 2 of 2

Solve the inequality x-2>-10.

Add 2 on both sides,

x-2>-10

x-2+2>-10+2

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The solution of the inequality in interval notation is given by -8<x<12.

7 0
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