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cluponka [151]
2 years ago
6

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).

Mathematics
2 answers:
Natalija [7]2 years ago
5 0

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = \frac{6-3}{4-2} =\frac{3}{2}

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

Anarel [89]2 years ago
3 0

Answer:

The rate of change of a linear function is always the same.

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Slope = rate = (6 - 3)/(4 - 2) = 3/2

Slope of a straight line is constant hence the rate of change is also constant

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<span>-x + 3y=9
to figure out the y-intercept, you must put the equation into y-intercept form first: y = mx + b

</span><span>-x+3y=9
3y = x + 9
y = (x/3) + (9/3)
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3 years ago
How far apart are cities A and B in the new map?
Lubov Fominskaja [6]

Answer:

22.5 miles

Step-by-step explanation:

If 2 inches equal 15 miles then 1 mile equals 7.5 miles. 15/2=7.5

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3 years ago
What single transformation was applied to triangle A to get triangle B? Links will be reported​
Alina [70]

Answer:

Rotation:

Step-by-step explanation:

Translation is usually movements like up, down, left, right.

Dilation is when one shape is bigger/smaller than the other, but still congruent.

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4 0
2 years ago
Solve y=-1/4x+2<br> 2x+8y=-40
PolarNik [594]

Answer:

No solution

Step-by-step explanation:

This is just a simple system of equations.

y=-1/4x+2

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Get the same variables onto their corresponding sides, so it will look like this:

y=-1/4x+2

8y=-2x-40

Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.

8y=-2x+16

8y=-2x+40.

But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.

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Answer:

1250

Step-by-step explanation:

(2.5 • 100) • 5

Parentheses first

250 *5

1250

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3 years ago
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