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Mamont248 [21]
3 years ago
11

How to find the rate of a Change?

Mathematics
1 answer:
Leviafan [203]3 years ago
7 0
The correct answer is the vertical change<span> divided by the horizontal </span>change<span> between two points on a line. We can </span>find<span> the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.</span>
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If d(x)=9x^2 and g(x)=5x+7 then d(x)-g(x) can be rewritten as
Angelina_Jolie [31]

Answer:

9x^2-5x-7

Step-by-step explanation:

d(x)=9x^2\\g(x)=5x+7\\d(x)-g(x)=\\(9x^2)-(5x+7)=\\9x^2-5x-7

Hope this helps!

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Witch is greater -4 or 8/2
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8/2 is the greater one.


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Determine g(x + a) – g(x) for the following function.<br> g(x) = 5x2 + 2x
dusya [7]

Answer:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

Step-by-step explanation:

We are given the function:

g(x) = 5x^2 + 2x

And we want to determine:

\displaystyle g(x+a) - g(x)

Substitute:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right]    \end{aligned}

And simplify:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\  \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a)     \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}

In conclusion:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

3 0
2 years ago
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