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Inga [223]
3 years ago
8

List the following in order from least steep to most steep.

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

  • h(x), f(x), j(x), g(x)

Step-by-step explanation:

<u>Given functions</u>

  • f(x)= -3/4x
  • g(x)= -5x
  • h(x)= 5/7x
  • j(x)= 11/3x

To compare steepness we'll compare absolute values of slopes

The steepness increases as the slope increases

<u>The slopes are </u>

  • 3/4, 5, 5/7, 11/3

<u>Comparing the fractions</u>

  • 3/4 = 21/28, 5/7 = 20/28, so 3/4 > 5/7

And

  • 11/3 < 4  

<u>So the order is </u>

  • 5/7 < 3/4 < 11/3 < 5

<u>As functions, the order is</u>

  • h(x), f(x), j(x), g(x)
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Let H = Hailey's age and M = Maverick

Hailey is 3 times as old as Maverick: H = 3M

The sum of their ages is 48 years: H + M = 48

Since H = 3M, substitute 3M in place of H in the second equation:

H + M = 48

3M + M = 48

4M = 48

M = 12

Maverick is 12 years old. Hailey = 3M = 3(12) = 36 years old.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.
Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}

where c is the proportionality constant

\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}

Hence, x value is 12 when y value is 9

3 0
3 years ago
If A = -3n + 2, and B = 5n - 7, what is the value of A + B, in simplest form?
Sever21 [200]

Answer:

I think the answer is 2n-5

(-3n + 2)+(5n - 7)

-3n+5n=2n

2+(-7)=-5

4 0
2 years ago
Cai is buying a fruit smoothie from the grocery store and wants the best deal, order the prices from the best to worst deal. (in
snow_tiger [21]

Answer:

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Step-by-step explanation:

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#2 =0.161 -Smooth and Tasty

#3 =0.164 -True Smooth

To get my answer, I divided the price by the number of ounces for each smoothie. This would give you the price of each ounce.

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3 years ago
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