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solong [7]
3 years ago
6

14) For the situation below determine the independent value, the dependent value, and the constant of proportionality for both r

atios. Confirm your calculations by setting up a proportion with the two ratios and then cross-multiplying.
A cheetah ran 9.6 miles in 8 minutes, and 18 miles in 15 minutes. (Hint: Use the distance formula if needed.)
Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

The independent variable is number of minutes and the dependent variable is number of miles. Constant of proportionality is 1.2 because 9.6/8=1.2 and 18/15=1.2

Step-by-step explanation:

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Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati
Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

7 0
2 years ago
jon used a gift card to pay for an $18 shirt.The remaining balance on the card is $28.write and solve an equation that represent
denis-greek [22]

Take note that they spent $18 afterwards having $28 on the card so they're spending money off the card so...

x-18=28

would be the equation for this and to solve do the following.

First add 18 to both sides making the equation.

x=46

7 0
3 years ago
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Rewrite the equation 2x+8y=16 in slope-intercept form
Shkiper50 [21]
The goal is to solve for y. Start by subtracting 2x from both sides. This gives you 8y=-2x+16. Now just divide both sides by 8, which gives you y=-2/8x+16/8. Finally, simplify this to y=-1/4x+2.
7 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
Nikitich [7]

You are given that all three sides are equal. You also know that all three angles are also equal. Therefore since all three angles are equal and every triangle has 180 degrees, each angle is 180/3 = 60

So

7x - 3 = 60                     Add three to both sides

7x - 3 + 3 = 60 + 3        Combine

7x = 63                          Divide by 7

7x/7 = 63/7

x = 9                              And that's your answer.

3 0
3 years ago
What is 9 29/40 as a decimal
earnstyle [38]

Answer:

The answer is 9.725

Step-by-step explanation:

We have been given the mixed fraction 9\frac{29}{40}

First we will concert this to improper fraction.

\frac{40(9)+29}{40}

= \frac{389}{40}

Now we will divide this using long division or calculator and get the answer  9.725.

5 0
3 years ago
Read 2 more answers
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