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topjm [15]
3 years ago
14

The equation shown below represents function f. The graph shown below represents function g. Which of the following statements i

s true?
A. Over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. The y-intercept of function f is the same as the y-intercept of function g.
B. Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is less than the y-intercept of function g.
C. Over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.
D. Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.ñ

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

Option D

Step-by-step explanation:

The graphs of both f and g can be seen in the picture below.

Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. Both functions have the same slope (-2)

The y-intercept of function f is greater than the y-intercept of function g

y intercept of f = 5

y-intercept of g = 4

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kirill [66]

There are 39 purple marbles in the bag

Step-by-step explanation:

The given is:

  • There are 55 purple and green marbles in total in a bage
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We need to find how many purple marbles in the bag

Assume that the number of the purple marbles is P and the number

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∵ There are P purple marbles and G green marbles in the bag

∵ There are 55 marbles in the bag

∴ P + G = 55 ⇒ (1)

∵ The number of purple marbles is 7 more than 2 times the number

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- Add 7 and 2 times G to get P

∴ P = 7 + 2 G

- Subtract 2 G from both sides

∴ P - 2 G = 7 ⇒ (2)

Let us solve the system of equations to find P

Multiply equation (1) by 2 to eliminate G

∵ 2 P + 2 G = 110 ⇒ (3)

- Add equations (2) and (3)

∴ 3 P = 117

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∴ P = 39

∵ P represents the number of the purple marbles in the bag

∴ There are 39 purple marbles in the bag

There are 39 purple marbles in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

7 0
4 years ago
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Step-by-step explanation:

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