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VladimirAG [237]
3 years ago
14

Which equation represents the parent function translated to the right 4 units and stretched by a factor of 5?

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. So, I will solve a general solution, instead.

Let (x,y) be the parent function

First transformation: 4 unit right translation

The rule to this is: (x,y) \to (x + b,y)

Where b is the units of translation

i.e. b = 4

So, we have;

(x,y) \to (x + 4,y)

Second transformation: Stretch by a factor of 5

The rule to this is: (x,y) \to (x ,ay)

Where a is the units of translation

i.e. a = 5

So, we have;

(x + 4,y) \to (x+4,5y)

Hence, the transformation from the parent function to the new function is:

(x + 4,y) \to (x+4,5y)

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Valerie is taking a road trip over spring break. At 4:30 p.m. she looks down at her speedometer and notices that she is going 45
hammer [34]

Answer:

b. 4:35 p.m

Step-by-step explanation:

Her speed in t minutes after 4:30 p.m. is modeled by the following equation:

v(t) = v(0) + at

In which v(0) is her speed at 4:30 pm and a is the acceleration.

At 4:30 p.m. she looks down at her speedometer and notices that she is going 45 mph.

This means that v(0) = 45

Ten minutes later she looks down at the speedometer again and notices that she is going 55 mph.

This means that v(10) = 55

So

v(t) = v(0) + at

55 = 45 + 10a

10a = 10

a = 1

So

v(t) = 45 + t

When was she moving exactly 50 mph?

This is t minutes after 4:30 p.m.

t is found when v(t) = 50. So

v(t) = 45 + t

50 = 45 + t

t = 5

5 minutes after 4:30 p.m. is 4:35 p.m.

So the correct answer is:

b. 4:35 p.m

4 0
4 years ago
When Jamel went to the store, he spent $7 on 2.5 pounds of hamburger meat. What are two different ways to express the rate in th
ratelena [41]

Answer:

a) 0.357 pounds of hamburger meat can be purchased by spending 1 dollar

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Step-by-step explanation:

Rate in this case can be defined in two ways

a) The maximum amount of hamburger meat that can be purchased by spending 1 dollar

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b) The maximum cost of 1 pound of hamburger meat

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Thus, 1 pound of hamburger meat costs 2.8 dollars

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Answer:

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Step-by-step explanation:

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Answer:

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