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erik [133]
3 years ago
15

50 POINTS!!!!!!

Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Answer: The transformation <u>sin(x)-7</u> results in a vertical shift down.

The transformation <u>sin(x+7)</u> results in a horizontal shift left.

The transformation <u>sin(x)+7</u> results in a vertical shift up.

The transformation <u>sin(x-7)</u> results in a horizontal shift right.

Step-by-step explanation:

Transformation:

If f(x) is a function then

f(x)+k is a vertical shift k units upwards.

f(x)-k is vertical shift k units downwards.

f(x-h) is horizontal shift h units rightwards.

f(x+h) is horizontal shift h units leftwards.

So,

The transformation <u>sin(x)-7</u> results in a vertical shift down.

The transformation <u>sin(x+7)</u> results in a horizontal shift left.

The transformation <u>sin(x)+7</u> results in a vertical shift up.

The transformation <u>sin(x-7)</u> results in a horizontal shift right.

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Mia and Luke made 85 origami together. Mia made 4 pieces of origami every 3 minutes. Luke made 3 pieces of origami every 4 minut
julia-pushkina [17]
For ease of solving, let's first find the rate of Mia and Luke per minute. Since Mia can do 4 pieces every 3 minutes, then she can do \frac{4}{3} of a piece per minute. Luke on the other hand can do \frac{3}{4} of a piece per minute.

To find how many pieces they made, we first need to find the time it took for them to make the pieces. We assign t as the time Mia spent making origami. Since Luke spent 5 more minutes, we can denote his time as t+5.

Putting this into an equation we'll get:
\frac{4}{3}t+ \frac{3}{4}(t+5)=85
\frac{4}{3}t+ \frac{3}{4}t+\frac{15}{4}=85
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t=39

Therefore, Mia made pieces of origami for 39 minutes. Knowing this, we can find out the number of pieces of origami she made:
39* \frac{4}{3} =52

ANSWER: Mia made 52 pieces of origami.
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