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ziro4ka [17]
3 years ago
11

What is the period of the graph y=1/2sin (pix)+3? A- 3 B- 1/2 C-pi D-2

Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

The period is 2.

Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi.  So 2pi·1/pi = 2

The "1/2" and "+3" do not impact the period.  Those just impact the amplitude (vertical aspect) of the graph.

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Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each
emmasim [6.3K]

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = \frac{4}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 4}{-5 -(-8)}

slope = \frac{8 - 4}{-5 + 8}

slope = \frac{4}{3}

9. Line 3 = \frac{4}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 4}{-2 -(-5)}

slope = \frac{8 - 4}{-2 + 5}

slope = \frac{4}{3}

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = \frac{7}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 1}{5 - 2}

slope = \frac{7}{3}

12. Line 6 = -\frac{7}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 1}{5 - 8}

slope = \frac{7}{-3}

slope = -\frac{7}{3}

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

5 0
3 years ago
What value of M gives the system infinitely many solutions? -x+2y=16<br> Y=mx+8
Naya [18.7K]
First you move. -x for +x
2y = 16 + x
y = 8 + 1/2 x

the answer is

y = 1/2x + 8
4 0
3 years ago
It's candy time! Suppose 5 friends go out candy collecting. Starting out, Ms. Gleason gave each of them 12 pieces of candy. Then
sdas [7]

Answer:

6 hours

Step-by-step explanation:

First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.

You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.

You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours

8 0
2 years ago
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A department store is having a sale of 20% off of all kitchen appliances. What is the sale price for a $250 microwave?
IgorC [24]

Answer:

200

Step-by-step explanation:

The price is 100%-20%=80% of the original.

So, 250*0.8 = 200

3 0
3 years ago
Is 3/5 greater than 1/5
polet [3.4K]
Yes it is, since 1/5 + 1/5 + 1/5 = 3/5. If a pizza has 5 slices and you take three, that is more than just taking one.
4 0
3 years ago
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