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JulsSmile [24]
3 years ago
12

PLEASE last one to graduate!!

Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})

Step-by-step explanation:

The graph of the cosine function can be obtained by shifting the sine function to the left by \frac{\pi}{2} units.

The given cosine function is:

y=4\cos(\frac{3}{2}x+\frac{\pi}{6})

When we shift this function to the left by \frac{\pi}{2} units, we obtain a sine function

y=4\sin(\frac{3}{2}x+\frac{\pi}{6}+\frac{\pi}{2})

y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})

These two functions have the same graph

The second option is correct.

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M(-5,9) and N(-2,7)<br> P(-3,-7) and Q(3,-5
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Step-by-step explanation:

The midpoint for two points P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2).

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At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vege
Dennis_Churaev [7]

Answer: 15/32

Step-by-step explanation:

The data that we have is:

5/8 of the vegetable sold where green.

of theses 5/8, 3/4 were string beans.

Then the 3/4 is applied to the 5/8 of green vegetables.

Then the fraction (of the total number of vegetables) that were string beans was:

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3 0
3 years ago
Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.
kumpel [21]

x+y=8 and 25x+10y=170 are the linear equations.

x+y≤8 and 25x+10y≤170 are the inequalities.

Step-by-step explanation:

Given,

Worth of coins = $1.70 = 1.70*100 = 170 cents

Number of coins = 8

1 quarter = 25 cents

1 dime = 10 cents

Let,

x represent the number of quarters

y represent the number of dimes

1. Write an equation to represent the amount of coins Karen has.

x+y = 8

2.Write an equation to represent the value of the coins Karen has.

25x+10y=170

x+y=8 and 25x+10y=170 are the linear equations.

For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,

x+y≤8

25x+10y≤170

x+y≤8 and 25x+10y≤170 are the inequalities.

Keywords: linear equations, addition

Learn more about linear equations at:

  • brainly.com/question/10570041
  • brainly.com/question/10610299

#LearnwithBrainly

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