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yKpoI14uk [10]
3 years ago
5

Which of the following functions is represented by the graph below?

Mathematics
1 answer:
Ann [662]3 years ago
6 0

Answer:

A. y = 3 cos (1/2) x.

Step-by-step explanation:

The y-intercept is 3  so it will contain 3 cos x (because  y = cos x passes through (0, 1).

The graph of 3 cos x has been stretched horizontally  by a factor 2 ( 3 cos x would pass through (π/2, 0) whereas the given graph passes through  (π, 0).

So the equation is 3 cos(1/2) x

You might be interested in
James has a recipe that uses 1 1/2 cups of brown and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of sugar.
AURORKA [14]

Answer:

Part A:  James needs 10 1/2 cups of sugar if he uses all 7 cups of flour                        

Part B: James will make 72 muffins if he uses all 7 cups of flour

Step-by-step explanation:

*I had an easier time figuring out part B before I figured out part A

PART B:

If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of  2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72

James will get 72 muffins by using 7 cups of flour.

PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.

Hope this helps!!

7 0
3 years ago
How do I make a formula for a line if they only give me the intercept and the slope
Eddi Din [679]
Well what you want is y = mx + b
m = slope
b = intercept for y
with that just substitute in the slope and the intercept, but leave the x and y as it is. So later on you can put in a x coordinate and get the y coordinate through that, hope this helps!
8 0
3 years ago
Read 2 more answers
Write 175 miles on 5 gallons as a unit rate.
Vanyuwa [196]

Answer:

35 miles per gallon.

Step-by-step explanation:

We need to simplify 175/5 into 35/1 to make it into a unit rate. So, 35 miles per gallon is the answer.

4 0
3 years ago
If f(x) = 5x - 3 and g(x) = 2x + 9, determine<br> f(g(4)
Over [174]

Answer:

82

Step-by-step explanation:

f(x) = 5x - 3

g(x) = 2x + 9

f(g(x)) = 5 (2x + 9) - 3 ..... replace x with g(x)

f(g(4)) = 5 * (2 * 4 + 9) -3 = 85 - 3 = 82

5 0
3 years ago
David brought a variety pack of delicious donuts for his daughters Amy &amp; Anna. Amy ate 2/3 of the pack and Anna devoured 1/4
Naya [18.7K]

Answer:

12

Step-by-step explanation:

Let the total number of donuts in the pack be x.

Amy = 2/3x

Anna = 1/4x

David = 1

x - 2/3x - 1/4x = 1

Find common denominators for 2/3 and 1/4

The common denominator is 12

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

x - 8/12x - 3/12x = 1

x - 11/12x = 1

1/12x = 1

x = 12

You can always check

Amy = 8

Anna = 3

So David must equal to 1

Hope this helps :)

Have an awesome day!

6 0
2 years ago
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