Find a function of the form f(x) = a sin(bx − c) such that the graph of f matches the figure.

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

y = 3sin(2x+pi)

Step-by-step explanation:

We know that a is equal to 3 because the distance from 3 to the midpoint 0 is 3

We also know that is a phase shift of pi/2 as that is where the new start of our sine function lands

We know there is a compression of 2 as our period has changed from 2pi to pi

So naturally we change pi/2 to pi since we put the 2 inside the parenthesis

Best of luck

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A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle

Lorico [155]

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

$\sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.$
$\tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.$

8 0

3 years ago

10 watermelons have an average weight of 4.3 pounds and 5 pumpkins have an average weight of 3.4 pounds. What is the average wei

bagirrra123 [75]

Since the average is the sum divided by the count, the sum is the average times the count.

So the sum of the weights of the watermelons is 10(4.3)=43 pounds.

The sum of the weights of the pumpkins are 5(3.4)=17 pounds

The sum of the weight of the fruits is 43+17=60 pounds

Dividing by 15 fruits gives an average item weight of 60/15 = 4 pounds

6 0

3 years ago

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Please help on this equation: 7s+20=4s-13. and please if you can, show your work. Thank You!

jonny [76]

7s + 20 = 4s -13
7s - 4s = -13 -20
3s = -33
s = -33/3
s = -11

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3 years ago

Identify the slope and y-intercept in the following equation: y = -7x + 2

densk [106]

Answer:

Slope: -7