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2 years ago

Find the sine function that is represented in the graph.

Mathematics

1 answer:

meriva2 years ago

6 0

Answer:

Choice D). $f(x)=20\sin(4x)$ is correct.

Step-by-step explanation:

Given function graph is sinusoidal so let's compare with formula $f(x)=A\sin(Bx-C)+D$

We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20

So amplitude A=20

In that formula, period is given by $\frac{2\pi}{B}$

From graph we see that period is $\frac{\pi}{2}$

So both must be equal

$\frac{2\pi}{B}=\frac{\pi}{2}$

$\frac{2}{B}=\frac{1}{2}$

cross multiplying them gives

B=4

Clearly there is no shift so C and D are 0

Now plug these values into formula $f(x)=A\sin(Bx-C)+D$

$f(x)=20\sin(4x-0)+0$

$f(x)=20\sin(4x)$

Hence choice D is correct.

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The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below. On a coordinate plane, a function is shown. The function starts from the

iris [78.8K]

Answer:

Step-by-step explanation:

f(x) = 4x^3 – 13x^2 + 9x + 2

This looks complicated but all we need to find are the Roots

We are looking for when y=0

So given each part of the information, we can label how many times it happens

The function starts from the bottom of quadrant 3: Starts lower left

and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT

and then through the y-axis at (0, 2). : It's now on the 2nd quartile

It then starts to curve down at (0.5, 4): It's moving towards y=0

until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS

It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS

This polynomial function has 3 ROOTS

6 0

2 years ago

Aron has a bag of marbles that contains three red (R) marbles, four green (G) marbles, and three blue (B) marbles. 3 red marbles

jeyben [28]

Answer:

3/25

Step-by-step explanation:

3 red marbles, 4 green marbles, and 3 blue marbles = 10 marbles

P(green) = number of green / total = 4/10 = 2/5

We replace it

3 red marbles, 4 green marbles, and 3 blue marbles = 10 marbles

P(red) = number of red / total = 3/10

P(green, replace,red) =2/5*3/10 = 3/25

4 0

2 years ago

How much would it cost to buy 100 shares in ODX group Inc and 300 shares

insens350 [35]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The cost to buy 100 shares in ODX group Inc and 300 shares peer Comms Lts is

$C = \$ 775$

Step-by-step explanation:

From the chat we that the cost of 100 ODX shares is $\$175$

The cost of 100 peer Comms Lts is $\$ 200$

Hence the cost 300 peer Comms Lts is $k = 3 * 200 = \$ 600$

Now the cost of 100 shares in ODX group Inc and 300 shares of peer Comms Lts is mathematically evaluated as

$C = 175 + 600$

$C = \$ 775$

7 0

2 years ago

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are re

Ipatiy [6.2K]

Answer:

a) 0.88

b) 0.35

c) 0.0144

d) 0.2084

e) 0.7916

Step-by-step explanation:

a) The probability of a peanut being brown is 12/100 = 0.12. Hence the probability of it not being brown is 1-0.12 = 0.88

b) 12% of peanuts are brown, 23% are blue. So 35% are either blue or brown. The probability of a peanut being blue or brown is, therefore 35/100 = 0.35.

c) 12% of peanuts are red, so the probability of a peanut being red is 12/100 = 0.12. In order to calculate the probability of 2 peanuts being both red, we can assume that the proportion doesnt change dramatically after removing one peanut (because the number of peanuts is absurdly high. We can assume that we are replenishing the peanuts). To calculate the probability of 2 peanuts being both red, we need to power 0.12 by 2, hence the probability is 0.12² = 0.0144.

d) Again, we will assume that the probability doesnt change, because we replenish. The probability of a peanut being blue is 0.23. The probability of it not being blue is 0.77, so the probability of 6 peanuts not being blue is obtained from powering 0.77 by 6, hence it is 0.77⁶ = 0.2084

e) The event 'at least one peanut is blue' is te complementary event of 'none peanuts are blue', so the probability of this event is 1- 0.2084 = 0.7916

4 0

2 years ago

A heated piece of metal cools according to the function c(x) = (.5)x − 7, where x is measured in hours. A device is added that a

Mama L [17]

Answer:

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

Given : A heated piece of metal cools according to the function $c(x)=(0.5)^{x-7}$ , where x is measured in hours and then a cooling device id added that aids in cooling according to the function $h(x)=-x-2$