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Sloan [31]
3 years ago
11

Amplitude of h(x)=-4sin(2x-7)+3

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

Use the form asin(bx−c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a=−4

b=2

c=7

d=3

Find the amplitude |a| .

Amplitude: 4

Find the period using the formula 2\pi / |b|.

Find the phase shift using the formula c / b .

Phase Shift: 7/2

List the properties of the trigonometric function.

Amplitude: 4

Period: \pi

Phase Shift: 7/2 (7/2 to the right)

Vertical Shift: 3

Step-by-step explanation:

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You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:

Parallel: x = 2

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In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.

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A clinical psychologist wants to test whether experiencing childhood trauma affects one's self-efficacy in adulthood. He randoml
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Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 152.5

For the alternative hypothesis,

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This is a two tailed test.

Since no population standard deviation is given, the distribution is a student's t.

Since n = 231

Degrees of freedom, df = n - 1 = 231 - 1 = 230

t = (x - µ)/(s/√n)

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s = samples standard deviation = 27.4

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We would determine the p value using the t test calculator. It becomes

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Since alpha, 0.05 > thanthere sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals the p value, 0.047, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals

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How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8
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Answer:

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Step-by-step explanation:

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Plug the first equation into the second.

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