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2 years ago

What is the period of the graph of y = 5cos(6x – 1) + 3? O A.

Mathematics

1 answer:

evablogger [386]2 years ago

5 0

Step-by-step explanation:

The coefficent of the x variable is b.

The formula for the period is

$\frac{2\pi}{ |b| }$

Here, b is 6 so we have

$\frac{2\pi}{ |6| } = \frac{\pi}{3}$

So the period is pi/3, or 60 degrees

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Damm [24]

Answer:

1) B. on, 2) D. 19.2, 3) C. 0

Step-by-step explanation:

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2) The value of y according to the regression line is 19.2.

3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.

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Answer:

Step-by-step explanation:

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$\text{We have the equation of a line in the standard form:}\ Ax+By=C.\\\\\text{Convert to the slope-intercept form:}\\\\4y-2x=12\qquad\text{add}\ 2x\ \text{to the both sides}\\\\4y-2x+2x=2x+12\\\\4y=2x+12\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{2x}{4}+\dfrac{12}{4}\\\\y=\dfrac{1}{2}x+3\to\boxed{m_1=\dfrac{1}{2}}$

$\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{Put the value of the slope and the coordinates of the given point (-1, 4)}\\\text{to the equation of a line:}\\\\4=-2(-1)+b\\\\4=2+b\qquad\text{subtract 2 from the both sides}\\\\4-2=2-2+b\\\\2=b\to b=2\\\\\bold{FINALLY:}\ y=-2x+2$

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