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ElenaW [278]
2 years ago
5

the functions below show the amount of money bella and sweet t had saved after earning money for doing chores

Mathematics
1 answer:
Daniel [21]2 years ago
4 0

Answer:

Hello your answer should be: Bella saved more per chore than Sweet T.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

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(x,y)=(309/7,-317/14) If you ever get stuck on similar problems I recommend using the photomath app.

Step-by-step explanation:

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Rayhana has a coupon for 15% off a single item at a store. If the item has a regular price of p dollars, then the sale price can
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Answer: D.

Step-by-step explanation:

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2 years ago
A scientist had a bottle that contains 56.6 ML of a solution. she used 3.2 ML of the solution for an experiment then she poured
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1. 56.6 - 3.2 = 53.4
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3 years ago
What is the equation of the line (in slope-intercept form) that passes through the point (5,−1) and is parallel to the line y=2x
tatyana61 [14]

Answer:

<h2>y = 2x - 11</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================

\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11

5 0
3 years ago
Help me do this …math
Daniel [21]

Step-by-step explanation:

How to find inverse function:

Step 1: Write down equation.

f(x) = 4 \sin(x)  + 3

Remeber Ruler notation that

f(x)=y so we replace y with f(x).

y = 4 \sin(x)  + 3

Next, we must isolate x so first we subtract 3.

y - 3 = 4 \sin(x)

Divide both sides by 4.

\frac{y - 3}{4}  =  \sin(x)

\sin {}^{ - 1} ( \frac{y - 3}{4} )  =  \sin {}^{ - 1} ( \sin(x) )

Remeber that sin^-1x and sin x are inverse functions so they will cancel out to x. So we get

\sin {}^{ - 1} ( \frac{y - 3}{4} )  = x

Swap x and y. So our inverse function is

\sin {}^{ - 1} ( \frac{x - 3}{4} )  = y

If you want another proof: Here's one,

Let plug an a x value for the orginal equation,

4 sin x+3. Let say that

x =  \frac{\pi}{2}

We then would get

4 \sin( \frac{\pi}{2 } )  + 3 = 4 \times (1) + 3 = 4 + 3 = 7

So when x=pi/2, y=7.

By definition of a inverse function, if we let 7 be our input, we should get pi/2. as a output.

So let see.

\sin {}^{ - 1} ( \frac{7 - 3}{4} )  =  \sin {}^{ - 1} ( \frac{4}{4} )  =  \sin {}^{ - 1} (1)  =  \frac{\pi}{2}

So this is the inverse function of 4 sin x+3.

1b. The range of f(x) is [-1,7).

We can use transformations to describe range.

We have

f(x) = 4 \sin(x)  + 3

Parent function is

\sin(x)

with a range of [-1,1].

We then vertical stretch by 4 so we get

4 \sin(x)

and our range will be

[-4,4].

Then we add a vertical shift of 3.

4 \sin(x)  + 3

So our range of 4 sin x+3.

[-1,7].

1c. Domain of a inverse function is the range of the orginal function.

The range of f(x) is [-1,7) so the domain of f^-1(x) is [-1,7].

f(x) domain was restricted to -pi/2 to pi/2 so the range of f^-1(x) is [-pi/2, pi/2]

6 0
2 years ago
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