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umka2103 [35]
3 years ago
12

Lucy is walking on a hill while playing with a yo-yo. She completes a trick that takes 8 seconds, and over this period of time,

the movement of the yo-yo can be represented by the expression: 1/32(x-4)^2-0.5 , , where "x" represents the number of seconds since she started the trick, and the expression represents the height of the yo-yo in meters, relative to her right hand. Over this period of time, the height of her right hand relative to sea level can be represented by the expression: -1/16(x-7)^2+12 Which of the following expressions best represents the height of the yo-yo relative to sea level over this period? *
1/32(x-11)^2+11.5
1/32(x-4)^2+1/16(x-7)^2-12.5
1/32(x-4)^2-1/16(x-7)^2+11.5
Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0

Answer:

1/32(x-4)^2+1/16(x-7)^2-12.5

Step-by-step explanation:

I just took my integer test LOL.

i aced it

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Please help!!!<br> Composition of functions~
shusha [124]

Answer:

option D

Step-by-step explanation:

First you must find g(n) given that n is -3n:

g(-3n) = -3n - 1

Then plug that in f(n) as the new n:

f(n) 3( -3n - 1) + 5

= -9n -3 + 5

= -9n + 2

So option D

7 0
3 years ago
Write an equation for the line parallel to 5x=7+y and through the point (-1,-3). Graph both lines.
romanna [79]
For lines to be parallel they must have the same slope.  Since our reference line is y=5x-7 the parallel line must have the same slope, in this case 5.

So our parallel line thus far has the form:

y=5x+b, using point (-1,-3) we can find the y-intercept or "b"

-3=5(-1)+b

-3=-5+b

b=2  so the parallel line is:

y=5x+2
8 0
3 years ago
A car bought for $13,000 depreciates at a rate of 15% per year. Use an exponential function to find the value of the car after 5
anygoal [31]

<em>Answer:</em>

<em>$ 11093 </em>

<em>Explanation:</em><em> </em>

<em>Recall that the formula for compound interest is: </em>

<em> </em><em>A = P ( 1 + r/ n ) n ( t )</em><em>  </em>

<em>−−−−−−−−−−−−−−−−−−−−−−  </em>

<em> where: </em>

<em>A </em><em> =  future value </em>

<em>P</em><em>  =  principal (starting) amount </em>

<em>r</em><em>  =  annual interest rate, expressed as a decimal </em>

<em>n</em><em>  =  number of times the interest is compounded in a year </em>

<em>t</em><em>  =  number of years compound interest occurs for </em>

<em> </em>

<em>1 .</em><em> Start by substituting your known values into the formula. Note that the annual interest rate is  − 0.15  since the car depreciates (becomes lower in value) each year. </em>

<em> </em>

<em>A = 25000 ( 1 + − 0.15 1 ) 1 ( 5 )</em><em>  </em>

<em />

<em>2 .</em><em> Solve for  A . </em>

<em> </em>

<em>A = 25000 ( 0.85 ) )5 </em>

<em> A = 11092.63</em><em> </em>

<em> ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ </em>

<em>A ≈ $ 11093 a    </em>

<em>−−−−−−−−−−−−−−−</em>

3 0
3 years ago
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Hi I neeed this answer fast I will not like it with a link thank you
ella [17]
I have a question how do you get to the winch
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3 years ago
What is the slope of the line shown below?
crimeas [40]
(-7,2)(4,6)
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 2) / (4 - (-7) = 4 / (4 + 7) = 4/11
5 0
3 years ago
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