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zloy xaker [14]
2 years ago
11

Help me out plesseee!!

Mathematics
1 answer:
nasty-shy [4]2 years ago
3 0

Step-by-step explanation:

the rate of change is officially

(f(x2) - f(x1)) / (x2 - x1)

but for a line function (as we have here) this is totally easy : it is the slope of the line.

and that means it is the factor of x.

in our case this is -3/2.

because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.

You might be interested in
A landscape architect plans to enclose a 3000 square feet rectangular region in a botanical garden. She will use shrubs costing
Ainat [17]

Answer:

20L + 15L + 15(2W) = Cost = C

LW = 3000

W=3000/L

35L + 30(3,000/L) = C

C(L) = 35L + 90,000L^-1

take the derivative of C(L) and set equal to zero, solve for L

C' = 35 - 90000L^-2 = 0

35=90,000/L^2

L^2 = 90,000/35

L= 300/sqr35 = 300sqr35/35= about 50.71 feet of fencing one 1 side and of shrubs on the opposite side

W =3000/300/sqr35 = 10sqr35=59.16 feet of shrubs on 2 sides

W=59.2

L=50.7

WL = square feet

but rounding to one decimal gives WL=3001 square feet

at cost of 30(59.2) + 15(50.7) + 20(50.7)

= 1776 + 1774.5 = $3550.50

but 30(60)+35(50)=1800+1750= $3550.00, 50 cents less

and 60x50=3000 square feet

30(59.16)+35(50.71) = 1774.8 + 1774.85 = $3549.65 the minimum cost with 59.16 by 50.71 feet

rounding errors make a few cents difference

more exact dimensions are 59.16079783 by 50.70925528 feet for minimum cost

for calculus on the absolute minimum, take the 2nd derivative

or look at the end points

60x50 feet is virtually the cost minimizing dimensions.

look at some other simple numbers on either side and you'll find higher cost.  It's

a local minimum, but the endpoints show it's also an absolute minimum

Step-by-step explanation:

6 0
3 years ago
In the following figure the value of x is
soldi70 [24.7K]
Uhh 125 ? im not sure sorry
7 0
2 years ago
Read 2 more answers
How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.
zhenek [66]

Answer:

Step-by-step explanation:

1/5 + 1/5 = 2/5

1/7 + 1/7 = 2/7

1/3 + 1/3 = 2/3

There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime  to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example

1/9 + 1/9 = 2/9

I don't think you can pick an even denominator because it will reduce when put with two.  Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.

What about an odd and even denominator?

1/9 + 1/18 = 3/18 = 1/6  There must be something that works, but I can't come up with an example.

4 0
3 years ago
Jenny is diving into a swimming pool from a diving board. The expression below represents Jenny's vertical height x, in feet, ab
fredd [130]

Answer:

A

Step-by-step explanation:

The projectile motion of Jenny's dive can be represented by -at^2 + v_0t + h_0 where a is acceleration, v_0 is velocity, t is time, and h_0 is initial height.

Jenny's vertical height above the water is represented by -16x^2+12x+10. 10 is h_0 and is Jenny's initial height.

4 0
3 years ago
Machine A and machine B both make car parts.
Vadim26 [7]

Answer:

Machine A=504 parts in 12h

Machine B=564 parts in 10 h

Step-by-step explanation:

please find the attached picture for steps

6 0
3 years ago
Read 2 more answers
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