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2 years ago

8

Pls help my test is timed!! Which of the following scatterplots would have a trend line with a negative slope?

1 answer:

swat322 years ago

8 0

the first/upper one

the other point cloud is too compact to leave a clear clue about any slope

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A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t

aniked [119]

Answer:

$18.97 \text{ and }12.65\text{ft}$

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of $240$ square feet. The fence along three sides is to be made of material that costs $6$ dollars per foot, and the material for the fourth side costs $12$ dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence $=240\text{ sq. ft}$

let the length of fence $=x$

let the width of fence $=y$

let $x$ be the smaller side

Area of rectangular fence enclosure $=xy$

$xy=240$

$y=\frac{240}{x}$

cost of fence along three sides $=6 \text{ dollars per feet}$

cost of fence along fourth side $=12 \text{ dollars per feet}$

length of fence $=2x+2y$

cost of fence building $=6(2x+y)+12y$

$=12x+18y$

putting value of $y$

$=12x+18\times\frac{240}{x}$

$=12x+4320x^{-1}$

to find minimum value differentiating the equation

$12-\frac{4320}{x^{2} }=0$

$x^{2} =\frac{4320}{12}$

$x^{2} =360$

$x=18.97\text{ft}$

$y=12.65\text{ft}$

Hence the dimensions of the enclosure that is most economical to construct are $18.97\text{ft}$ and $12.65\text{ft}$

8 0

2 years ago

F(x)=x^2+2x-24? How to solve

sineoko [7]

Step-by-step explanation:

F ( x ) = x² + 2x - 24

{ factorising by middle term splitting method }

[ 24 = 2 × 2 × 2 × 3 ]

F ( x ) = x² + 6x - 4x - 24

F ( x ) = x ( x + 6 ) -4 ( x + 6 )

F ( x ) = ( x + 6 ) ( x - 4 )

5 0

2 years ago

Roy driving 582 miles to family reunions she will drive 300 miles by herself the first day the second day Roy and her cousin wil

monitta

In the first day she drive by her self 300

The miles remains to the second day

582-300=282

In the second day it will share the driving with her cousin equally

so she will drive 282/2=141 miles and her cousin also 141 miles

7 0

2 years ago

4 bags of cement do 18m^2, how many m^2 can be done with 7 bags

Lorico [155]

36m^2 is the your answer hope it help

8 0

3 years ago

Need help fastttt

Charra [1.4K]

Answe

b i hoped this help :)

Step-by-step explanation:

5 0

2 years ago

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