A rectangle has width w and its length is 2 units shorter that 3 times the width

1 answer:

8 0

2(3w-2+w)
=2(4w-2)
=8w-4

the formula for solving perimeters is 2(WL). so L=3w-2, because the question said the length is 2 units shorter than 3 times the width, and the width is w. so the final equation is 2(3w-2+w), and then you just have to simplify that

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After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to

gladu [14]

Answer:

y = 4.25x

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

Hence the required equation is y = 4.25x

8 0

2 years ago

If x+3/3 = y+2/ 2 , then x/3 = _____.

iren [92.7K]

the question is not so clear

is it (x+3)/3 or what you have written is correct

Step-by-step explanation:

4 0

2 years ago

Find f(x) and g(x) so the function can be expressed as y = f(g(x)).

DanielleElmas [232]

$\bf \begin{cases}
f(x)=\cfrac{8}{x}+4\\\\
g(x)=x^2
\end{cases}\qquad f(\ g(x)\ )=\cfrac{8}{\underline{g(x)}}+4\implies f(\ g(x)\ )=\cfrac{8}{\underline{x^2}}+4$