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Gnesinka [82]
3 years ago
6

A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f

ind the length and the width.
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0
Width = w

Length = 5w

Given,

Perimeter = 276 ft

5w * w = 276

w² = 55.2

--- w = 7.429670248402684 ≈ 7.43 ft

--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft


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For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.
iragen [17]

Answer:

-\frac{7}{3}

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

where

m is the average rate of change

a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

4 0
3 years ago
three times the lesser of two consecutive even integers is 6 less than six times the greatest number. find the integers.
kakasveta [241]

3x-6=6(x+2)   3x-6=6x+12  3x-6x=6+12   -3x=18  X= 18/-3  X= -6  first number . For second number you substitute x+2. -6+2=-4    

3 0
3 years ago
I eat a third of a box of chocolates there are not 16 left how many were in the box at the start?
daser333 [38]
If you ate a third of the box and there ARE 16 left then you started with 48 originally
5 0
3 years ago
Read 2 more answers
1/2 x + 3 = 2/3 x + 1​
Vladimir [108]

Answer:

x = 12

Step-by-step explanation:

4 0
3 years ago
#13 <br><br> Need help on number 13
antoniya [11.8K]

The equation of a line can be written in the form y=mx+b, where m is the slope and b is the y-intercept.


Since you are looking for a line with a slope (m) of -3/4  and a y-intercept (b) of 5... the equation you want is y = -3/4 x + 5

4 0
3 years ago
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