Answers:
Length = 13 inches
Width = 11 inches
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Work Shown:
w = width, some positive number
w+2 = length, since it is 2 inches more than the width
P = perimeter of the rectangle
P = 2(width + length)
P = 2(w + w+2)
P = 2(2w+2)
P = 4w+4
We're told that the perimeter is 48 inches. So we'll set the previous result equal to 48 and solve for w.
P = 48
4w+4 = 48
4w = 48-4
4w = 44
w = 44/4
w = 11
The width is 11 inches.
w+2 = 11+2 = 13
The length is 13 inches.
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Checking the answers:
P = 2(L+W)
P = 2(13+11)
P = 2(24)
P = 48
The answers are confirmed.
Answer:
0,4
Step-by-step explanation:
1. 2/5=0,4; 6/15=0,4; 8/20=0,4. It means, the constant of proportionality is 0,4.
2. if the constant value is 0,4, then x:1=0.4 ⇒ x=0,4
Answer:
y = 52500(.91)^x
Step-by-step explanation:
Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.
Answer:
25x+10=47.50
Step-by-step explanation:
x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.
Answer:
<u><em>Observe the attached image</em></u>
Step-by-step explanation:
We have the graph of a line that passes through the points (0,5) and (2, 1).
The equation of the line that passes through these points is found in the following way:
Where
m = slope
So
We must apply to this function the transformation.
We know that a transformation of the form
shifts the graph of the function f(x) h units to the right if , or shifts the function f(x) h units towards the left if .
In this case then the transformation displaces the graph 4 units to the right.
Therefore if f(x) passes through the points (0,5) and (2,1) then passes through the points (4, 5) (6, 1)
And its equation is:
<u><em>Observe the attached image</em></u>