I think it is 90mm. Calculate the area as a rectangle and a square, then add.
The mathematical functions (equations) are matched to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:
y = mx ± c.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = keˣ
Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
Read more on graphs here: brainly.com/question/24298987
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-3/(-2/5) = -3 * (5/-2)=15/2=7.5
Yes, the function would be negative
Answer:
Dimensions are 20 X 44 feet
Step-by-step explanation:
First we need to build two equations:
For area X times Y = 880
For Perimeter 2x + 2y = 128
Now we need to solve one so we can substitute it into the other:
2x + 2y = 128 becomes
2x = 128 - 2y and then
x = 64 - y We will substitute this into the are equation
(64 - y)y = 880
64y -
= 880
-
factor out the negative
-(
Factor:
-(y - 20)(y - 44) = 0
y-20 = 0 and y - 44 = 0
y = 20 and y = 44
Plugging these in two both of our formulas works
20 X 44 = 880 for area
2(20) + 2 (44) = 128 for perimeter