Answer:
linear equation
Step-by-step explanation:
it's the only one that matches the description :)
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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Double the first equation: 4x+14y=-2 and subtract the second: 17y=17, so y=1. 2x=-7y-1=-7-1=-8, so x=-8/2=-4.
The answer is x=-4 and y=1.
Answer:
The probability that all three batteries would fail is given as:
= 0.000125
Step-by-step explanation:
Given that the probability of the new battery failing = 1/20 or 0.05,
Therefore, the probability that all three batteries would fail is given as:
= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing
= P(A)*P(B)*P(C)
= 0.05 * 0.05 * 0.05
= 0.000125
7z + 10 - z = 8z - 2(z - 5)
7z + 10 - z = 8z - 2z + 10
6z + 10 = 6z + 10
6z - 6z = 10 - 10
0 = 0
Therefore, 7z + 10 - z = 8z - 2(z - 5)