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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Her current balance aftsr adding 60$ 3 times would be -65
Two equal roots means a discriminant of zero.
(k + 2)x² + 4k = (4k + 2) x
(k + 2)x²- 2 (2k + 1) x + 4k = 0
When we have an even linear term it's easier to generate 1/4 of the usual discrimant,
0 = d/4 = (b/2)^2 - ac = (2k + 1)² - 4k(k+2) = 4k² + 4k + 1 - 4k² - 8k = -4k + 1
4k=1
k=1/4
Answer: k=1/4
Check:
(k + 2)x² + 4k = (4k + 2) x
(9/4)x² - 3x + 1 = 0
9x² - 12x + 4 = 0
(3x - 2)² = 0
A perfect square, two equal roots, good
Hey, so u have to do 1/5 times 3/1 which is 3/5 and she has to read 2/5 more
