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
#SPJ1
Answer:
4.7
Step-by-step explanation:
The red I think is hinting to the x.
Answer:
8x+6y=48
x+y=7
multiply bottom equation by 6:
8x+6y=48
6x+6y=42
subtract equations:
2x=6
divide 6 by 2:
x=3
therefore:
y=4
Answer:
m > -5
Step-by-step explanation:
Divide your inequality by the coefficient of m, which is -3. Doing that requires you reverse the comparison symbol:
(-3m)/(-3) > (15)/(-3)
m > -5
_____
The comparison symbol is reversed whenever an inequality is multiplie or divided by a negative number. You might be able to see why when you look at the relation between a couple of integers:
-2 < -1
2 > 1 . . . . . . multiply the above by -1
Multiplying by a negative number effectively reflects the comparison across the center of the number line. As we know from looking in a mirror; reflection reverses left and right, so numbers that were farther to the right (more positive) are now farther to the left (more negative).
