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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Answer:
<h3>Daniel is correct</h3>
Step-by-step explanation:
Given the polynomial P(x) = x^2-3x-10
To check that the remainder is zero if divided by x - 5, we will first have to equate x - 5 to zero and get x;
x - 5 = 0
x = 5
Then find P(5)
P(5) = 5^2 - 3(5) - 10
P(5) = 25 - 15 - 10
P(5) = 25-25
P(5) = 0
<em>This shows that x - 5 is a factor of the polynomial since P(5) gave us zero according to the factor theorem</em>
7.5 is the answer for this questio
Hi,
Following the rules of PEMDAS you first subtract in the parentheses.
(5-2)=3
Then multiply the parentheses.
(3)(-6)=-18
Solve the exponent.
-4^2=16
Then you add -18 and 16 to get -2.
So the answer is B.-2.
I hope this helps.
3 rolls of carpet
the square footage of 40ft*60ft=2,400
well then you divide it and you would need 3 rolls because the answer is 2.6 and then you would just round up