Answer:
Equation of line best fits the scatter plot is y =
Step-by-step explanation:
Let the equation of line be y = mx + c
where m = slope of line and c is the intercept on y -axis
from the graph intercept on y-axis is 108
and the slope of line is given by m =
where (
) and (
) is the points on line
let, points be (4,96) and (18,36)
on calculating this m =
= 
Therefore equation of line best fits the scatter plot is y =
V ,= 4/3 πr³
solve for r
3V/4=r³
so r is the cubed root of 3V/4
Answer:
- 75 and - 28
Step-by-step explanation:
To evaluate f(6) substitute x = 6 into f(x)
f(6) = - 2(6)² - 3 = - 2(36) - 3 = - 72 - 3 = - 75
Similarly
g(5) = - 5(5) - 3 = - 25 - 3 = - 28
Answer:
Step-by-step explanRemember: logax=b⇒ab=x
in which "a" is the base of the log.
log4 (1/16) = 4^-2 = 1/4^2 = 1/16
4 to the power of -2 is equal to 1/16.
To answer this question, the equation in exponential form of "log4 (1/16) = -2" is " 4^-2 " (4 to the power of -2). :D
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Answer:
Roy is 6 years old and Aaron is 1 year old.
Step-by-step explanation:
A is Aaron's age,
R is roy's age,
A = R - 5
R + 4 = 2(A+4)
We can distribute first,
R + 4 = 2A + 8
Subtract 4 from each side,
R = 2A + 4
Since A = R - 5, you can substitute in R - 5 for A in the equation,
R = 2(R-5) + 4
Distribute,
R = 2R - 10 + 4
Since - 10 + 4 = -6, we can do this,
R = 2R - 6
Subtract R from both sides,
0 = R - 6
Add 6 to both sides and you have part of your answer;
R = 6
Since A = R - 5,
A = 6 - 5
A = 1, so Aaron's age is 1.