Answer:
-2
Step-by-step explanation:
= -2
I hope this helps!
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Divide each term by −6 - 6 and simplify. Divide each term in −6y=12−2x - 6 y = 12 - 2 x by −6 - 6 .
Step-by-step explanation:
hope that helps
Answer:
The inequality representation is : x + y ≥ $400
Step-by-step explanation:
- Inequality is the comparison and boundary for two non equal values. So inequality compares the non equal values.
- As the owner wants to make $400 and sets boundary that;
Least amount to make = $400
Highest amount to make= infinite
- This introduces relation in inequality as $400 or greater than $400.
- The money made is counted combine from child tickets and adult tickets. If x is the made made through child tickets and y is from the adult then,
x + y ≥ $400
Answer:
the average rate of change rc is 13 , 12.1 and 12.01 for h=1 , 0.1 and 0.01 respectively
Step-by-step explanation:
for
R(t) = 30*t − 3*t² ; t = 3
the average rate of change of R(t) over the time interval [t, t + h] is
rc= [R(t+h)-R(t)] / [(t+h) -t) = [R(t+h)-R(t)] /h = 1/h * [ 30*(t+h) − 3*(t+h)² - ( 30*t − 3*t² ) ] = (1/h) * ( 30*h - (3*t² + 6*t*h + t²) +3*t² ) = 30 - 6*t + h
then
rc= 30 - 6*t + h
for t=3 and h=1
rc= 30 - 6*3 + 1 = 13
for t=3 and h=0.1
rc= 30 - 6*3 + 0.1 = 12.1
for t=3 and h=0.01
rc= 30 - 6*3 + 0.01 = 12.01
for t=3 and h=0.001
rc= 30 - 6*3 + 0.01 = 12.001
when h goes smaller , the average rate of change gets closer to the instantaneous rate of change of R(t) in t=3 (the derivative of R in t=3) , that is
R'(t)= 30 - 6*t
