Answer:
Step-by-step explanation:
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by
T(x) = 160-0.05x^2
a. [0, 10]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
The average temperature
= (160 + 155)/2 = 157.5
b. [10, 40]
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (80 + 155)/2 = 117.5
c. [0, 40]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (160 + 80)/2 = 120
Answer: D) -5/6 < -3/5 < -4/7 < -4/9
Step-by-step explanation:
Since putting fractions from least to greatest by using negatives the number or fraction has to be closed to 0. -5/6 is the farthest from 0 so it'll be the least -4/9 is closes to 0 so -4/9 is the most.
Answer:
Step-by-step explanation:
Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph
Step-by-step explanation:
Megan expects to save an average of 5 dollars per week from her babysitting earnings.
=> Saving Per week = 5 $
Saving in 0.5 Week = 0.5 * 5 = 2.5 $
hence ordered pair (0.5, 2.5) will fall on the line of graph
Saving in 3 Week = 3 * 5 = 15 $
Hence (3, 18) will not fall on line
Saving in 0 Week = 0.5 * 0 = 0 $
hence ordered pair (0, 0) will fall on the line of graph
Saving in 4.5 Week = 4.5 * 5 = 22.5 $
Hence (4.5, 30) will not fall on line
Answer:
y = 5x - 21
Step-by-step explanation:
Since we already know the slope, all we need to do is plug the values of x and y into the equation.
y = 5x + b
-1 = 5(4) + b
-1 = 20 + b
-21 = b
The equation is y = 5x - 21.
