Y = mx + b
y = 3/5(x) + b
-4 = 3/5(2) + b
-4 = -2.4 + b
b = -4 + 2.4
b = -1.6 (-8/5)
y = 3/5x - 8/5.
Let x represent the number of half-gallons purchased by the store. Then x-13 is the number sold, and 2.80x is the store's cost. The revenue is 4.06(x-13) and the difference between that and cost is the profit.
... 4.06(x -13) -2.80x = 63.14
... 1.26x - 52.78 = 63.14 . . . . eliminate parentheses, collect terms
... 1.26x = 115.92 . . . . . . . . . . add 52.78
... x = 115.92/1.26 = 92 . . . . . divide by the coefficient of x
The store purchased 92 half-gallons of milk.
Answer:
f(- 2) = 23
Step-by-step explanation:
substitute x = - 2 into f(x) and evaluate
f(- 2) = 3(- 2)² - (- 2) + 7 = 12 + 4 + 7 = 23
The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.
<u>Answer-</u>
<em>The insect population at the end of week 11 is </em><em>1730</em><em>.</em>
<u>Solution-</u>
A population of insects grows exponentially.
The general form of exponential function is,
Where,
a, b are constants.
Putting the data given in the table, in the the equation in order to get the values of a, b
At (0, 20)
Now the exponential function becomes,
At (1, 30)
Now the equation becomes,
For calculating the number of insects at the end of the 11th week, putting x=11, so
