Answer:
<h2>
(e³ - 1)/3e²</h2>
Step-by-step explanation:
Given the function y = e^x between the interval x = -2 and x =1, the average rate of change for the function will be the slope of the function expressed as m = Δy/Δx where;
Δy = f(b)-f(a) and Δx = b-a
m = f(b)-f(a)/b-a where a and b is the interval [-2, 1]
m = f(1)-f(-2)/1-(-2)
m = f(1)-f(-2)/3
Given the function f(x) = e^x,
at the end point x = b, f(1) = e^1; f(1) = e
at the end point x = a, f(-2) = e^-2; f(-2) = 1/e²
m = (e - 1/e²)/3
m = [(e³ - 1)/e²]/3
m = (e³ - 1)/e² * 1/3
m = (e³ - 1)/3e²
Hence, the average rate of change for the function at the interval [-2, 1] is (e³ - 1)/3e²
Answer:
C. A = 150
Step-by-step explanation:
A + 3x = 180
A = 9x + 60
9x+60+3x = 180
12x = 120
x = 10
A+3(10) = 180
A +30 = 180
A = 150
Answer:
8
Step-by-step explanation:
Step 1:
0.5x - 3 = 2 - 0.75x Equation
Step 2:
1.25x - 3 = 2 Add 0.75x on both sides
Step 3:
1.25x = 5 Add 3 on both sides
Step 4:
5 ÷ 1.25 Divide
Step 5:
x = 4 Solution to x
Step 6:
2 × 4 Multiply to find answer of 2x
Answer:
2x = 8
Hope This Helps :)
Answer:
75, 77
Step-by-step explanation:
Let the first odd number = 2x -1
Let the second odd number = 2x + 1
2x - 1 + 2x + 1 + 18 = 170 Combine like terms on the left.
4x + 18 = 170 Subtract 18 from both sides.
4x = 170 - 18 Combine like terms on the right
4x = 152 Divide by 4
4x/4 = 152/4
x = 38
2 * 38 - 1 = 75
2 * 38 + 1 = 77
It will be 1 of the 100block
5 of the tens block and 2 single