Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
Answer:
7 weeks
Step-by-step explanation:
130-4 = 126
126÷18=7
Answer:
x = 75 and y = -72
Step-by-step explanation:
It is given that,
1/5 x + 1/8 y = 1 ------(1)
1/2 x − 1/3 y = 1 -------(2)
<u>To find the solutions of the system of equations</u>
Step 1: eq(1) * 5 ⇒
x + 5/8y = 5 ----(3)
Step 2: eq(2) * 2 ⇒
x - 2/3y = 2 -----(4)
Step 3: eq(3) - eq(4) ⇒
x + 5/8y = 5 ----(3)
<u>x - 2/3y = 2 -</u>----(4)
0 +(5/8 - 2/3)y = 3
-1/24 y = 3
y = -24*3 = -72
Step 4: Substitute the value of y in eq(1)
1/5 x + 1/8 y = 1 ------(1)
1/5 x + 1/8 (-72) = 1 ------(1)
1/5 x - 24 = 1
1/5 x = 25
x = 5*25 = 75
Therefor x = 75 and y = -72
Perimeter: P = 2L + 2W. In this problem L = W + 4 or W = L - 4. We want L, so let's eliminate W:
P = 2L + 2(L - 4) = 20 (all measurements in feet)
Simplifying,
2L + 2L - 8 = 20, or 4L = 28 ft. Thus, L = 7 ft.
The rectangle is 7 ft long.
