<span>average rate of change = (f(7) - f(5)) / (x7 - x5)
</span>f(7) = <span>12 (7^3) + 12 = 4128
f(5) = </span>12 (5^3) + 12 = 1512
so
average rate of change = (4128 - 1512)/(7-5)
average rate of change = 2616 / 2
average rate of change = 1308
hope it helps
Answer:
48005 ounces
Step-by-step explanation:
1 pound = 16 ounces
Answer:
Step-by-step explanation:
We want to make equation into slope intercept form.
Like this: y=mx+b
(mx and b are interchangeable)
Step 1) Convert equation
8x-5y=-11
Sub Step a) subtract 8x on both sides
8x-5y=-11 => -5y = -11-8x
-8x -8x
Sub step b) get y alone
-5y/-5 = -11/-5 - 8x/-5
Equation: y = 11/5 + 8x/5
Step 2) Y-intercept
B is the y-intercept.
B = 11/5
y-intercept is (0,11/5)
Step 3) X-intercept
Substitute 0 for y in our equation
0=11/5+8x
Subtract 8x on both sides
-8x = 11/5
Divide by -8 on both sides
x = -11/40
x-intercept is (-11/40,0)
You need 16 tablespoons for 1 cup and 8 tablespoons for a half cup. Therefore you need to have 24 tablespoons of butter to make cake.
Answer:
Step-by-step explanation
Step 1: multiply the coefficient a and the constant c. Given that the general expression of a parabolic equation is ax^2+bx+c
3*5=15
Step 2: examine the coefficient b and try to find 2 numbers which you can multiply to get 15, add or subtract and get - 8
In this Case: - 3*-5=15 and - 3+(-5)= - 8
Step3:
You separate the equation in terms of the two factors you have found
3x^2-3x-5x+5=0
Step 4:Factorise
3x(x-1)-5(x-1)=0
(3x-5)(x-1)=0