5/9 because you have to add those two together and put that number over the total number of marbles.
Answer:
Step-by-step explanation:
The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.
1. When x=-1, then
f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.
2. When x=1, then
f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.
3. When x=2, then
f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.
Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
What is ?
there isn’t a picture
Answer:
45
Step-by-step explanation:
45 is constant, because no mater how many miles you drive, you will always be charged $45. It stays the same