Answer:
Step-by-step explanation:
x - 10 = 0
x = 10
f(10) = 2*10² + 5 = 2*100 + 5 = 200 + 5
= 205
Remainder = 205
Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
Lightly draw a vertical line at -3 (x= -3 is the divider) on the left side graph x + 1, on the right side graph 1/2x + 2.
because these equations don't match up at the -3 coordinate, you have to draw an open (not colored in) circle at the beginning at the 1/2x-2 equation
Answer:
No
Step-by-step explanation:
6a + 12 =? 3(3a + 4)
Distribute
6a+12 =? 3*3a + 3*4
6a+12 =? 9a +12
No
The expressions are not equivalent
Answer:
$12 per hour
Step-by-step explanation:
In order to find her hourly rate we have to find the amount of dollars billed per hour. To do this we can use this expression: 
Let's use the points (1, 27) and (2, 39) in the expression:
Now let's simplify the expression:
39 - 27 = 12
2 - 1 = 1
The expression simplifies to 12/1, or 12. This means that Brenda is billed $12 every hour she uses her phone.
I hope this helps :)
