we are given

we can solve for x
We can isolate x
step-1: Multiply both sides by b/a


step-2:Add 12 both sides


step-3: combine right side

step-4:Divide both sides by 2
..............Answer
Answer:
Step-by-step explanation:
Answer:
g(x) = 2(x - 2)^2 + 2 plot (see attachment)
Step-by-step explanation:
Answer:

Step-by-step explanation:
Using the Pythagorean Theorem, if you take 8 and square it, you get 64.
You then take 5 and square it giving you 25.
add the 64 and 25 to get you 89 = x squared.
Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)
Because 89 is not a perfect square, you can it it as the square root of 89.
Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000