Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
Hello!
Answer:
1) 7k+35
2) 9n−36
3) 4x+22
Step-by-step explanation:
1) 7(k+5)
1) 7k+7×5
1) 7k+35
2) 9(n-4)
2) 9n+9×−4
2) 9n−36
3) 4(x+5)+2
3) 4x+20+2
3) 4x+(20+2)
3) 4x+22
Hope this helps!
C. \: x = 2 \: or \: x = 3
Step-by-step explanation:
let number be x
3(4+x)=2x
12 + 3x = 2x
12 = 2x - 3x
12 = -x
x= -12
9514 1404 393
Answer:
$67,200
Step-by-step explanation:
The amount if interest is given by the formula ...
I = Prt
where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.
P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025
P = $67,200
The amount invested was $67,200.
