The best way to solve this is to write it out part by part.
The first part is "the sum of 8 and 3," which is (8+3)
The second part is "...times a number," so we have n(8+3)
Lastly, "...is 23," means n(8+3) = 23, so here's the equation. In order to solve for n, divide both sides by (8+3) so 23/(8+3) which is 23/11. So the "number" is 23/11.
Answer:3/5
Step-by-step explanation:
F(X) = 6
6 = 2(X+6) - 4
10 = 2(X+6)
5 = X+6
X = 5 - 6
X = -1.
Answer:
x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
Step-by-step explanation:
Solve for x:
x - 1 - 2/x = 3 x + 2
Bring x - 1 - 2/x together using the common denominator x:
(x^2 - x - 2)/x = 3 x + 2
Multiply both sides by x:
x^2 - x - 2 = x (3 x + 2)
Expand out terms of the right hand side:
x^2 - x - 2 = 3 x^2 + 2 x
Subtract 3 x^2 + 2 x from both sides:
-2 x^2 - 3 x - 2 = 0
Divide both sides by -2:
x^2 + (3 x)/2 + 1 = 0
Subtract 1 from both sides:
x^2 + (3 x)/2 = -1
Add 9/16 to both sides:
x^2 + (3 x)/2 + 9/16 = -7/16
Write the left hand side as a square:
(x + 3/4)^2 = -7/16
Take the square root of both sides:
x + 3/4 = (i sqrt(7))/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
x = (i sqrt(7))/4 - 3/4 or x + 3/4 = -(i sqrt(7))/4
Subtract 3/4 from both sides:
Answer: x = (i sqrt(7))/4 - 3/4 or x = -(i sqrt(7))/4 - 3/4
Answer:
B is the correct answer.
Step-by-step explanation:
15 times 5 plus 450
= 525
25 times 5 plus 400
= 525
