Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
Answer:
x = -16
Step-by-step explanation:
3x-11 = x-75
bring x to other side and simplify
(4x = -64) ÷4
x = -16
The range would be between 2000 and 3000 PSI.
Explanation:
2500 PSI - 500 PSI = 2000 PSI
2500 PSI + 500 PSI = 3000 PSI
Hope this helps :)
Answer:
42 games
Step-by-step explanation:
From the ratio, we can deduce that;
For every 3 games A won, B won 1
Thus, if B won 10, then A has won 3(10) = 30
From the second part;
For every 1 game won by C, B won 5
since B won 10, then C won 10/5 = 2
So the total number of games won is;
A + B + C
= 2 + 30 + 10 = 42 games
Hi!
The answer is : 11% * 94 = 0,11 * 94 = 10,34, so about 10 from 94 are junk
Hope this helps!