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:
1034$
Step-by-step explanation:
1100/100×6=66$
1100-66=1034$
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
What in mathematics is the congruent?
- It is claimed that two figures are "congruent" if they can be positioned exactly over one another.
- Both the shape and size of the bread slices are same if you lay one slice on top of the other.
- Congruent refers to having precisely the same form and size.
Use the Third Angles Theorem for two figures are congruent.
When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
Learn more about congruent
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Answer:
log(x + 1)inverse function y(x) = e^x + 3 - 4
Answer:
Step-by-step explanation:
4x -39 > -43 8x + 31 < 23
Add 39 to both sides Subtract 31 from both sides
4x -39 + 39 > -43 + 39 8x + 31 - 31 < 23 - 31
Simplify Simplify
4x > -4 8x < -8
Divide both sides by 4 Divide both sides by 8
4x / 4 > -4 / 4 8x / 8 < -8 / 8
Simplify Simplify
x > -1 x < -1
Answer: A
