Answer:first inequality x=3
second inequality x=-8
Step-by-step explanation:
Answer:
(4t − 3) (t − 6)
Step-by-step explanation:
Using AC method:
Given a quadratic ax² + bx + c, find factors of ac that add up to b. Divide those factors by a and reduce. The denominators become the coefficients and the numerators become the constants.
Here, a = 4, b = -27, and c = 18.
ac = 4 × 18 = 72
Factors of 72 that add up to -27: -3 and -24
Divide factors by a: -3/4 and -24/4
Reduce: -3/4 and -6/1
So the factored expression is:
(4t − 3) (t − 6)
The last step is wrong since if you divide an inequality by a negative, you must also flip the direction of the inequality sign. To solve correctly:
- 6x + 10 > - 44
- 6x > -54
x < 9
i hope this helps! :D
So in this case expand the brackets where everything outside the brackets are multiplied into the brackets if that makes sense. Therefore 5 times 3m plus 5 time 2.
(5×3m)+(5×2)
=15m+10
do not add them together since they are not like terms
Do the same for the next question
which I think is already done for you since there is no expanding or adding to do.
Hope I am right if not sorry.
First, you need to use the distributive property and distribute the 2 inside the parentheses.
2(x + 1) + 3x = 17
2(x) + 2(1) + 3x = 17
2x + 2 + 3x = 17 -Combine like terms
2x + 3x + 2 = 17
5x + 2 = 17 -Subtract 2 from both sides of the equation.
5x + 2 - 2 = 17 - 2
5x = 15 -Finally, divide each side by 5 to find your answer
5x/5 = 15/5
x = 3
Hope this helps you!