1. You want to find factors of 4×(-49) that add to 21. Those would be +28 and -7. Replacing the term 21g with the sum 28g -7g, we get an expression that can be factored by grouping.
... (4g² +28g) + (-7g -49)
... = 4g(g +7) -7(g +7) = (4g-7)(g+7)
2. After you factor out 5, you have 5(64y² -16y -15). As in the previous problem, you're looking for factors of 64×(-15) = -960 that sum to -16. There are 14 factor pairs of 960, so it can take a little bit of effort to find the right pair. That pair is -40 and 24. As in the previous problem you replace the term -16y with the sum -40y +24y and factor by grouping.
... = 5(64y² -40y +24y -15) = 5(8y(8y -5) +3(8y -5))
... = 5(8y +3)(8y -5)
3. False. It is perhaps easiest to check this by multiplying out the offered factors. Doing that gives you 36k² -36k +8k -8. The collected k terms add to -28k, not -44k.
Answer:
they are doing a multiples of -8
Answer:
No they are not, they intersect at some point.
Step-by-step explanation:
Answer:
- solution to both: 2, 4
- solution to inequality only: -2, 4.25, 3 1/4
- not a solution: 9 1/2
Step-by-step explanation:
Using x for the variable, the inequality will be ...
9.50 +3.50x ≤ 35
3.50x ≤ 25.50
x ≤ 51/7 ≈ 7.3
Anna cannot buy negative snacks, and she cannot buy fractional snacks. Of the numbers listed, only 2 and 4 are integers between 0 and 7 (inclusive). The values below 7.3 are all solutions to the inequality. The value 9 1/2 is too large to be a solution to the inequality.
Only 2 and 4 are solutions to both the problem and the inequality.
9 1/2 is not a solution.
