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:
V=5969mm
Step-by-step explanation:
i hope this can help
To find a, take the number and move a decimal place to the right one position.
Original Number : 53,010,000
New Number: 5.3010000
Considering the situation described, the hypothesis tested are given as follows:
- The null hypothesis is
- The alternative hypothesis is
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:
At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:
More can be learned about an hypothesis test at brainly.com/question/26454209
