So the x intercepts are going to be at the places where y = 0 so you can just read that off and get (-2,0) and (3,0). Hope this helps :)
Answer:
(5a - [2b - 7c]) and (5a + [2b + 7c])
Step-by-step explanation:
Factor 25a^2 - 4b^2 + 28bc - 49c^2.
Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable. Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:
- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or
-(2b - 7c)^2.
Thus, the original 25a^2 - 4b^2 + 28bc - 49c^2 looks like:
[5a]^2 - [2b - 7c]^2
Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b). Applying this pattern to the problem at hand, we conclude:
Thus, [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])
Answer:
She earned $288 this week
Step-by-step explanation:
x = 12
Work = 2(12) + 8
24 + 8 = 32 hours
Earned = (12) - 3 = 9 per hour
32 × 9 = $288
I hope this helps!
Answer:
6 apples, 21 apples, 30 apples respectively
Step-by-step explanation:
Let us first start by writing <u>expressions</u> so that we can easily solve for the problems below.
Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.
1. If Alice has 2 apples (x), then Claire has 3x
3*2=<u>6 apples</u>
Claire has 6 apples.
2. If Alice has 7 apples (x), then Claire has 3x
3*7=<u>21 apples</u>
Claire has 21 apples.
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3. If Alice has 10 apples (x), then Claire has 3x
3*10=<u>30 apples</u>
Claire has 30 apples.
<em>I hope this helps! Please let me know if you have any further questions :)</em>