Answer:
x = 1
Step-by-step explanation:
2x + 5 = 10 - 3x
2x + 3x = 10 - 5
5x = 5
x = 1
Answer:
Given the domain, the range for 3x-y = 3 is {-9, 6, 9}
Step-by-step explanation:
First you have to put the relation in terms of y ⇒ 3x - y = 3⇒ 3x -3 = y
⇒ y = 3x - 3.
Then you replace the values indicated by the domain to find their "y" values (the ones that constitute the range).
f(-2) = -9
f(2) = 6
f(4) = 9.
Finally, the range for the given domain is {-9, 6, 9}
Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that
because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:

Then to get the incomes:
At 7%: 
And at 5%: 
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000
Answer:
Step-by-step explanation:
Slope is 0
Answer:
B. Events H and C are dependent and P(H|C) < P(C|H)
Step-by-step explanation:
The ratios of groups with children to hiking groups on the trail are different for the two trails.
P(H|C) = 15/45 = 1/3
P(C|H) = 15/40 = 3/8
1/3 < 3/8 so the comparison of choice B is appropriate.