In order to find the y-intercept, replace x by 0.
So, for first option:
f(0) = 7(1) - 2 = 5
For second option:
f(0) = -3(1) - 5 = -8
For third option:
f(0) = 5(1)-1=4
For Fourth option:
f(0) = -5(1) + 10 = 5
For Fifth Option:
f(0) = 2(1) + 5 = 7
So, option 1 and 4 have the y-intercept (0,5)
Take the equation: y = 520 + 14x and put each value from the table in for x and y.
100 = 520 + 14 * -30
100 = 520 + -420
100 = 100 When we get an answer like this where the numbers on both sides of the equation match, we know that this (x,y) point is a part of the solution to the function.
So, you would work through each line in the table. If they are all like the one above, the answer is Yes. If not, it is no.
Answer:
Marc's age is 12
Step-by-step explanation:
Let
x ----> Marc's age
y ---> Tony's age
z ---> Ben's age
we know that
the sum of their ages is 40
so
-----> equation A
Marc is half as old as Tony
so
----> equation B
Marc is three times as old as Ben
so

----> equation C
substitute equation B and equation C in equation A

solve for x


therefore
Marc's age is 12
Answer:
47.746, answer choice C
Step-by-step explanation:
47.746