Answer:
The answer is that r = 7/6
Step-by-step explanation:
Given point: (7, 5)
Given slope: m = 6
Use the point slope form of the equation:
y - y1 = m(x - x1)
y - 5 = 6(x - 7)
y - 5 = 6x - 7
y = 6x + 2
Now, find r for the point (r, 9) by substitution:
9 = 6x + 2
6x + 2 = 9
6x = 7
x = 7/6
Proof:
y = 6x + 2
f(x) = 6x + 2
f(7/6) = 6(7/6) + 2
= 42/6 + 2
= 7 + 2 = 9, giving (7/6, 9). r = 7/6
Hope this helps! Have a great day!
Answer:
yes
Step-by-step explanation:
Answer:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
x = 11 hours
Step-by-step explanation:
Let
Number of hours = x
Total cost = y
Total cost = fixed cost + variable cost
The equations are:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
solve the equation to find for how many hours the total cost of the services is equal.
Equate total cost of both services
20 + 4x = 9 + 5x
Collect like terms
20 - 9 = 5x - 4x
11 = x
x = 11 hours
Check:
Happy paws
y = 20 + 4x
= 20 + 4(11)
= 20 + 44
= 64
Woof watchers
y = 9 + 5x
= 9 + 5(11)
= 9 + 55
= 64
Answer:
0.56
Step-by-step explanation:
