First Equation
STEP 1: Move the variable to the right side and change its sign
3x=8-y
STEP 2: Divide both sides of the equation by 3
x=8/3 - y/3
STEP 3: Write all numerators above the common denominator
x=8-y/3
THE FINAL ANSWER IS:
x=8-y/3
Second Equation
STEP 1: Move variable to the right side and change its sign
-x= -10+2y
STEP 2: Change the signs on both sides of the equation
x=10-2y
THE FINAL ANSWER IS:
x=10-2y
The van is traveling about 55.9 miles per hour.
Answer:
276 4/7 ft
Step-by-step explanation:
Let r1 represent the radius of the inner circle. Then its circumference in feet is ...
C = 2πr
66 = 2π(r1)
If the radius of the outer circle is (r1 +44), then its circumference is ...
C = 2π(r1 +44) = 2π(r1) +2π(44)
C = 66 +88π
Then the difference in the circumferences is ...
(66 +88π) - (66) = 88π
Using the given value of π, the difference in circumferences is ...
(88 ft)(22/7) = 1936/7 ft = 276 4/7 ft
For this case we have the following expression:
(x ^ 2 + 2x + 1 / x ^ 2-8x + 16) / (x + 1 / x ^ 2-16)
Rewriting we have:
(((x + 1) (x + 1)) / ((x-4) (x-4))) / (x + 1 / ((x + 4) (x-4)))
Then, we cancel similar terms:
((x + 1) / (x-4)) / (1 / (x + 4))
Rewriting:
((x + 1) (x + 4)) / (x-4)
Answer:
((x + 1) (x + 4)) / (x-4)
Composition function rule (f○g)(x) = f(g(x))
<em><u /></em><u>Given the separate functions</u>:
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