Answer:
x = 5 + sqrt(7) or x = 5 - sqrt(7)
Step-by-step explanation by completing the square:
Solve for x:
x^2 - 10 x + 26 = 8
Subtract 26 from both sides:
x^2 - 10 x = -18
Add 25 to both sides:
x^2 - 10 x + 25 = 7
Write the left hand side as a square:
(x - 5)^2 = 7
Take the square root of both sides:
x - 5 = sqrt(7) or x - 5 = -sqrt(7)
Add 5 to both sides:
x = 5 + sqrt(7) or x - 5 = -sqrt(7)
Add 5 to both sides:
Answer: x = 5 + sqrt(7) or x = 5 - sqrt(7)
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Answer:
A and A is the answer. so this is the answer
Answer:
5x+31
Step-by-step explanation:
f(g(x))
5(x+7) -4
5x+35-4
5x+31=f(g(x))
