Answer:
f(g(x))=(x-2)^2 - 7
(x-2)(x-2) - 7
x^2-2x-2x+4-7
x^2-4x-3
g(f(x))=x^2-2-7
x^2-9
(x+3)(x-3)
Step-by-step explanation:
- to solve for f(x), replace x with the g(x).
- since we don't multiply a bracket with the negative or the positive signs to the
- exponent, you have to factor into two binomials.
- use the FOIL method to eliminate the brackets.
- add like-terms
- to find g(x), replace x with the f(x).
- add like-terms
- since there's difference of square, factor them into two binomials
Answer:
$57.63
Step-by-step explanation:
For x > 3, the price in dollars Mr. Roshan will pay for x pounds of beef is ...
cost = 4.99×3 +4.49(x -3) = 3(4.99 -4.49) +4.49x
cost = 1.50 +4.49x
Then for x = 12.5 pounds, the cost is ...
cost = 1.50 +4.49×12.5 = 1.50 +56.13
cost = 57.63
Mr. Roshan will pay $57.63 for 12.5 pounds of beef.
Answer:
correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
