Answer:
Option A
Step-by-step explanation:
to be perpendicular, the product of two slopes should be -1
the slope of the first equation is 1/5, so the slope should be -5
(1/5) (-5)= -1
y= -5x +b
Substitute (1,1) to solve for b,
b= 6
Thus, the equation is y= -5x +6
Answer:
1) Word Problem
Sally has $2 and her mother gave her $10 to buy something from the store. Sally spent $7 at the store. How much money does Sally have now?
Expression
(2 + 10) - 7
2) Word Problem
Bob has 5 friends and each of them gave Bob 2 cookies. Bob originally had 2 of his own cookies. After collecting all of the cookies Bob split them evenly among him and his friends. How many cookies does each person have?
Expression
(5 x 2 + 2) ÷ 6
Answer:
When 3x/4 - 13 = -9, x² = 256/9.
Step-by-step explanation:
3x/4 - 13 = -9
Multiply the expression by 4.
3x - 52 = -36
Add 52 to both sides.
3x = 16
Divide both sides by 3.
x = 16/3
Knowing x, let's square it.
(16/3)²
Apply the power to fraction rule.
16²/3²
Evaluate the powers.
256/9.
Answer:
81
Step-by-step explanation:
g(x) = x^4 put f(x) in for x in g(x)
g(f(x)) = (f(x))^4 Substitute the value for f(x) which is (-2x - 5) put - 4 in for the x in f(x)
g(f(x) = (-2x - 5)^4
g(f(x)) = (- 2*(- 4) - 5)^4 Combine
g(f(x)) = (8 - 5)^4 Subtract
g(-4) = (3)^4 Raise 3 to the 4th power
g(-4) = 81 Answer.
3/4 box = 12 oz
we first need to find 1/4 of a box. to do that divide both sides by 3
1/4 box = 4 oz
for a full box which is 4/4 multiply both sides by 4
1/4 x (4) = 4 x (4) oz
4/4 ( or one whole) = 16 oz