Answer:
x = −6
Explanation:
5x + 7y = -23
Y = -2x - 11
Substitute -2x - 11 for y in 5x + 7y = -23
5x + 7(−2x − 11) = −23
Simplify both sides of the equation
5x + 7(−2x − 11) = −23
5x + (7)(−2x ) + (7)(−11) = −23 (Distribute)
5x + −14x + −77 = −23
(5x + −14x) + (−77) = −23 (Combine Like Terms)
−9x + −77 = −23
−9x − 77 = −23
Add 77 to both sides
−9x − 77 + 77 = −23 + 77
−9x = 54
Divide both sides by -9
−9x / -9 = 54 / -9
x = -6
Answer:
The answer is C
Step-by-step explanation:
sub x=1 into f(x),
remainder= 1^3+2(1)^2-5(1)-6= -8
since remainder≠0, x=1 is not a root of the function
sub x=-1,
remainder = (-1)^3+2(-1)^2-5(-1)-6= 0
by remainder theorem,
x=-1 is a root of f(x)
hence, the correct ans is c
Answer:
Length = 12 inches, height = 3 inches
Step-by-step explanation:
First, you have to set up a proportion. 2/7, x/42.
Then, you cross multiply and get the setup of 84=7x
Finally, you divide 84 by 7 and get 12.
12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.
Answer:
There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.
There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.
Probability = 16 / 2704 = 1 / 169
