Expand
x²+6x-27=-27
add 27 both sides
x²+6x=0
factor
x(x+6)=0
set to zero
x=0
x+6=0
x=-6
x=0 or -6
answer is 0 since -6 is not listed
-2x + y = 8
y = 2x + 8
now sub in 2x + 8 for y in the other equation
3x + 2y = 2
3x + 2(2x + 8) = 2...distribute the 2 thru the parenthesis
3x + 4x + 16 = 2
7x = 2 - 16
7x = - 14
x = -14/7
x = -2
now sub -2 in for x in either equation to find y
-2x + y = 8
-2(-2) + y = 8
4 + y = 8
y = 8 - 4
y = 4
solution is : (-2,4)
Answer:
the answer is d
Step-by-step explanation:
d
Answer:320 were surveyed
Step-by-step explanation:
<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula.
The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get:
7! / (5!*2!) = 7*6 / 2 = 21
21 subsets can be created</span>
