(x-1)(5x-6)
Factor
−
11
-
11
out of
−
11
x
-
11
x
.
5
x
2
−
11
(
x
)
+
6
5
x
2
-
11
(
x
)
+
6
Rewrite
−
11
-
11
as
−
5
-
5
plus
−
6
-
6
5
x
2
+
(
−
5
−
6
)
x
+
6
5
x
2
+
(
-
5
-
6
)
x
+
6
Apply the distributive property.
5
x
2
−
5
x
−
6
x
+
6
5x + 2y = 22
10x + 9y = 59
so now we need to either eliminate the y or the x and we need to multiply both numbers by something so that they will be the same and we can add or minus them.
so here I will eliminate x because it's easier
we multiply the top equation by 2 and the bottom equation by 1 and we get
10x + 4y = 44
10x + 9y = 59
so now we can see that the number of x's are the same and we can just find the DIFFERENCE between the two equations if it was -10x and 10x we would ADD
= 5y = 15
notice that the x'a have cancelled each other out
now we divide both sides by 5 so
y=3
now we have y, we need to substitute it into one of the original equations, doesn't matter which one. I'm going to do the first one.
5x + 2y = 22
5x + 2(3)=22
5x + 6 = 22
now minus 6 from both sides
5x = 16
divide both sides by 5
x = 3.2
we have our answers but to be sure we need to just substitute the values for x and y into BOTH original equations.
5x + 2y = 22
= 16 + 6 = 22
10x + 9y = 59
= 32 + 27 =59
Tadaa!! and there you have it
y = 3
x = 3.2
hope this helped :)
Linda will both water & feed her plants on the same day on the 21st day.
Answer:
B. Events A and B are mutually exclusive if A and B have no sample points in common.
Step-by-step explanation:
When two events( call them A and B) are mutually exclusive , it is impossible for them to happen together.
P(A and B) = 0
"The probability of A and B together equals 0 (impossible)"
Hence, the correct answer is B.
B. Events A and B are mutually exclusive if A and B have no sample points in common.
Answer:
x=10
Step-by-step explanation:
8x+10=6x+30
8x-6x=30-10
2x=20
x=10
