Two events are mutually exclusive if they cannot occur at the same time.
The only number greater than 5 is 6, which is an even number so the answer would be D.
Separate into two inequalities.
1x < 3
1x > -15
Solve for x.
x < 3
x > -15
<span>log (M/N) = log M - log N
so log M - log N = 5
log (P/N) = log P - log N
so log P - log N = 7
If you subtract equation 2 from equation 1, you have log M - log P = -2
That means that log (M/P) = -2 ----> 10^-2 = M/P ---> P = 100M</span>
Answer:
Usually it's in standard form: ax²+bx+c
or vertex form: y=a(x-h)²+k
If you put the graph into a graphing calculator it's going to look like a hill/depression.
Step-by-step explanation:
Standard form ex: 3x²+2x+1
Vertex form ex: y=4(x-1)²-2
1. 4x + 2y = 11
x - 2 = -2y
First I would isolate one of the variables (x or y) of one of the equations, and then substitute it into the other equation.
The easiest to isolate is the "x" in the second equation
x - 2 = -2y Add 2 on both sides
x = -2y + 2
Substitute this into the first equation
4x + 2y = 11
4(-2y + 2) + 2y = 11 Multiply 4 into (-2y + 2)
-8y + 8 + 2y = 11 Combine like terms
-6y + 8 = 11 Subtract 8 on both sides
-6y = 3 Divide -6 on both sides
y = -3/6 Simplify
y = -1/2
Now that you know "y", you can plug it into either of the original equations to find "x"
x - 2 = -2y
x - 2 = -2(-1/2)
x - 2 = 1 Add 2 on both sides
x = 3
Answer is A
2. y = 3x + 5
4x - y = 5
Substitute the first equation into the second equation
4x - y = 5
4x - (3x + 5) = 5 Multiply/distribute the - into (3x + 5)
4x - 3x - 5 = 5 Combine like terms
x - 5 = 5 Add 5 on both sides
x = 10
Plug in "x" into either of the original equations to find "y"
y = 3x + 5
y = 3(10) + 5
y = 30 + 5
y = 35
Answer is A
