Answer:
The answer to your question is the last option (x + 6)² = 13
Step-by-step explanation:
Data
x² + 12x + 23 = 0
Process
1.- Subtract 23 in both sides
x² + 12x + 23 - 23 = -23
2.- Simplify
x² + 12x + ( ) = - 23
3.- Complete the perfect square trinomial
x² + 12x + (6)² = -23 + (6)²
4.- Factor
(x + 6)² = -23 + (6)²
5.- Simplify
(x + 6)² = -23 + 36
6.- Result
(x + 6)² = 13
Answer:
the first bullet, M+0.15m
Step-by-step explanation:
Think about it this way:
M is the total amount of money you pay for the meal.
0.15m is the tax calculation, 0.15 x M= a 15% tip
Because a tip means added money on top of the total cost of the meal, you have to add both of them together.
Choice 1:
= 5 * [5^3 / (2/5)]^2
= by looking at the equation, it's kinda not equal to 125
choice 2:
= [5^3 / 5^4]^-3
= 5^-9 / 5^-12
= 5^(-9 - -12)
= 5^3
= 125
choice 3:
= 5^-2 / 5^-5
= 5^(-2 - -5)
= 5^3
= 125
choice 4:
= 5 * 5^5/5^3
= 5 * 5^(5-3)
= 5 * 5^2
= 5^3
= 125
So the expression that is not equal to 125 is:
<span>5 times the quotient 5 cubed over two-fifths, raised to the second power</span>
Answer:
P(n) = 0.5
Step-by-step explanation:
For two events which are independent, we use the multiplication rule which states P (A and B) = P(A) * P(B). Substitute P(m) = 0.4 and P(m and n) = 0.2 into this formula.
P (m and n) = P(m) * P(n)
0.2 = 0.4*P(n)
Divide by 0.4 on both sides.
0.2 / 0.4 = P(n)
0.5 = P(n)
Two equations could be y=2x and y=4x-2
