Answer:
answer is b
Step-by-step explanation:
.
For this case we have the following equation:
x ^ 2 + 18x + 32 = 0
Rewriting we have:
x ^ 2 + 18x = -32
By completing squares we have:
x ^ 2 + 18x + (18/2) ^ 2 = -32 + (18/2) ^ 2
Rewriting:
x ^ 2 + 18x + (9) ^ 2 = -32 + (9) ^ 2
x ^ 2 + 18x + 81 = -32 + 81
x ^ 2 + 18x + 81 = 49
(x + 9) ^ 2 = 49
Answer:
(x + 9) ^ 2 = 49
option 1
Answer:
The relationship between n and t is n*t=1200 (option d)
Step-by-step explanation:
Two quantities are inversely proportional if when multiplying (or dividing) one of them by a number, the other is divided (or multiplied) by the same number. That is, two magnitudes are inversely proportional if when one increases, the other decreases in the same proportion.
Given two variables, x and y, with an inversely proportional relationship, the product of both is always constant and equal to the coefficient of proportionality:
x*y=k
where k is the coefficient of proportionality.
This means that knowing the value of the proportionality coefficient and the value of a variable, the value of the other variable can be known through the quotient between the proportionality coefficient and the value of the known variable:

The amount of the tip "t" each waiter receives after a wedding is inversely proportional to the number of waiters "n" serving the event. The total amount for tips at a wedding was $1,200.Taking into account the aforementioned definition of inversely proportional quantities, this can be expressed by:
n*t=1200
<u><em>The relationship between n and t is n*t=1200 (option d)</em></u>
<u><em></em></u>
In this system of equations, I'll do elimination. Ok, so what we are trying to do is to eliminate a variable, but we can't. So since -2y is negative, and y has a coefficient of 1 and is positive, let's multiply the first whole equation by 2.
2 times (3x+y=11) is 6x+2y=22. (I just used distributive property.) Now let's add from left to right.
6x plus x is 7x, 2y plus -2y is 0, and 22 plus 6 is 28. Now we have this simple equation, 7x=28. We can simply divide each side by 7, to get x as 4. So x=4 in this set of equations. Now all we need to do is plug x in the equation then solve for y. For this system of equations, I'll use the first equation, because it is easier. So I'll plug x as 4 into the equation to get 12+y=11. Now we can simply solve for y. 11-12 is -1, so y must equal -1. So y=-1. Therefore, x=4 and y=-1. Hope I helped.