Answer:
9
Step-by-step explanation:
you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.
So we would need to realize that the constant would be equal to (-6/2)^2 =(-3)^2 = 9
We have completed the square.
f(x) = 4*( x - 3)^2 + 20 is now in Vertex Form
The <em>correct answers</em> are:
B) $25; and
D) $50.
Explanation:
Eric got a 20% discount. This means he paid 100%-20% = 80% of the retail value.
Let C represent the cost of CDs and S represent the cost of sweatshirts. For Eric's purchase, we have the equation:
0.8(3C+S) = 100
Using the distributive property, we have
0.8(3C) + 0.8(S) = 100
2.4C + 0.8S = 100
Neil got a 40% discount; this means he paid 100%-40% = 60% of the retail value. We have the following equation for him:
0.6(4C+2S) = 120
Using the distributive property, we have:
0.6(4C)+0.6(2S) = 120
2.4C + 1.2S = 120
This gives us the system:

Since the coefficient of C is the same in each equation, we will eliminate this variable. We do this by subtracting the equations:

We divide both sides by -0.4:
-0.4S/-0.4 = -20/-0.4
S = 50
Each sweatshirt is $50.
We will substitute this into the first equation:
2.4C+0.8(50) = 100
2.4C + 40 = 100
Subtract 40 from each side:
2.4C+40-40 = 100-40
2.4C = 60
Divide each side by 2.4:
2.4C/2.4 = 60/2.4
C = 25
Each CD is $25.
Answer:
Step-by-step explanation:
Ok, if they make $36,000 every year, that means the maximum they can spend is $36,000.
If the mortgage is a monthly payment, and there are 12 months in a year, that means we will split the $36,000 over 12 different payments. To do that we will divide the 36,000 by 12
36,000 / 12 = $3,000
That means the most they can spend on mortgage is $3,000 per month.
Answer: they lost 16 games
<u>Step-by-step explanation:</u>
Wins: x + 17
Losses: x
Ties: 3
Total: 52
Wins + Losses + Ties = Total
x + 17 + x + 3 = 52
2x + 20 = 52
2x = 32
x = 16
Given that Trent's watch runs at half the speed it should run, this implies that
for every hour passed, his watch moves by half an hour.
Hence, for every half-hour passed, Trent's watch moves by 15 minutes.
Hence, when the real time is 10:30 am, Trent's watch will show 9:15 am.