Answer:
186.5 + 2x
Step-by-step explanation:
First, radify 25. Luckily it's a perfect square so it will be 5.
Second, divide within the parentheses. You're expression should look like this.
(93-5+x+42/8)2
Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.
Third, solve within the parentheses from left to right. Right now you're expression should look like this:
(93-5+x+5.25)2
Add all like terms
93-5+5.25=93.25
Fourth, multiply. Right now the expression should look like this:
(93.25 + x) 2
186.5 + 2x
Answer: Reflection about x-axis
Step-by-step explanation:
Given
Initially, vertices are 
After reflection they become 
It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.
For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).
So, here reflection is being done about the x-axis.
Answer: 2014
Step-by-step explanation:
LED: -25x + 6y = 20
CFL: 15x + 2y = 322
we need to find which year it was the same to know where LED lighting surpassed CFL lighting
-25x + 6y = 20
15x + 2y = 322 (-3)
-25x + 6y = 20
<u>-45x - 6y = -966 </u>
-70x = -946
x = 13.51
The nearest year would be 14 which is 2014
Answer:
$300
Step-by-step explanation:
Let's say that L is the amount of money Luisa had in the beginning, and C is the amount of money Connor had in the beginning.
C + L = 360
C - 2/5 C = L + 2/5 C
Simplifying the second equation:
3/5 C = L + 2/5 C
1/5 C = L
Substituting into the first equation:
C + 1/5 C = 360
6/5 C = 360
C = 300
Connor originally had $300, and Luisa $60. Connor gave Luisa $120, and they both had $180.
