Answer:
The answer is A. -5
Step-by-step explanation:
Write out the equation:
-3 + c = -8 Add 3 on both sides to isolate the varible on one side
c = -5 -8 plus 3 is -5
You must isolate the variable in order to solve equations with variables.
Isolating variable is basically when you divide, multiply, add, or subtract to put a variable on <u><em>ONLY </em></u>one side of the equation.
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Answer: Raju travels at a higher speed.
Step-by-step explanation:

Speed inversely proportional to time.
As time taken to cover a particular distance decreases the speed will increase.
Raju covers a certain distance in 1 hour.
Sham covers the same distance in 2 hours.
1< 2
Thus Raju travels at a higher speed.
Answer:
Y = 90
X = 52
Step-by-step explanation:
Y is on a straight line. The sum of the angles on a straight line is 180.
The only other angle (that is marked) on this straight line, is a 90 degree one. So, <y + 90 = 180.
<y = 90.
Now <x + 38 = 90
so, x = 52
Answer:
P(x) = -5(x² - 12)² + 405
Step-by-step explanation:
P(x) = -5x² + 120x - 315
Factor out -5 from the first two terms
P(x) = -5(x² - 24x) - 315
Complete the square
P(x) = -5(x - 12)² - (-5(-12)²) -315
P(x) = -5(x - 12)² + 720 - 315
P(x) = -5(x - 12)² + 405