<span>Simplifying
4x2 + -24x + 4y2 + 72y = 76
Reorder the terms:
-24x + 4x2 + 72y + 4y2 = 76
Solving
-24x + 4x2 + 72y + 4y2 = 76
Solving for variable 'x'.
Reorder the terms:
-76 + -24x + 4x2 + 72y + 4y2 = 76 + -76
Combine like terms: 76 + -76 = 0
-76 + -24x + 4x2 + 72y + 4y2 = 0
Factor out the Greatest Common Factor (GCF), '4'.
4(-19 + -6x + x2 + 18y + y2) = 0
Ignore the factor 4.
</span><span>Subproblem 1
Set the factor '(-19 + -6x + x2 + 18y + y2)' equal to zero and attempt to solve:
Simplifying
-19 + -6x + x2 + 18y + y2 = 0
Solving
-19 + -6x + x2 + 18y + y2 = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
The solution to this equation could not be determined.</span>
Answer:
Step-by-step explanation:
Answer:
It is very likely that Rosa wins both prizes.
Step-by-step explanation:
The probability of winning a T‐shirt is 0.89 and the probability of winning a $20 gift certificate is 0.05. Which statement correctly describes the chances of Rosa winning a T‐shirt or a $20 gift certificate?
We have these three possibe outcomes.
Win t-shirt(0.89 probability) and lose the gift certiciate(1 - 0.05 = 0.95 probability)
Lose t-shirt(0.11 probability) and win the gift certiciate(0.05 probability).
Win both.
So
0.8955 = 89.55% probability of Rosa winning a T‐shirt or a $20 gift certificate, which is considered a very likely probability. So the answer is:
It is very likely that Rosa wins both prizes.
C) 12V2
12^2 + 12^2 = c^2
144 + 144 = 288
V288 = 12V2
Answer:
13. 20 + (-15) = 5 -- in total he kept 5 pounds
14. -28 + 38 = 10 -- the temperature changed by 10º over 12 hours
15. 100 + (-72) + 48 = 76
Step-by-step explanation:
13. since he gained 20lbs, then lost 15, add -15 to 20 to get 5, the amount of pounds he kept on him
14. the temperature starts at -28º then goes up 38º, so add 38 to -28.
15. the ramp goes up 100, (+100) then down 72, (-72) and then up another 48 (+48) as equation this would be 100 + (-72) + 48
