Answer:
What is the simplified form of this expression?
7a2 + 10a − 3a − 2a2
Step-by-step explanation:
7a2 + 10a − 3a − 2a2
Combine like terms
742 + 10a - 3a - 2a2
742 + 7a - 2a2
solution=
5a2 + 7a
Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.
-----------------------------------
Add whole numbers.
2x + 1 + 37 + 118 = 180
Add whole number (if there is any).
2x + 38 +118 = 180
Subtract 156 from both sides to have one side have a variable.
2x + 156 = 180
-156 -156
Divide both sides by 2 because you don't need the whole number with the variable.
2x = 24
--- ----
2 2
You get the answer as 12.
x = 12
Check:
2(12) + 1 + 37 + 118 = 180
24 + 1 + 37 + 118 = 180
25 + 37 + 118 = 180
62 + 118 = 180
180 = 180
Answer:
y=9x+75
Step-by-step explanation:
since we know that the slope must be the same for two lines to be proportional, we are gonna start there.
so our equation is: y= 9x + b
we need to find b to complete our equation, so substitute in the points we were given.
3 = 9(-8) + b
so now,
3 = -72 + b
now we have to isolate b to find out what it is,
3 = -72 + b
+72 +72
so now: 75= b
Put that back into the starting equation: y = 9x + 75
Answer:
The score is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
From the question we are told that the score follow a normal distribution
i.e 
The proportion of score in the top 10% is mathematically
Where x is the minimum score required to be in the top 10%
Now the 
So
So
So the critical value of 0.10 from the normal distribution table is 
So
