Answer:
c. 11
Step-by-step explanation:
3p + 10 = 2p + 21
Subtract 2p from both sides.
3p - 2p + 10 = 2p - 2p + 21
Simplify.
p + 10 = 21
Subtract 10 from both sides.
p + 10 - 10 = 21 - 10
Simplify.
p = 11
Answer: c. 11

n is an integer, so 2n+1 is also an integer. 8s+1 is equal to the square of 2n+1, so it's a square number.
2n+1 is an odd integer for any value of n. The square of an odd integer is always an odd integer. Therefore 8s+1=(2n+1)² is odd.
8s+1 is an odd square number.
No
No
No
Yes
Yes
They have to be whole numbers
Answer: 
Step-by-step explanation:
Given the quadratic equation
, you need to factor it.
In order to find the form asked of the given equation, you need to factor out the common factor of the terms.
You can observe that the common factor of the terms of the equation is: 
Now, knowing this, you must factor out
. Then you get the following form:

Therefore, the factored fom of the equation
is:

Answer:
Hence x = -1 and y = 18
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Step-by-step explanation:
Given the system of equations
y + 8x = 10... 1
2y - 4x = 40 ... 2
From 1; y = 10-8x
Substitute into 2;
2(10-8x) - 4x = 40
20 - 16x - 4x = 40
20 - 20x = 40
-20x = 40 - 20
-20x = 20
x = -1
Recall that y = 10-8x
y = 10 - 8(-1)
y = 10 + 8
y = 18
Hence x = -1 and y = 18
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