we know that
A quadratic equation is a polynomial with an order of two. Its general form is
case a) 
<u>The case a) is a quadratic equation</u>
case b) 
<u>The case b) is a grade 
polynomial</u>
case c) 
<u>The case c) is a grade 
polynomial</u>
case d) 
<u>The case d) is a grade 
polynomial</u>
therefore
the answer is
Answer:
PR = 12
Step-by-step explanation:
P-----------Q-----------R----------S
ratio
4:2:1
PS = 14
add the ration = 4 + 2 + 1 = 7
14 / 7 = 2
PQ at 4 x 2 = 8
QR at 2 x 2 = 4
RS at 1 x 2 = 2
------------
14
PR = PQ + QR
PR = 8 + 4
PR = 12
Answer:
x = -4
Step-by-step explanation:
Simplifying
2[x + 4] = 2[-8 + -1x] + -2x
Reorder the terms:
2[4 + x] = 2[-8 + -1x] + -2x
[4 * 2 + x * 2] = 2[-8 + -1x] + -2x
[8 + 2x] = 2[-8 + -1x] + -2x
8 + 2x = [-8 * 2 + -1x * 2] + -2x
8 + 2x = [-16 + -2x] + -2x
Combine like terms: -2x + -2x = -4x
8 + 2x = -16 + -4x
Solving
8 + 2x = -16 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
8 + 2x + 4x = -16 + -4x + 4x
Combine like terms: 2x + 4x = 6x
8 + 6x = -16 + -4x + 4x
Combine like terms: -4x + 4x = 0
8 + 6x = -16 + 0
8 + 6x = -16
Add '-8' to each side of the equation.
8 + -8 + 6x = -16 + -8
Combine like terms: 8 + -8 = 0
0 + 6x = -16 + -8
6x = -16 + -8
Combine like terms: -16 + -8 = -24
6x = -24
Divide each side by '6'.
x = -4
Simplifying
x = -4
Hello from MrBillDoesMath!
Answer: x = 10 for 4x - 8 = 32
x = -5 for 2(x-5) = -20
Discussion:
------------------------------
4x - 8 = 32 (*)
Add 8 to both sides:
4x - 8 + 8 = 32 + 8 =>
4x = 40 =>
x = 10
-----------------------------------------------
2(x-5) = 2x - 2(5) =>
2x - 10 = -20 (**)
Add 10 to each side of (**):
2x - 10 + 10 = -20 + 10 =>
2x = -10
x = -5
Thank you,
MrB
Answer:
Step-by-step explanation:
