Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
Given a sequence; a₁,a₂,a₃...,an,
The common difference is d= a₂-a₁=a₃-a₂=a₄-a₃....
In this case:
a₁=1.05
a₂=1.1
d=a₂-a₁=(1.1)-(1.05)=0.05
Answer: The common difference is 0.05.
Answer: -2y -8x = 4
Step-by-step explanation:
y - 6x - 11 - 2x - 3y = -7
y -3y -6x -2x = -7 +11
-2y -8x = 4
Answer:
Step-by-step explanation:
If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,
2x + 10 + 4x + 80 = 180 and
6x = 90 so
x = 15
Answer:
<em>See below.</em>
Step-by-step explanation:
First, you want to turn the percentage into a decimal. To do that, divide the percentage by 100.
Next, multiply the percentage by the price.
rounded to the nearest cent would be 
.
Last, you would subtract to find the answer.
<em>Answer: $122.42</em>
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<em>:)</em>
