
Any number to the power of
is itself. So,
.
Here are some more examples:



I give u the answers of first and second one.
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Answer:
5x²+7x-4
Step-by-step explanation:
Given: (7x²+2x-1)-(2x²-5x+3)
Distribute: 7x²+2x-1-2x²+5x-3
Rearrange: 7x²-2x²+5x+2x-3-1
Combine like terms: 5x²+7x-4
Your final answer is thus 5x²+7x-4
Answer:
A. 2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. $1,380
Step-by-step explanation:
Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.
A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights. Brenda's total is $1,500, then

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights. Brenda's friend total is $1,320, then

Subtract two equations:

Substitute into the first equation:

Hence
2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid 
The total cost is

Answer:
x = 13
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
78(11x - 13) = 10140 ( divide both sides by 78 )
11x - 13 = 130 ( add 13 to both sides )
11x = 143 ( divide both sides by 11 )
x = 13