The solutions to the system of equations are given as follows: (1, -3) and (-4,2).
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The equations are given as follows:
- (x + 3)² + (y + 2)² = 17.
From the second equation:
y = -2 - x.
Replacing in the first:
(x + 3)² + (y + 2)² = 17.
(x + 3)² + (-2 - x + 2)² = 17
x² + 6x + 9 + x² = 17
2x² + 6x - 8 = 0
2(x² + 3x - 4) = 0
2(x + 4)(x - 1) = 0.
Then the solutions for x are:
The solutions for y are:
- When x = 1, y = -2 - 1 = -3.
- When x = -4, y = -2 -(-4) = 2.
Hence the solutions are:
(1, -3) and (-4,2).
More can be learned about a system of equations at brainly.com/question/24342899
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55% off the regular price means she paid 45% of the regular price. ( 100% - 55% = 45%
Multiply the original price by 45%:
39 x 0.45 = 17.55
She paid $17.55
(If you need to know how much she saved: 39 - 17.55 = $21.45)
The restaurant needs at least 761 forks.
There are currently 205 forks
Each set on sale contains 10 forks,
The number of set taht have to buy are x
Number of forks in x set are = 10x
Since, we need at least 761
So 761 should be graeter than equal to the sum of reamining forks and the new forks
i.e. 761 ≥ 10x + 205
Answer : 3. 761 ≥ 10x + 205
Answer:
657483920
Step-by-step explanation:
this is incorrect
The sum of b and f is b+f
Three times this sum is 3(b+f)
