Answer:
(-5,-1)
Step-by-step explanation:
2x+y=9 -> y=-2x+9
3x-y=16
3x-(-2x+9)=16
3x+2x-9=16
5x-9=16
5x-9 (+9)=16 (+9)
5x=25
x=5
no plug in 5 to x in any equation above
2(5)+y=9
10+y (-10)=9 (-10)
y=-1
so the answer is (-5,-1)
hope it's correct! and hope i helped
<h3>
Answer: The vertex is located at (2, 2)</h3>
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Explanation:
The general vertex form is
y = a(x-h)^2 + k
When we compare the function your teacher gave you to this template, then we see that
The vertex is therefore (h,k) = (2,2)
The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).
Answer:
<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>
Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality
Where 
represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so
Solving for
Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
Step-by-step explanation:
(5,4) is the coordinate of the point j after rotation
Answer:
1: y=5, x=2
2:y=1, x=6
3:x=5 and y=1
Step-by-step explanation:
For #1: Use substitution, substitute x=2 into the second equation
For #2: Set the two equations equal to each other and solve for y. Then plug in the value of y and solve for x.
For #3: Use substitution, substitute x=2y+3 into the second equation. Solve for y and plug in the value of y to solve for x.
If this helped, brainliest answer would be greatly appreciated!
