Answer:
Slope is m = 5
Step-by-step explanation:
Answer: 4/5
Step-by-step explanation:
The slope : rise over run, or the change in y/ change in x
Change in y = 40 (50 - 90)
Change in x = 50 (50 - 100)
40/50 or 4/5
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer: y <= x^(2) - 3x - 1
How to: Graph the inequality by finding the boundary line, then shading the appropriate area.
Have a great day and stay safe !
<span>4x - y =5
4x + 4y = -4
Change all the signs of the first equation
-4x + y = -5
Add 4x to both sides
y == 4x - 5
Substitute for y in second equation
4x + 4(4x - 5) = -4
4x + 16x - 20 = -4
20x - 20 = -4
Add 20 to both sides
20x = 16
Divide both sides by 20
x = 16/20 === 4/5
Substitute to find y
y == 4x - 5 == 4(4/5) - 5 == 16/5 - 5 = -9/5
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