Answer: 1029
Step-by-step explanation:
Answer:
The answer is: y = 2/3x - 3
Step-by-step explanation:
Given point: (3, -1)
Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.
Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:
y - y1 = m(x - x1)
y - (-1) = 2/3(x - 3)
y + 1 = 2/3x - 6/3
y + 1 = 2/3x - 2
y = 2/3x - 3
Proof:
f(3) = 2/3(3) - 3
= 6/3 - 3
= 2 - 3
= -1, giving the point (3, -1)
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Answer:
75+12h ≥ 399
He must work at least 27 hours
Step-by-step explanation:
How much does benny earn
He makes 75 for the course plus 12 dollars an hour
75+ 12h
This must be at least 399
75+12h ≥ 399
Subtract 75 from each side
75-75+12h ≥ 399-75
12h ≥ 324
Divide each side by 12
12h/12 ≥ 324/12
h ≥ 27
He must work at least 27 hour
For a vertical projectile, the equation of motion is expressed h(t)=g+bt+c, where g is gravity, b is the initial upward velocity, and c is the starting height. The maxima of this equation is given by -b/2g, which in this case would be -56/-32, or 1.75 seconds after launch
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