Answer:
D) 130 workers
Step-by-step explanation:
We have the equation, <em>y = 2x + 40</em>, and <em>y, 300</em> (since the y-coordinate represents the # of bottles made), so we can solve for x, <em>the number of workers needed</em>.
Substitute: <em>300 = 2x + 40</em>
Subtract: <em>260 = 2x</em>
Divide: <em>x = 130</em>
Since x = 130 when y = 300, 130 workers are required to make 300 bottles in a day.
Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
Answer:3.2
Step-by-step explanation:
The line is passing through the y-axis at 3. The slope of the line is 3.
So your equation would be y = 3x + 3.
Now solve A through F to see which equation(s) matches the line.
A. y + 6 = 3(x + 3)
y + 6 = 3x + 9
y = 3x + 3
B. y + 6 = 3(x + 1)
y + 6 = 3x + 3
y = 3x - 3
C. y - 6 = 3(x - 3)
y - 6 = 3x - 9
y = 3x - 3
D. y - 6 = 3(x - 1)
y - 6 = 3x - 3
y = 3x + 3
E. y = 3x + 2
F. y = 3x + 3
Which letters equaled y = 3x +3?
A, D, and F.
The equations that describe the line are A, D, and F.
