Point-slope form: y - y₁ = m(x - x₁)
(m is the slope, (x₁, y₁) is the point you are given that is on the line)
You know:
m = 5
(x₁, y₁) = (-2, -3) So substitute/plug it into the equation
y - y₁ = m(x - x₁)
y - (-3) = 5(x - (-2)) (two negative signs cancel each other out and become positive)
y + 3 = 5(x + 2) Your answer is A
Answer:
$ 1250
Step-by-step explanation:
output = 50 units per day
average total cost = $ 60
total cost = output × average total cost =50 × 60 = $ 3000
total variable cost = output × average variable cost = 35 × 50 = $ 1750
total cost = total fixed cost + total variable cost
total fixed cost = total cost - total variable cost = $ 3000 - $ 1750 = $ 1250
25x2=50-7=43
Tom started out with 43 baseball trading cards
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:
5. a) 2.140 + 1.725 = 3.865
b) 29.99 + 1.42 = 31.41
c) 6.157 - 1.009 = 5.148
6) 7.4 - 0.0022 = 7.2978 ✅
7.39 - 0.0012 = 7.3888
7. 140minutes / 2 hours and 20 minutes
