Answer:
y = 3x + 11
Step-by-step explanation:
Substitute the information into the point-slope form equation.
Point-slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - (-3))
y - 2 = 3(x + 3)
y - 2 = 3x + 9
y = 3x + 11
Answer:
150 cm/s
Step-by-step explanation:
We have that the area of a rectangle is as follows:
a = l * w
they ask us to change the increase in area with respect to time, therefore, if we derive with respect to t we are left with:
da / dt = w * (dl / d) t + l * (dw / dt)
From the statement we know that:
l = 20 cm
w = 15 cm
dl / dt = 6 cm / s
dw / dt = 3 cm / s
replacing each value we have:
da / dt = 15 * 6 + 20 * 3
da / dt = 150
Which means that 150 cm / s increases the area of the rectangle in relation to time
Answer:
h > 6
Step-by-step explanation:
6 + h > 12 (subtract 6 to both sides)
h > 12 - 6
h > 6
Answer:
B. Sometimes I am pretty sure
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
