Answer:
y = -2x + 3
Step-by-step explanation:
Let's just put the three points together.
(-1, 5) (-4, 11) (-7, 17)
First, let's find the slope with y2 - y1/x2 - x1
Plug in using (-1, 5) and (-4, 11)
11 - 5/-4 + 1 = 6/-3 (simplify)
-2 is the slope
Now plug in (-7, 17) in the equation to get b or the y-intercept)
y = mx + b
17 = -2(-7) + b
17 = 14 + b (subtract 14 on both sides)
3 = b
y = -2x + 3
Answer:
dy/dt = - (1/5) ft/s = - 0.2 ft/s
Step-by-step explanation:
Given
L = 5 ft
Qin = 25 ft³/s
Qout = 30 ft³/s
h = 10 ft
dy/dt = ?
We can apply the relation
ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s
⇒ ΔQ = - 5 ft³/s
Then we use the formula
Q = v*A
where Q = ΔQ, A = L² is the area of square base and v = dy/dt is the rate of change in the depth of the solution in the tank
⇒ ΔQ = (dy/dt)*L²
⇒ dy/dt = ΔQ/L²
⇒ dy/dt = (- 5 ft³/s)/(5 ft)²
⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s
Answer:
A is correct.
x>5 means all numbers greater than BUT not equal to 5.
The open circle means "not equal".
So, A is correct.
Hope this helps!
Answer:
C
Step-by-step explanation:
Given
30( 
x - 2) + 40( 
y - 4)
Multiply each of the terms in the first parenthesis by 30 and multiply each of the terms in the second parenthesis by 40.
= 15x - 60 + 30y - 160
= 15x + 30y - 220 → C
The answer is 360 in² If you need to see work just tell me :)
