Answer:
Kyle did not solve the question correctly
Step-by-step explanation:
The equation (-4x +9)^2 is a perfect square trinomial.
A typical example of a perfect square trinomial is (x +y) ^2 = x^2 + 2xy + y^2
Therefore, (-4x + 9)
= (-4x)^2 + 2(-4x)(9) + (9)^2
= 16x^2 + 2(-36x) + 81
= 16x^2 - 72x +81
The result Kyle gave was 16x^2 + 81. This is incorrect.
Therefore, Kyle did not solve the question correctly
Well put it into an equation,
j * -50 = - 11
first you would divide -50 from both sides making it
j=0.22
0.22 times -50 gives you -11
Marcus sold 8 cups of lemonade and 3 bags of peanuts. 0.75 times 8 equals $6.00. 0.35 times 3 equals $1.05. $6.00+ $1.05= $7.05. Your welcome dude
Answer:
y= 1/3 x +5
Step-by-step explanation:
To find the slope, we take two points
(0,5) and (15,10)
The slope is found by the formula
m = (y2-y1)/ (x2-x1)
= (10-5)/(15-0)
= 5/15
= 1/3
The slope is 1/3
The y intercept is found when x=0
When x=0 y=5
The slope intercept form of the line is
y=mx+b where m is the slope and b is the y intercept
y= 1/3 x +5
Answer:
Step-by-step explanation:
rate of leaking water = 9500 cm³/min
height of tank, H = 6 m = 600 cm
diameter of tank, = 4 m
radius of tank, R = 2 m = 200 cm
dh/dt = 20 cm/min
at any time, h = 2 m Let at that time radius of the tank is r.
According to the diagram
R / H = r / h
200 / 600 = r / h
r = h/3
The volume of tank is given by
Differentiate with respect to t
dV/dt = 279111.11 cm³/min
This is the volume of water increasing per minute in the tank.
Let C be the rate of volume of water pumped into the tank.
So, C = 279111.11 + 9500
C = 288611.11 cm³/min