Answer:
y = 4x+6
The input is 11 when the output is 50
Step-by-step explanation:
We need to find the slope of this function using 2 points
(3,18) and (0,6) are two points
m = (y2-y1)/(x2-x1) is the formula for slope
=(6-18)/(0-3)
-12/-3
=4
The slope is 4
We know the y intercept. It is the value when x =0. The y intercept is 6
We can use the slope intercept form of the equation
y = mx+b, where m is the slope and b is the y intercept.
y = 4x+6
We want to know the input when the output is 50 (or y=50)
50 = 4x+6
Subtract 6 from each side
50-6 = 4x+6-6
44 = 4x
Divide by 4
44/4 = 4x/4
11=x
The input is 11
Answer:
Step-by-step explanation:
The work is define as the integral of the force times distance. So we have:
Now, we can write the force in terms of density.
V is the volume (V=2*1*1=2 m³)
So the work will be:
The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.
I hope it helps you!
I think that the answer would be 4 chapters.
Sorry if I'm wrong!
Answer:
x equals 3 :) if i helped, please give brainliest!
Step-by-step explanation:
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
