Answer:
Part a. 1400 unit²
Part b 1240 unit²
Part c 1333.33 unit²
Step-by-step explanation:
The given function is 20·x - x²
Part a.
The dimensions of the five rectangles are;
20 × 20 + 20 × 18 + 20 × 16 + 20 × 10 + 20 × 6 = 1400 unit²
Part b.
The dimensions of the ten rectangles are;
10×20 + 10×18 + 10×16 + 10×16 + 10×14 + 10×12 + 10 × 10 + 10 × 8 + 10 × 6 + 10 ×4 = 1240 unit²
Part c.
To find the area with an infinite number of rectangles, we can use limits similar to integration;
Which gives;
![\int _{0}^{20}\left (20\cdot x - x^{2} \right )dx = \left [\dfrac{20}{2}\cdot x^{2} - \dfrac{x^{3}}{3} \right ]_{0}^{20} = \left [10\cdot x^{2} - \dfrac{x^{3}}{3} \right ]_{0}^{20}](https://tex.z-dn.net/?f=%5Cint%20_%7B0%7D%5E%7B20%7D%5Cleft%20%2820%5Ccdot%20x%20-%20x%5E%7B2%7D%20%20%5Cright%20%29dx%20%3D%20%5Cleft%20%5B%5Cdfrac%7B20%7D%7B2%7D%5Ccdot%20x%5E%7B2%7D%20-%20%5Cdfrac%7Bx%5E%7B3%7D%7D%7B3%7D%20%20%5Cright%20%5D_%7B0%7D%5E%7B20%7D%20%3D%20%5Cleft%20%5B10%5Ccdot%20x%5E%7B2%7D%20-%20%5Cdfrac%7Bx%5E%7B3%7D%7D%7B3%7D%20%20%5Cright%20%5D_%7B0%7D%5E%7B20%7D)
10×20^2 - (20^3)/3 = 4000/3 = 1333.3333
The equation of the line in point-slope form is equal to
The equation of the line in standard form is equal to
step 1
Find the slope m
Let
step 2
convert to standard form
Answer:
hkj
jkg
Step-by-step explanation:
Plz mark me brainliest.
The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.
<h3>
Inequality</h3>
Inequality is the non equal comparison of two or more numbers and variables.
Let x represent the number of wallpapers and y represent the number of cans.
He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:
x ≥ 30 (1);
y ≥ 20 (2)
Also:
32x + 28y ≤ 2240 (3)
Plotting the 3 equations using geogebra online graphing tool, the possible solution is:
(30, 20), (30, 46)
The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.
Find out more on Inequality at: brainly.com/question/24372553
