<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>
Answer: <em>Multiplying these factors gives the approximate volume of the original body</em>
Step-by-step explanation:
<em>The given convex body can be approximated by a sequence of nested bodies, eventually reaching one of known volume (a hypersphere), with this approach used to estimate the factor by which the volume changes at each step of this sequence.</em>
Answer:17
Step-by-step explanation:
5w + 2
5(3) + 2
15 + 2
17
Answer: 1/12 of the cake.
Step-by-step explanation:
First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.
Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.
Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.
Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.
Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12
A) value is dependent and time is independent
b) domain is x between 0 and 5 inclusive
c) the value at x = 0 or 1800
d) 1800 - 360 (2) = 1080 is the value after 2 years
e) graph the points (0, 1800); (2, 1080) and draw a line between them
f) 360x = 1800
× = 5
it will be 0 after 5 years