F(x)=x^3 is the cubing function. Its graph begins (originates) in Q III, goes thru the origin (0,0), and continues to grow as it travels through Q I. Draw it.
The <span>graph of f(x-4) has exactly the same shape. The only difference here is that the graph of f(x) = x^3 has been moved 4 units to the right, so that its horiz. intercept is (4,0).</span>
Answer:
36
Step-by-step explanation:
4 1/2 in improper form is 9/2.
9/2 ÷ 1/8 = 36
Hope this helps, thank you !!
Answer:
10 cm
Step-by-step explanation:
If we assume that DC is parallel to AB, then triangle DOC is similar to triangle AOB.
However, even with this assumption, there is not enough information in the diagram to solve for DO. We would also need to know the length of CO. Then we could write a proportion:
DO / (DO + 20) = CO / (CO + 24)
Edit: OD is 2 cm shorter than OC. If we call x the length of OD, then the length of OC is x+2.
Putting this into our proportion:
x / (x + 20) = (x + 2) / (x + 2 + 24)
x / (x + 20) = (x + 2) / (x + 26)
Cross multiply:
x (x + 26) = (x + 2) (x + 20)
Distribute:
x² + 26x = x² + 20x + 2x + 40
x² + 26x = x² + 22x + 40
4x = 40
x = 10
So the length of DO is 10 cm.
Answer:
5083
Step-by-step explanation:
6^3 + 5(8 + 15)
Simplify the bracket first
6 x 6 x 6 + 5 (23)
216 + 5 (23)
221 (23)
221 x 23 = 5083
Answer:
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544