Answer:
- greater area: A
- no, B has the greater volume
Step-by-step explanation:
The relevant area and volume formulas are ...
A = 2(LW +H(L +W))
V = LWH
When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.
Figure A has the larger area.
Figure B has the larger volume.
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<em>Additional comment</em>
The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)
Answer:
<u>A</u>
Step-by-step explanation:
Taking c = 1 :
- x² + 2x + 1
- x² + x + x + 1
- x(x + 1) + 1(x + 1)
- (x + 1)(x + 1)
- (x + 1)² ⇒ Perfect square trinomial
Step-by-step explanation:
Start by finding (fog)(x)
To find this function, substitute x=
x−1
4
That is g(x) into f(x)
⇒(f∘g)(x)=(
x−1
4
)
2
−2(
x−1
4
)+5
=
(x−1)
2
16
−
x−1
8
+5
Now substitute x=3
⇒(f∘g)(3)=
(3−1)
2
16
−
3−1
8
+5
=
4
16
−
2
8
+5=4−4+5=5.
Hope it helps:)
Answer:
-7
Step-by-step explanation:
2x+3=x-4
Let's start by subtracting 3 from both sides
2x=x-7
Now, subtract x from both sides
x=-7
Let's plug it in to make sure!
2(-7) +3= (-7)-4
-11=-11
20 medium and large pumpkins
m ... number of medium pumpkins
l ... number of large pumpkins
20 = m + l
20 = m + (m + 6)
20 = 2 * m + 6
2 * m = 20 - 6
2 * m = 14
m = 7 medium pumpkins
l = 20 - 7 = 13 large pumpkins
Result: Julio bought 13 large pumpkins.
