Answer:
V = x(24 - x)^2 cm^3.
Domain = (0, 24).
Step-by-step explanation:
a. Let the lengths of the sides of the squares be x cm.
Then the lengths of the sides of the base of the box will be (24 - 2x) cm.
The height of the box will be x cm.
So the required volume
= height * area of base
So V = x(24 - x)^2
b. The domain of this function is (0, 24).
9514 1404 393
Answer:
(d) (-2, 6)
Step-by-step explanation:
We can rewrite the function using vertex form.
f(x) = (x^2 +4x) +10
f(x) = (x^2 +4x +4) +10 -4 . . . . . . . add and subtract (4/2)^2
f(x) = (x +2)^2 +6
Compare to vertex form:
f(x) = (x -h)^2 +k
we see that (h, k) = (-2, 6) . . . . the vertex
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<em>Additional comment</em>
The value added and subtracted is the square of half the x-coefficient. Inside parentheses, that value "completes the square". Outside parentheses, that value ensures the overall function remains unchanged.
Hi there!
The answer is : 0.15p = p - 150
Here's why :
First store :
15% of p is the same thing as saying 15% times p and 15% is equal to 0.15, which explains the 0.15p
Second store:
p is reduced by 150, which explains the p - 150
Since the price of the both stores are equal, it explains why 0.15p is equal to p - 150
There you go! I really hope this helped, if there's anything just let me know! :)
Step 1:
Work out how much 2 loaves of bread was
1.45 x 2 = 2.9
Step 2:
Work out how much 3 cans of soup cost
0.5 x 3 = 1.5
Step 3:
Add up all the prices
1.5 + 2.9 + 2.5 = 6.90
Step 4:
Add the total of the items with the change
6.90 + 3.10 = 10.00
Step 5:
Answer
Heather gave the clerk a $10 bill
8
these extra words are added to pad my precise answer with additional words so there will be enough more words