Answer:
We can call the numbers x and x + 1. Then we can write:
x + x + 1 = 113 which simplifies to 2x + 1 = 113.
Answer:
$4.8625
Step-by-step explanation:
$3.89 + 20%
$3.89 = 80%
$3.89 × ¼ = $0.9725
$0.9725 × 5 = $4.8625
Answer:
y = 2x+7
Step-by-step explanation:
This is equation is in the form
y= mx+b where m is the slope and b is the y intercept
y =2x + ? means we are looking for the y intercept which is the value of y when x is zero
From the table, x=0 and y=7
y = 2x+7
Answer:
P(x) = 0.50x - 5
Step-by-step explanation:
x = number of glasses sold
She charges $0.50 per glass, so her revenue is
R(x) = 0.50x
which is the amount of money she brings in
Her cost function is
C(x) = 5
assuming she only spends that $5.00 on the supplies mentioned.
The profit P(x) is the difference of revenue and cost
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 0.50x - 5
Cone details:
Sphere details:
================
From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
===========================




To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>

<u>apply chain rule</u>

<u>Equate the first derivative to zero, that is V'(x) = 0</u>




<u />
<u>maximum volume:</u> <u>when h = 40/3</u>


<u>minimum volume:</u> <u>when h = 0</u>

