Answer:
d = 1/2
Step-by-step explanation:
5/6 = 1/3 + d
~Find common denominators
5/6 = 2/6 + d
~Subtract 2/6 to both sides
3/6 = d
~Simplify
1/2 = d
Best of Luck!
<span>Sphere Surface Area = </span><span>4 • <span>π <span>• r²
radius = Sq Root (</span></span></span>Sphere Surface Area / <span>4 • <span>π)
</span></span><span>radius = Sq Root (16 PI / <span>4 • <span>π)
</span></span></span>radius = Sq Root (4)
<span>radius = 2
</span>
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span>Sphere Volume = <span>4/3 • <span>π <span>• 8
</span></span></span>Sphere Volume =
<span>
<span>
<span>
4.1887902048
</span>
</span>
</span>
* 8
Sphere Volume =
33.51 cubic inches
Answer:
<h2>x³ + x² - 3x - 3</h2>
Step-by-step explanation:
I'm assuming g*f means g times f, so you want to multiply the two functions together.
(x² - 3)(x + 1) Since the product is 2 binomials, use FOIL
= x²(x) + x²(1) - 3(x) - 3(1)
which simplifies to
<h2>x³ + x² - 3x - 3</h2>
Answer:
a. A customer earns 1 free night per 10 nights stayed.
Step-by-step explanation:
The missing function is:
f(x) = x/10
The missing options are:
<em>
a. A customer earns 1 free night per 10 nights stayed. </em>
<em>
b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.
</em>
<em>
c.A customer earns x – 10 free nights for every 10 nights stayed. </em>
<em>
d. A customer earns 10 free nights after x number of nights stayed.
</em>
The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:
f(10) = 10/10 = 1
which means 10 nights are equivalent to 1 free night.