Knowing that x varies directly with y, we know the basic skeleton of the equation is
y = mx.
To find
m, plug in the known coordinate
(8,10), where the
x-coordinate is
8 and the
y-coordinate is
10.

Then, plug in m to the equation to get
y = (5/4)x.
Finally, plug in the y-coordinate
18 to the equation and solve for x!

Your exact answer is
x = 72/5. However, if your teacher prefers decimals, then
x = 14.4Hope this helps!
Answer:
ln(125x
)
Step-by-step explanation:
Answer:
The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is
x - 12 ≥ 40.
Step-by-step explanation:
Let us represent the number of bags of popcorn as p
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.
We have the equation:
$3 × p ≥ $120
3p ≥ $120
p ≥ 120/3
p ≥ 40 bags
He must sell at least 40 bags to make a profit
He has sold $36 worth of popcorn today.
1 bag is $3
Hence, he has sold
$36/$3 = 12 bags of popcorn
Which inequality can be used to find Jeff still needs to sell today to make a profit?
This equality is given as:
x - 12 bags ≥ 40 bags
x - 12 ≥ 40
x ≥40 - 12
x ≥ 28 bags
She still need to sell 28 more bags of popcorn.
Answer:
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or

Step-by-step explanation:
Given
![f(x) = \sqrt[3]x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5Dx)
Required
Write a rule for g(x)
See attachment for grid
From the attachment, we have:


We can represent g(x) as:

So, we have:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
For:

![2 = n * \sqrt[3]{-1}](https://tex.z-dn.net/?f=2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D%7B-1%7D)
This gives:

Solve for n


To confirm this value of n, we make use of:

So, we have:
![-2 = n * \sqrt[3]1](https://tex.z-dn.net/?f=-2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D1)
This gives:

Solve for n


Hence:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or:
