Response:
= 270 ⇒ Previous solution
Detailed breakdown:
* Given f(x) = 7 + 4x
* Given g(x) = 
* We aim to determine 
- Initially, let’s calculate 
∵ f(x) = 7 + 4x
∵ g(x) = 
∴ 
- Let’s perform division of the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is 
∴ (7 + 4x) ÷ 
- Now we will change the division sign to a multiplication sign and take the reciprocal of
the fraction following the division sign
∴ (7 + 4x) × 
∴
= 2x(7 + 4x)
∴
= 14x + 8x²
- Next, substitute x with 5
∴
= 14(5) + 8(5)² = 70 + 200 = 270
∴
= 270
In this scenario, the buying price decreases with a higher purchase quantity. However, the markup for the retail price remains steady at 80% of the buying cost. If we denote the price as x, then the retail price can be expressed as:
Retail price= x * (100%+80%)
Retail price= x * 180%=
Retail price= 1.8 x
The equation remains consistent across different ranges since the markup ratio is constant. Only the buying price varies depending on how many pairs of shoes are bought.
It exhibits a zero slope.
In the case of a horizontal line, the slope remains constant at 0 since there is no variation.
Answer:
12 pencils per package.
Step-by-step explanation:
Details provided:
Ethan purchased 4 packages of pencils.
Number of Packages = 4
Number of pencils shared with friend = 8 pencils
Pencils remaining = 40 pencils
∴Total Number of Pencils = Pencils given to friend + Pencils remaining = 
Total Pencils in each package = 
We can use a graphing tool to plot the <span> cosecant function
</span>check the attached image
the answer corresponds to option B