f(x) = 4x + 3
That's one-to-one, a linear function that will give a different f(x) for each different x.
For the inverse let's swap x and y and solve for y
x = 4y + 3
x - 3 = 4y
y = (x- 3)/4
That's the inverse,
Answer: (x- 3)/4, second choice
The domain and range of the inverse is all real numbers. It's two lines; I'll leave the graphing to you.
Break it down into 2-Dimensional shapes. Then add the areas together.
From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²
total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²
For the volume; break it up into 3-dimenssional shapes and add the volumes together.
From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³
Total volume = 384 m³ + 144 m³
= 528 m³
The answer to this is x = 2
Let distance between warehouse and retail outlets be x miles.
We are told that for a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven. The apparel company has a budget of less than $950 per trip.
Upon multiplying 1.25 by x we will get delivering charges for x miles as 1.25*x. Total delivery charges also include $250 per one-way trip, therefore, 250 will be our constant.
Our total delivery charges for x miles will be,
The apparel company should service those outlets for whom delivery cost will be less than $950.
Therefore, an inequality representing apparel company's profit will be .
