Answer:
Cubic Function
Step-by-step explanation:
In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.
Answer:
B) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is less than 1.
Step-by-step explanation:
Given that Parallelogram PQRS is shown on the coordinate grid. Parallelogram PQRS is dilated with the origin as the center of dilation using the rule (x, y) → (0.75x, 0.75y) to create parallelogram P'Q'R'S'.
This means that sides of PQRS would be 0.75 times the sides of the original PQRS
Or PQRS will be larger
B) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is less than 1.
is the right answer
Answer:
Malcom's family travel 15 miles per hour faster than Theo's
Step-by-step explanation:
<em>See attachment for complete question</em>
Given
Malcom's Family:

To determine the equation of Theo's family, we refer to the attached graph.
From the graph:


First, we determine the slope, m:




Next, we determine equation for Theo's family using:



Add 50 to both sides


So, we have the following:
--- For Malcom's family
This implies that Malcom's family travel at 65 miles per hour
--- For Theo's family
This implies that Theo's family travel at 50 miles per hour
The difference between this rates is:


<em>Which implies that Malcom's family travel 15 miles per hour faster than Theo's</em>