Answer:
B.) 27ft
Step-by-step explanation:
The labeled points given: (5,18) and (1.5, 7.5)
Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3
A linear model:
y - 18 = 3(x - 5)
y - 18 = 3x - 15
y = 3x + 3
If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)
y = 3(8) + 3
y = 24 + 3
y = 27 ft
Answer:
B.) 27ft
Answer:
40951
Step-by-step explanation:
Using the principles of inclusion - Exclusion
Where C(n,r)=n!/(n-r)!r!
Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000
Total Number of elements in each pair including number repetition of sets is given as
=(1000) × C(5, 2) =10000
Number of elements in each triple of sets is given as
=(100) × C(5, 3) =1000
Number of elements in every four sets
=(10) × C(5, 4)=50
Number of elements in every one set
(1) × C(5, 5)=1
Therefore total number of unique elements=50000-10000+1000-50+1
=40951
Answer:
2:1
Step-by-step explanation:
Answer: Pink choice: y= -6x -2
Step-by-step explanation:
In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. <em>("co-efficient" of x in math talk)</em>
In the given equation, that is -6. (So that knocks out the first two choices)
The other thing to look at is the y-value of the given coordinate,(-1,4)
<em>(The y-value is the second number in the coordinate (x.y) is the pattern)</em>
and compare it to the the last number in the equations in the choices and Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because +4 in this equation is where the line crosses the y-axis. ("y-intercept" in math talk) So yellow choice is out!
The attachment shows what the graphs of the choices look like.
The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3) And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)
I hope the diagram and explanation helps you understand better. It can be confusing.