URGENT WILL MARK BRAINLIEST
1 answer:
Answer:
1. Equation:
2. Total pay if Henry sells 27 copies:
Step-by-step explanation:
1. The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
According to the information given in the exercise, his base salary is $2,100. So you can identify that:
Since he makes an additional of $90 for every copy of he sells, you can identify that:
Therefore, the equation that represents this situation is:
2. If he sells 27 copies, then:
Substituting this value into the equation, you get that his total pay would be:
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<h3>Answer: 15</h3>
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Explanation:
The order doesn't matter. A group like {A,B,C} is the same as {B,A,C}.
All that matters is the overall group rather than the positioning of the members.
We'll use the nCr combination formula since order doesn't matter.
The value of n is unknown, but we know that r = 3 members are to be selected.
Let's pick a value for n at random. Let's say n = 10.
Plug n = 10 and r = 3 into the nCr formula below.
Unfortunately we don't reach 365 or larger.
Let's try n = 11
We're still under our target. The good news is that the nCr value is increasing.
So the idea is to do trial and error with various values of n. Keep incrementing n until nCr = nC3 is equal to 365 or larger.
Here's a table of values where r = 3 the entire time
The nCr values are also found in Pascal's Triangle. Each of those values are the fourth entry of each row.
When n = 14, we have nCr = 364 which is very close. We're one short unfortunately.
So we have to go for <u>n = 15</u> instead. This makes the nCr value well over 365 of course, but it guarantees that you'll have plenty of trios to choose from such that no group of three is repeated. Unfortunately some trios will be left out.
Answer:
Step-by-step explanation:
A car traveled at a constant speed as shown in the graph.
Distance traveled is on the y-axis and duration of travel on the x-axis.
Point A(3.5, 210) shows,
Distance traveled = 210 miles
Time to travel = 3.5 hours
So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.
Slope of the line = speed of the car =
=
= 60 mph
Now we will find the speed of the car at another point B(1, 60).
If the speed of car is same as the point B as of point A, point B will lie on the graph.
Speed of the car at B(1, 60) =
=
= 60 mph
Hence, we can say that point B(1, 60) lies on the graph.