First we write the variables already defined:
m = the number of magazine subscriptions sold
n = the number of newspaper subscriptions sold
We now write the system of inequations based on the following facts:
"he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
23m + 54n> 642
"I have expectations to sell at least 10 subscriptions per week"
m + n> = 10
Answer:
A system of inequalities that models the given situation is:
23m + 54n> 642
m + n> = 10
Answer:
Step-by-step explanation:
Do the x-axis then the y-axes thats all i know sorry if i could not help that much
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
Step-by-step explanation:
interchanging the variables
x = 5y^2 + 10
5y^2 +10 = x
5y^2 = x - 10
dividing by 5
5y^2/5 = x/5 + -10/5
y^2 = x/5 + - 10/5
y^2 = x/5 - 2
y = 5 (x-10) 0/5 (sq.rt)
g(5x^2 + 10) = 5x/5
g(5x^2 + 10) = x
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.
The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8
To find the mean of these numbers, add then together then divide by the total amount of numbers.
This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2
An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5
The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.
Hope this helps!
Answer:
Step-by-step explanation:
This right triangle is on a grid.
The area is the height * base/2
The base is on a line segment parallel to the x axis which is 6 squares.
The height is on a line segment parallel to the y axis which is 2 squares
The area is the height * base /2
Area = 6 * 2 /2 = 12/2 = 6 square units.
