Answer:
In order, your numbers are
22, 45, 75, 89, 89, 95, 100
The median is the number that is in the middle numbers of all your numbers. The median is 89, since it is in the very middle.
The mean is all your numbers added together and then divided by how ever many numbers you have. 22 + 45 + 75 + 89 + 89 + 95 + 100 = 515. Since you have 7 numbers, you would divide 515 by 7, which equals 73.5. The mean is 73.5.
The mode is the number that has the most numbers(not sure how to word it) Since 89 has two of the numbers, and no other numbers have duplicates, your mode is 89.
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - -
</h3>
➷ Hank charges $75 for a visit plus $45 per hour.
Therefore, for an hour, Hank would charge $120 as 75 + 45 = 120
Mr Fixit:
As it is for one hour, we look at the first function because the time is 'less than or equal to an hour'.
Mr Fixit would charge $95 for an hour.
Therefore, Hank charges $25 more than Mr Fixit.
➶Hope This Helps You!
➶Good Luck :)
➶Have A Great Day ^-^
↬ Hannah ♡
Answer:
A)
y^2-6y = 0
or, y(y-6) = 0
or, y = 0 or y = 6
B)
n^2+5n+7 = 7
or, n^2+5n+7-7 = 7-7 ( Subtracting 7 from both sides)
or, n^2+5n = 0
or, n(n+5) = 0
or, n=0 or n= -5
C)
2t^2-14t+3 = 3
or, 2t^2-14t = 0
or, 2t(t-7) = 0
or, t=0 or t=7
D)
1/3x^2+3x-4 = -4
or, 1/3x^2+3x = 0
or, 1/3x(x+9) = 0
or, x=0 or x= -9
E)
Zero is a common solution to each of the equations. This is because each of the equations had a variable outside the parenthesis with an operation of multiplication.
THANK YOU FOR READING.
