The answer to the f(x) is D f(x) = 3x + 3 because (x,y) you input x into the equation and you get y, if that makes sens, u said u need it now so I won't go into it too much.
Answer:
Mandy sold 250 pancakes and 50 waffles.
Step-by-step explanation:
From the information given, you can say that the sum of pancakes and waffles is equal to 300:
x+y=300
Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:
3x+y=800
You have the following equations:
x+y=300 (1)
3x+y=800 (2), where:
x is the number of pancakes she sold
y is the number of waffles she sold
Now, you can solve for x in (1):
x=300-y (3)
Then, you can replace (3) in (2):
3(300-y)+y=800
900-3y+y=800
900-800=2y
100=2y
y=100/2
y=50
Finally, you can replace the value of y in (3) to find x:
x=300-50
x=250
According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.
Answer:
![\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-5%20%20%26%7C12%5C%5C4%26-2%20%20%26%7C15%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:
- a column for the values of x in each equation
- a column for the values of y in each equation
- a column for the independent values of each equation
since our system of equations is:
we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:
![\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26%26%5C%5C4%26%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:
![\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-5%26%5C%5C4%26-2%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:
![\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-5%2612%5C%5C4%26-2%2615%5C%5C%5Cend%7Barray%7D%5Cright%5D)
usually there is a line separating the columns for the values of x and y, and the independent values:
this is the matrix of the system of equations
Answer:
A=32
B=3
C=7
Step-by-step explanation:
Caitlyn surveyed 100 students to find out their favorite class. There were 29 students who enjoyed biology and 35 students who enjoyed English. There were 12 students who did not enjoy Biology, English, or Math.
29 like Biology so to find B you subtract. 29-6-5=3
35 like English so to find C 35-3-5-20=7
Total of 100 students subtract what you know to find A.
100-15-6-5-3-7-20-12=32
