Answer:
Step-by-step explanation:
A standard form equation is when it is set up
Ax + By = C.
6x + 2y = 4
A slope-intercept form equation is when it is set up y=mx+b.
Y = - 3x + 2
In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.
Example 1:
Change from standard to slope form
8x + 4y = 16
8x + 4y = 16 first subtract 8x
4y = -8x + 16 then divide all by 4
y = -2x + 4 slope form
Example 2:
6x + 3y = 21
6x + 3y = 21 subtract 6x
3y = -6x + 21 then divide all by 3
y = -2x + 7 slope form
Matrix A has 3 rows, 2 columns
Matrix B has 3 rows, 2 columns
The number of columns in matrix A (which is 2) does not match up with the number of rows in matrix B (which is 3).
So the matrix multiplication A*B is undefined. We cannot multiply the matrices.
B.) 4
just plug in for ex.
a. 2 ×(3+4)=2×7=14
b. 2×(4+4)=2×8=16
c. 2×(5+4)=2×9=18
d. 2×(6+4)=2×10=20
Number of students who secured first class in English only is 20
Step-by-step explanation:
- Step 1: Find the number of students who secured first class in English only.
Total number of students who secured first class in English or Maths, T = 80
Number of students who secured first class in Maths, M = 50
Number of students who secured first class in both English and Maths, EM = 10
⇒ Let the number of students who secured first class in English only be x.
Total students with first class, T = M + EM + x
⇒ 80 = 50 + 10 + x
⇒ 80 = 60 + x
∴ x = 80 - 60 = 20
