Answer:
m=2 or y=2x+1
Step-by-step explanation:
first use the y2-y1/x2-x1 formula and then use y=mx+b formula
plug in 3 for y2 and 1 for y1
plug in 1 for x2 and 0 for x1
so ur slope is 2
_______________
for y=mx+b *extra info ig if u need it just incase*
i usually use the first point for this but u can use any one u want
plug in 0 for x
plug in 1 for y
and plug in 2 for m
1=2(0)+b
2*0=0
1=0+b
subtract o on both sides
1=b and b is ur y-intercept
y=2x+1
hope this helps
Answer:
(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}
(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values of the input - more than one output.
for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.
The frelation is not a function because:
When x = 1, y = +1 and y = -1.
(c) The set of data provided can be represented by the equation of a line of the form y = mx + b
The slope is:
m = 2
b = 5 - 2*3
b = -1
Then, the function is:
y = 2x-1
You can substitute any of the points shown in the equation and check that equality is satisfied, for example:
(11 , 21)
y = 2 (11) -1
y = 22-1
y = 21. The equation is satisfied. The same goes for the rest of the values.
Answer:
The matrix is not invertible.
Step-by-step explanation:
We are given the following matrix in the question:
Condition for invertible matrix:
A matrix is invertible if and only if the the determinant is non-zero.
We can find the determinant of the matrix as:
Since the determinant of the given matrix is zero, the given matrix is not invertible.
Answer: C
Step-by-step explanation:
You can write each term into a fraction.
becomes
When you multiply 2 terms with the same base, you add the exponents.
is also the same as
You get this because . When you pull out 5 os x, you are left with x³ on the inside.