Answer: it has no solution
Step-by-step explanation:
8x - 2y = 1 ..................... equation 1
-4x + y = 3 ...................... equation 2
solving the system of linear equation by substitution method . From equation 2 , make y the subject of the formula.
y = 3 + 4x .......................... equation 3
substitute equation 3 into equation 1 .
8x - 2(3 + 4x ) = 1
8x - 6 - 8x = 1
8x- 8x - 6 = 1
-6 = 1
this means that the equation has no solution
Yep that's the right answer man great job!
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Answer:
The ball reaches a height of 29.25 ft after 1.125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(36)/2(-16)
-36/-32
1.125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 36t + 9
h = -16(1.125)^2 + 26(1.125) + 9
29.25 feet
Answer:
5/4
Step-by-step explanation:
(y₂ - y₁) / (x₂ - x₁)
(4,9) (-8, -6)
plug in
(-6 - 9) / (-8 - 4)
solve within parentheses
-15/-12
simplify
5/4
