Answer:
The vertex and the axis of symmetry in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola written in vertex form is equal to
where
a is the leading coefficient
(h,k) is the vertex of the parabola
and the equation of the axis of symmetry is equal to the x-coordinate of the vertex
In this problem
we have
This is a vertical parabola written in vertex form open upward
The vertex is a minimum
where
the vertex is the point (5,-7)
the x-coordinate of the vertex is 5
so
the equation of the axis of symmetry is equal to
The graph in the attached figure
Answer:
9 + (-4) & 9 - 4
Step-by-step explanation:
Answer:
-1, 4+i, 4-i
Step-by-step explanation:
x^4- 6x^3 + 2x^2 + 26x + 17
Using the rational root theorem
we see if 1, -1, -17 or 17 are roots
Check and see if 1 is a root
1^4- 6(1^3) + 2(1^2) + 26(1) + 17=0
1-6+2+26+17 does not equal 0 1 is not a root
-1
1^4- 6(-1^3) + 2(1^2) + 26(-1) + 17=0
1 +6 +2 -26+17 = 0
-1 is a root
Factor out (x+1)
(x+1) ( x^3-7x^2+9x+17)
Using the rational root theorem again on x^3-7x^2+9x+17
Checking -1
-1 -7 -9 +17=0
-1 is a root
(x+1) (x+1) (x^2-8x+17)
Using the quadratic on the last
8 ±sqrt(8^2 - 4(1)17)
--------------------------------
2
gives imaginary roots
4±i
Answer:
Step-by-step explanation:
Answer:x = 1
y = 1
Step-by-step explanation:
The given system of simultaneous equations is expressed as
3x - 5y = - 2 - - - - - - - - - - - - 1
2x + y = 3 - - - - - - - - - - - - - 2
The first step is to decide on which variable to eliminate. Let us eliminate x. Then we would multiply both rows by numbers which would make the coefficients of x to be equal in both rows.
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x - 10y = - 4
6x + 3y = 9
Subtracting, it becomes
- 13y = - 13
y = - 13/- 13 = 1
The next step is to substitute y = 1 into any of the equations to determine x.
Substituting y = 1 into equation 2, it becomes
2x + 1 = 3
2x = 3 - 1 = 2
x = 2/2 = 1
