Answer:
Axis of Symmetry is x = 2
Vertex is (2, -9)
X Intercepts are (5, 0) and (-1, 0)
Step-by-step explanation:
Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a
a=1
b=-4
c=-5
--4/2(1) = 2
Plugin to find the y value of the vertex.
2^2-4(2)-5=y
4-8-5=y
y = -9
The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2
Factor the equation to put into intercept form.
(x-5)(x+1) = y
The equation can be FOIL-ed to get back to standard form.
Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.
For (x-5) your intercept is (5, 0)
For (x+1) your intercept is (-1, 0)
The x intercepts are where the parabola will cross the x axis on the graph.
Answer:
Requires approximately 129 buckets
Step-by-step explanation:
Volume of the tank=200x77x32
Volume of the paint bucket = π
x h= π x 8 x 8 x 19
(200x77x32) ÷( π x 8 x 8 x 19)= 492800/3,820.177=128.999
Answer:
( 2,5)
Step-by-step explanation:
The solution is where the two graphs intersect
The graphs intersect at x = 2 and y = 5
( 2,5) is the solution to the system
Answer:
y = 2x -5
Step-by-step explanation:
Given points: (0,-5) (1,-3)
(x1, y1) = (0,-5)
(x2, y2) = (1,-3)
Calculate the slope:
m = (y2 - y1)/(x2 - x1)
m = [-3 - (-5)] / [1 - 0]
m = (-3 + 5) / 1
m = 2/1 = 2
Next, the y-intercept is the value of y when x = 0. One of your given points is the y-intercept, (0, -5). The y-coordinate is the value of b.
Therefore, the linear equation is: y = 2x -5
Please mark my answers as the Brainliest, if you find this helpful :)
<h2>
Answer:</h2>
The expression which is equivalent to the following complex fraction is:
<h2>
Step-by-step explanation:</h2>
We are given a expression in terms of two variables x and y as follows:
Now, on taking least common multiple in the numerator as well as in the denominator we have:
which on further simplifying is:
