Yo sup??
y=(x+4)(x-2)
to find the x intercept put y=0
0=(x+4)(x-2)
so either x=-4 or x=2
Therefore the graph intersects the x axis at -4 and 2
Lenght of x intercept=|-4-2|=6 units
y=(x+4)(x-2)
=x^2+2x-8
This is an upward opening parabola
To find the coordinates of the vertex we can apply the formula
(-b/2a,-D/4a)
b=2
a=1
D=b^2-4ac
=4-4*1*(-8)
=4+32=36
Vertex=(-2/2*1,-36/4*1)
=(-1,-9)
Hope this helps.
Answer:
c) $615
Step-by-step explanation:
The expression used to determine how much is the charge for the customer after the job is
where
h is the number of hours the job took
c is the number of cans of paint used during the job
In this problem:
c = 3 (the painter used 3 cans of paint)
h = 15 (the painter took 15 hours for the job)
So substituting these values into the equation for p, we find the total value that the painter charged for the job:
So, the correct answer is
c) $615
Answer:
x = - 12, y = - 9
Step-by-step explanation:
Given
- 4 + 3i - x + yi = 8 - 6i
Simplify left side by collecting like terms and equate like coefficients with the terms on the right side, that is
- 4 - x + i(3 + y) = 8 - 6i, thus
3 + y = - 6 ( subtract 3 from both sides ) ← equating imaginary parts
y = - 9, then
- 4 - x = 8 ( add 4 from both sides ) ← equating real parts
- x = 12 ( multiply both sides by - 1 )
x = - 12
First notice that
<em>x</em> ² + 5<em>x</em> + 6 = (<em>x</em> + 3) (<em>x</em> + 2)
so you can rewrite everything with a common denominator:
5 / (<em>x</em> ² + 5<em>x</em> + 6) + 7 / (<em>x</em> + 2) = 6 / (<em>x</em> + 3)
5 / (<em>x</em> ² + 5<em>x</em> + 6) + 7 (<em>x</em> + 3) / ((<em>x</em> + 2) (<em>x</em> + 3)) = 6 (<em>x</em> + 2) / ((<em>x</em> + 3) (<em>x</em> + 2))
5 / (<em>x</em> ² + 5<em>x</em> + 6) + 7 (<em>x</em> + 3) / (<em>x</em> ² + 5<em>x</em> + 6) = 6 (<em>x</em> + 2) / (<em>x</em> ² + 5<em>x</em> + 6)
(5 + 7 (<em>x</em> + 3)) / (<em>x</em> ² + 5<em>x</em> + 6) = 6 (<em>x</em> + 2) / (<em>x</em> ² + 5<em>x</em> + 6)
As long as <em>x</em> ≠ -3 or <em>x</em> ≠ -2, the denominators are never zero, so we can cancel them and be left with
5 + 7 (<em>x</em> + 3) = 6 (<em>x</em> + 2)
Solving for <em>x</em> is easy from here:
5 + 7<em>x</em> + 21 = 6<em>x</em> + 12
7<em>x</em> - 6<em>x</em> = 12 - 5 - 21
<em>x</em> = -14
