11 = 11*1
3=3*1
least common multiple = 3*11*1 = 33
33 days from today he will practice the guitar and the trombone
Answer:
Plot and connect (5,4), (3,0) and (7,0).
Step-by-step explanation:
This is in factored form and can be graphed directly from the equation. The equation shows the x-intercepts.
The x-intercepts are found by solving for x using the zero product rule.
(x-3)=0 so x = 3
(x-7) = 0 so x = 7
The intercepts are (3,0) and (7,0). Plot the points. The vertex will occur halfway between these points. 7-3 / 2 = 4/2 = 2. This means the axis of symmetry is at x = 5 and this is the x-coordinate of the vertex too.
Substitute x = 5 into the equation and solve for y.
-(5-3)(5-7) = -(2)(-2) = 4
The vertex is (5,4). Plot it and connect the points.
Answer:
That can be re-written:
x^2 + 5x -8 = 0
We use the Quadratic Formula
a=1
b = 5
c = -8
x = [-b +- sq root (b^2 - 4ac) ] / 2a
x = [-5 +- sq root (25 - - 32)] / 2
x1 = [-5 + sq root (57)] / 2
x1 = 1.27491722
x2 = [-5 - sq root (57)] / 2
x2 = -6.2749172176
Step-by-step explanation:
So the first thing you want to do when faced with two fractions with different denominators (when subtracting or adding) is to make the denominators the same. So for this equation they would turn out to be p+10/16=15/16 (because 16 is the lowest common denominator, 8 times two) so then you want to subtract 10/16 from 15/16 to isolate the variable (p) which would get:
p=5/16
This is the final answer because it cannot be simplified.
Hope this helps!
The answer is in the sentence
