Answer:
Yes
Step-by-step explanation:
Lisa and Frank type at the same rate.
They both type 1 page every six minutes.
Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get
And Frank types 5 pages ever 30 minutes, when we divide we get
Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
Answer:
The roots are 0, 3 and 4.
Step-by-step explanation:
x^3-7x^2-12x = 0 Take out x:
x(x^2 - 7x - 12) = 0 Factor the expression in the brackets:
x(x - 3)(x - 4) = 0
x = 0 or x - 3 = 0 or x - 4 = 0, so
The roots are 0, 3 and 4.
Answer:
(2, 0)
Step-by-step explanation:
First, find how the other point was transformed:
The x coordinate increased by 1, and the y coordinate increased by 4.
Now, do these same transformations to the other point, (1, -4)
x coordinate: 1 + 1 = 2
y coordinate: -4 + 4 = 0
So, the new point is (2, 0)
