Let's call the width
. Since the length is three more than the width, it is
.
The area (which we know to be 70) is given by the multiplication of width and length:

To solve this equation, you can use the usual quadratic formula: given an equation
, the two solutions are

which in your case becomes

So, two solutions are

Since we can't accept a negative length, we only accept the second solution.
So, the dimensions are 7 and 10
Answer:
minimum value : -1
Step-by-step explanation:
y= 2x^2- |0x+1|
y=2x^2-1
0x has no value they're just putting that in there to trip you up. Also you can view the graph on Desmos graphing calc online to see the minimum value of this function.
x is positive so parabola opens up: meaning minimum value
y-intercept is (0, - 1) so minimum value = -1
Answer:
Runner-up: $15,000
Winner: $75,000
Step-by-step explanation:
Let's create an equation for this problem.
Let x=the amount the runner-up receives
Let 5x=the amount the winner receives
Then,
x+5x=90,000
6x=90,000
x=15,000
5x=75,000