Answer:
D it
Step-by-step explanation:
We have two equations, A quadratic and a linear equation.
The domain of a linear equation and quadratic equation is all real numbers but since it dealing with time we must make sure the roots or x-intercepts is positive.
Looking at the quadratic equation, we can use the discramnt formula to see if all roots are positve.



The discramnt is greater than zero so there is two distinct real roots. So let check if they are positve
If you graph the equation, it intercepts at two positve roots so it is D
Answer:number of boxes = 60
Volume of box = side × side × side.
= 3 × 3 × 3
= 27 cu. cm.
Volume of carton = length × breadth × height.
= 15 × 9 × 12
= 1620 cu. cm.
Number of boxes = Volume of carton/Volume of each box.
= 1620/27
= 60
Therefore, number of boxes = 60.
Step-by-step explanation:Volume of box = side × side × side.
= 3 × 3 × 3
= 27 cu. cm.
Volume of carton = length × breadth × height.
= 15 × 9 × 12
= 1620 cu. cm.
Number of boxes = Volume of carton/Volume of each box.
= 1620/27
= 60
Therefore, number of boxes = 60.
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
A graphing calculator provides a quick and easy way to find the solution.
_____
There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:
The intercepts of the first equation are ...
- x-intercept = 26/4 = 6 1/2
- y-intercept = -26/3 = -8 2/3
So the graph of it will form a triangle with the axes in the 4th quadrant.
The intercepts of the second equation are ...
- x-intercept = 11/3 = 3 2/3
- y-intercept = 11/2 = 5 1/2
So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.
The only 4th-quadrant answer choice is (5, -2).
Answer:
There will be 4 blue marbles
Step-by-step explanation:
Yellow to blue marbles is in a ratio of:
5:10
the representative sample is:
2:x
simplee cross multiplication can be aplied
5x = 2*10
5x = 20
divide both sides by 5
x = 4
there should be four blue marbles