Remark
The formula for a discriminate is b² - 4*a*c
a = 2
b = 1
c = - 3
So the discriminate =
D = (1)² - 4*2*(-3)
D = 1 - - 24
D = 25
Answer:
Tim has 75 pencils and 25 pens
Step-by-step explanation:
To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.
x+ y = 100
Now make one for the comparison of the two and solve for the constant.
x = 3y
x - 3y = 0
Now to solve the system, multiply the second equation by -1 and add them together.
x + y = 100
-x + 3y = 100
-----------------
4y = 100
y = 25
Now that we have the number of pens, find the number of pencils using an equation.
x + y = 100
x + 25 = 100
x = 75
Answer:
2.77777778
2/3 cubed is 0.222222222 and 3-2/3^2 is 2.77777778
Answer:
5 units.
Step-by-step explanation:
In order to find the distance between the line y = -2x + 1 and the point (-4, 4), we need to find the position of the line at x = -4. Shortest distance between two objects is a straight line, right?
So y = -2(-4) + 1 = 9; (-4, 9).
Finding the distance between (-4, 4) and (-4, 9) gives us the answer of 5.
