three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.
Question (1):The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4
Question (2):The given expression is:
-5 + 2x²<span> = -6x
</span>Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)
Question (3):Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.
Hope this helps :)
The probability of drawing a white ball is 1/4
Explanation:
When we solve for probability, we want to find out how many of something there is out of its total. So in this case, we want to see how many white balls there are out of the totals balls in the box. We already know that there are 10 white balls, so we need to figure out the total balls in the box, by adding up. 8 green balls + 16 red balls + 10 white balls + 6 pink balls = 40 balls in total. Now we know that the fraction would be 10/40, as there are 10 white balls out of 40 total balls. Finally, we simplify the fraction to 1/4, therefore the answer is B.
Answer:
Vanessa would draw about 70 quarters
The denominator of the raised fraction is what goes on the outside of the square root. So if you had 2 raised to 1/3, you'd put the 3 raised outside to the left of the radical and the 2 inside. They give the same answer, so if you know one, you can always play with the other until you get the same answer. My teacher told us in Calculus a funny/weird way to remember it is the "bottom (of the raised fraction) goes in the crack (of the radical)." Does this help??