Answer:
6.33... and 0.333...
Step-by-step explanation:
The quadratic formula is
.
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.
We will now solve for the plus and the minus.
The plus,,,
and the minus...
The number you are in search of is -52.
To find this, we first have to write the equation that goes along with the sentence. For this, we need to take it one term at a time.
Negative sixteen (-16) plus (+) the quotient of a number and -4 (x/-4) is (=) -3.
Now put the parenthesis together
-16 + x/-4 = -3
Now we can solve this for x.
-16 + x/-4 = 3 ---> add 16 to both sides
x/-4 = 13 ----> multiply both sides by -4
x = -52
Answer:
He'll need 288 cups to make a waffle on his 24 foot diameter circular griddle.
Step-by-step explanation:
In order to find out how much batter Danny needs we first need to compute the area of the first pans, since it is a circular pan their area is given by A = 2*pi*r. So we have:
Area of the first pan = 2*pi*(6/2) = 18.84 square inches
Area of the second pan = 2*pi*(24/2) = 75.36 square foots
We now need to convert these values to be in the same unit, we'll convert from square foots to square inches:
Area of the second pan = 75.36 * (12)^2 = 10851.84 square inches
We can now use a proportion knowing that the batter and the thickness of the waffles are the same. If 0.5 cup of flour can make a waffle on 18.84 square inches then x cup of flour can make a waffle on 10851.85 square inches. Writing this in a mathematical form, we have:
0.5/x = 18.84/10851.84
18.84x = 0.5*10851.85
x = 10851.85*0.5/18.84 =288 cups
Since y=mx+b is the slope-intercept form of a line, where m=slope and b=y-intercept, we can see that:
The y-intercept is 5 (technically the point (0,5))
The x-intercept occurs when y=0 so:
2x+5=0
2x=5
x=2.5
So the x-intercept is the point (2.5, 0)
