When you are rounding numbers, if the integer to the right is <5, then you keep your rounding number. If it is >5, then you add 1 place value to your rounding number.
Therefore, if you are trying to round 4.125 to the nearest whole number, you are trying to round it to the ones place, or where the 4 is.
Because 1<5, 4.125 rounded to the nearest whole number is 4.
We know that the points at which the parabola intersects the x axis are
(-5,0) and (1,0)
So the extent between these two points would be the base of the triangle
lets find the length of the base using the distance formula
the base b=6
We will get the height of the triangle when we put x=0 in the equation
y=a(0+5)(0-1)
y=-5a
so height = -5a (we take +5a since it is the height)
We know that the area of the triangle =
× 6 × (5a) = 12
15a=12
a=
Answer:
y =
Step-by-step explanation:
Let the total numbers are n.
If the average of y numbers is x then we can form an equation
⇒
⇒ n = --------(1)
Now 30 is added to the set of numbers then average becomes (x - 5)
⇒
⇒ (n + 1) =
⇒ n = - 1 ----- (2)
Now we equate the values of n from equation 1 and 2
= - 1
y(x - 5) = x(y + 30) - x(x - 5) [ By cross multiplication ]
xy - 5y = xy + 30x - x² + 5x
xy - xy - 5y = 35x - x²
-5y = 35x - x²
x² - 35x = 5y
y =
396/x - 10 = -22
396/x = -22 + 10
396/x = -12
X = -396/12
X = -33