Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
Irrational numbers can not be precisely represented in decimal form because they are non-terminating, non-repeating decimals. Also they cannot be written as a fraction as well.
Answer:
its 3
Step-by-step explanation:
BRAINLIEST PLZ
Answer:
Approximately 3.8 seconds
Step-by-step explanation:
H(x)=-16x^2+60x+4
We want to find when the ball hits the ground, or where the zeros are
0 =-16x^2+60x+4
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
---------------------------
2a
-60 ±sqrt(60^2 -4*-16*4)
---------------------------
2(-16)
-60 ±sqrt(3600+256)
---------------------------
-32
-60 ±sqrt(3856)
---------------------------
-32
We want the positive value for time
-60-62.09669879
---------------------------
-32
3.815521837
Approximately 3.8 seconds
The given graph is a downward parabola.
The roots of the equation is -2 and -8, and the vertex is (-5,7).
The general root form of parabola will be,
a(x-(-2))(x-(-8))=a(x+2)(x+8).
The value of a can be determined from the coordinate of vertex,
Thus, the required quadratic is,
The value of f(-6) can be determined as,
Thus, the requried value of f(-6) is 6.22.
