The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
<h3>What is vertex of parabola?</h3>
The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
More about vertex :
brainly.com/question/86393
#SPJ1
Length x width = formula of finding the area of a rectangle
2 3/7 x 2 4/5 = 6 4/5 (6.8)
The area of the rectangle is 6 4/5 / 6.8
Answer:
850
Step-by-step explanation:
Answer:
Blue circle=9π-28.284
Yellow circle=23/2π-36.128
Step-by-step explanation:
the circumfrence is worked out using the equation =pi x diameter
hope this helps ;) xx
The solution would be like this for this specific problem:
Area of Circle = 16(π)
= 16 * 3.14
= 50.24
Area of Square = 64
= 64 – 50.24
= 13.76
Area of Square but not on the circular board = 13.76 / 64
= 0.215
Percentage value = 0.215 * 100%
= 21.5%
So, <span>to the nearest percent, the probability that the dart lands
inside the square but not on the circular dartboard is 21.5%.</span>
