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 :
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Answer:
1/15
Step-by-step explanation:
This is probably too late but I'll do it anyway.
There are 10 cards in all.
of the 10, 3 are green.
So your chance of drawing the first green is 3/10
Now you have 9 cards in total left.
Two of them are green
Your chance of drawing a green card again is 2/9
Your total chance of drawing 2 green cards is
2/9 * 3/10 = 6/90
2/9 * 3/10 = 1/15
Answer:
Permutation
Step-by-step explanation:
Since we are talking about passwords the order of the letters matters, i.e, the pasword UpT is different to the pasword pUT. Therefore, the problem involves all the permutations of 33 letters, from the given letters, where no repetitions of letters are allowed.
Answer:
15 gallons of paint
Step-by-step explanation:
5 x 3 = 15
equal groups !
Answer:
$9,960
Step-by-step explanation:
249000 x 0.4 = 9960
