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
-5=s/18
Pretend that s/18 is 1/18s
-5=1/18s
Multiply by 18/1 for both sides
-5(18/1)=1/18(18/1)s
Cross out 1 and 1, divide by 1 and then is one.
Cross out 18 and 18, divide by 18 and then is one.
s=-90
Answer: s=-90
Answer:
5 sqrt(10) = c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
9^2 + 13^2 = c^2
81 + 169 = c^2
250 = c^2
Take the square root of each side
sqrt(250) = c
sqrt(25) sqrt(10) = c
5 sqrt(10) = c
Answer:
0,4.2
Step-by-step explanation:
