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:
Hello!
After reading the question you have provided I have come up with the correct numerical expression:
4x5-1
Step-by-step explanation:
To come up with this solution you need to keep in mind some of the terminoloy being used.
The word "subtract" comes from the action of subtraction
The word "product" comes from the action of multiplication
Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".
So you get the first part being 4x5
Then, you add in the last part of "subract 1" from the "product of 4 and 5":
4x5-1
<em>Remember to keep in mind the rule of "PEMDAS"</em>
You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.
Answer:
T' 
Step-by-step explanation:
See the diagram attached.
This is a unit circle having a radius (r) = 1 unit.
So, the length of the circumference of the circle will be 2πr = 2π units.
Now, the point on the circle at a distance of x along the arc from P is T
.
Therefore, the point on the circle at a distance of 2π - x along the arc from P will be T' , where, T' is the image of point T, when reflected over the x-axis. (Answer)
Answer:
a red
Step-by-step explanation:
A bag contains 7 red marbles, 5 blue marbles, and 2 green marbles. What is the probability of choosing a blue marble when one marble is drawn?
The equation which is used to determine x, the width of the window is, 
. Option B shows the correct expression for width x of the window.
<h3>
What are length and width?</h3>
Length is describing how long is the object. The width is defined as how wide is the object.
Given that the width of the window is 4.9 feet. The length is given as 0.6 feet less than 2.5 times its width.
The height of the window is given as,
The other height of the window is given as,
When equating both equations, we get,
Therefore, an equation which is used to determine x, the width of the window is, . Option B shows the correct expression for width x of the window.
To know more about the length and width, follow the link given below.
brainly.com/question/3133832.
