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:
Step-by-step explanation:
Alvin takes pictures with his smartphone.
Of the pictures 
are animals.
of the animals are dogs.
To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:
<u>Another way</u> to solve this question:
Let the number of all pictures be 24 (divisible by both 4 and 6).
Then the number of pictures with animals is
and the number of pictures with dogs is
Hence, the fraction of pictures with dogs of all pictures is
Answer:
There is no picture below?
Step-by-step explanation:
Answer:
The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.
Step-by-step explanation:
It is given that
Price of a shirt = S dollar
Price of a pair of pants = P
Total number of shirts = 3
Total number of pairs of pants = 2
Total price = Quantity × Price of each unit
Total price of 3 shirts = 3S
Total price of 2 pairs of pants = 2P
Total price of 3 shirts and 2 pairs of pants = 3S + 2P
Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.
hopefully this helps you and gives you insight in how to solve the problems from now on (:
= $11.8 + (2012-1997)([$11.8-$7.4][1997-1990])
= $11.8 + 5 ($4.4/7)
= $11.8 4/5 + $22/7
= $59/5 + $22/7
= $413/35 + $110/35
= $523/35 or $14 33/35
answer : SALES IN 2012 WOULD BE $14 33/35 BILLION OR $14.9 3/7
