On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes through (2, 0).Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options.

The domain of the function is the set of all values x such that x is greater than or equal to one-quarter.
The range of the function is all real numbers.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.
The function is increasing over the interval (negative 6 and one-eighth, ∞).

Answer:

Y = 5

Step-by-step explanation:

Since we know six is the value of X we can go ahead and multiply 4 and 6

4 X 6 = 24

Now there are different ways to find the value of Y

How I find the value is I subtracted 24 from 9

That gives you 15

Next you find what number you need to multiply by 3 to get 15

In this case your answer is 5

Then to be extra sure subtract 24 and 15 and you'll get 9

Hope this helps!

y = 5

substitute x = 6 into the equation and solve for y

(4 × 6 ) - 3y = 9

24 - 3y = 9 ( subtract 24 from both sides )

- 3y = - 15 ( divide both sides by - 3 )

y = 5

Answer:

the answer is, Y= -27/64

Answer:

x=-11/12

Step-by-step explanation:

Given an equation for x

x -2/3(3x - 4) + 3x = 5/6

We are asked to find the value of x.

We use equation rules to solve

To get rid of denominator in fraction, let us multiply the whole equation by 6.

6x-4(3x-4) +18x = 5

Simplify:

-6x+18x+16 =5

12x = 5-16 = -11

x = -11/12

Answer:

- 11/6

Step-by-step explanation:

Answer:

-8 and 6

Step-by-step explanation:

Coordinate of point M = -1

Distance between M and a point N = MN = 7

Therefore, the possible coordinates of N can either be:

To the left => -1 - 7 = -8

Or

To the right => -1 + 7 = 6

Check:

If M = -1, and N = -8, MN = |-1 -(-8)| = |-1 + 8| = 7

Or

If M = -1, and N = 6, MN = |-1 - 6| = |-7| = 7

So, our answer is right.

Possible coordinates of point N are -8 and 6

Answer:

• = { (4,1) , (3,2) , (2,3) , (1,4) }

Step-by-step explanation:

Let's start writing the sample space for this experiment :

{ (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) }

Let's also define the event ⇒

: '' The sum of the two dice is 5 ''

We can describe the event by listing all the favorables cases from ⇒

= { (4,1) , (3,2) , (2,3) , (1,4) }

In order to calculate we are going to divide all the cases favorables to over the total cases from . We can do this because all 36 of these possible outcomes from are equally likely. ⇒

⇒

Finally we are going to define the event ⇒

: '' The number of the first die is exactly 1 more than the number on the second die ''

⇒

= { (2,1) , (3,2) , (4,3) , (5,4) , (6,5) }

Now given two events A and B ⇒

P ( A ∩ B ) =

We define the conditional probability as

with

We need to find therefore we can apply the conditional probability equation :

  (I)

We calculate at the beginning of the question. We only need .

Looking at the sets and we find that (3,2) is the unique result which is in both sets. Therefore is 1 result over the 36 possible results. ⇒

Replacing both probabilities calculated in (I) :

We find out that

Final answer:

When rolling two dice, there are 4 combinations that sum to 5. Hence, probability P(E) is 1/9. If considering the event F where the roll on the first die is 1 more than on the second die, it has 5 possible outcomes. So P(F) is 5/36. However, if event E has already happened, P(F|E) is 1/4.

Explanation:

The subject of this question is probability, which is part of Mathematics, specifically, it is a high school-level question. The event E described here is the scenario in which the sum of the numbers rolled on the two dice equals 5. There are 4 possibilities for this event: (1,4), (2,3), (3,2), and (4,1). As there are 36 possible outcomes when rolling two dice, the probability P(E) is 4/36 = 1/9.

Now considering event F where the number on the first die is exactly 1 more than the number on the second die, we have five possible pairs: (2,1), (3,2), (4,3), (5,4), (6,5). So the P(F) is 5/36. However, we're asked to find P(F|E), the probability of event F given that event E has occurred. Looking at the pairs that fit both conditions, we see that there is only one pair: (3,2). Therefore, P(F|E) is 1/4.

Learn more about Probability here:

brainly.com/question/22962752

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Answer:

38 units

Step-by-step explanation:

Counting the fully filled as well as more than half filled as 1 unit, but ignoring the less than half field,

Since, there are no half filled,

Area= Number of fully filled+ Number of more than half filled

=38 units