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GarryVolchara [31]
3 years ago
10

Choose the best description for the real number 4 point 6 repeating.

Mathematics
2 answers:
adell [148]3 years ago
8 0
Rational because it is a repeating decimal
umka21 [38]3 years ago
3 0
4.66666
rational numbers can be written in the form a/b
any repeateing decimal can be written in the form a/b
4.666 repeating is actually 42/9


rational because it is a repeating decimal
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What is the focus of the parabola? y=−1/4x2−x+3
alex41 [277]

Answer:  Focus = (-2, 3)

<u>Step-by-step explanation:</u>

y=-\dfrac{1}{4}x^2-x+3\\\\\rightarrow a=-\dfrac{1}{4},\ b=-1

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(-1)}{2(\frac{-1}{4})}=\dfrac{1}{-\frac{1}{2}}=-2

Then finding the maximum by inputting x = -2 into the given equation:

y=-\dfrac{1}{4}(-2)^2-(-2)+3\\\\y=-1+2+3\\\\y=4

The vertex is: (-2, 4)

Now let's find p, which is the distance from the vertex to the focus:

a=\dfrac{1}{4p}\\\\\\-\dfrac{1}{4}=\dfrac{1}{4p}\\\\\\p=-1

The vertex is (-2, 4) and p = -1

The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)

3 0
3 years ago
Plot the vertex and the axis of symmetry of this function on the provided graph.
tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

5 0
3 years ago
Help&amp;EXPLAIN <br> ==============
Marat540 [252]

Answer:

area=πr²=3.14×4²=50.24ft²

5 0
3 years ago
Henry worked for 8 days, Jack worked for 9.5 days while Steffi worked for 6.5 days to complete a project. If the amount earned f
trasher [3.6K]

Answer:

The ratio in which the amount is shared is 16:19:13

Step-by-step explanation:

The given parameters are;

The number of days Henry worked = 8 days

The number of days Jack worked = 9.5 days

The number of days Steffi worked = 6.5 days

The sharing formula for the amount earned for the project = The ratio of the number of days worked by each one

The total number of days worked by all three = 8 days + 9.5 days + 6.5 days = 24 days

The fraction of the total number of days Henry worked = (8 days)/(24 days) = 1/3 = 16/48

The fraction of the total number of days Jack worked = (9.5 days)/(24 days) = 19/48

The fraction of the total number of days Steffi worked = (6.5 days)/(24 days) = 13/48

Therefore. the ratio in which the amount is shared = 16:19:13 (which is the same as the ratio of the number of days worked)

5 0
3 years ago
How can I find the dimensions that equal 36?​
Valentin [98]

Answer:

The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18

Explanation:

Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36

=> W = 18 - L

3 0
2 years ago
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