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GarryVolchara [31]
1 year ago
6

State the domain of the function F(x)= (x+3)/(x-1)

Mathematics
1 answer:
Ostrovityanka [42]1 year ago
3 0

Answer:

x < 1 or x > 1

Step-by-step explanation:

The domain of a function is the range of values of the input is real and defined

In this particular function, x = 1 is the only value at which the function is not defined since the denominator x -1 becomes 0 and the function is undefined since division by zero is undefined

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What is the slope of this graph?<br><br> −1/3<br><br> 3<br><br> 1/3<br><br> −3
FromTheMoon [43]
I'm assuming there is probably a graph that goes with this problem so here is all the info I can give you with the four choices: If it is -1/3, the line will go DOWN 1, over 3 (just count on the graph) If it is 3, the line will go UP 3, over 1 If it is 1/3, the line will go UP 1, over 3 And if it it -3, it will go DOWN 3, over 1 (If the slope is 3 or -3, it would be quite steep compared to a slope of 1/3 or -1/3) Hope that helps!
4 0
3 years ago
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
How do find the answer in subtractiion problem, when the top number is smaller than the bottom
Travka [436]
Use a number line if you need 4/10 - 6/10 = -2/10a simpler way is to do the opposite 6/10 - 4/10 = 2/10  then the answer would be the opposite as well. so, -2/10
8 0
3 years ago
Read 2 more answers
I have no clue what to do please help
poizon [28]
With the whole question ???
8 0
3 years ago
I need help i rlly need to awnser this :/ i need my math grade to be good pls if u awser god bless u
Rasek [7]

Answer:

...

Step-by-step explanation:

3 0
2 years ago
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