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Nadya [2.5K]
3 years ago
12

At what x value does the function given below have a hole? f(x)=x+3/x2−9

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

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Veronika [31]

Answer:

2/3

4

3.

An airplane is flying from New York City to Los Angeles. The distance it travels in

miles, d, is related to the time in seconds, t, by the equation d = 0.15t.

d= 0.15

1

0.157

t

(seconds)

1

30

d

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0.15 x 1

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12.75

a.

How fast is it flying? Be sure to include the units.

b.

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C.

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4.

Crater Lake in Oregon is shaped like a circle with a diamet

Step-by-step explanation:

7 0
3 years ago
What is the slope of the diagonal line on the larger triangle? Explain how you found it.
Stolb23 [73]

Answer: 2/3 is the slope I think and for the same slope thing here is my answer:

We can use similarly of triangles in this case there will be a formation of 2 pairs equal ( angles formed by the y-axis on the parallel lines) angles between triangles formed as the y-axis lines are parallel. So,the slope is the same for both.

5 0
2 years ago
7 thousands 4 tens divided by 10
Bezzdna [24]

Answer:

704

Step-by-step explanation:

7000 + 40  (7 thousands + 4 Tens) Divide that by 10.

7040/10 = 704

6 0
4 years ago
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3 years ago
What is the equation of this line?<br><br><br>y = 2x<br><br>y=12x<br><br>y=−2x<br><br>y=−12x
Anna [14]
Y=2X

Looking at the line you can see that it is moving up from left to right, making it positive. So -2X and -12X are incorrect.

Next we can find the slope by putting rise over run. Chose a point on the line, I’ll use (2,4).
On this point we rise to 4 and run over to 2.
So for rise over run we have 4/2 which is 2.
So y=2x is correct.
6 0
3 years ago
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