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Nata [24]
3 years ago
8

The graph below shows the function f(x)=5x+10/x^2+7x+10 Where is the removable discontinuity of f(x) located?

Mathematics
2 answers:
maria [59]3 years ago
8 0
For this case we have the following function:
 f (x) = (5x + 10) / (x ^ 2 + 7x + 10)
 
 Let's rewrite the function:
 f (x) = (5x + 10) / ((x + 2) (x + 5))

 f (x) = (5 (x + 2)) / ((x + 2) (x + 5))
 We set the denominator to zero to see the values of x for which it is not defined:
 (x + 2) (x + 5) = 0
 
 From here, we get:
 x = -2
 
x = -5

 There is a removable discontinuity at x = -2, since by rewriting the function we have:
 f (x) = 5 / (x + 5)
 
 Answer:
 
the removable discontinuity of f (x) is located at:
 
x = -2
aleksandr82 [10.1K]3 years ago
7 0
<span>The correct answer is x= - 2.

Explanation:
A removable discontinuity happens where y=(0/0). To find this, we first factor the numerator and denominator.

For our numerator, we factor out the GCF; 5 is the GCF. Factoring 5 out of 5x leaves x, and factoring 5 out of 10 leaves 2, which gives us 5(x+2).

To factor the denominator, we want factors of c, 10, that sum to b, 7. 5*2=10 and 5+2=7, so this gives us (x+5)(x+2).

Next we find the common factors in the numerator and denominator; (x+2) is the common factor. We set this equal to 0: x+2=0. Now we solve for x by subtracting 2 from each side: x+2-2=0-2; x= - 2.  </span>
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Fynjy0 [20]

HI i know i am a week late but i hope this helps in some way. :)

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6 0
3 years ago
I don't understand (t+8)(-2)=12
Evgen [1.6K]
It it called an equation. Equation consist of number, symbols, and a equal sign.
To solve, first do -2 times t and -2 times 8. Your equation would look like this after: -2T+(-16)=12. Then add 16 to each side. -2T=28. Next, divide by -2. T=-14 is your answer.
5 0
3 years ago
Need help with this question please!!
Luba_88 [7]

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1

8 0
3 years ago
Find the area of shaded part .​
Firlakuza [10]

Answer:

Area of big rectangle= 5m× 3m

                                   = 15m²

Area of small rectangle=1m× 1m

                                       =1m²

Area of shaded part= Area of big rectangle- Area of a small rectangle

                                 = 15m²-1m²

                                  = 14m²

Step-by-step explanation: Hope it helps

5 0
3 years ago
For what integer value of x is 3x+5&gt;11 and x-3 &lt;1?
Andre45 [30]
3x + 5 > 11
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3x > 6
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x > 2

x - 3 < 1
x (-3 + 3) < 1 + 3
x < 4

When subtracting / adding values to both sides, the inequality does not change.

When multiplying / dividing by a positive value, the inequality also doesn't change, but when multiplying , dividing with a negative value, the inequality must be flipped.
7 0
3 years ago
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