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Mariulka [41]
3 years ago
15

Find the holes

itle="f(x)=\frac{x+3}{(x+1)(x-2)}" alt="f(x)=\frac{x+3}{(x+1)(x-2)}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer:

<h2>           x=-1 and x=2</h2>

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

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16
Bas_tet [7]

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

5 0
3 years ago
Read 2 more answers
Pls solve showing steps, thanks!<br><br> 7^4n+19/7^3n-1•7^n+20
Vinvika [58]

Answer:

This expression can be simplified to 1

Step-by-step explanation:

\frac{7^{4n + 19}}{7^{3n - 1}\times{7^{n + 20}}}\\\\= \frac{7^{4n + 19}}{7^{3n - 1 + n + 20}}\\\\= \frac{7^{4n + 19}}{7^{(3n + n) + (20 - 1)}}\\\\= \frac{7^{4n + 19}}{7^{4n + 19}}\\\\= 1

7 0
3 years ago
I need help on this ​
nalin [4]

Answer:

17

Step-by-step explanation:

4 0
3 years ago
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What is the average of 30, 40, and 80?
Alenkinab [10]
Because 80+40+30 equals 150 then you divide by how many number there are and there are 3 so 150 divided by 3 = 50
8 0
3 years ago
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Rewrite the expression by factoring out the greatest common factor: 5x + 15 *
pshichka [43]

Answer:

5(x+3)

Step-by-step explanation:

The greatest common factor from both numbers is 5, so you divide them both by 5 and put the 5 outside of the parenthesis and then put x+3 inside the parenthesis because 5x divided by 5 is x and 15 divided by 5 is 3.

4 0
3 years ago
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