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Rainbow [258]
3 years ago
10

When can you pull a number out from under the radical?

Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

You can take out anything that is a perfect square

Step-by-step explanation:

For Example, a perfect square would be considered

64

36

to get a perfect square you multiply a number by itself

for example,

8 x 8 = 64

6 x 6 = 36

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Umnica [9.8K]

The given function is

f(x)=\frac{x^2-x-2}{x-5}

i) We factor the numerator to obtain;

f(x)=\frac{(x-2)(x+1)}{x-5}

The vertical asymptote is where the denominator is zero.

V.A: x=5

ii) The roots are the zeros of the numerator;

Roots:

x^2-x-2=0

(x-2)(x+1)=0

x=2,x=-1

iii) At y-intercept x=0.

Put x=0 into the function and solve.

f(0)=\frac{0^2-0-2}{0-5}

f(0)=\frac{-2}{-5}

f(0)=\frac{2}{5}

Y-int: \frac{2}{5}

iv) Horizontal asymptote.

This is an improper rational function.

It has no horizontal asymptote.

v) Holes:

The given rational function has no common factors in both the numerator and the denominator.

Therefore the function has no holes.

6) For oblique Assymptote, we divide using lond division or synthetic division;

     1   -1    -2

5|  <u>      5   20</u>

     1    4    18

The quotient is x+4

The  oblique asymptote is

y=x+4

6 0
2 years ago
What polynomial identity should be used to prove that 35 = 8 + 27
Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

a^3+b^3=(a+b)(a^2-ab+b^2)

Take RHS

8+ 27

We can write 8 as 2 \times 2 \times 2 = 2^3 and 27 as 3 \times 3 \times 3 = 3^3.

then;

8+27 = 2^3+3^3

Now, use the sum of cubes identity;

here a =2 and b = 3

2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)

or

2^3+3^3 = (5)(4-6+9) = 5 \cdot 7 = 35 = LHS    proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0
3 years ago
Read 2 more answers
Kimuyen needs to earn $4,150 per month in order to pay all her expenses. Her job pays her $3,475 per month plus a commission of
ASHA 777 [7]

Answer:

Step-by-step explanation:

16,875

8 0
3 years ago
Read 2 more answers
Is the amount of rain in city upper b during april a discrete random​ variable, a continuous random​ variable, or not a random​
larisa [96]
Answer: It is a continuous random variable.

The amount of rain is a continuous random variable because it can take on all of the numbers on a number line.

For example, the actual amount of rain in April could be 1 inch. Or 1.4 inches. Or 1.45 inches. Or 1.452020980234 inches. There are an infinite possibilities for the amount of rainfall.
6 0
3 years ago
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and
lisabon 2012 [21]

Answer:

Dilation

Step-by-step explanation:

Given: The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.

To choose: the correct option

Dilation refers to a transformation when a figure is reduced or enlarged.

Each side of the large triangle is halved to get the small triangle.

So, Dilation transformation maps the large triangle onto the small triangle

3 0
2 years ago
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