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Tanya [424]
3 years ago
6

If f(x)=2x^2-x-6 and g(x)=x^2-4 find f(x)/g(x)

Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
\dfrac{f(x)}{g(x)}=\dfrac{2x^2-x-6}{x^2-4}\\
\dfrac{f(x)}{g(x)}=\dfrac{2x^2-4x+3x-6}{(x-2)(x+2)}\\
\dfrac{f(x)}{g(x)}=\dfrac{2x(x-2)+3(x-2)}{(x-2)(x+2)}\\
\dfrac{f(x)}{g(x)}=\dfrac{(2x+3)(x-2)}{(x-2)(x+2)}\\
\dfrac{f(x)}{g(x)}=\dfrac{2x+3}{x+2}
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Make m the subject of the formula<br><br><img src="https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7Bhm%7D%7B4%7D%20" id="TexFormula1"
juin [17]
S = hm / 4

4s = hm

4s / h = m

So, m = 4s/h
4 0
3 years ago
Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

6 0
2 years ago
The distance from Earth to Mars is 136,000,000 miles. A spaceship travels at 31,000 miles per
posledela
136,000,000/31,000= how many hours for the spaceship to reach mars
136,000,000/31,000/24= how many days for the spaceship to reach mars
136,000,000/31,000/24 is approx. 182.7 days or 183 days (rounded up b/c of "to the nearest day").
7 0
3 years ago
Read 2 more answers
Please help me and I’ll give you brainiest!!!!!!!!! <br><br> Thank you:)!!!!!
sattari [20]
What you have written down is correct, x=-3
4 0
3 years ago
Question 4 options:
Arada [10]

Answer:

{ b, d, f }

Step-by-step explanation:

In the roster form we write the elements of a set by separating commas and enclose them within {} bracket.

We have give,

U = \{a, b, c, d, e, f, g\},

A = \{a, c, e, g\},

B = \{a, b, c, d\},

\because A' = U - A

\implies A' = \{a, b, c, d, e, f, g\} - \{a, c, e, g\}

= { b, d, f }

3 0
3 years ago
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