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3 years ago

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

Mathematics

1 answer:

liq [111]3 years ago

6 0

F(x) / g(x) = (2x + 3)(x-2)/(x-2)(x+2) = (2x+3)/(x+2)

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I don’t get this..please help!

Maslowich

Answer:

OPTION 1

Step-by-step explanation:

You just basically plug in x and y values in all the equations and check if you get the same answer each time.

Option 1 is correct because when you plug in let's say the first coordinates,10 and 4 it does give you 6 which is right.

Or you can test it the other way, just plugging in x values and see if you get the right y value for it shown above in the table.

Hope this helps!

3 0

3 years ago

the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is

diamong [38]

Answer:

40 terms

Step-by-step explanation:

<u>Sum of n terms formula:</u>

Sn = 1/2n(a1 + an)

<u>Solving for n</u>

3480 = 1/2n(9 + 165)
3480 = 87n
n = 3480/87
n = 40

3 0

2 years ago

Read 2 more answers

True or false: the output correspond to the vertical axis

liraira [26]

True the output or dependent variable is on the y (vertical) axis

5 0

3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

iragen [17]

Answer:

36.25

Step-by-step explanation:

The three in 20.342 has a value of 0.3, so a three one hundred times greater would be 0.3 times 100, which is 30.

Next, find the choice that has a three in the ten's place, which represents a 30.

5 0

2 years ago

If sinA =3/5 and A+B =90 find cosB

-Dominant- [34]

$A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}$

$Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1$

Other method:

Look at the picture.

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5$

$\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}$

8 0

3 years ago