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3 years ago

Which graph represents the function of f(x) 9x^2 -36 / 3x + 6

Mathematics

1 answer:

Finger [1]3 years ago

7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}-36}{3x+6}$

Remember that the denominator cannot be equal to zero

The value of x cannot be equal to x=-2

<em>Simplify the numerator</em>

$9x^{2}-36=(3x+6)(3x-6)$ ----> by difference of squares

substitute

$f(x)=\frac{(3x+6)(3x-6)}{3x+6}$

simplify

$f(x)=3x-6$

The domain is all real numbers except the value of x=-2

The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)

therefore

The graph in the attached figure

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If the store currently charges a price of $50, then increases that price to $60, what happens to total revenue from shoe sales (

Goryan [66]

Answer:

<h2>Revenue will decrease</h2>

Step-by-step explanation:

Note: the question did not provide the quantity to work with, so we will assume some values, say quantity Q= 30

Generally, it is normal for the revenue to decrease when the price of a commodity increase, this is so that buyer will have to react to adjust to the change in price.

When price increase from $50 to $60, the total revenue will decrease

let say the quantity Q1=30 , and the new quantity after price increase is Q2=20

1. The revenue PxQ before price change will be

PxQ= P1xQ1=50*30

PxQ= $1500

1. The revenue PxQ after price change will be

PxQ=P2xQ2= 60*20

P2xQ2= $1200

This clearly shows that based on the assumed data, the total revenue will drop from1500 to 1200, a total of $300 in a decrease

4 0

2 years ago

Could someone pleaseeeeee help me with my math! Thank you <3

Papessa [141]

1 7/9-2/9=1 5/9

Hope this helps:)

8 0

3 years ago

alex spent 3/7 of his money he gave 1 /4 of the remainder to his sistet he haf $120 left how much money did he in the beginning

Sonbull [250]

Let his total money be x.
He spent (3/7)*x of his money.
He gave 1/4(x-3/7x) to his sister.
which is : (1/4)*(4/7)*x = (1/7)*x
Now,
How much money he have in the beginning =
(3/7)*x+(1/7)*x+120=x
(4/7)*x+120=x
120=x-(4/7)*x
120=(3/7)*x
x=120*7/3 [cross multiplication]
x=280.

So, Alex had $280 in the beginning.

6 0

3 years ago

A computer that normally costs $890 is on sale with a 35% discount. What is the sale price?

astraxan [27]

Answer:

578.5$

Step-by-step explanation:

first we calculate 35% of $890

890 * 0.35 = 311.5$

Then we subtract 35% from the original price to obtain the final price

890-311.5=578.5$ <---- final price

4 0