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dalvyx [7]
3 years ago
13

The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step? 3m − − 3m − − 3m − − 3m − −

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Given:

Consider the below picture attached with this question.

The given expression is:

\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}

To find:

The next step.

Solution:

We have,

\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}

Cancel out the common factors.

=3m-\dfrac{4}{3}-\dfrac{2}{m}

Therefore, the correct option is D.

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A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11, the average attendance has been 27
sasho [114]

Answer:

$15.625

Step-by-step explanation:

Let the revenue collected be R and price per spectator be p then the number of spectators be N. Therefore

R=Np

Using equation of slope of y=mx +c where m is gradient and c is y-intercept

When p=$11, N=27000 and when p=$8, N=31000

The gradient, m will be

m=\frac {31000-27000}{8-11}= -1333.33

To get the y-intercept

N=-1333.33p+c

When spectator number n is 27000, the price p is $11

27000=-1333.33(11)+c hence we solve c

c=27000+(11*1333.33)= 41666.67

Therefore, the linear equation is

N=-1333.33p+ 41666.67

Substituting the linear equation into R=Np we obtain

R=p(-1333.33p+41666.67)

R=-1333.33p^{2}+41666.67p

To obtain maximum revenue, we differentiate the above with respect to price hence obtain

0=2*-1333.33p+41666.67

p=-\frac {41666.67}{2(-1333.33)}= 15.625

Therefore, the price that maximizes revenue is $15.625

4 0
3 years ago
Identify an equation in point-slope form for the line perpendicular to
Alik [6]

Answer:

C

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

-8 = 4 + b (subtract 4 on both sides)

-12 = b

The equation is y = x - 12

C

solve

y + 8 = x - 4 (subtract 8 on both sides)

y = x - 12

7 0
3 years ago
4 3/8+ 2 7/12 <br> Alguém sabe a resposta
Nata [24]

Answer:

6 23/24

Step-by-step explanation:

First, find the least common factor of 8 and 12, the denominators.

8 16 24

12 24

24, is now the current denominnator,

8x 3 = 24

Now you go do it to the numerator, 3 x 3 = 9

9/24 + ?

Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14

4 9/24 + 2 14/24

Now add the front numbers to make 6, than add the numerators and keep the denominator.

6 23/24, since you can not simplify this fraction, this is the answer.

6 0
3 years ago
HELPPPP ASAP PLEASE!!!!
wlad13 [49]

Answer:

the answer is C

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How many repeating digits are in <br><br> 1<br> 2<br> 3<br> 4
Alina [70]

Answer:

infinite

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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