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xxMikexx [17]
3 years ago
13

Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynom

ial. Use standard polynomial format.
x(2x + 3) + (x - 3)(x - 4)
Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer:

3x^{2}-4x+12

Step-by-step explanation:

In this case we have to simplify the expression by giving it in the standard polynomial format, first we have to see what is the polynomial standard format, this is:

ax^{2} +bx+c

In the case of the expression presented we have to make the multiplications and additions to then organize the expression:

x(2x+3)+(x+3)(x+4)

First the multiplications:

2x^{2} +3x+x^{2} -4x-3x+12

Now the additions and organization:

3x^{2}-4x+12

Now we have the expression in the polynomial format.

Mice21 [21]3 years ago
4 0
3x^2-4x+12! Hope this helps.
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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
Read 2 more answers
A bird in the sky flies down.
tino4ka555 [31]

Answer:

Step-by-step explanation:

What is the rest of the equation? I will edit/fix the answer after you finish the equation.

5 0
3 years ago
What is 30% discount of £9.50
Tems11 [23]
30% discount of £9.50 is £2.85
in order to find out the answer you times 30 by £9.50 and you get 285 and then you divide the answer by 100 and you get £2.85
3 0
3 years ago
Read 2 more answers
Please help thank youuuuu
pentagon [3]

Answer:

Y=3x-1

Step-by-step explanation:

Let x =1 then ,Y=(3×1)-1=2

Let x=2 then, Y=(3×2)-1=5

Let x=3 then Y=(3×3)-1=8

Let x=0 then Y=(3×0)-1=-1

5 0
2 years ago
A company has an opportunity to bid on three contracts. determine which would be the best investment given the information in th
lys-0071 [83]

The best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A company has an opportunity to bid on three contracts. Probability of profit and loss by all three contract is listed in the table below.

Contract profit,   (P)* of profit, (P)* to break even loss, (P)* of loss

  • Southeast $45,000, 50% 30% $6,000, 20%
  • Southwest $60,000, 35% 40% $10,000, 25%
  • California $112,000, 20% 40% $40,000, 40%

The company which will give the maximum profit probability and minimum loss probability will be the best investment.

In the above table, the southeast contract has the maximum probability of profit, which is 50% among all the contracts. Similarly, it has the lowest probability of loss, which is 20%.

Thus, the best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.

Learn more about the probability here;

brainly.com/question/24756209

8 0
2 years ago
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