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xenn [34]
3 years ago
10

(x + 2)(x + 3)(x + 4) can be written in the form x + ax² + bx + c

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

a=9, b=26, c=24

Step-by-step explanation:

Let's expand the expression bit by bit.

(x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)=x^2+5x+6 by FOIL.

We have that (x^2+5x+6)(x+4)=x(x^2+5x+6)+4(x^2+5x+6)=x^3+5x^2+6x+4x^2+20x+24=x^3+9x^2+26x+24.

So, the answer is \boxed{a=9, b=26, c=24}

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8.42 Three bags of jelly beans contain 26,28 , and 30 beans. In each bag, the percent of the beans that are yellow is 50%, 25%,
olasank [31]

Answer:

Step-by-step explanation:

Figure out the number of yellow beans in each bag:

Bag A: 0.5*26 = 13 beans

Bag B: 0.25*28 = 7 beans

Bag C: 0.2*30 = 6 beans

The total number of beans in the bowl: 26+28+30 = 84

Total number of yellow beans: 13+7+6 = 26

Percentage of yellow beans: 26/84 *100 = 30.9523

Rounded answer: 31%

6 0
2 years ago
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kicyunya [14]
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21. 

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Thus, Kate initially had 26 paintings. 
7 0
3 years ago
A tour company has a boat that sits at most 40 passengers. For a cruise on the Hudson River they charge $12 per adult and $5 per
EleoNora [17]

Answer:

No

Step-by-step explanation:

For the adults:

$12 times the 14 adults which is: $168

Then for the kids:

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Add next:

$168 plus the $45 equals $213

A(14)+b(5)=c

5 0
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Area and perimeter of composite figures​
nydimaria [60]
Area is 92.13 and the perimeter is 47.42 i think it’s correct
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Nikolay [14]
The answer is 87.01. Good Luck
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3 years ago
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