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ASHA 777 [7]
3 years ago
6

a rectangular box is 24 in. long, 12 in wide, and 18 in high. If each dimension is increased by x in .. write a polynomial funct

ion in standard form modeling the volume of the box
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

<h2>V = x³ + 54x² + 936x + 5,184</h2>

Step-by-step explanation:

<h3 /><h3>If we add a value of 'x' to each side of the box, the new dimensions can be represented as</h3><h3>x + 24</h3><h3>x + 12 and </h3><h3>x + 18</h3><h3 /><h3>To find the volume of the new box, multiply all of the dimensions together</h3><h3 /><h3>V = (x + 24)(x + 12)(x + 18)    </h3><h3> Foil the first and second binomial....</h3><h3 /><h3>V = (x² + 36x + 288)(x + 18)</h3><h3>  Now multiply the two polynomials together...</h3><h3 /><h3>V = x²(x) + 36x(x) + 288x + x²(18) + 36x(18) + 288(18)</h3><h3 /><h3>V = x³ + 36x² + 288x + 18x² + 648x + 5,184</h3><h3 /><h3>which simplifies to</h3><h3 /><h3>V = x³ + 54x² + 936x + 5,184     where x represents the increase in inches</h3>
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. When the last 3 digits of a year (such as
Nataliya [291]

Answer:

A ; 23rd century

Step-by-step explanation:

Here, we want to select which of the options is next to have a descending year.

Since all are in the same century i.e 20-something, we do not have an issue with the first digit.

What we need to work on is the last three digits;

We can have 2210, we can have 2321, we can have 2432, we can also have 2543 and so on.

The most recent of all these is the year 2210, so what century does this belong?

Kindly note that, the years 2001-2100 belong to the 21st century.

The years 2101-2200 belong to the 22nd century while the years 2201-2300 belong to the 23rd century

The year we are looking to place is the year 2201 and thus belongs to between 2201-2300 which is the 23rd century

8 0
3 years ago
Find both inequality 2c-7\&gt;9 and 5d+7/&lt;32
solong [7]
2c -7 >= 9 

2c >= 16

c >= 8

5d + 7 <= 32

5d <= 25

d <= 5

normal arthematic except diving over -1 or flipping (taking inverse -1) flips the operator 

3 0
3 years ago
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
telo118 [61]

Answer:

$16

Step-by-step explanation:

Round : $80.36 : $80

Equation : 20% of 80

Answer : $16

Sidenote: I hope this answers your questions!

6 0
2 years ago
Read 2 more answers
Given that cos 42° ~ 0.743, what is the sine of the complementary angle?
podryga [215]
Cos<span> 42° ~ 0.743

cos 42° = sin(90-42) = sin 58°

So sine of complementary angle also has same value as cos 42.
So sin 58 ~ 0.743
</span>
6 0
3 years ago
The equations -6x + 3y = 6 and x² + y = 10 intersect at the
eimsori [14]

The values of the letters in coordinates (a, b) and (c,d) are;

<u><em>a = -4</em></u>

<u><em>b = -6</em></u>

<u><em>c = 2</em></u>

<u><em>d = 6</em></u>

<u><em /></u>

We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

  • We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

  • Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation <em>solver</em>, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

  • Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

Read more at; brainly.com/question/15165519

5 0
2 years ago
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