The shipping container is a
rectangular prism. Write a polynomial that represents
the volume of the container.
Answers
Answer:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Step-by-step explanation:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Related Questions
Hiya everyone , Can you guys help me if you want answer one question each . I’m giving brainlist and points
Answers
Answer:
I think its 60x?
Step-by-step explanation:
need help with this one 105.6+37.1
Answers
Answer: 142.7
Step-by-step explanation:
A dog shelter housed 24 puppies last month. This month, 39 puppies are at the shelter. What is the percent of change?
Answers
Answer:
62.5%
Step-by-step explanation:
can i have brainliest
Answer:
62.5%
Step-by-step explanation:
39 - 24 = 15 ÷ 24 = 0.625 x 100 = 62.5%
:)
2. Using triangle RST below, which side is opposite of
Answers
Answer: side RS (with measure 36)
Step-by-step explanation:
At a competition 24 of 40 members of a middle school band won a metal. What percentage of the members of the band won a medal
Answers
Answer:
Step-by-step explanation:
24/40=60%
The percentage of the members of the band won a medal is 60%.
Given that, at a competition 24 of 40 members of a middle school band won a metal.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The fraction for 24 of 40 members is
24/40
So, the percentage
= 24/40 ×100
= 60%
Hence, the percentage of the members of the band won a medal is 60%.
To learn more about the percentage visit:
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How do you find Cosine when using trig?
Answers
Answer:
cosine= adjacent
hypotenuse
Answer:
adjacend/hypotonus
Step-by-step explanation:
When you want to find the cosine of an angle, you would divide the ajasent side by the hypotonus. You can remember soh cah toa for all the trig funtions. Hope this helps!
3x+8y=27 4x+3y=13 solve the simultaneous equation
Answers
Step-by-step explanation:
3x+8y=27
3x=27-8y
x=27-8y/3
4(27-8y/3) + 3y=13
36-32/3y +3y =13
36-23/3y=13
36-13=23/3y
y=3
x=1
HELP PLS THIS IS DUE TOMORROW WHICH IS IN 3 HOURS
Answers
Answer:
Is that your answer ☺️☺️☺️
Step-by-step explanation:
The answer for the above question is 5.75
Which expression is equivalent to -3(4-2g)-6?
Answers
Answer:
6g-6 will be the answer
Step-by-step explanation:
[-3(-2g)+(-3)(4)]-6
6g(-12-6)
6g-6
9.6 x 10^9 as a normal number
Answers
Answer:
9,600,000,000
Step-by-step explanation:
I am not sure it right but I hope it's helpful.
Divide
R18000 into
2:3??
Answers
Answer:
3000
Step-by-step explanation:
I hope this answer will help you
Answer:3000 would be the answer.
Step-by-step explanation:
which fraction are equivalent to 1/8
Answers
2/16 or 4/32
Step by Step explanation :
If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*
Answers
Answer:
A. g(x) = 4.2%
Step-by-step explanation:
If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*
im not sure
The vertical stretch of the transformation of the function is g ( x ) = 4 ( 2 )ˣ
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 2ˣ
Now , the vertical stretch of a factor of 4 is given by
The transformed function is g ( x )
g ( x ) = 4 f ( x )
On simplifying , we get
g ( x ) = 4 ( 2 )ˣ
Hence , the transformed function is g ( x ) = 4 ( 2 )ˣ
To learn more about transformation of functions click :
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The complete question is attached below :
If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*
If g(x) = x^2 + 4x - 7 , find g(-6)
Answers
Step-by-step explanation:
Given
g(x) = x² + 4x - 7
g(-6)= ( - 6)² + 4 * ( -6) - 7
= 36 - 24 - 7
= 5
Hope it will help :)❤
Combine like terms to create an equivalent expression.
Answers
Answer:
1/6a - 1/6
Step-by-step explanation:
Answer:
1/6a-1/6
Step-by-step explanation:
only first two terms are alike
There are 325 seventh graders in 12 classes. Determine the unit rate
Answers
Answer:27
Step27-by-step explanation:
Guys please, please help!!
Answer properly!!
1. What is the domain? range?
2. Does the relation represent a liner equation? Why?
Answers
9514 1404 393
Answer:
1. domain and range are all real numbers
2. the relation is linear
Step-by-step explanation:
When the graph of a function is a straight line, the relation is linear. (That's what linear means.)
A linear relation is of degree 1, so has odd degree. Any odd-degree polynomial function has a domain and range of "all real numbers."
Answer:
1. Domain : all the real numbers
Range = all the real numbers
yes, this relation represents a linear function. (linear functions are always a straight line when graphed.)
Solve -2/5t = 20
A. t = 8
B. t = -8
C. t = 50
D. t = -50
Answers
5/-2*-2/5t= 5/-2*20
which would then give you an answer of
t=-50
Which number is larger? (1 mark)
0.67 or
2/3
Answers
Answer:
0.67
Step-by-step explanation:
2/3= to 0.66 which means 0.67 would be technally larger than 0.66
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? $
If you leave this money in the account, how much will be in your account after 2 years?
Answers
Answer:
336
Step-by-step explanation:
The first year added $18 so just double the lat 2 digits
The amount $300 after 1 year and 2 year become $318 and $337.08 respectively.
It is given that the deposit amount is $300 in an account with a 6% annual interest rate.
It is required to find the money after 1 year and 2 year.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A= P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have P = $300
r = 6% = 0.06
t = 1 years
Putting the values in the formula, we get;
[tex]\rm A= 300(1+0.06)^1\\\\\rm A = 300(1.06)\\\\\rm A = \$318[/tex]
After 2 year:
[tex]\rm A= 300(1+0.06)^2\\\\\rm A = 300(1.06)^2\\\\\rm A = \$337.08[/tex]
Thus, the amount $300 after 1 year and after 2 year become $318 and $337.08 respectively.
Learn more about the compound interest here:
brainly.com/question/26457073
MY BRAIN LITERALLY ISNT WORKING ANYMORE
Answers
Answer:
Try using a website calculator, or just try and ask a parent guardian for help
Your Numbers are; 25, 75, 50, 1, 9, 3 and your Target is 386 How do i get to 386 using only these numbers once and I can use Subtraction, Addition, multiplication, ad division.
Answers
Answer:
You must order the operations in the way that it unfolds in the explanation;:
Step-by-step explanation:
(25 x 9) +75 + 50+ 9 x ( 3 + 1)
When performing the operations we have the following results:
(25 x 9) =225 +75= 300+50 = 350+9 = 359 x (3+1 )
Now we must solve the following: 359 x (4) = 386
A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
Answers
Answer: -4 -5i
Step-by-step explanation:
Edg
Answer:
B
Step-by-step explanation:
Edge2021
(GIVING BRAINLIEST!!!!!!!!!)
What is the sum of the lengths of the shortest and longest ski trial?
Answers
Answer: Use a calculator
Step-by-step explanation:
Ti-83
Replace each question mark with <, >, or = to make a true sentence. 13% ? 1.3%. .5.1% ? 15%
Answers
Answer:
Step-by-step explanation:
13% > 1.3%
5.1% < 15%
Answer:
13% > 1.3%
5.1% < 15%
hope that helps :)
On a coordinate plane, parallelogram A B C D, parallelogram A prime B prime C prime D prime, and parallelogram A double prime, B double prime, C double prime, D double prime are on the graph.
In the pre-image of the parallelogram, the slope of AD is −3 and the slope of BC is −3. The image is translated down 7 units and then reflected over the y−axis.
The slope of A"D" is_____
The slope of B"C" is_____
What can you determine about the line segments A"D" and B"C"?
Answers
Answer:
The answer is... a=3 b=3 and are parrelell
The line segments A"D" and B"C" are parallel to each other because they are both vertical lines.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Since the pre-image parallelogram has sides with slope -3, we can conclude that the sides AD and BC are parallel to each other.
After the translation, every point of the image is shifted 7 units down, and thus the slope of AD and BC does not change.
The reflection over the y-axis will cause the signs of the x-coordinates to flip. Therefore, the slope of AD and BC will change from -3 to 3.
Since A"D" is a vertical line (its two points have the same x-coordinate), its slope is undefined.
Similarly, B"C" is also a vertical line, so its slope is undefined.
We can also determine that A"D" and B"C" are parallel to each other since they are both vertical lines.
Learn more about parallelograms here:
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Determine the unknown side of the similar triangle.
A)
2
B)
3
D)
5
Answers
8 is what percent of 40
Answers
Answer:
20%
Step-by-step explanation:
[tex]\frac{8}{40}*100=2*10=20\\[/tex]%
Answer:
8 is 20% of 40
HELP PLZ!!! i have trouble with this!!!
Answers
And radius is 1
tammy has 5 cookies john took 3 how many cookies does tammy have now
Answers
Answer:
Tammy has 2 cookies.
Step-by-step explanation:
Subtract 5-3.