Question 5
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Question 1 Part D (2 points): Which of the following is NOT an example of the closure property as it relates to polynomials?
A.
(x + 2)(2x - 1) = 2x² + 3x - 2
B.
(x³ - x² + 4) - (2x² + 5) = x³ - 3x² - 1
C.
(2x)(0) = 0
D.
(2x³ - x² - 5x + 4) + (x³ - 2x² + 1) = 3x³ - 3x² - 5x + 5
E.
None of the above because all are examples of the closure property as it relates to polynomials
None of the above because all are examples of the closure property as it relates to polynomials.
Closure property of the functionA function is known to be closed if its input value is equal to its output.
Accordng to the question, we need to select the function that obeys the law of closure.
To select the correct polynmials, we need to determine the function that has its left hand side equal to the right.
From the given options,we can see that all their right hand sides are equal to the left, hence we can conclude that "none of the above because all are examples of the closure property as it relates to polynomials"
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Will give brainliest pls answer!!
Find the volume of the rectangular
prism.
A)29 cm³
B) 87 cm³
C)288 cm³
D)576 cm³
Answer:
D) 576 cubic cm
Step-by-step explanation:
[tex]16 \times 9 \times 4 = 576[/tex]
Answer:
the answer is D
Step-by-step explanation:
volume =height × length × width
so 9×4×16= 576
What answer is this I can’t find it
The length of a rectangle is 4 times its width.
The perimeter is 36.
Find the length and width of the rectangle.
Answer:
Length=14.4
Width=3.6
Step-by-step explanation:
l=4w
2l+2w=36
2(4w)+2w=36
8w+2w=36
10w=36
w=3.6
l=4w
4(3.6)
l=14.4
*check by plugging in answers into 2l+2w=36*
Answer:
[tex]L=\frac{72}{5}[/tex] or 14.4
[tex]W=\frac{18}{5}[/tex] or 3.6
Step-by-step explanation:
Please take note this probably not the easiest way to do the problem.
Formula for the Perimeter of Rectangle
[tex]P=2L+2W[/tex]
We are given the perimter.
[tex]36=2L+2W[/tex]
[tex]L=4*W[/tex]
To solve I would use the Gauss-Jordan method. (it is advanced, but it makes sense to me)
[tex]36=2L+2W[/tex]
[tex]L=4*W[/tex]
Write the coefficients of each eqaution as rows in the matrix.
[tex]\left[\begin{array}{ccc}2&2&36\\1&-4&0\\\end{array}\right][/tex]
Divide the first row by 2.
[tex]\left[\begin{array}{ccc}1&1&18\\1&-4&0\\\end{array}\right][/tex]
Multiply row 1 by -1 and add it to row 2.
[tex]\left[\begin{array}{ccc}1&1&18\\0&-5&-18\\\end{array}\right][/tex]
Divide the second row by -5.
[tex]\left[\begin{array}{ccc}1&1&18\\0&1&\frac{18}{5} \\\end{array}\right][/tex]
Multiply row 2 by -1 and add it to row 1.
[tex]\left[\begin{array}{ccc}1&0&\frac{72}{5} \\0&1&\frac{18}{5} \\\end{array}\right][/tex]
We now have an augmented matrix.
[tex]L=\frac{72}{5}[/tex]
[tex]W=\frac{18}{5}[/tex]
Which figure is not a prism?
Α.
B.
С.
D.
Answer:
D
Step-by-step explanation:
Prisms all have flat sides. The last image has curved sides so it is a cylinder and not a prism.
Landry is going to wrap a birthday present for his mom. He needs to know how much wrapping paper he needs to wrap the present with no overlap.
volume
or
surface area
Answer:
surface area
Step-by-step explanation:
Wrapping paper covers the surface of an object.
To know how much paper he needs, Landry will need to determine the surface area of the present.
Charles decided that his old car could not make a 1200 mile trip; it might break down. Rather than take a chance on a big repair bill, and breaking down on the road, he decided to rent a car. The rental is $99 for a special three day weekend rate, with unlimited miles. If the rental car gets 30 miles per gallon and Charles has to pay $3.85 per gallon for gas, what is the total cost of gasoline and rental for the trip
Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total cost is composed by:
The rental fee of $99.The gasoline cost, of $3.85 per gallon, considering that 1200/30 = 40 gallons were used.Hence, the total cost is given by:
C = $3.85 x 40 + $99 = $253.
More can be learned about proportions at https://brainly.com/question/24372153
Answer:
C = $3.85 x 40 + $99 = $253.
Step-by-step explanation:
I took the test
Juan measured the thickness of the books in his bookcase. This line plot shows his results. Juan stacked the thinnest books and thickest book in one pile. How thick was his pile of books?
The thickness of the pile of books measured by Juan and the information in the line plot is 5.
What is the thickness of the pile of books?Based on the information in the line plot, the thinnest book has a thickess of 1 1/4 and the thickest book has a thickess of 2 1/2.
The thickness of the pile of books = (1 1/4 x 2) + 21/2
(5/4 x 2) + 2 1/4 = 5
Please find attached the complete question. To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
Two great structures are
described below. What is the
difference, in square feet, between the visible
surface area of
the Great Pyramid and the first tower of the World Trade
Center? (Hint: The bottom side is not visible for either
structure.)
On September 11, 2001,
terrorists crashed planes
The Great Pyramid of
Giza, built around 2550
B.C., has a square base
with a length of 756 feet,
and the distance from
the middle of any base
side to the top is 612 feet.
into the World Trade
Center Twin Towers. The
first tower was a
rectangular prism with a
square base whose sides
were 208 feet long. The
tower was 1,368 feet tall.
The difference, in square feet, between the visible surface area of
The Great Pyramid and the first tower of the World Trade Center are 358704.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = Perimeter x height
The Great Pyramid of Giza, has a square base with a length of 756 feet, and the distance from the middle of any base side to the top is 612 feet.
The first tower was a rectangular prism with a square base whose sides
were 208 feet long. The tower was 1,368 feet tall.
Total surface area = base area + (1/2 × perimeter × slant height)
Perimeter of base = 4 × 756 = 3024 feet
Slant height = 612 feet
Base area = 756² = 571536 feet²
The total surface area
[tex]= 571536 + (1/2 \times 3024 \times 612)\\ 1496880 feet^2[/tex]
The surface area of this rectangular prism = Perimeter x height
Perimeter of base = 4 × 208 = 832 feet
Area = [tex]832 \times 1368\\\\1138176[/tex]
The difference, in square feet, between the visible surface area of
the Great Pyramid and the first tower of the World Trade Center are 358704.
Learn more about the area;
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Sientific notation (please help!)
√5
You know that √4 = 2
so √5 > 2
2.5 * 2.5 = 6.25,
√6.25 = 2.5
so √5 in between 2 & 2.5
2 < n < 2.5
π/3
π/3 ≈ 3.14/3
3/3 = 1
4.5/3 = 1.5
π is in between 3 & 4.5
1 < n < 1.5
√3
√2.25 = 1.5
√4 = 2
√3 is in between
1.5 < n < 2
Hope this helped!
How can we use the distributive property to find an expression equivalent to
15(x + 2)? Place the steps in order.
CLEAR
Answer:
15x+30
Step-by-step explanation:
multiply 15 and x + multiply 15 and 2
15x+30
What is the sum of the solutions to the equation below?
8x^2 + 2x - 3 = 0
A) 3/8 B) 1/4 C) -1/4 D - 3/8
Answer:
(x−1)43x3−8x2+10 can be resolved into partial fraction as x−1A+(x−1)2B+(x−1)3C+(x−1)4D
So , 3x3−8x2+10=A(x−1)3+B(x−1)2+C(x−1)+D
Put x=1 , we get 3−8+10=D
D=5
Comparing the coefficient of x3 on both sides we get , A=3 .
So equation reduces to 3x3−8x2+10=3(x−1)3+B(x−1)2+C(x−1)+5
Now compare the constant on both sides , 10=−3+B−C+5
=>8=B−C - (1)
Comparing the coefficent of x2 we get −8=−9+B
=>B=1
So , put B=1 in (1) , we get C=−7
Therefore , (x−1)43x3−8x2+10=x−13+(x−1)21−(x−1)37+(x−1)45
Step-by-step explanation:
hope it helps
Find the missing side. Round
to the nearest tenth.
Х
y
390
57
X=[?]
Answer:It's 46.2
Step-by-step explanation:
answer this. pleaaaaseeee
Answer:
look at analysis
Step-by-step explanation:
11. 23.81
12.
part A
y is 12 and x is 4
part B
4
part C
5×12×4
240
What is the surface area of the cylinder with height 8 ft and radius 3 ft? Round your
answer to the nearest thousandth.
A: 186.885
B: 195.004
C: 205.132
D: 207.345
We know that,
The surface of a cylinder is given by,
2πr(r + h)h= heightr= radiusso,
the surface area of the given cylinder would be,
⇢2π*3(3+8)⇢6π*11⇢66π⇢207.345You randomly choose a marble from a jar. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Find the probability of choosing a blue marble.
Answer:
total marbles=3+10+8+4=25 marbles total
10 blue marbles/25 total marbles
10/25=2/5 probability
Step-by-step explanation:
Ben and Carson went to the movies with friends. Ben purchased 3 popcorn and 2 boxes of candy for $41. Carson purchased 1 popcorn and 2 boxes of candy for $29. How much did the popcorn cost?
Answer:
$6
Step-by-step explanation:
B- 3P+2C=$41
C-1P+2C=$29
since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought
12/2=6
since you need to find the price of 1 popcorn you have to divide 12 by 2
please answer it
I need it now
a
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Answer using the 68 - 95 - 99.7 rule.
[ ? ]%
Answer:
2 Answers By Expert Tutors
Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.
How many ways can you place the letters in the word "PASTURE" into groups of four letters without repetition?
Using the permutation formula, it is found that there are 840 ways to place the letters.
The order in which the letters are placed is important, as PAST is a different arrangement that PTAS, for example, hence the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 letters are taken from a set of 7, hence:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
There are 840 ways to place the letters.
More can be learned about the permutation formula at https://brainly.com/question/25925367
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Answer:35
Step-by-step explanation:
Convert 1/5 to the neatest tenth
Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
1 / 5 = 0.20
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 20
Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*
In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:
0.2Answer:
1.1
Step-by-step explanation:
If the digit after tenth is greater then or equal to 5, add 1 to the tenth.
Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5).
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill[/tex]
The equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5) is y = 4 (x - 2)² - 11.
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
The general form of a parabola is,
y = a (x - h)² + k
where (h, k) is the vertex.
Given vertex is (2, -11).
Equation is,
y = a(x - 2)² - 11
Also, given that the parabola passes through the point (0, 5).
Substituting,
5 = a (0 - 2)² - 11
⇒ 5 = 4a - 11
⇒ a = 4
So the required equation is, y = 4 (x - 2)² - 11.
Hence the equation of the given parabola is y = 4 (x - 2)² - 11.
Learn more about Parabola here :
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Tickets for a carnival cost $8 for children and $12 for adults. The carnival sold a total of 233 tickets and collected $2,156. How many children’s tickets were sold?
A.
180
B.
160
C.
73
D.
108
Yes Or No
Mr. Rainey is a new depositor at your institution. He complains that charges for funds transfers are too
expensive
Should his complaint be logged and handled by the Reg E Department?
O Yes
Ο Νο
Answer:Yes
Step-by-step explanation:His complaint is valid.
49
Jerrelle spent $0.60 on five stickers. Each sticker costs the same amount. How much
did each sticker cost?
A
$0.06
B
$0.12
с
$1.20
D $5
Answer:
A. $0.60
Step-by-step explanation:
there are 5 strikers that cost $0.60 each, so the answer is letter A.
.
Ben deposits $1,750 into each of two savings accounts.
Account I earns 2.75% annual simple interest
Account II earns 2.75% interest compounded annually
Ben does not make any additional deposits or withdrawals. Which amount is closest to the difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years?
The difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years is $1.32.
What is the differnce in the interest?Simple interest is when only the amount deposited increases in value.
Simple interest = deposit x interest rate x time
1750 x 0.0275 x 2 = $96.25
Interest earned with compounding = future value - amount deposited.
The formula for calculating future value:
FV = P (1 + r) nm
FV = Future value P = Present value R = interest rate N = number of years1750 x (1/0275)^2 = $1847.57
$1847.57 - $1750 = $97.57
Difference in interest; $97.57 - $96.25 = $1.32
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help please and ty lol
Answer:
A=35.5 degrees
Step-by-step explanation:
Check out the photo. Leave a comment if anything's not clear.
Given the cost function C(x) = 0.81x + 60, 420 and the revenue function R(x) = 1.87x, find the break-even point
Answer:
x = 57,542.8571
Step-by-step explanation:
C(x) = 0.81x + 60,420
R(x) = 1.87x
At break even point, Cost function and revenue function becomes equal.
-> C(x) = R(x)
-> 0.81x + 60,420 = 1.87x
-> 60420 = 1.87x - 0.82x
-> 60420 = 1.05x
-> x = 60420/1.05
-> x = 57,542.8571
Thus, at break even point x = 57,542.8571
Which graph shows the line that best fits the data points given?
I need it ASAP
Please and Thank You! :)
Answer:
c
Step-by-step explanation:
the line goes thru most of the points and it's in the same direction also bc i had that same question a couple days ago