Answer:
A fourth degree polynomial:
[tex]2x^{4} + 10x^{3} + 21[/tex]
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example
(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18
This demonstrates closure because 11x^2 + 18 is also a polynomial
Step-by-step explanation:
Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form
Part B: Closure property has been proved in the addition of polynomials
What is Polynomial?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Part A
Example of fourth degree polynomial with three terms is
[tex]x^{4}+2x+20[/tex]
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on
Hence, it is a standard form
Part B
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial
Example
(2x+6)+(5x+2)= 7x+8
Hence, the Closure property has been proved in the addition of polynomial
Learn more about Polynomial here
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what is being displayed ?
Answer: The answer is (2)
Just evaluate the functions with the values of the figure
Write an equation for the line that is parallel to the given line and that passes through the given point. y= 1/2x - 8; (-6,-17)
Answer:
y = x/2 -14
Step-by-step explanation:
Since the lines are parallel, their slopes are equal
For the first line, we have
y = 0.5x -8
so comparing this with the standard form y = mx + c
Our m is the slope which is 0.5 here
kindly recall that 1/2 is same as 0.5
so the slope of the line we want to form also is 0.5
Now, we use the point slope form to find the equation of this new line
Mathematically that would be;
y-y1 = m(x-x1)
So;
y-(-17) = 0.5(x-(-6)
y + 17 = 0.5(x + 6)
y + 17 = 0.5x + 3
y = 0.5x + 3-17
y = 0.5x -14
or y = x/2 -14
Write the equation of the line with a slope of 3 that passes through the point (4, 1).
Answer:
Step-by-step explanation:
y - 1 = 3(x - 4)
y - 1 = 3x - 12
y = 3x - 11
Answer:c
Step-by-step explanation:
What is (2x+3)(x- 8)= 3+2(x- 5)(x + 5)
Answer:
- 23/13
Step-by-step explanation:
first, we do the FOIL multiplication (First, Outer, Inner, Last)
(2x+3)(x- 8)= 3+2(x- 5)(x + 5)
2x(x-8) + 3(x-8) = 3 + 2(x(x+5) - 5(x+5))
2x² - 16x + 3x - 24 = 3 + 2(x² + 5x - 5x -25)
2x² - 16x + 3x - 24 = 3 + 2(x² - 25)
2x² - 16x + 3x - 24 = 3 + 2x² - 50
2x² - 13x - 24 = 3 + 2x² - 50
after that move all component which have x to the left
2x² - 2x² - 13x = 3 - 50 + 24
-13x = 23
x = - 23/13
Answer:
x^3= 11/-7
Step-by-step explanation:
(2x+3)(x- 8)= 3+2(x- 5)(x + 5)=
2x^2-16x+3x-24= 3+2x-10+x+5
-11x-24= -2+3x
-11x^2 -24 = -2+3x
-11x^2-3x = -2+24
-14x^3 = 22
x^3 = 22/ -14
x^3 = 11/-7
how would i solve this?
Answer: C
Step-by-step explanation:
The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.
so the possible integers would be -2 -1 0.
f(n) = 65 - 4n; 29
determine which term produces the given number?
Answer:
9 th term
Step-by-step explanation:
Equate 65 - 4n to 29 and solve for n , that is
65 - 4n = 29 ( subtract 65 from both sides )
- 4n = - 36 ( divide both sides by - 4 )
n = 9
40 points. Topic: Solving a word problem using a system of linear equations of the form y = mx + b A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.17 for each minute of calls. Plan B costs $21 plus an additional $0.12 for each minute of calls. For what amount of calling do the two plans cost the same? ____minutes What is the cost when the two plans cost the same? $_____
Answer:
The plans will cost the same for $260 minutes of calling. These minutes will cost $52.20
Step-by-step explanation:
Plan A: $8 + ($0.17/min)t
Plan B: $21 + ($0.12/min)t
Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:
($0.17/min)t - ($0.12/min)t = $13, or
($0.05/min)t = $13 , so t = 260 minutes. The plans will cost the same for $260 minutes of calling.
Find the cost in this situation: It is $21 + ($0.12/min)(260 min), or $52.20
What is the measure of c?
1489
42°
С
90°
422
489
O 42°
O 48°
O 90°
0 180°
Please help me with this question
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answer:
M=10
n=1
Happy learning,
Applepi101
Which formula gives the zeros of y = sin(x)?
O pi for any positive integer k
0 pi for any integer k
Kpi
2 for any positive integer k
O
kpi
2 for any integer k
Pls mark brainliest,thankyou.
Answer:
b
Step-by-step explanation:
A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.
Answer:
So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.
The answer is 12 guests
Suppose you bought 5 turkey and 7 ham
sandwiches for $38.50. The next day, you buy 6
ham and 4 turkey sandwiches for $32,00. How
much does each type of sandwich cost?
Answer:
turkey: $3.50
ham: $3
Step-by-step explanation:
Use system of equations:
turkey-x ham-y
5x+7y=38.5
4x+6y=32
multiply by 4 on equation 1 and multiply by 5 on equation 2
20x+28y=154
20x+30y=160
-2y=-6
y=3 ham is $3
5x+7(3)=38.5
5x=38.5-21
5x=17.5
x=3.5 turkey is $3.50
Admission to the school fair is $2.50 for students and $3.75 for others. If 2848 admissions were collected for a total of $10,078.75, how many students attended the fair?
Answer:
4031.5
Step-by-step explanation:
During the annual walk for peace, nina walked a total of six miles more than her husband ed. Their combined mileage was 46. Ed's company pledged to donate $1.00 for each mile that ed and nina walked. How many miles did nina walk?
Answer:
26miles
Step-by-step explanation:
Let Nina's husband's (Ed) mileage = x miles
Nina = (x + 6) miles
Combined mileage = 46
Nina's miles + Ed's miles = 46
x + (x+6) = 46
x+x+6 = 46
2x +6 = 46
2x = 46-6
2x = 40
x = 40/2 = 20miles
Nina's husband covered 20miles
Nina covered = x+6 = 20+6 = 26miles
Nina walked 26miles
Bryan’s golf coach suggested he take some golf lessons. The pro at windy fairways charges $20.00 per month plus $10.00 per lesson. The pro at sunny sands charges $100.00 per month for unlimited classes. How many classes does he have to take for both pros be the same price?
Answer:
8
Step-by-step explanation:
(100 - 20) / 10 = 8
Answer: He has to take a class per month from the both pros
Step-by-step explanation:
A student is given three triangles and must determine which triangles are
congruent. The student is also told that C = D = Y. Which of the
following statements is true? Justify your answer.
Answer:
the answer is B, because triangle BCA is a rotation of triangle XYZ.
Step-by-step explanation:
4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z
Answer:
and 4x-5x-4x+3y+7y-3y-8z+10z-8z
-5x+7y-6z :this is the answer
Find the area of the triangle.
a.
620 sq. m
c.
540 sq. m
b.
270 sq. m
d.
980 sq.m
Answer:
[tex]270 \:m^2[/tex]
Step-by-step explanation:
The area of the triangle.
[tex]bh\frac{1}{2}[/tex]
[tex]b \times h \times \frac{1}{2}[/tex]
[tex]20 \times 27 \times \frac{1}{2}[/tex]
[tex]540 \times 1/2[/tex]
[tex]=270[/tex]
The area of triangle would be;
⇒ Area of triangle = 270 m²
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Here, Given that;
Base of triangle = 20 m
Height of triangle = 27 m
Now, We know that;
Area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ Area of triangle = 1/2 × Base × Height
⇒ Area of triangle = 1/2 × 20 × 27
⇒ Area of triangle = 270 m²
Thus, The area of triangle would be;
⇒ Area of triangle = 270 m²
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Simplify the following fraction:147/231
Answer:
7/11
Step-by-step explanation:
Both the numerator and denominator are divisible by 21.
so:
147 divided by 21 = 7
231 divided by 21 = 11.
When they are re-assembles to a fraction = 7/11
Hope this helps.
Please mark brainiest
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
Answer:
[tex]|p-q|-(|p|-|q|) = 20[/tex]
Step-by-step explanation:
First let's find the value of 'p-q':
[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]
To find |p-q| (module of 'p-q'), we can use the formula:
[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]
Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]
[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]
Then, evaluating |p-q|-{|p|-|q|}, we have:
[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]
how many servings are in 8 liters of honey if one serving is 1/4 of a liter?
Answer:
32 servings
Step-by-step explanation:
Take the amount of honey and divide by the size of a serving
8 ÷ (1/4)
Copy dot flip
8 * 4/1
32
There are 32 servings
Answer:
32 servings
Step-by-step explanation:
James is working at a place that ships boxes. Each box is rectangular prism that measures 2 ft long, 3 ft
wide, and 2 ft tall. He is loading a small trailer that has 396 cu ft of space. What is the maximum number
of boxes he can fit inside the trailer?
A.66
B.132
C.33
D.12
Answer:
a) 66
Step-by-step explanation:
16.) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket?
Answer:
adult tickets are $8 and student tickets are $14
Step-by-step explanation:
to find the price of adult and student tickets, first look at all the given values:
a = adult tickets
s = student tickets
so: 4a + 5s = 102
and : 7a + 5s = 126
since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:
126-102 = 24
there are 3 more adult tickets in the equation with a total of 126, therefore:
24 / 3 = 8
that means each adult ticket is work 8 dollars.
now substitute this value:
4(8) + 5s = 102
32 + 5s = 102
you can solve this by concluding that 102- 32 is 70
that means 5(s) has to equal 70
so 70 / 5 = s
70/5 = 14
so the value of s = 14 and the value of a = 8
What is the perimeter of the trapezoid?
Answer:
17
Step-by-step explanation:
2+7+4+4 = 17
Add all of the sides hence perimeter
calculate using unit squares
Which is the equation of the graphed line written in standard form? y = x x – x minus StartFraction one-half EndFraction y equals 0.y = 0 x – y = 0 y = y equals StartFraction one-half EndFraction x.x
Answer:
its is C. X-Y= 0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
plz let me know if this is incorrect
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
C - 13
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
No need
Which represents a function
Now your teacher is hosting a picnic for their family and discovers that 30 relatives are coming to the picnic and everyone wants to eat 2 hot dogs! What is the least number of packages of hot dogs and hot dog rolls that your teacher will have to buy to feed all her relatives?
Answer:
6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.
In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.
Step-by-step explanation:
Hello,
There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.
My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.
To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.
2 hot dogs = 1 person
y hot dogs = 30 people
y = (30 × 2) / 1
y = 60 hot dog.
Therefore, the guest would most likely consume at least 60 hot dogs at the party.
However, in a single hot dog package, it contains 10 hot dogs in it.
Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.
To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.
Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.
Number of package she needs = 60 / 10
Number of package she needs = 6
Therefore, my teacher requires 6 hot dog package.
But some hot dogs comes in 8 rolls per package
Using the same method above,
Number of rolls she needs = 60 / 8
Number of rolls she needs = 7.5 approximately 8 rolls
in a basket of fruits there are 9 bananas 7 mangoes 2 pineapples. What fraction of the fruits are pineapple?
Answer:
1/9
Step-by-step explanation:
9 bananas 7 mangoes 2 pineapples. = 18 pieces of fruit
Fraction of fruit that is pineapple
pineapple / total
2/18
Simplifying
1/9
Answer:
1/9
Step-by-step explanation:
To start off, add all of the known fruit amounts in order to find the total amount of fruit.
9 bananas +7 mangoes + 2 pineapples
When you do this, you find that the total fruit is 18
In order to know probability, you must divide the desirable outcome by the total possible outcomes.
The desirable outcome is pineapple. There are 2 pineapples. The total possible outcomes are 18.
2/18
You can simplify this fraction so that it becomes 1/9 by dividing the numerator and the denominator by 2
Please give me Brainliest, I have not got it yet but I have been working for it as hard as I can.
The diagram below is a scale drawing of a building and the parking lot outside of it. A scale factor of 1cm= 6ft was used to make the drawing
What is the area of the parking lot
Plz help this makes no sense to me
Answer:
8,181 ft^2
Step-by-step explanation:
Area of the parking lot = Area of the whole structure - Area of the building
The building is a square of 12cm by 12cm
which is 72ft by 72ft since 1 cm is 6 ft
its area is thus 72 * 72 = 5,184 ft^2
The structure measures 16.5 cm by 22.5 cm
Multiplying the sides by 6, we have 99 ft by 135 ft
So its area is 99 * 135 = 13,365 ft^2
The area of the parking lot = 13,365 - 5,184 =
8,181 ft^2
