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
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help me please i need this done
Answer:
[tex]7n-6, \: 4n+8[/tex]
Step-by-step explanation:
[tex]+7[/tex] difference.
So it becomes [tex]7n[/tex].
[tex]7(1)+c=1[/tex]
[tex]c=-6[/tex]
Therefore, the nth term becomes:
[tex]7n-6[/tex]
[tex]+4[/tex] difference.
So it becomes [tex]4n[/tex].
[tex]4(1)+c=12[/tex]
[tex]c=8[/tex]
Therefore, the nth term becomes:
[tex]4n+8[/tex]
Answer:
a) 7n-6
b) 4n+8
Explanation:
a) 7 times tables but take away 6 for the start
b) 4 times tables but add 8 for the start
EASY question for y’all mathy people. Easy points! Question in photo!
Answer:
B 1/7^2
D 7^-10 / 7^-8
Step-by-step explanation:
7^-2
We know that a^-2 = 1/a^2
1/7^2 = 1/49
We also know that anything with a power of 2 in the denominator is good
7^-8 / 7^-10 = 7^2
7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69 that is the second answer
Answer:
Step-by-step explanation:
Answers C and D are correct.
Note that in C we have 7^(-8)
---------- ,
7^(-10)
which is equivalent to 7^(-8 + 10), or 7^2, or 49.
Share £90 in the ratio 1:5
HELP ME PLEASE
Answer:
the answer is 15:75
Step-by-step explanation:
(1+5)=6
£90/6=15
So, (1×15):(5×15)
=15:75
Simplify 18x2y/27xy3z
Answer: 2/3xy^-2z
Step-by-step explanation:
18/27 = 2/3
x^2 / x = x
y / y^3 = y^-2
z isn’t changed
Put the variables together after dividing and you get 2/3xy^-2z.
Step-by-step explanation:
do you mean like this?
18x²y/27xy³z =
if yes the answer is like this
18/27 = 2/3
x²/x = x
y/y³ = 1/y²
1/z = 1/z
multiply all and that's the answer
⅔ * x * 1/y² * 1/z =
[tex] \frac{2x}{3 {y}^{2} z} [/tex]
A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend. A. $1.75 + $0.25x ≤ $15 B. $1.75 + $0.25x ≥ $15 C. $0.25 + $1.75x ≤ $15 D. $0.25 + $1.75x ≥ $15
Answer:
A. $1.75 + $0.25x ≤ $15
Step-by-step explanation:
This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.
Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.
Option A is the correct option.
Here,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
We have to find inequality relationship.
What is inequality?
The relationship between two values that are not equal is defined by inequalities.
Now,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
Let Eddie travel x miles.
Therefore, the total charge of taxi cab = $1.75 + 0.25x
And this amount should not exceed the $15 as it is the only amount Eddie has.
Hence the inequality relationship be,
$1.75 + 0.25x ≤ $15.
Option A is the correct option.
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Please help. How can this set be expressed using inequalities?
Answer:
Its the first one
Step-by-step explanation:
10 and x is Greater than -2
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 + 24 = x 18 squared + 24 = x (18 + 24) squared = x squared 18 squared + 24 squared = x squared
Answer:
A triangle has side lengths 18, 24, x.
18 + 24 = x
18 squared + 24 = x
(18 + 24) squared = x squared
18 squared + 24 squared = x squared
Step-by-step explanation:
The right triangle hypotenuse has its length 18² + 24² = x².
What is hypotenuse?In a right triangle, the "side opposite to the right angle is hypotenuse".
According to the question,
In right angle triangle, sides are 18, 24, x. Where 'x' is the hypotenuse of the right angle triangle. In right angle the opposite angle is 90⁰ . In order
to find hypotenuse,
18 + 24 = x
18² +24 =x
(18+ 24) ² = x²
18² + 24² = x²
Hence, the right triangle hypotenuse has its length 18² + 24² = x².
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I need help people please help me
Answer:
Each Cup has 3/8
Step-by-step explanation:
Divide
Do you know the answer? if you do I will follow you mark you the best.
Answer:
16:24 is the answer
Hope it helps:)
Step-by-step explanation:
The initial number of cards were
1x:1x
(Equal red cards and black cards)
So, total of 48 and..
24 red cards
24 black cards
Now, since 8 red cards are removed we have,
24-8= 16 red cards
and 24 black cards
So the ratio of red to black is--
16:24
= 2:3 ( i divided both with 8 to simplify )
Pack 48 48/2 =24
Red= 24 24/24 : 24 / 24
Black = 24 1:1
----------------------------------------------------------------
Pack 48 48/2 = 24
Red= 16 24 / 16 : 24 / 24
Black= 24 1,5 : 1
There's 1,5 black cards for each red card
someone pls help me with this :nth term of 3 4.5 6 7.5 I need the answer asap
Answer:
9.5
Step-by-step explanation:
the numbers go up by 1.5
so, 7.5 + 1.5 = 9
On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12). Write the equation of the function whose graph is shown. y = (x + )2 +.
Answer:
Step-by-step explanation:
You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:
[tex]y=a(x-h)^2+k[/tex] , where h and k are from the vertex and x and y are from the point. Filling in:
[tex]12=a(8-5)^2+3[/tex] and
[tex]12=a(3)^2+3[/tex] and
[tex]12=9a+3[/tex] and
9 = 9a s0
a = 1.
Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:
[tex]y=1(x-5)^2+3[/tex]
Answer:
y = 1 (x + -5 )2 + 3
Step-by-step explanation:
The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is the range of the lengths of the fence?
Answer: 4 feet < Length < 21 feet
Step-by-step explanation:
From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:
Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:
4 feet < Length < 21 feet
Answer:
12.5
its right
Step-by-step explanation:
I need to match each one to each other
Answer
speed : metres per second (a)
perimeter : meters (b)
volume : cubic centimetres (d)
area : square metres (c)
b2 - 7b + 12 = 0
Factored equation: ( ) ( ) = 0
ANSWERS: b = ____, and b = ____
Answer: (b - 4)(b - 3); b = 4 and 3
Step-by-step explanation:
ima assume these are exponents since you didnt care to correctly write the equation.
What two numbers multiply to equal 12, but add to equal -7? That's -4 and -3
So the factored form of this trinomial is (b - 4)(b - 3) = 0. Make each of these expressions equal to 0 in order to get your answer.
answer quick pls ill give 10
Answer:
60
Step-by-step explanation:
360-95-120-85=60
Which of following lies between 0 and -1 ?
Answer:
Step-by-step explanation:
There are many numbers that lie between 0 and -1
Some common numbers are -1/4 , -1/2 , -3/4 , etc.........
Other numbers can be found by multiplying the numerator and denominator by the same number for example, 10
0/1 × 10/10 = 0/10
-1/1 × 10/10 = -10/10
Now the numbers between 0/10 and -10/10 are :
-1/10, -2/10....................................-9/10 etc.
hope this helps
plz mark it as brainliest!!!!!!!
The numbers lies between 0 and -1 shown below:
What is rational number?A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.
To find the number lies between 0 and -1, we have to
0/1 and -1/1
0/1* 10/10 and -1/1*10/10
so, we have to find in between 0/10 and -0/10
-1/10, -2/10, -3/10, -4/10, ............................ -9/10
Hence, the numbers are -1/10, -2/10, -3/10, -4/10, ............................ -9/10.
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If you borrow $500 for 6 years at an
annual interest rate of 7%, how
much will you pay altogether?
If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
Given that principal amount is $500 , years are 6 and rate of interest be 7%.
We are required to find the amount that we have to pay after 6 years if we borrow $500.
Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.
Sum after compounding is given as under:
S=P[tex](1+R)^{N}[/tex]
So we have to just put the values to find the money that we have to pay after 6 years.
S=500[tex](1+0.07)^{6}[/tex]
=500[tex](1.07)^{6}[/tex]
=500*1.5
=$750
Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
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The difference of six times a number and seven results in 35.
Identify the steps necessary to solve the equation.
A.) Subtract 7, and then divide by 6.
B.) Divide by 6, and then subtract 7.
C.) Divide by 6, and then add 7.
D.) Add 7, and then divide by 6.
this is multiple choice
The difference of six times and seven results in 35.
Difference - subtract
Times - multiply
Result - answer
The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.
6x - 7 = 35
The answer would be...
B. Divide by 6, and then subtract by 7.
Point A is the incenter of ΔDEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Angle L D A is 27 degrees. Angle A D M is (3 n minus 6) degrees. What is the value of n? 7 11 14 15
Answer:
The correct option is;
11
Step-by-step explanation:
The incenter is the point where the interior angle bisectors of the triangle meet, hence the interior angles are each bisected into two by the segments DA, EA, and FA respectively
Given that point A is the incenter of ΔDEF, we have;
∠FDE = ∠XDY is bisected by DA which gives ∠XDA = ∠YDA
∠LDA = ∠XDA = 27
∠MDA = ∠YDA = 3··n - 6
Therefore, 27 = 3·n - 6
3·n = 27 + 6 = 33
n = 33/3 = 11°
Answer:
11
Step-by-step explanation:
edge2020
Debra wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 15 inches by 7 inches by 9 inches. She has 1 square yard of fabric. Can she completely cover the footrest? Explain.
Answer:
Yes, she can.
Step-by-step explanation:
We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.
The surface area of a rectangular prism is given as:
A=2(wl+hl+hw)
where w = width, l = length, h = height
The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:
A = 2[(7 * 15) + (9 * 15) + (9 * 7)]
A = 2[105 + 135 + 63]
A = 2 * 303 = 606 square inches
1 square inch = 0.000771605 square yards
=> 606 square inches = 606 * 0.000771605 = 0.468 square yards
Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.
is the ordered pair (-4,3) a solution of the equation y=5x + 21
Answer:
Step-by-step explanation:
If you substitute x = -4 in the equation, you should get the y value as 3
y = 5x + 21
= 5* -4 + 21
= -20 + 21
y = -1 ≠ 3
So, (-4, 3) is not a solution
factorise: 2x + 6y 2x-4 t + 2t squared
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)
19. Triangles ABC and DEF are similar. Find x. SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57
Answer:
#14) x is 95 (155-180= 25, 180-25-60= 95)
#19) my best guess is 4 (DE=7 -> AB=11, a 4 unit increase)
please help i put a picture on top
Answer:
1/8÷7
Step-by-step explanation:
I think
Can someone help me please
Answer:
The answer to number one is 11√17
The answer to number two is 4
Step-by-step explanation:
In number one: once you get both radicands to be equal, then you can add them. Like of it like 3x+2x. The x’s are like terms, so you can add them together.
In number two: the √5 on the top and bottom cancel out. This leaves 12/3 which is equal to 4.
(2x -2)^-3
can anyone help me with this?
Answer: See below
Step-by-step explanation:
When you see that something is to the power of a negative number, it is another way of saying 1 over.
[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]
What is the length of ED
Answer:
ED ≈ 2.6 units
Step-by-step explanation:
Using the Sine rule in Δ DEF
[tex]\frac{FD}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex]
[tex]\frac{6.95}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex] ( cross- multiply )
ED sin115° = 6.95 sin20° ( divide both sides by sin115° )
ED = [tex]\frac{6.95sin20}{sin115}[/tex] ≈ 2.6 ( to the nearest tenth )
In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest
Answer: RS
Step-by-step explanation:
A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.
Because Q is the larger angle in the triangle, Then RS is the longest side.
Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?
Answer:
≈93.6
Step-by-step explanation:
percent right = answers right/ anwers wrong
Answers right= 47-3=44
%=44/47
≈93.6
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half of the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Answer:
C
Step-by-step explanation:
PLATO
So, sin E=0.5. Therefore, option C is the correct answer.
Given that, AB║DE and sinA= 0.5.
We need to find the value of sin E.
How to find the value of sin?The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.
Now, sinA = 0.5
⇒∠A=30°
∠A=∠E=30° (∵∠A and ∠E are alternate angles)
Therefore, option C is the correct answer.
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