Answers
A, B, C, and E are not polynomials.
A polynomial is an expression involving exponents, constants, and variables, so long as:
You are not dividing by a variable.
You are not raising a variable to a power of a negative number.
You are not raising a variable to a power of a fraction.
You are not taking the root of a variable.
Only one of these satisfies the criteria for a polynomial, and that is D. However, the 2nd term, 0x^2 is an unnecessary term, and would only be included if dividing this polynomial by another polynomial.
Related Questions
Carlos swam to the bottom of a pool that is 12 ft deep. What is the opposite of Carlos's elevation relative to the surface
Answers
Answer:
The opposite of Carlos's elevation would be +12ft.
Step-by-step explanation:
This question is using positive and negative integers to represent elevation and descending. The surface of the pool would represent an elevation of 0, where we are level. However, when Carlos descends (swims to the bottom) of the pool, he is at an elevation of -12 because he is below the surface. The opposite of -12 would be +12. So the opposite of where Carlos is -12ft below the surface of the water would be +12 foot above the surface of the water.
Write a function rule for the given graph identify the value of y when x=12
write out the steps
Answers
Answer:
y=8
Step-by-step explanation:
We need to find the equation for the line.
The first step is to find the slope
We need 2 points (0,2) (2,3)
slope = (y2-y1)/(x2-x1)
= (3-2)/(2-0)
= 1/2
We know the y intercept ( where it crosses the y axis) at 2
Lets use the slope intercept form of the line
y= mx+b
y = 1/2 x+2
If we want to find the value of y when x =12 , substitute the value of x=12
y =1/2 * 12 +2
y = 6+2
y=8
Please answer both questions and show all your work. I am in a hurry... please...
1) To finish an order in time the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. In how many days was the company supposed to finish the order?
2) If eight people share equally in an inheritance, what percent of the inheritance belongs to three people? What percent belongs to them if two of the people are disinherited? By what percent does each person’s share of the inheritance increase?
Answers
Answer: 1) 9 days
2) a)37.5%
b)50%
c) 33.33%
Step-by-step explanation:
1) - Let's call:
x: number of days the company supposed to finish the order.
- You know that the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. Therefore, you can express this as following:
[tex]40x=(40+20)(x-3)\\40x=60(x-3)[/tex]
- Solve for [tex]x[/tex]:
[tex]40x=60x-180\\-20x=-180\\x=9[/tex]
(The answer is 9 days)
2) a) The percent that belongs to three people if eight eight people share equally in an inheritance, can be calculated as following:
[tex]\frac{3}{8}*100=37.5[/tex]%
b) The percent that belongs to three people if six people share equally in an inheritance (because two of the people are disinherited) can be calculated as following:
[tex]\frac{3}{6}*100=50[/tex]%
c) - The increase goes from 1/8 to 1/6, therefore, you must subtract them:
[tex]\frac{1}{6}-\frac{1}{8}=\frac{1}{24}=0.04167[/tex]
- Divide the result by 1/8 and multiply by 100 to obtain the percent:
[tex]\frac{0.04167}{\frac{1}{8}}*100=33.33[/tex]%
A city has 3 new houses for every 7 old houses. If there are 15 new houses in the city, how many old houses are there? A. 37 B. 35 C. 33 D. 38
Answers
The solution is Option B.
The number of old houses in the city are 35 houses
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The number of new houses = 3
The number of old houses = 7
So , the ratio of old houses to new houses = number of old houses : number of new houses
Substituting the values in the equation , we get
Ratio of old houses to new houses = 7 : 3
Now , the number of new houses = 15
So , the number of old houses A is given by the proportion equation ,
7 : 3 : : A : 15
On simplifying the equation , we get
7/3 = A / 15
Multiply by 15 on both sides of the equation , we get
A = ( 7 x 15 ) / 3
A = 7 x 5
A = 35 houses
Therefore , the value of A is 35 houses
Hence , the number of old houses is 35
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Final answer:
The correct number of old houses is found by determining how many times the 3:7 ratio of new to old houses fits into the 15 new houses and then applying that to the 7 old houses in the ratio, which results in 35 old houses.
Explanation:
The question asks to find the number of old houses in a city given the ratio of new to old houses and the number of new houses. There is a ratio of 3 new houses for every 7 old houses. If there are 15 new houses, we need to find how many times the ratio fits into the number of new houses and then apply that same multiplier to the number of old houses.
To find this, we divide the number of new houses by the number of new houses in the ratio:
Number of times the ratio fits = 15 new houses ÷ 3 new houses per ratio = 5 times
Now, we multiply the number of old houses in the ratio by 5:
Number of old houses = 7 old houses per ratio × 5 times = 35 old houses
Therefore, the correct answer is B. 35.
Determine the standard form of the equation of the line that passes through (-6,6) and (3,-2)
Answers
Considering the expression of a line, the equation of the line that passes through the pair of points (-66) and (3,-2) is 8/9x +y= 2/3.
Linear equation
A linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points in the expression y = mx + b, the value of the ordinate to the origin b can be obtained.
The standard form of the line is Ax +By= C
Equation in this case
In this case, being (x₁, y₁)= (-6, 6) and (x₂, y₂)= (3, -2), the slope can be calculated as:
m= (-2 - 6)÷ (3 - (-6))
m= (-2 - 6)÷ (3 + 6)
m= (-8)÷ 9
m= -8/9
Considering point 2 and the slope, you obtain:
-2= (-8/9)×3 + b
-2= -8/3 + b
-2 +8/3= b
2/3= b
The equation of the line is y= -8/9x +2/3.
Finally, the standard form of the line is 8/9x +y= 2/3
The Ebbinghaus model of human memory may be used to model the amount of acquired knowledge a college student will retain after “cramming” for a final exam. The formula is p=(100-a)e^-b(0.07), where a and b vary from one person to another, and p is the percent of retained knowledge 1/2 day later when the student actually takes the final exam. If a = 20 and b = 1.2 for a typical student, how much of their “crammed” knowledge will that student retain at the moment of taking the final exam?
Answers
Answer: 73.55%
Step-by-step explanation:
p = (100-a) e^-b(0.07)
we have a = 20 and b =1.2
= (100-20) e^-(1.2)(0.07)
= 80(e^-0.084)
= 80(0.919431)
= 73.55%
Answer:
The correct answer is 93.6%
Step-by-step explanation:
Got it right on Edge 2020
Your mother asked you to turn the oven down to 325 degrees Fahrenheit This is 75 degrees fahrenheit less than it was. What was the original temperature
Answers
You turned down the oven to 325 degrees, it was 75 degrees less that it originally was. This means you subtracted 75 degrees from 325 degrees and to find the original number, you have to add the 75 degrees back.
325 + 75 = 400
Say a cookie jar has 35 cookies. It’s 7 cookies less than it originally was. You would get in trouble if your mother discovers 7 cookies are missing. So, you have to replace the 7 missing cookies with other cookies that you found in the house. How many cookies are you replacing?
The jar had 35 cookies, but you replaced the missing 7. In other words, you added 7 to 35. Now, all the cookies are at the original amount of 42.
Thomas earns 15 per hour if he recurved a 10% per hour pay increase how much does Thomas now make per hour
Answers
Answer:
He now makes 16.50 per hour
Step-by-step explanation:
15.00 x .10 = 1.50
15.00 + 1.50 = 16.50
If you need 3 hot dogs for every 5 people and 1,200 people show up how many hot dogs would you need
Answers
Answer:
I'd say about 720 hotdogs.
Step-by-step explanation:
HELP please explain to me how to get this.
Which of the following represents a function?
Answers
Answer:
option A : graph is a function
Step-by-step explanation:
(a) option is given is a graph
For graph , the function should pass vertical line test
Draw vertical line for every value of x
The vertical lines cross only one red point at a time
So the graph is a function
(b) When each input has only one output then it is a function
in option B , input 3 has two output -5 and 0
so it is not a function
(c) in option C , input 3 has two output 14 and 19
so it is not a function
(d) in option d , input -1 has two output -11 and 5
so it is not a function
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record, and needs 18,000 points or more to do so. Write an inequality to determine how many seven-letter words, ww, Sal will need to make to break the record.
Answers
Answer:
x is greater than or equal to 358
Step-by-step explanation:
1. Subtract 100 from 18,000
2. Divide by 50 to get your number of seven letter words
If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.
a:11/5
b:33/15
c:55
Answers
Answer:
55
Step-by-step explanation:
The equation of inverse variation is
y = k/x,
where k is a constant.
We can use the given x- and y-coordinates to find k.
y = k/x
15 = k/11
k = 165
The inverse variation equation for this problem is
y = 165/x
For y = 3,
3 = 165/x
3x = 165
x = 55
Answer:
C
Step-by-step explanation:
given x varies inversely as y then the equation relating them is
x = [tex]\frac{k}{y}[/tex] ← k is the constant of variation
To find k use the given condition x = 11 when y = 15
k = xy = 11 × 15 = 165 , hence
x = [tex]\frac{165}{y}[/tex] ← inverse variation equation
when y = 3, then
x = [tex]\frac{165}{3}[/tex] - 55 → C
Need help with both 18 and 19.
Answers
18. Answer: D
Step-by-step explanation:
First, find the measure of the missing angle.
65° + 57° + x = 180°
122° + x = 180°
x = 58°
Next, match up the angles with the opposite sides:
65° ⇄ Swim
58° ⇄ Bike
57° ⇄ Run
Lastly, put them in order from least to greatest:
57° < 58° < 65°
⇒ Run < Bike < Swim
The only multiple choice option that is correct is Bike > Run.
*****************************************************************************
19. Answer: 22.3°
Step-by-step explanation:
[tex]sin\theta = \dfrac{opposite}{hypotenuse}[/tex]
[tex]sinD= \dfrac{EF}{DE}[/tex]
[tex]sinD= \dfrac{19}{50}[/tex]
[tex]D= sin^{-1}\bigg(\dfrac{19}{50}\bigg)[/tex]
D = 22.3°
HELP ASAP!! ∵ Question in Pictures... ∵ 65 POINTS!
Answers
1. The graph of y=2/3x-2 is the top right corner, the -2 in the equation makes the line cross the y axis at -2
2. The slope is always with x and the y intercept is the second part of the equation.
The equation would be y = 5/6x -3
3. The slope is the change in Y over the change in X
slope = 10-7 / 2 - -1 = 3/3 = 1
Using the line formula y = mx+b, solve for b using the first point and the slope:
7 = 1 (-1)x +b
b = 7+1
b =8
The equation is -x +y =8
4. the jar starts with 6 , then they add 2 each day, multiply 2 by the number of days (x) and add it to 6:
The equation would be y = 2x + 6
5. point (5,9) slope = 2
Point-slope formula is written as y - y1 = m(x-x1)
y1 = 9, x1 = 5, m = 2
equation becomes y-9 =2(x-5)
Answer:
The answer is the first graph
The equation is y = 5/6x -3
The next equation is -x +y =8
The equation after would be y = 2x + 6
And, the final answer is y-9 =2(x-5)
Hope this helps!
A delivery company purchased a new delivery truck for $43,200. The depreciated value of the truck can be estimated by the number of t years in service. If the the truck depreciates at a rate of $7,200 per year, which of the functions ƒ(t) could be used to estimate the truck's depreciated value after t years?
Answers
Answer:
[tex]f(t)=43,200-7200t[/tex]
Step-by-step explanation:
We have been given that a delivery company purchased a new delivery truck for $43,200. The depreciated value of the truck can be estimated by the number of t years in service. The truck depreciates at a rate of $7,200 per year.
This means that after t years truck will depreciate 7200t. To find the truck's depreciated value after t years we will subtract 7200t from the cost of new delivery truck (43,200).
[tex]f(t)=43,200-7200t[/tex]
Therefore, the function [tex]f(t)=43,200-7200t[/tex] could be used to estimate the truck's depreciated value after t years.
The depreciated value of the truck after t years can be estimated by the linear function ƒ(t) = 43200 - 7200t, reflecting a straight-line depreciation method at a rate of $7,200 per year.
To estimate the depreciated value of the delivery truck after t years, we can use a linear equation which reflects a straight-line depreciation method. Since the truck cost $43,200 and depreciates at a rate of $7,200 per year, the equation representing the depreciated value of the truck after t years would be ƒ(t) = 43200 - 7200t. This equation starts with the initial value of the truck and subtracts the depreciation cost multiplied by the number of years the truck has been in service.
Depreciation is a way businesses can allocate the cost of a physical asset over its useful life. In this case, each year the truck is in service, it loses $7,200 in value. After one year, the value of the truck would be $43,200 - $7,200, which equals $36,000, and you would continue to subtract $7,200 for each additional year to determine the truck's value at any given time.
Which points are on the graph of f(x)=(1/3)x ?
Select each correct answer.
(0, 1)
(3, 27)
(−2, 9)
(−1, −1/3)
Answers
Answer:
the only point is (0,1) if u would look at the graph i post
Step-by-step explanation:
The point which lies on the graph of f(x) = (1/3)x will satisfy the function thus point (-1, -1/3) will lie on the graph thus option (D) is correct.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
As per the given function,
f(x) = (1/3)x
Substitute, x = 0,
y = f(0) = (1/3)0 = 0
So,(0,1) will not lie on the graph.
Similarly, (3, 27) and (−2, 9) also do not lie on the graph.
Substitute (-1,-1/3)
-1/3 = (1/3)(-1) = -1/3
Thus, it will be the point of the function.
Hence "The point which lies on the graph of f(x) = (1/3)x will satisfy the function thus point (-1, -1/3) will lie on the graph".
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Please answer this question correctly!!
Answers
f(x) + n - translate the graph n units up
f(x) - n - translate the graph n units down
f(x + n) - translate the graph n units left
f(x - n) - translate the graph n units right
|f(x)| - reflect over x-axis for x < 0.
[tex]f(x)=|x+2|-5[/tex]
Graph g(x) = x
g(x + 2) = x + 2 → translate 2 units left
|g(x + 2)| = |x + 2| → reflect over x-axis for x < 0
|g(x + 2)| - 5 = |x + 2| - 5 → translate 5 units down
Please help!!
Divide. 2 5/8 ÷ 2 1/2 Enter your answer, as a mixed number in simplest form, in the box.
Answers
[tex]2 \frac{5}{8} \div 2 \frac{1}{2} [/tex]
Change the mixed fractions to improper fractions.
To do this, multiply the whole number part by the denominator. Add that to the numerator. Then write the result on top of the denominator.
You would now have:
[tex] \frac{21}{8} \div \frac{5}{2} [/tex]
Change the division sign to a multiplication sign by turning the second fraction upside down.
That is,
[tex] \frac{21}{8} \times \frac{2}{5} [/tex]
The answer is:
[tex] \frac{42}{40} [/tex]
This can be simplified to:
[tex] \frac{21}{20} [/tex]
The simplest form of [tex]2\frac{5}{8}[/tex] ÷ [tex]2 \frac{1}{2}[/tex] is [tex]1\frac{1}{20}[/tex] .
Simplification: Consider,[tex]2\frac{5}{8}[/tex] ÷ [tex]2\frac{1}{2}[/tex]
write the mixed fraction to improper fraction
= [tex]\frac{21}{8}[/tex] ÷ [tex]\frac{5}{2}[/tex]
Now change the division sign to the multiplication sign by writing the second number as [tex]\frac{2}{5}[/tex] .
= [tex]\frac{21}{8}[/tex] × [tex]\frac{2}{5}[/tex]
= [tex]\frac{21}{20}[/tex]
Write the above improper fraction into a mixed fraction.
= [tex]1\frac{1}{20}[/tex]
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Bob has a standard deck of playing cards. If he randomly draws a J, K, 2, and 2, what is the probability that the next card he draws to add to his hand is a K? Please answer in fraction form.
Answers
Answer:
The correct answer has already been given (twice). I'd like to present two solutions that expand on (and explain more completely) the reasoning of the ones already given.
One is using the hypergeometric distribution, which is meant exactly for the type of problem you describe (sampling without replacement):
P(X=k)=(Kk)(N−Kn−k)(Nn)
where N is the total number of cards in the deck, K is the total number of ace cards in the deck, k is the number of ace cards you intend to select, and n is the number of cards overall that you intend to select.
P(X=2)=(42)(480)(522)
P(X=2)=61326=1221
In essence, this would give you the number of possible combinations of drawing two of the four ace cards in the deck (6, already enumerated by Ravish) over the number of possible combinations of drawing any two cards out of the 52 in the deck (1326). This is the way Ravish chose to solve the problem.
Another way is using simple probabilities and combinations:
P(X=2)=(4C1∗152)∗(3C1∗151)
P(X=2)=452∗351=1221
The chance of picking an ace for the first time (same as the chance of picking any card for the first time) is 1/52, multiplied by the number of ways you can pick one of the four aces in the deck, 4C1. This probability is multiplied by the probability of picking a card for the second time (1/51) times the number of ways to get one of the three remaining aces (3C1). This is the way Larry chose to solve the this.
Step-by-step explanation:
Hi There!
Answer:
4/52 (With cards picked before put back.)
3/48 (With cards picked before not put back.)
Step-by-step explanation:
A standard deck of cards is made up of 52 cards.
There are 4 kings in a deck.
4/52
Bob has a 4/52 chance of picking a king.
I don't know if the cards he picked prior to this he put back or not. If he didn't then it's 3/48.
Hope This Helps :)
plz no one ever helps me I need the answer
Which statement is TRUE about 131 ? A) It lies between 12 and 13 on a number line. B) It lies between 11 and 12 on a number line. C) It lies between 10 and 11 on a number line. D) It lies between 9 and 10 on a number line.
Answers
Answer:
B
Step-by-step explanation:
The square root of 131 is 11.445 and so it lies between 11 and 12 on a number line.
See where it goes on a number line below:-
Three different golfers played a different number of holes today. Rory played 9 holes and had a total of 42 strokes. Jordan played 18 holes and had a total of 79 strokes. Rickie played 27 holes and had a total of 123 strokes. Which golfer had the lowest number of strokes per hole? Choose 1 answer:
Answers
Answer:
See below
Step-by-step explanation:
The units are stokes per hole or strokes / hole
Rory: 42/9 = 4.66667Jordan: 79/18 = 4.38889 <<< AnswerRickie: 123/27 = 4.5555Jordan had the lowest number of strokes / hole followed by Rickie and finally Rory.
Answer:
Jordan had the lowest number of strokes per hole
Step-by-step explanation:
1) Total holes played by Rory = 9
Total strokes of Rory = 42
Number of stroke per hole: Rory
[tex]\frac{42 strokes}{9 hole}=4.667 strokes/hole[/tex]
2)Total holes played by Jordan = 18
Total strokes of Jordan = 79
Number of stroke per hole: Jordan
[tex]\frac{79 strokes}{18 hole}=4.389 strokes/hole[/tex]
3) Total holes played by Rickie = 27
Total strokes of Rickie = 123
Number of stroke per hole: Rickie
[tex]\frac{123 strokes}{27 hole}=4.556 strokes/hole[/tex]
4.667 strokes/hole > 4.556 strokes/hole > 4.389 strokes/hole
Rory > Rickie > Jordan
Jordan had the lowest number of strokes per hole
144 flowers in a vase the ratio of yellow to pink flowers is 5 to 6 how many yellow flowers are in the vase
Answers
[tex] \frac{5}{11} \times 144 \: is \: the \: amount \: of \: yellow \: flowers \\ \\ \frac{5}{11} \times 144 = 65.45 = 65[/tex]
therfore there is 65 yellow flowers
In a cube, all the dimensions have the same measure. True or False
Answers
Answer:true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Roberto'S puppy weighed 4.5 pounds at the end of May during June and July the puppy gained 18.63 pounds how much did Roberto's puppy weight at the at the end of July
Answers
Answer: 23.13 lbs
Step-by-step explanation:
Weight in May + Weight gained = Weight in July
4.5 + 18.63 =
23.13 =
NOTE: Make sure to line up the decimal point when adding decimals:
4.50
+ 18.63
23.13
Trevor and Marissa together have 26 t-shirts to sell. If marissa has 6 fewer t shirts than trever, how many t shirts does Trevor have
Answers
PLEASE HELP PLEASE PLEASE
Answers
Answer:
2.5 rad ( to the nearest tenth )
Step-by-step explanation:
the time difference between the given times is 24 minutes
In 1 hour the hand moves 2π radians, hence in 1 minute moves
[tex]\frac{2\pi }{60}[/tex], thus in 24 minutes moves
[tex]\frac{2\pi }{60}[/tex] × 24 ≈ 2.5 radians
look at attachment 10 POINTS!!!
Answers
Answer:
The midpoint of TS is (-1,-3)
The coordinates of M should be (8,18)
Step-by-step explanation:
y = 2x + 3
2y = 4x + 6
The system of equations has _____ solution(s).
A.no
B.one
C.infinite
Answers
If we look at the 2nd equation
[tex]2y = 4x + 6[/tex]
Now we will isolate y and we obtain:
[tex] \frac{2y}{2} = \frac{4x + 6}{2} \\ \\ y = 2x + 3 [/tex]
Since both equations are equivalent, then they must have an infinite amount of solutions.
Please help simple math problem.
Answers
Answer:
the answer is x=5 for a fact
Step-by-step explanation:
Answer:
the answer would be x=5
divide. simplify your answer (2x^4-6x^3+4x^2-3x)*(2x)
Answers
Answer:
[tex]x^3-3x^2+2x-\frac{3}{2}[/tex]
Step-by-step explanation:
We can divide polynomials by other polynomials by dividing each term by the denominator. Remember, when we divide a variable by itself, we must change the exponent in our answer according to exponent rules.
[tex]\frac{ (2x^4-6x^3+4x^2-3x)}{2x}=\frac{2x^4}{2x} -\frac{6x^3}{2x} +\frac{4x^2}{2x} -\frac{3x}{2x} =x^3-3x^2+2x-\frac{3}{2}[/tex]
Answer:
3/2
Step-by-step explanation: