The expression has 3 terms, that are
1st term n²
2nd term 2k³
3rd term 3m²
Given that,
The expression is n²+2k³+3m².
We have to find how many terms are in the expression.
A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these. A single term or a collection of phrases can be used to create an algebraic expression. For instance, 4x and y are the two terms in the formula 4x + y.
Take the expression,
n²+2k³+3m²
There are 3 terms
1st term n²
2nd term 2k³
3rd term 3m²
Therefore, The expression has 3 terms, that are
1st term n²
2nd term 2k³
3rd term 3m²
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Select the correct answer. Identify the end behavior and the zeros of function h. h ( x ) = - x 3 − 9 x 2 + 4 x + 96 Based on these key features, which statement is true about the graph representing function h? A. The graph is negative on the intervals ( - 3 , 4 ) and ( 8 , ∞ ) . B. The graph is positive on the intervals ( - 8 , - 4 ) and ( 3 , ∞ ) . C. The graph is negative on the intervals ( - ∞ , - 8 ) and ( - 4 , 3 ) . D. The graph is positive on the intervals ( - ∞ , - 8 ) and ( - 4 , 3 ) .
The statement which is true about the graph representing function h is the graph is positive on the intervals (- ∞, - 8) and (- 4, 3). Option D is correct.
We are given;
h(x) = -x^3 - 9x^2 + 4x + 96
The function is a cubic function.
Since the leading coefficient is negative the graph start from second quadrant.
So, the graph must be positive in the second quadrant.
Let us check the option D;
The graph is positive on the intervals (- ∞ , - 8) and (- 4, 3).
The graph is positive in the second quadrant. So, (- ∞ , - 8) satisfy.
Let's choose any point between -4 to 3 and substitute in the given equation.
Put x = -1 in the given equation;
h(x) = -(-1)^3 - 9(-1)^2 + 4(-1) + 96 = 1 - 9 - 4 + 96 = 84
So, h(x) is positive.
So, option D is correct.
Thus, the statement which is true about the graph representing function h is the graph is positive on the intervals (- ∞, - 8) and (- 4, 3). Option D is correct.
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Help please Iekika is 3/2m tall, which is 4/5 as tall as Shanika. What does 3/2 divided by 4/5 represent in this situation?
Choose 1 answer:
(A) Shanika's height
(B) 4/5 of lekika's height
(C) lekika's height
(D) 3/2 of Shanika's height
Answer:shanikas height
Step-by-step explanation:
Which value es NOT defined
Answer:
It is B
Tangent theta is undefined when cosine theta equals zero. Remember that identity.
solve the file please
By taking the difference between the final distance and the initial distance we will see that the change in the distance is -23/24 feet.
How to get the change in the distance?
First, we should define the system we will use.
Notice that "distance" is defined positive, then when you are behind your friend and when you are ahead, the distances are in both cases positive.
First, you are at (4 + 5/8) feet from your friend, and then you are at (3 + 2/3) feet from your friend.
The difference is given by the final distance minus the initial distance, so we have:
d = (3 + 2/3) ft - (4 + 5/8) ft
We can decompose the mixed numbers into wholes and fractions, so we get:
d = (3 + 2/3)ft - (4 + 5/8) ft
d = (3 - 4)ft + (2/3 - 5/8)ft
d = (-1)ft + (16/24 - 15/24)ft
d = -1 ft + 1/24ft = -23/24ft
So the change in the distance between the end and the beginning is:
d = -23/24ft
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x^x=4
Find the solution
Answer: 2
x = 2
[tex]x^{2}[/tex] = 4
[tex]2^{2}[/tex] = 4
4 = 4
Kakashi is filling his new bookshelf. The shelf holds 40 books. If he fills the bookshelf 4/5 of the way, how many books will Kakashi need?
Answer: 8 books
Step-by-step explanation:
First, she has 40 books.
1) Then she fills 4/5 of it. 4/5 of 40 is 32.
2) (4/5) x (40) = 32.
3) 40 - 32 = 8
4) So she needs to add 8 books.
Hope this helps :)
Please help I was sick and missed out on class.Thank you
Answer:
-1/2
Step-by-step explanation:
(-1-(-5)/(1-9)
(-1 + 5)/-8
4/-8
- 1/2
To calculate the distance between two points, we have to:
We have that the points are: (x₁ = 9, y₁ = -5) and (x₂ = 1,y₂ = -1). To calculate the slope, we apply the following formula:
[tex]\boldsymbol{\sf{m=\dfrac{\Delta y}{\Delta x} \iff m=\dfrac{y_2-y_1}{x_2-x_1} }}[/tex]
Substitute data into the formula and solve:
[tex]\boldsymbol{\sf{m=\dfrac{-1-(-5) }{1-9 }=\dfrac{4}{-8}=-0.5000 }}[/tex]
Slope of the line that passes through the points (9,-5) and (1,-1) is 4/-8.To learn at:https://brainly.com/question/29402342To learn at:https://brainly.com/question/28865634To learn at:https://brainly.com/question/28121859To learn at:https://brainly.com/question/17004654To learn at:https://brainly.com/question/28922474To learn at:https://brainly.com/question/25243069Use the digits -9 to 9 to complete the puzzle below. Try all the combinations. But as you begin doing that, you will realize that in some cases you are looking for factor combinations with a particular sum or difference. You will see that some numbers have to be greater than a particular value in order to produce the product you are looking for. Show your work to confirm your solution.
According to the concept of complex numbers, the solution function is (5 - 6i) (2 + 4i) = (34 + 8i)
Complex numbers:
Complex numbers means a combination of a real number and an imaginary number.
The standard form of complex number is,
a + ib
Where a complex number, where a,b are real numbers and i = √-1.
Given,
Here we have the following complex number expression
(_ + _i) (_ + _i) = 34 + 8i
Here we need find the value of the dashes and the number must lies between -9 to +9.
Let us consider a, b, c and d as the number presented in the dashes then it can be written as,
=> (a + bi) (c + di)
Now, we have to expand this expression then we get,
=> ac + adi + bci + bdi²
Combine the like terms,
=> (ac − bd) + (ad + bc)i
Now, we have to match the coefficients as,
30 < ac − bd < 80
We also know that,
=> ad + bc = 0
Now, we need to pick four integers between -9 and 9 such that these two equations are satisfied.
We also know that
=> ac − bd = 34
=> ad + bc = 8
Therefore, it makes sense to assume b is negative.
After some trial and error, one possible answer is a = 5, b = -6, c = 2, d = 4
Therefore, the expression is written as,
=> (5 - 6i) (2 + 4i) = (34 + 8i)
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Ms. High brought each class a shout-out box. The
length of the box was 2.6 inches and the width was
0.8 inches. What is the area of the shout-out box?
A jewelry store buys a necklace for $75. They decide to mark the necklace up 55% and put it in their store. The store is running a promotion that everything purchased during the month of February will be 15% off. A customer comes in with a coupon that gives them an additional 10% off the sale price (after all other discounts were applied). After all discounts customers will be changed an 8% sales tax. Determine the final cost of the necklace if the customer bought the necklace February 28th and March 1st.
The final cost of the necklace if the customer bought it on February 28th or March 1st is $96.05 or $113, respectively.
How is the final cost determined?The final cost of the necklace purchased on February 28th includes the markup and excludes the promotional and coupon discounts, before adding the sales tax.
Similarly, the final cost of the necklace purchased on March 1st includes the markup and excludes the coupon discount, before adding the sales tax.
February 28 Purchase:Cost price to the store = $75
Markup =55%
Marked-up selling price = $116.25 ($75 x 1.55)
February sales discount = 15%
Promotional price during February = $98.81 ($116.25 x 1 - 15%)
Discount coupon rate = 10%
Discounted price = $88.93 ($98.81 x 1 - 10%)
Sales tax = 8%
Final selling price = $96.05 ($88.93 x 1.08)
March 1 Purchase:Cost price to the store = $75
Markup =55%
Marked-up selling price = $116.25 ($75 x 1.55)
Discount coupon rate = 10%
Discounted price = $104.63 ($116.25 x 1 - 10%)
Sales tax = 8%
Final selling price = $113 ($104.63 x 1.08)
Thus, the customer pays an additional $16.95 if they purchase the necklace on March 1st without the promotional discount, instead of February 28th.
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Please provide as much explanation as you can! TYSM
a) This is a discrete probability distribution because the sum of the probabilities is of 1 and each probability is positive.
b) The distribution is represented by Graph A.
c) The mean is of: 1.559.
d) The standard deviation is of: 1.4
e) The probability that a student is involved in three activities is of 0.151.
f) The probability that a student is involved in three or four activities is of 0.28.
What is the probability distribution?From the table, the distribution is presented as follows:
P(X = 0) = 0.332.P(X = 1) = 0.186.P(X = 2) = 0.202.P(X = 3) = 0.151.P(X = 4) = 0.129.The sum of these probabilities is of:
0.332 + 0.186 + 0.202 + 0.151 + 0.129 = 1.
Since the sum is of one and none of the probabilities is negative, this is a valid discrete distribution shown by Graph A, as it associates each valeu of the input with it's respective probability.
The mean of the distribution is the sum of each outcome multiplied by it's probability, hence:
E(X) = 0 x 0.332 + 1 x 0.186 + 2 x 0.202 + 3 x 0.151 + 4 x 0.129 = 1.559.
The standard deviation is the square root of the sum of the differences squared between each outcome and the mean, multiplied by it's probability, hence:
S(X) = sqrt((0-1.559)² x 0.332 + (1-1.559)² x 0.186 + (2-1.559)² x 0.202 + (3-1.559)² x 0.151 + (4-1.559)² x 0.129) = 1.4.
The probabilities are given as follows:
Three activities: P(X = 3) = 0.151.Three or four activities: P(X = 3) + P(X = 4) = 0.151 + 0.129 = 0.28.A similar problem, also featuring a discrete distribution, is presented at brainly.com/question/27899440
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A football team ran four plays. The first play lost 5 yards. The second play lost 9 yards. The third play gained 12 yards. The last play lost 8 yards. Find the total gain or loss of yards. Select the correct integer.A football team ran four plays. The first play lost 5 yards. The second play lost 9 yards. The third play gained 12 yards. The last play lost 8 yards. Find the total gain or loss of yards. Select the correct integer.
The total loss of yards is 10yards(-10yards)
What is addition of negative and positive integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
There are positive integers e g 1,2,3,5,7,8,11,16 and negative integers -1,-2,-4, -22 e t c
The addition of a negative and positive integers of the same number will give 0 .i.e -5+(+5)=0
similarly -6+(+6)= 0
if the lost yards are represented by negative and the gained yards by positive then,
-5yards-9yards-8yards = -22yards
+12 yards is gained
therefore the total yards lost or gained is
-22+12= -10yards
since it is -10yards then the yards are lost yards.
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What is the answer to c?
Answer:
The answer is 6.5
Step-by-step explanation:
The equation is y=3x-1. Plug in 2.5 as the value for x and solve.
3×2.5=7.5
7.5-1=6.5
If I have a pack of cards and 20 are red, 20 yellow, 20 green and 10 blue, how many cards are needed to be drawn (at random) to ensure that I have 12 cards of the same color?
The number of cards that are needed to ensure that you have 12 cards of the same color is of:
43 cards.
How to guarantee that there are at least one color has 12 cards?The highest number of cards for which at least one color having 12 cards is not guaranteed is obtained as follows:
11 red. (there are 20 red cards, so it is possible to take 11).11 yellow. (there are 20 yellow cards, so it is possible to take 11).11 green. (there are 20 green cards, so it is possible to take 11).10 blue, as there are only 10 blue cards.Hence the number is:
11 + 11 + 11 + 10 = 3 x 11 + 10 = 33 + 10 = 43 cards.
With the next card, that is, the 44th card, it will be ensured that at least one color will have 12 cards.
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 11 people, while each carton
of clothing will help 4 people. Each 20-cubic-foot box of food weighs 40 pounds and each 5-cubic-foot box of clothing
weighs 20 pounds. The commercial carriers transporting food and clothing are bound by the following constraints:
The total weight per carrier cannot exceed 23,000 pounds.
- The total volume must be no more than 9000 cubic feet.
Use this information to answer the following questions.
...
Through linear programming, we find out that the number of cartons of food is 360 cartons and the number of cartons of clothing is 550 cartons.
It is given to us that -
Each carton of food will feed 11 people
Each carton of clothing will help 4 people
Each 20-cubic-foot box of food weighs 40 pounds
Each 5-cubic-foot box of clothing weighs 20 pounds
The total weight per carrier cannot exceed 23,000 pounds
The total volume must be no more than 9000 cubic feet
We have to find out the number of cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be helped.
Let us say that -
The number of cartons of food = x
The number of cartons of clothing = y
According to the given information, the constraints on weight and size can be represented as -
Constraints on weight:
[tex]40x+20y\leq 23000\\= > 20y\leq 23000-40x\\= > 20y\leq -40x+23000\\= > y\leq -2x+1150[/tex]------ (1)
Constraints on size:
[tex]20x+5y\leq 9000\\= > 5y\leq 9000-20x\\= > 5y\leq -20x+9000\\= > y\leq -4x+1800[/tex]----- (2)
We also know that
[tex]x\geq 0[/tex] and [tex]y\geq 0[/tex]
The equation for the help that will be provided with each carton of food and clothing can be represented as -
[tex]11x+4y[/tex] ---- (3)
From equation (1), for weight graph, we have
[tex]y\leq -2x+1150[/tex]
For [tex]x=0[/tex], [tex]y\leq 1150[/tex]
For [tex]y=0, x\leq 575[/tex]
From equation (2), for size graph, we have
[tex]y\leq -4x+1800[/tex]
For [tex]x=0, y\leq 1800[/tex]
For [tex]y=0, x\leq 450[/tex]
For (0,1150), the equation (3) becomes
[tex]11x+4y[/tex]
[tex]= 11*0+4*1150\\= 4600[/tex]
For (360, 550), the equation (3) becomes
[tex]11x+4y\\= 11*360 + 4*550\\= 6160[/tex]
For (450,0), the equation (3) becomes
[tex]11x+4y\\= 11*450 + 4*0\\= 4950[/tex]
Thus, through linear programming, we find out that the number of cartons of food is 360 cartons and the number of cartons of clothing is 550 cartons.
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What is the slope of the line 8x + 3y = 8 – 2x?
The slope of the line, 8x + 3y = 8 – 2x, is -10/3
Determining the slope of the equation of a lineFrom the question, we are to determine the slope of the given equation.
The given equation is
8x + 3y = 8 – 2x
To determine the slope of the line, we will express the equation in the general form of the slope-intercept form of the equation a line.
The general form of the slope-intercept form of a line is
y = mx + b
Where m is the slope
and b is the y-intercept
Expressing the equation in the slope-intercept form of a line
8x + 3y = 8 - 2x
Subtract 8x from both sides of the equation
8x - 8x + 3y = 8 - 2x - 8x
3y = 8 - 10x
3y = -10x + 8
Divide through by 3
3y/3 = -10x/3 + 8/3
Y = -10/3 x + 8/3
By comparison,
m = -10/3
Hence, the slope is -10/3
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wich car take 9 gallons of gas and drives 252 miles
The car which covers 28 miles on 1 gallon of gas that car will take 9 gallons of gas and drives 252 miles.
We know that the relation between distance, speed, and time is given by:
distance = speed * time
speed = distance / time
We are given;
Distance covered by the car = 252 miles
Gas used to cover 252 miles = 9 gallons
We will solve the given problem using the unitary method.
Since for 9 gallons of gas, the car covered a distance of 252 miles.
So, for 1 gallon of gas, the car covered a distance of 252 / 9 miles = 28 miles.
So, the car will drive 28 miles per gallon.
Thus, a car which covers 28 miles on 1 gallon of gas that car will take 9 gallons of gas and drives 252 miles.
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A recording studio charges musicians an additional fee of $50 to record an album studio time cost in additional fee of $75 per hour
write a lean your model that represents the cost C of recording an album as a function of studio time in hours.
use the variable T to represent the number of hours recording studio is used.
Is less expensive to purchase 12 hours of recording time at the studio or a 750 music software program that you can use to record on your own computer
The equation that will be used to illustrate the information regarding the total cost is C = 50 + 75h.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Initial fee = 50
Amount charged by hour = 75
Number of hours = h
The total cost will be:
= Initial fee + Amount for each hour
= 50 + 75(h)
= 50 + 75h
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a track coach creates an obstacle course for his team. the coach plots the locations of the three obstacles on the coordinate plane shown to the right. each unit on the coordinate plane represents three yards. a student starts at Obstacle A. Then runs south to obstacle b, and then runs west to obstacle c. what is the total distance, in yards, the student runs to get from obstacle a to obstacle c?
The Total Distance is 51 yards.
What are Coordinates?Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).
Given:
As, A and B have same x- coordinate
AB = | (y- coordinate of A) - (y- coordinate of B)|
= |5 - (-2)|
= 7
and, B and C have same y- coordinate
AB = | (x- coordinate of B) - (x- coordinate of A)|
= |3 - (-7)|
= 10
Then, Total distance= 7+ 10= 17
and, Total distance in yards = 17 x 3= 51 yards
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Help now Which variables would the scatter plot at the right be most likely to represent?
a.The number of people at a concert and the total concession sales
b.The number of guests at a hotel and the total water consumption
c.The number of siblings a person has and the person's GPA
d.The total number of miles driven and the total gallons of gas used
The variables that the scatter plot is most likely to represent are:
c. The number of siblings a person has and the person's GPA.
What is shown on the scatter plot?A scatter plot is composed by a set of points in the following format:
(Input, Output).
Meaning that the objective of the scatter plot is to find a relation between the output variable and the input variable.
This relation, also classified as association, can be classified as follows:
Positive: as the input increases, so does the output.Negative: as the input increases, the output decreases.No association: the input neither increases nor decreases, it remains oscillating.in this problem, we have an oscillating scatter plot, meaning that it represents variables without any clear relation among themselves.
Hence, option c is correct, as there is no relation between the number of siblings that a person has and the GPA of the person.
For the other three options, they would have been represented by increasing scatter plots.
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Supervisor: "If you switch to the late shift, you will receive a 10% wage increase."
Employee: "Great! I make $12.00 per hour now, and that extra 10% would put me at __________ per hour."
Employee: "Great! I make $12.00 per hour now, and that extra 10% would put me at $13. 20 per hour."
How to find the new wage rate?The supervisor says that should an employee work the late shift, they would be paid 10% more than they are paid now.
This increase in the wage rate is:
= Current wage rate x Increase for late shift
= 12 x 10 %
= $1. 20
The new wage rate for the employee would therefore be:
= Wage rate per hour + Extra if late shift is worked
= 12 + 1. 20
= $13. 20
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Graph the equation 4x−5y=1 by plotting points.
y=4/5x-2/5 is the equation used to plot the graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation is 4x−5y=1
Four times of x minus five times of y equal to one
4x−5y=1
Let us write this equation in slope intercept form
-5y=1-4x
5y=-2+4x
y=-2/5+4/5x
y=4/5x-2/5
x 0 1 2 3
y -2/5 2/5 6/5 10/5
y -0.4 0.4 1.2 2
by using these points we plot the graph.
Hence y=4/5x-2/5 is the equation used to plot the graph.
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Find g(x), where g(x) is the translation 10 units up of f(x) = 8x - 10.
Write your answer in the form mx + b, where m and b are integers.
The translated function is g(x)= 8x+0
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is an association between inputs in which each input is connected to precisely one output. A domain, range exists for every function.
An example of a rule is a function, which produces one output for a single input.
Given:
f(x)= 8x - 10
Now, translation 10 units up
Thus, g(x)= f(x) + 10
g(x)= 8x - 10+ 10
Hence, g(x)= 8x+0
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how many quarts of pure antifreeze must be added to 5 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution?
The number of quarts of pure antifreeze that must be add to obtain a 30% antifreeze solution would be = 15 quart.
What is an antifreeze?Antifreeze is defined as the solution that can be used to lower the freezing point of a liquid based substance.
The percentage solution of antifreeze 1 = 10
The quantity of quart of antifreeze 1 = 5
The percentage solution of antifreeze 2 = 30%
The quantity of quart of antifreeze 2 = x
Using the formula;
if 10% = 5
30% = X
make X the subject of formula:
X = 30×5/10
X = 150/10
X = 15 quarts.
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Find the sum using (+) and (-) chips: -5+1
Answer: The answer is -4
If you use the chips to help illustrate your point, here's a good way to explain it:
Let's say that there are five -1 chips and one +1 chip. In order to use chips, you would have to subtract the chips from each other. Put a -1 chip and a +1 chip together and then take them away (as to subtract them). This would leave you with four -1 chips, thus giving you your answer.
Hope this helps!
Answer:
when two different signs are in numbers if +or_ you I'll substruct or +or+ you I'll added ok
HELP PLEASE!
The following inequalities form a system.
y is greater than or equal to two-thirds times x plus 2
y is less than negative one-third times x plus 1
Which ordered pair is included in the solution to this system?
(−6, −3)
(−6, −2)
(−6, 3)
(−6, 4)
The ordered pair which s included in the solution to this system of inequality y ≥ 2/3x + 2, y < - 1/3x + 1 is (-6, -2) and (-6, 3).
The correct answer option is option B and C
How to solve the system of inequality?y ≥ 2/3x + 2
y < - 1/3x + 1
Check all that applies:
(x, y) = (−6, −3)
(x, y) = (−6, −2)
(x, y) = (−6, 3)
(x, y) = (−6, 4)
It can be seen that x = -6Use this to find the value of yy ≥ 2/3x + 2
substitute x = -6 into the inequality
y ≥ 2/3(-6) + 2
y ≥ -12/3 + 2
y ≥ - 4 + 2
y ≥ - 2
(x, y) = (-6, -2)
y < - 1/3x + 1
substitute x = -6 into the inequality
y < -1/3(-6) + 1
y < 6/3 + 1
y < 2 + 1
y < 3
(x, y) = (-6, 3)
So therefore, the solution to the system of inequality is (-6, -2) and (-6, 3).
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help plsssss
Function f is an exponential function.
x 2 3 4 5 6
f(x) 9 27 81 243 729
What is the ratio of outputs for any two inputs that are 2 units apart? Divide the output for the larger x-value by the output for the smaller x-value.
Answer: 9
Step-by-step explanation:
The ratio of two outputs for any two input values that are 2 units apart is
27
What is a ratio?Ratio refers to fractions of two numbers say a and b written in the form
a / b
How to find the required expressionThe problem involves dividing the output for the larger x-value by the output or the smaller x-value
choosing output for x = 3 and x = 6, the two values are 2 units apart
the outputs are y = 27 and y = 729 respectively
taking the ratios
= 729 / 27
dividing gives the lowest term of the fraction
= 27 / 1
= 27
Hence dividing the output values for x = 3 and x = 6 is 27
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Multiply.
0.01 x 4066.61
OA. 4066.61
OB. 406.661
OC. 40.6661
OD. 4.06661
The solution after the multiplication of 0.01 x 4066.61 is 40.6661
Multiplication
Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. And the word multiply means the repeated addition of groups of equal sizes.
Given,
Here we have the operation 0.01 x 4066.61
Now we have to perform the multiplication operation in it.
While we looking into the given operation, we have identified that there are 4 total decimal places in both numbers.
First, we have to ignore the decimal places and complete the multiplication as if operating on two integers.
The the calculation for the multiplication is shown in the following image.
Now, we have to rewrite the product with 4 total decimal places.
Then we get the answer is 40.6661
Therefore, 0.01 × 4066.61 = 40.6661
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Find a so that the point (-1,5) is on the graph of f(x)=ax^2+2
Answer:
a=3
Step-by-step explanation:
To find a, you plug the known numbers into the given equation (coordinates). f(x) is the same as the y-coordinate.
With that, you get:
5=a(-1)^2+2
Then you solve for a
3=a(-1)^2
3=a(1)
3=a
need help with geometry
According to the concept of polynomial division, the equivalent expression is option (a). x+7 + 26/(x-3)
Polynomial division
Polynomial division refers the process of dividing one polynomial with another.
Given,
Here we have the expression (x² + 4x + 5) / x - 3.
Now, we have to find the equivalent polynomial expression when x - 3 is not equal to 3.
In order to find the equivalent expression, we have to do the following steps:
1. Divide the first term of the dividend by the first term of the divisor
2. Write down the calculated result x in the upper part of the table.
3. Multiply it by the divisor
4. Subtract this result from the dividend
Repeat this 4 steps until no further division.
This process is illustrated below.
According to this process, the equivalent fraction for the given fraction is
x + 7 + 26/(x - 3)
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