The graph representation of the function f(x) is below.
Define the term Graph?A graph in x-y axis plot is a visual representation of mathematical functions or data points on a Cartesian coordinate system.
Given function; \(f(x) = x^3 - 3x^2 - 4x\)
We can find the,
Factors of f(x) are, \(x(x+1)(x-4)\)
Roots of f(x) are x=0, x= -1, and x= 4
On the x-axis, the graph rises through -1 before falling and crossing through 0. Through 4, it turns up once more before heading toward positive infinity to complete.
The plotted graph of the function f(x) is represented below.
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The Roots of f(x) are x=0, x= -1, and x= 4 and the graph representation of the function f(x) is below.
Define the term Graph?A graph in x-y axis plot is a visual representation of mathematical functions or data points on a Cartesian coordinate system.
Given function; \(f(x) = x^3 - 3x^2 - 4x\)
We can find the,
Factors of f(x) are, x (x+1) (x-4)
Roots of f(x) are x=0, x= -1, and x= 4
On the x-axis, the graph rises through -1 before falling and crossing through 0. Through 4, it turns up once more before heading toward positive infinity to complete.
The plotted graph of the function f(x) is represented below.
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What is the equation of a line that passes through the point(0, 3) and has a slope of 2
Answer:
the equation of a line that passes through the point(0,3) answer is 1.5
Step-by-step explanation:
At the city Museum child admission is $6.20 an adult admission is $9.90 on Sunday 142 tickets were sold for a total sales of $1183.80 how much adult tickets were sold that day
Answer:
82
Step-by-step explanation:
Set the number of adult tickets sold as x. Then, the number of tickets for children would be 142-x
The total cost of all the tickets would be:
6.2(142 - x) + 9.9(x) = 1183.80
Simplify and solve
3.7x + 880.4 = 1183.8
3.7x = 303.4
x = 82
So, the answer is 82 tickets.
tia earns $552 per week. of this amount, 12% is deducted for taxes. $(blank) is deducted each week.
A. 6.62
B. 55.20
C. 66.24
D. 485.76
Answer:
ddddDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Answer: D.485.76
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
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Find a solution to the linear equation y=2x+18 by filling in the boxes with a valid value of x and y. PLEASE REPLY SOON. I am doing a test. Thank YOu
Answer: (20)=2(1)+18 or (54)=2(18)+18
An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sink hole without falling in so you use congruent triangles. You have one piece of rope that is 50 ft. long and another that is 70 ft. long. You pick a point A on one side of the sink hole and B on the other side. You tie a rope to each spot and pull the rope out diagonally back away from the sink hole so that the other ends of the two ropes meet at point C. Then you recreate the same triangle by using the distance from AC and BC and creating new segments CE and CD. The distance DE is 52.2 ft.
a. What type of triangles have you created?
b. How do you know the triangles are congruent?
c. How far across is the sink hole?
d. What is the perimeter of the triangle ABC?
A) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
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Answer:
Step-by-step expA) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?
A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
lanation:
Is this correct or incorrect …..
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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VERB TENSE!!
PLEASE HELP
For each of the following sentences, identify whether the verb tenses are helping convey time, sequence, condition, or state.
1. We walk through the forest in search of tree kangaroos.
2. We flew to Papua New Guinea and will drive to the camp.
3. The men had to capture the animal before examining it.
5. I will be delighted to be done with this project.
Answer:
1 verb:walk present tence
2 verb:flew past tence
3 verb:had past tence I think
4 verb:will future tence
What three ratios are equivalent to 11:1
To solve this problem you must apply the proccedure shown below:
1. You have the following ratio given in the problem above:
11:1
2. You can rewrite that ratio as below:
11/1=11
3. Then, to find three equivalent ratios, you only need to multiply the numerator (11) and the denominator (11) by the sam number. Therefore, you have:
11x2/1x2=22/2=11
11x3/1x3=33/3=11
11x4/1x4=44/4=11
Therefore, as you can see, the answer is:
22:2
33:3
44:4
To solve this problem you must apply the procedure shown below:
1. You have the following ratio given in the problem above:
11:1
2. You can rewrite that ratio as below:
11/1=11
3. Then, to find three equivalent ratios, you only need to multiply the numerator (11) and the denominator (11) by the sam number. Therefore, you have:
11x2/1x2=22/2=11
11x3/1x3=33/3=11
11x4/1x4=44/4=11
Therefore, as you can see, the answer is:
22:2
33:3
44:4
If
I
- 9 = 12, what is the value of k?
O A. 1
O B. 7
O C. 9
O D. 63
what is 3.8 divided by 34.2
Answer: 0.11 repeating
Hope this helps :)
Step-by-step explanation:
Help pls I rlly need help it’s important
Answer:
2. 112
3. 78
5. 672
7. 149.8
9. 17.5
10. 19360
11. 64 000
13. 29
14. 350240
15. 386
16. 224
17. 0.9071847
Step-by-step explanation:
Determine the slope for the line below
Answer:
C : 20
good luck, hope this helped!
ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?
Airplane 1 had the fastest rate of descent during its landing.
To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.
Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:
-130 ft/s × 60 s/min = -7800 ft/min
Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:
(-97/8) ft/s × 60 s/min = -729.375 ft/min
Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:
-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)
Therefore, Airplane 1 had the fastest rate of descent during its landing.
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Please answer
2x^2+7x+3=0
Answer:
x+-(1)/(2),-3
Step-by-step explanation:
Thank you:)
Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ = 64 and o = 12; n = 9
The standard deviation of the data sample is 2.55.
What is the standard deviation of the data sample?The standard deviation of the data sample is calculated by applying the following formula;
S.D = √ (x - μ)²/(n - 1)
where;
μ is the mean of the distributionx is the sample datan is the number of sample dataThe given parameters;
mean, μ = 64
x, = 12
number of samples = 9
The standard deviation of the data sample is calculated as;
S.D = √ (12 - 64)²/(9 - 1)
S.D = 2.55
Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.
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Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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Put the numbers in order from least to greatest.
Answer:
1. 5/12, 50%, 0.55
2. 0.1%, 0.01, 1/10
3. 0.3, 33%, 1/3
4. 0.102, 90%, 11/12
Step-by-step explanation:
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help.............................
The value that 800 is meant to represent in the function L ( h) is A The value 800 represents the y-intercept of the function and the initial amount of lumber, in boards.
What does the y - intercept show ?The y-intercept serves as a pivotal point where the trajectory of a graph intersects the y-axis. It manifests as the specific value of the dependent variable (y) at the precise moment when the independent variable (x) assumes the value of zero.
What this means is that in the function, L ( h) which shows the lumber remaining per hour, 800 would be the original number of lumber that they started with.
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Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.
BC = 2
AB=
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negative 4th power. Need the answer fast.
Answer:
\( 3^{-3} \) ÷ \( 3^{4} \)
Step-by-step explanation:
Evaluate \( 3^3 \) ÷ \( 3^{-4} \), then evaluate each given expression to find which of them will give us the same result.
\( 3^3 \) ÷ \( 3^{-4} \)
\( 27 \) ÷ \( \frac{1}{3^4} \) (recall: \( a^{-x} = \frac{1}{a^x} \)
\( 27 \) ÷ \( \frac{1}{81} \)
\( 27 * \frac{81}{1} \) (changing from division operation to multiplication by flipping the fraction to our right upside down)
\( 27 * 81 = 2,187 \)
Let's compare the expressions in the given options to the value we got above:
Option 1: 3*3⁶
= 3*729 = 2,187 (this is equal)
Option 2: 3⁷ ÷ 3⁰
= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)
= 2,187 (this is equal)
Option 3: 3³ * 3⁴
= 27*81 = 2,187 (this is equal)
Option 4: \( 3^{-3} \) ÷ \( 3^{4} \)
\( \frac{1}{3^3} \) ÷ \( 81 \)
\( \frac{1}{27} \) ÷ \( 81 \)
\( \frac{1}{27} * \frac{1}{81} \) (changing from division to multiplication)
\( = \frac{1*1}{27*81} \)
\( = \frac{1}{2,187} \) (not equal)
\( 3^{-3} \) ÷ \( 3^{4} \) i not equal to \( 3^3 \) ÷ \( 3^{-4} \).
The expression that is not equal to the given expression is; 3⁻³ × 3⁴
Laws of Exponents
We are given the expression; 3³ ÷ 3⁻⁴
According to laws of exponents, x⁵ ÷ x² = x⁽⁵ ⁻ ²⁾
Thus; 3³ ÷ 3⁻⁴ = 3⁽³ ⁻ ⁽⁻⁴⁾⁾ = 3⁷
Let us look at each of the options;
A) 3 × 3⁶ = 3⁽¹ ⁺ ⁶⁾Adding the exponents gives ⇒ 3⁷
B) 3⁷ ÷ 3⁰ = 3⁽⁷ ⁻ ⁰⁾Subtracting the exponents gives ⇒ 3⁷
C) 3³ × 3⁴ = 3⁽³ ⁺ ⁴⁾Adding the exponents gives ⇒ 3⁷
D) 3⁻³ × 3⁴ = 3⁽⁻³ ⁺ ⁴⁾
Subtracting the exponents gives⇒ 3
Looking at the options, the only one that is not equal to the given expression is; 3⁻³ × 3⁴
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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I need help with some homework
Answer:
no because they are just types of blood
what is the measurement of jkl
Answer:
The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.
Step-by-step explanation:
Please mark as brainliest!
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
neeed hellpp Asap i have 15min left
Answer:
a
Step-by-step explanation:
Answer:
A I believe
Step-by-step explanation:
A I believe.
Which terms in the following expression are like terms?
x3 + 5x - 3x + 3y + 4 - 1
3x and 3y
x 3, 3x, and 3y
5x and 3x, and 4 and 1
x 3 and 3x, and 4 and 1
9514 1404 393
Answer:
(c) 5x and 3x, and 4 and 1
Step-by-step explanation:
Like terms have the same variable(s) to the same power(s).
The terms of this expression are ...
x^3: variable x, power 35x: variable x, power 1-3x: variable x, power 13y: variable y, power 14: no variable-1: no variableThe like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.
PLS HELP ME !!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
All sides make a cube
Answer:
D
Step-by-step explanation:
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2