Which graph represents the function f(x) = 2?
Answers
Answer:
The graph of given function is shown below.
Step-by-step explanation:
The absolute parent function is g(x)=|x|. The graph of parent function is a V-shape d and vertex of the function is origin.
The given function is
.... (1)
The vertex from of an absolute function is
.... (2)
where, a is a constant and (h,k) is vertex of the function.
From (1) and (2) we get
The value of a is -1. The value of a is negative it means the graph of parent function reflect across x-axis.
The vertex of the function is (0,-2). It means the graph of parent function shifts 2 units down.
Related Questions
what is the slope of the line that passes through (-3,-1) and (-5,5)
Answers
Answer:
\(m=-3\)
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Simply plug in the 2 coordinates into the slope formula to find slope m:
\(m=\frac{5-(-1)}{-5-(-3)}\)
\(m=\frac{5+1}{-5+3}\)
\(m=\frac{6}{-2}\)
\(m=-3\)
2y - 6 = -6x, solve for y (must be in form y = mx + b)
Answers
Answer:
y=-3x+3
Step-by-step explanation:
hope this helps :)
Which expression simplifies to 4 √13
√208
√17
√29
√52
Answers
Answer:
√208
Step-by-step explanation:
Step 1: Convert 4 to √
4² = 16
4 = √16
Step 2: Multiply radicals
√16(√13) = √208
Answer:
\(\sqrt{208}\)
Step-by-step explanation:
Getting this answer can simply be achieved by process of elimination. I started dividing \(\sqrt{208}\) by numbers that I knew had perfect squares, and eventually I found 16.
\(\sqrt{208}\)
/\
\(\sqrt{16}\) \(\sqrt{13}\)
\(4\sqrt{13}\)
As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.
What divided by 8 to equal 3
Answers
Answer: 24
Step-by-step explanation: 24 divided by 8 = 3. Hope this helped.
1,344 divided by 6=. step by step explanation pls
Answers
Answer:
Does that help??
Step-by-step explanation:
7 1/2 /(4 1/2-5 1/8) = ?
Answers
A bag contains 4 red, 7 blue and 5 yellow marbles. Event A is defined as drawing a yellow marble on the first draw and event B is defined as drawing a blue marble on the second draw. If two marbles are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form? A. B. C. D. A bag contains 4 red, 7 blue and 5 yellow marbles. Event A is defined as drawing a yellow marble on the first draw and event B is defined as drawing a blue marble on the second draw. If two marbles are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form? A. B. C. D.
Answers
If two marbles are drawn from the bag without replacement the probability of (B|A) expressed in simplest form would be = 5/16.
How to calculate the possible outcome of the given event?To calculate the probability of the given event, the formula that should be used is given as follows;
Probability = Possible outcome/sample space.
For event A;
Possible outcome = 5
Sample space = 4+7+5 = 16
P(A) = 5/16 = 0.3125
For event B:
Possible outcome = 7
sample space = 16-1 = 15
P(B) = 7/15= 0.4667
But;
P(A/B) = P(A∩B) / P(B),
P(A/B) = 0.3125×0.4667/0.4667
= 0.3125 = 5/16
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Which of the following mathematical expressions is written in standard form?
A. x < y + 5
B. 2x + 3y < 12
C. 2y + 6 > 3x
D. 2x + 5 ≤ x - 3y - 7
Answers
Step-by-step explanation:
number2 the answer is a and
number 3 the answer is letter b
80 points!!! Which equation represents f(x)?
Of(x) = -
O f(x) = -3/x-1
O f(x) = -x-1
O f(x) = -x
Answers
Some times it's really very easy to answer the problem just by looking over the given problem.
For the given graph, we need to observe some(or any) point on the graph that can conclude anything to answer the given problem.
Generally we observe x or y-intercepts of the graph first.
Let us observe the y-intercept of the given graph, because we can see a clear picture of y-intercept there.
By looking on the graph, we can see y-intercept is at -1.
Note: y-intercept is a point on y-axis where value of x is 0.
Now let us observe the given functions in the given options.
First option: If we plug x=0 in the given function, we get f(0)=0.
So, y-intercept for first option is 0.
Second option: If we plug x=0, we get a negative -1 inside radical. Cube root of -1 is -1. On multiplying by -1 we get +1.
So, y-intercept for second option is 1.
Third option : If we plug x=0 in that function, we get 0-1 = -1.
So, the y-intercept for third function is -1.
Therefore, function in third option is the correct function for given graph.
Therefore, third option \(f (x) = \sqrt[3]{-x} -1\) is correct option.
F(x) = ∛-x -1
What is the cubic Function?A polynomial equation with a 3-exponent greatest exponent is called a cubic equation. Despite having many more uses for understanding more complex mathematics, such as calculus, cubic equations are frequently employed to calculate volumes.
Given a graph of a cubic function for calculating the cubic function we need to standardize it. since it's a single aggregate graph that standard function would be.
x = a(y + 1 )³
for the value y tends to -1. "a" will be -1.
Hence,
x = -1 (y+1)³
(y + 1 )³ = -x
y+1 = ∛-x
y = ∛-x -1
Therefore, for the given graph F(x) = y = ∛-x -1.
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2. the list below shows the number of coumputer games a store sold each day for the first 11 days it was open 27, 28 , 29, 35, 35, 36, 37, 42, 43,46,79
a) find the five-number summary for the data. show your work (5points: I for each number)
b) use your results from part a to display the data on a box plot
c) use your box plot from part b to find the interquartile range (IQR) of the data
Answers
a. The five-number summary for the data are:
Minimum (Min) = 27.
First quartile (Q₁) = 29.
Median (Med) = 36.
Third quartile (Q₃) = 43.
Maximum (Max) = 79.
b) The data is shown on a box plot below.
c. The interquartile range (IQR) of the data is 14.
How to determine the five-number summary for the data?In order to determine the statistical measures or the five-number summary for the data, we would arrange the data set in an ascending order:
27, 28 , 29, 35, 35, 36, 37, 42, 43,46,79
From the data set above, we can logically deduce that the minimum (Min) is equal to 27.
For the first quartile (Q₁), we have:
Q₁ = [(n + 1)/4]th term
Q₁ = (11 + 1)/4
Q₁ = 3rd term
Q₁ = 29.
From the data set above, we can logically deduce that the median (Med) is equal to 36.
For the third quartile (Q₃), we have:
Q₃ = [3(n + 1)/4]th term
Q₃ = 3 × 3
Q₃ = 9th term
Q₃ = 43
For the interquartile range (IQR), we have:
Interquartile range (IQR) of data set = Q₃ - Q₁
Interquartile range (IQR) of data set = 43 - 29
Interquartile range (IQR) of data set = 14.
In conclusion, a box and whisker plot for the given data set is shown in the image attached below.
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a man paid $8000 for a car since then ,its value has fallen by 25% calculate the current value please help me
Answers
Answer:
$6000
Step-by-step explanation:
so basically, 25% of the 100% value is gone, right? which means that 75% of the value would remain. After that, all is easy. 8000*0.75, since 75% is 0.75, and the answer of that is 6000, so the current value is 6000 dollars.
Help pleaseeee
Aspapppp
Answers
Answer:
the awnser to the question is: 40°
Julio says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 15." What is Julio's number ?
Answers
Answer:
(X-18)-3=15
3x-54=15
3x=15+54
3x=69
x=23
So jubo's number is 23
*twists ankle from jumping* aCK-
Answers
Answer: second sign
Step-by-step explanation:
And what it is you’re saying if either of them are greater, less than or equal to
Since 3/8=0.375 and 1/2=0.5, it leads to 1/2 being greater to 3/8.
two cards are chosen at random from a deck of 52. what is the probability that both cards are numbers (2 through 10) totaling to 12
Answers
The probability is 0.3845.The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.Explanation:
2/52 * 10/52 = 20/52 = 0.3845.
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Interpolate the following data set with linear spline interpolation x i ∣−8.3 ∣1.2∣8.0
y i ∣−43.75∣6.6∣45.36
The linear spline interpolation will give the following value for y in x=−0.9 : (Use as many digits as possible in your calculations) Answer: Question 10 Not yet answered Marked out of 1.00 P Flag question The linear spline interpolation will give the following value for y in x=10.9 : (Use as many digits as possible in your calculations)
Answers
The linear spline interpolation gives the values:
For x = -0.9: y ≈ -4.77For x = 10.9: y ≈ 61.87To perform linear spline interpolation, we need to find the equation of the line between each pair of consecutive data points. Then, we can use these equations to interpolate the desired values.
Given data points:
x = [-8.3, 1.2, 8.0]
y = [-43.75, 6.6, 45.36]
Find the slope (m) and y-intercept (b) for each line segment:
For the line segment between (-8.3, -43.75) and (1.2, 6.6):
m1 = (6.6 - (-43.75)) / (1.2 - (-8.3)) = 50.35 / 9.5 ≈ 5.30
Using the point-slope form of a line, we can substitute one of the points and the slope to find the y-intercept:
b1 = y1 - m1 * x1 = 6.6 - 5.30 * 1.2 ≈ 0.42
So, the equation of the line segment is y = 5.30x + 0.42.
For the line segment between (1.2, 6.6) and (8.0, 45.36):
m2 = (45.36 - 6.6) / (8.0 - 1.2) = 38.76 / 6.8 ≈ 5.71
Using the point-slope form of a line:
b2 = y2 - m2 * x2 = 45.36 - 5.71 * 8.0 ≈ -0.51
So, the equation of the line segment is y = 5.71x - 0.51.
Interpolate the desired values using the equation of the appropriate line segment:
For x = -0.9:
Since -8.3 < -0.9 < 1.2, we will use the equation y = 5.30x + 0.42 to interpolate.
y = 5.30 * -0.9 + 0.42 ≈ -4.77
For x = 10.9:
Since 8.0 < 10.9, we will use the equation y = 5.71x - 0.51 to interpolate.
y = 5.71 * 10.9 - 0.51 ≈ 61.87
Therefore, the linear spline interpolation gives the following values: for x = -0.9: y ≈ -4.77, and for x = 10.9: y ≈ 61.87.
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FINANCIAL MATH (PLEaSE HELPP)
Mr. Jones earns $26.50 per hour. His regular hours are 40 hours per week, and he receives time-and-a-half overtime. Find his total pay for a week in which he works 45 hours.
Answers
To calculate Mr. Jones' pay for the week, we need to consider his regular pay for 40 hours and his overtime pay for the additional 5 hours he worked.
His regular pay for the week would be:
$26.50/hour x 40 hours = $1,060
To calculate his overtime pay, we need to first determine his overtime rate. His overtime rate is time-and-a-half, which means he earns one and a half times his regular pay rate for each hour of overtime. So, his overtime rate is:
1.5 x $26.50/hour = $39.75/hour
Now we can calculate his overtime pay for the week:
$39.75/hour x 5 hours = $198.75
To find his total pay for the week, we just need to add his regular pay and overtime pay:
$1,060 + $198.75 = $1,258.75
Therefore, Mr. Jones' total pay for the week in which he works 45 hours is $1,258.75.
An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answers
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
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PLEASE ANSWER THIS! I WILL MARK BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
WILL REWARD BRAINLIEST PLS HELP ASAP Find the total surface area.
Answers
The surface area of the rectangular prism is 88 square inches.
Given that:
Length, L = 6 inches
Width, W = 2 inches
Height, H = 4 inches
Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as
SA = 2(LW + WH + HL)
SA = 2(6 x 2 + 2 x 4 + 4 x 6)
SA = 2 (12 + 8 + 24)
SA = 2 x 44
SA = 88 square inches
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The state of Kansas has a population of about 2.85 million people. Find the population density
in the people per square mile.
Answers
Answer:
In the state of Kansas, the density of people per square mile is 34.3
Step-by-step explanation:
According to US topographers, the state of Kansas has an area of 213 096 km².
If 1 km² is equal to 0.39 mi², then how much is 213 096 km².
If 1 km² : 0.39 mi².
213,096 km² : 83,107.44 mi²
If the state of Kansas has a population of 2.85 million people, then:
2.85 x10^6 people / 83 107.44 mi² =
34.3 people per square mile.
Given that sin0 =, 8/17what is cos 0?
Enter your answer, as a simplified fraction, in the boxes.
cos 0=
Answers
Answer:
Cos 0 = 15/17
Step-by-step explanation:
.................................................
the state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. in an earlier study, the population proportion was estimated to be 0.21 0.21 . how large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% 85 % confidence level with an error of at most 0.03 0.03 ? round your answer up to the next integer.
Answers
The sample size which is required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03 is equals to the 382.
We have provide that the state education commission wants to draw an estimate on the fraction of tenth grade students that have reading skills at or below the eighth grade level.
Population proportion, p = 0.21
confidence level = 85%
Margin of error = 0.03,
We have to determine the sample size. For determining sample size for estimating a population propotion, using the below formula,
n = (Zα/2)² ×p×(1-p) / MOE²
where MOE is the margin of error
p--> population proportionq = 1-p = 1 - 0.21 = 0.79Zc --> critical value for zUsing the distribution table, Zc for 85% for confidence level where α = 0.15 or α/2 = 0.075 equals to the 1.439.
Substituting all known values in formula we
n = 1.439² × 0.21( 0.79)/ (0.03)²
=> n = 382.2336 ~ 382
Hence, required sample size is 382.
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(a) Estimate the number of boys at Hillview.
Answers
I have 10 bags of potatoes each containing 15 kg of potatoes. I want to make 50 small bags of potatoes each of the same mass . what mass of potatoes does I have to put in each bag
Answers
Step-by-step explanation:
according to the given question
there are 10 bags each have 15kg potatoes so basically, we have 150 kg of poatoes
i want these potatoes to be equally distributed in 50 bags
therefore, mass of potato in 1 bag = total kg's of potatoes÷nuber of bags
mass of potato in 1 bag=150÷50 equals 3 kg
and so, each bag will have mass 3 kg
Answer:
Step-by-step explanation:
You have to count the total weight of potatoes: 10 bags x 15 kg (each bag) = 150 kg. Now, you divide the total weight by the number of bags you want to make: 150 (total weight)/50(# of bags) = 3 kg per bag. So you have to put 3 kg of potatoes in each bag.
In the volume formula, V=Bh, what does the capital B stand for?
Answers
Answer:
B stands for base
Step-by-step explanation:
The B stands for the base of the shape.
how did the time traveller explain how time travel was possible? what is his experimental verification?
Answers
The time traveler explained that time travel was possible by utilizing a time machine that allowed him to manipulate the fabric of space-time.
"The Time Machine" by H.G. Wells, the Time Traveler explains that time travel is possible by using a device he invented called the Time Machine. He describes the concept of the fourth dimension, suggesting that time is like a spatial dimension that can be traversed.
The Time Traveller's experimental verification involves him actually using the Time Machine to travel into the future. He shares his experiences of traveling to the year 802,701 AD, where he encounters two different species: the Eloi and the Morlocks. He provides vivid descriptions of the future society and the physical changes that have occurred over time.
By sharing his personal experiences and observations from his journey, the Time Traveller provides experimental evidence for the possibility of time travel.
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Mark your answers like this. Blue, Grey, Black, Purple, Green, Red.
Answers: Constant, Variable, Expression, Coefficient, Term, and Equation.
Just a fun problem.
(NOTE: Brainliest for the correct answer)
Answers
Answer:
Constant is Purple
Variable is Grey
Expression is Blue
Coefficient is Red
Term is Green
Equation is Black
Step-by-step explanation:
It is a funny problem
Let us revise the meaning of the given names
Constant: It is a numerical termVariable: it is an unknown quantityExpression: it is a mathematics statement with a minimum of two terms and at least one math operation.Coefficient: it is the number of the variableTerm: it is formed from a variable or a number or both multiplied togetherEquation: it is formed from two equal sidesEx:
3 x² + 5x + 7 = 2a - 5 are called equation
[3x² + 5x + 7] and [2a - 5] are called expressions (algebric expression)
[3x²], [5x], [2a] are called terms
[x], [m] are called variables
[7], [-5] are called constants
[3], [5], [2] are called coefficients
Let us answer the question
52x² - 9x + 36 is an expression ⇒ Blue
9x is a term ⇒ Green
7 is a coefficient ⇒ Red
82 is a constant ⇒ Purple
m is a variable ⇒ Grey
52x² - 9x + 36 = 7m + 82 is an equation ⇒ Black
4b+5=1+5b
Anyone know it ??
Answers
Answer:
b = 4
Step-by-step explanation:
4b+5=1+5b
1️⃣Rearrange terms
4b+5=1+5b
4b+5=5b+1
2️⃣Subtract 5 from both sides of the equation
4b+5=5b+1
4b+5-5=5b+1-5
3️⃣Simplify
4b=5b-4
4️⃣Subtract 5b from both sides of the equation
4b=5b-4
4b-5b=5b-4-5b
5️⃣Simplify
-b=-4
6️⃣Divide both sides of the equation by the same term
-b=-4 subtract -1
7️⃣Simplify
b=4
Answer: b=4
Done ✔
Hope this help .
[3 + 3 + 3 + 3 pts) In this exercise you will generalize the binomial distribution.
(a) Show that the number of possible ways in which a set A with cardinality |A| = n can be partitioned into r subsets A1,..., A, with cardinalities n1,..., nr such that ni +...+ nor = n is equal to n! / ni!...n!
Answers
The number of possible ways to partition a set A with cardinality n into r subsets with varying cardinalities is given by n! / (n1! * n2! * ... * nr!).
How can a set A be partitioned into subsets of different sizes?Partitioning a set A into subsets of varying sizes involves calculating the number of possible ways to arrange the elements in the subsets. The formula n! / (n1! * n2! * ... * nr!) accounts for the total number of permutations while considering the specific sizes of each subset.
To understand why this formula works, let's break it down step by step.
Step 1: Counting permutations
The numerator n! represents the total number of permutations of the elements in set A. This is because when we partition a set, the order in which we choose the elements for each subset matters. So, we start with n choices for the first element, (n-1) choices for the second element, and so on, resulting in n! permutations.
Step 2: Accounting for subsets
However, in the numerator, we are overcounting because the order of elements within each subset doesn't matter. To correct for this, we divide by the factorials of the sizes of the subsets (n1!, n2!, ..., nr!). This ensures that each partition is counted only once, irrespective of the order in which the elements are chosen within each subset.
Step 3: Simplifying the formula
Dividing n! by the product of the factorials simplifies the formula, giving us the final result: n! / (n1! * n2! * ... * nr!).
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