The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
How to determine the domain and the range?The graph represents the given parameters
On the graph, we have the following endpoints
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
The domain
The definition of the domain implies that the domain of a function is the set of x values of the graph.
Recall that
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the maximum
Closed circle at (-2, -1)
Open circle at (-5, -2)
Remove the y coordinates
So, we have
Closed circle at (-2)
Open circle at (-5)
Combine the x values
-2 ≤ x < -5
The range
The definition of the range implies that the range of a function is the set of y values of the graph.
Recall that
Closed circle at (-2, -1)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the smaller larger y value of the endpoints)
Open circle at (-5, -2)
Maximum = (0, 1)
Remove the x coordinates
So, we have
Open circle at (-2)
Maximum = (1)
Combine the y values
-2 < y < 1
Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1
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show your work
PLEASE!
Hey there! :)
Answer:
x = 12.
Step-by-step explanation:
Given:
\(\frac{3}{5} = \frac{x}{20}\)
Cross multiply to solve for x:
3 · 20 = 5 · x
60 = 5x
Divide by 5:
12 = x.
Answer:
so x=12
Step-by-step explanation:
\(\frac{3}{5}=\frac{x}{20}\\ by cross multiplication\)
3×20=5×x
60=5x
dividing 5 on both sides
60/5=5x/5
x=12
i hope this will help you :)
if you can help i would be happy
Answer:
x =8
Step-by-step explanation
8 - 5 + 3 = 9
each week, between $30$ and $50$ students show up for an archery class run by betty and wilma. usually the students break up into groups of equal size for target practice. however, this week, betty noticed that she could not break the students up into multiple groups of equal size. wilma noticed that if she and betty both joined the students in practicing, they still could not break the archers up into groups of equal size. how many students showed up to the archery class this week?
This week 41 students showed up to the archery class that cannot be broken into multiple groups of equal sizes.
Prime numbers are numbers that cannot be divisible by any other numbers besides 1 and itself. Between 30 and 50, there are 4 prime numbers, which are 31, 37, 41, and 43. So, these prime numbers cannot be divided into equal sizes of multiple groups. But by adding 2 (If Betty and Wilma join the students) in 31, 37, and 43 we get composite numbers that can be divided into multiple groups of equal sizes.
So, 41 students showed up to the archery class this week and as 41 is a prime number, Betty and Wilma could not break the archers up into groups of equal size, and even if Betty and Wilma joined the students there will be 43 archers which even is a prime number and thus cannot be divided.
41 is the only possible number of students between 30 and 50 which cannot be broken into groups of equal sizes even if Betty and Wilma join the archers.
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A(0,2) B(2,5) C(-1,7) is a isosceles triangle. What is the length of ab?
Answer: lenght of ab = 98
Step-by-step explanation:
An animal researcher randomly selected 98 dogs and cats and recorded if the napped between 2:00 p.m and 2:30 p.m. The two-way table displays the data.
Suppose an animal is randomly selected. let event c = cat and let event n = nap. what is the value of P(C|N)?
a. 38/98
b. 23/51
c. 47/98
d. 23/38
Answer: D 23/38
Step-by-step explanation:
Probability helps us to know the chances of an event occurring. The correct option is D, 23/38.
What is Probability?Probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
The value of P(C|N) is the ratio of the number of cats taking naps between 2:00 p.m and 2:30 p.m and the total number of cats.
Therefore, the value of P(C|N) is,
P(C|N) = P(C∩N)/P(C)
P(C|N) = 23/38
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convert 145lbs in kg
Answer:
65.7 / 66 kilograms
Step-by-step explanation:
Find the distance between the points (-3, 5) and (6,5)
Answer:
9
Step-by-step explanation:
Since the y coordinates are the same the distance is found by looking at the x coordinates
6 - -3
6+3
9
The distance is 9 units
Original price of a pen $1.99 tax:6%
Answer:
The final price would be 2.11$
Write the property that best matches the following
The property that best matches the equation is the associative property.
What is an associatve property?It should be noted that the associative property simply implies that the way the factors are grouped in a multiplication problem doesn't change the product.
In this case, since it's illustrated that (5 × 3) × 2 = (2 × 3) × 5. They both will give a value of 40.
In this case, the associative property is illustrated.
The complete question is:
Write the property that best matches the following: (5 × 3) × 2 = (2 × 3) × 5.
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models that are based on mathematic formula are called _____ models.
Symbolic models are those that are based on mathematical formulas.
By symbolic model, what do you mean?The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.
What benefits do symbolic models offer?
One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.
Describe domain through an example.
the domain name example.com might be connected to the address 198.102. 434.8.
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Three positive integers are (x - 1), x and (x + 1). If their sum is 105, find the numbers.
The three positive integers are 34, 35, 36
Three positive integers are given as (x-1),x and (x+1)
Sum of these three integers are 105,
As we know the total sum of the three positive integers, we can get the value by adding the three integers to the sum value.
Thus,
(x-1) + x + (x+1) = 105
x - 1 + x + x + 1 = 105
3x + 0 = 105
3x = 105
x = 105/3
x = 35
Then, the integers are (35 - 1) , 35 , (35 + 1)
Therefore, the three positive integers are 34, 35, 36
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How to solve and the answer.
Answer:
The answer is 20
Step-by-step explanation:
There's two ways in which you can do this. The first one, and the simpliest one is finding the derivative of the equation P(x). After finding the derivative, set the dy/dx to be zero (so set the derivative to be zero). Then solve for x. This should give you the point at which there's no increase or decrease in the value of P, thus meaning the point at which its the maximum.
The second method is simply ploting a graph and finding the highest point.
Which answer describes the transformation of f(x)=x^2−1 tog(x)=(x+4)^2−1 ?
A. a vertical stretch by a factor of 4
B. a horizontal translation 4 units to the left
C. a vertical translation 4 units down
D. a horizontal translation 4 units to the right
The transformation of the function \(f(x)=x^2\) \(g( x)=(x+4)^2\)−1 involves a horizontal translation 4 units to the left.
Therefore, the answer is B. a horizontal translation 4 units to the left.
We can see this by comparing the two functions. The function g(x) is the same as f(x) except that the argument of the squared term has been replaced by (x+4). This means that the graph of g(x) is the same as the graph of f(x), but shifted horizontally 4 units to the left.
A function is a mathematical relationship between two variables, typically denoted as f(x). A function takes an input value x and produces an output value y, according to a specific rule or equation.
The input value x is called the independent variable, while the output value y is called the dependent variable. The rule or equation that determines how the input value is transformed into the output value is called the function's formula or expression
Therefore, the answer is B. a horizontal translation 4 units to the left.
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Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.
S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
The probability P(E) is 13/15.
According to the statement
we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
And we have to find the probability P(E).
So, For this purpose
Recall the formula for the probability of an event E in case when all outcomes are equally likely:
P(E)= n(E) /n(S)
in which S is the sample space.
But we have the S = {1, 3, 5, 7, 9},
so, n(S) = Sum of all outcomes / number of outcomes
n(S) = 1+3+5+7+9 /5
n(S) = 25 /5
n(S) = 5 and
For n(E) = Sum of all outcomes / number of outcomes
n(E) = 1+5+7 /3
n(E) = 13 /3
n(E) = 13 /3
Substitute these values in the above written formula then
P(E)= n(E) /n(S)
P(E)= (13/3)/ 5
P(E)= 13 /15
So, The probability P(E) is 13/15.
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Part A Consider the Similar triangles below :
B 4 6, A, 7, C
Q, 12 , P , R
Find the scale factor :
Part B :
Find the length of side PR
Answer:
scale factor = 2
length of PR = 14
Step-by-step explanation:
i hope this helps
endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. what is the probability that an endure all battery selected at random will last more than 610 hours? a) 0.0228 b) 0.9970 c) 0.0030 d) 0.9965 e) 0.0035 f) none of the above.
The probability that an endure all battery selected at random will last more than 610 hours is 0.3%
What is the Z score?
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
Z score is used to determine by how many standard deviations the raw score is above or below the mean, The z score is given by:
\(z = \frac{x - \mu}{\sigma}\)
where,
x = raw score
μ = mean
σ = standard deviation
Given that μ = 500, σ = 40, for x > 610:
z = (610 - 500) / 40
= 2.75
From the normal distribution table, P(z > 2.75) = 1 - P(z < 2.75) = 1 - 0.9970 = 0.0030 = 0.3%
Hence, the probability that an endure all battery selected at random will last more than 610 hours is 0.3%
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hi what’s
0 divid. Ed bye o9sskwnqzjsmmskmsmskq?
A storekeeper of an electronics company may have to deal with many types of materials that may kept in the store. Explain with suitable examples, FIVE (5) classes of materials that a storekeeper may be involved. (25 marks, 400 words)
Storekeepers in electronics companies deal with various types of materials. Five classes of materials include electronic components, raw materials, finished products, packaging materials, and maintenance supplies.
Electronic Components: Storekeepers are responsible for managing a wide range of electronic components such as resistors, capacitors, integrated circuits, connectors, and other discrete components. These components are essential for assembling electronic devices and are typically stored in organized bins or cabinets for easy access.
Raw Materials: Electronics companies require various raw materials for manufacturing processes. Storekeepers handle materials like metals, plastics, circuit boards, cables, and other materials needed for production. These materials are usually stored in designated areas or warehouses and are monitored for inventory levels.
Finished Products: Storekeepers are also responsible for storing and managing finished products. This includes fully assembled electronic devices such as smartphones, computers, televisions, and other consumer electronics. They ensure proper storage, tracking, and distribution of these products to customers or other departments within the company.
Packaging Materials: Packaging plays a crucial role in protecting and shipping electronic products. Storekeepers handle packaging materials such as boxes, bubble wrap, foam inserts, tapes, and labels. They ensure an adequate supply of packaging materials and manage inventory to meet packaging requirements.
Maintenance Supplies: Electronics companies often require maintenance and repair supplies for their equipment and facilities. Storekeepers handle items like tools, lubricants, cleaning agents, safety equipment, and spare parts. These supplies are necessary to support ongoing maintenance activities and ensure the smooth operation of machinery and infrastructure.
Overall, storekeepers in electronics companies deal with a diverse range of materials, including electronic components, raw materials, finished products, packaging materials, and maintenance supplies. Effective management of these materials is crucial to ensure smooth operations, timely production, and customer satisfaction.
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how to calculate rational numbers
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Hi my lil bunny!
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The simplest method to find a rational number between two rational numbers x and y is to divide their sum by 2.
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Have a great day/night!
❀*May*❀
Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be _____.
Answer:
100%
Step-by-step explanation:
The formula to calculate the return on investment is:
ROI=(Net Profit/Total Investment)*100
Net profit=Revenues-expenses=500-(500*0.6)=500-300=200
Total investment=250-(250*0.2)=250-50=200
Now, you can replace the values:
ROI= (200/200)*100
ROI= 100%
According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.
Matt is organising an event. He buys some party bags and some toys for the party bags from a shop. The party bags are sold in packs. There are 105 party bags in each pack. Each pack costs £1.32 The toys are sold in packs. There are 84 toys in each pack. Each pack costs £4.15 Matt buys exactly the same number of party bags as toys. What is the least amount of money he could pay?
The least amount of money he could pay for the conditions that he will for the given information is = £ 3053.4
What about least amount?
In mathematics, the term "least amount" is not commonly used. However, a similar term that is often used is "minimum".
The minimum value of a set of numbers or a function is the smallest value within that set or function. For example, if we have the set of numbers {2, 5, 7, 8, 10}, the minimum value is 2.
Similarly, in the context of optimization problems, we often seek to find the minimum value of a function to achieve the best possible outcome. This can involve finding the minimum value of a cost function in order to minimize the cost of a process, or finding the minimum value of a profit function to maximize the profit of a business.
According to the given information:
Set the number of party bags pack as x , toy pack as y
Since, 105 party bags in a pack , £1.32
84 toys in a pack £4.15.
Hence, 105x = 84y , cost = 105x × 1.32x + 84y × 4.15 = 763.35x
Find the least common multiple
Hence, 84 × 5 = 420 , 105 × 4 = 420
x =4
y =5
least cost = 105 × 1.32 × 4 + 84×4.15 ×5
= £3053.4
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Need help ASAP for math
Answer:
1 and 3 are corresponding angles
Answer:
It is Vertical Angles
Step-by-step explanation:
Because they just are because I know what I'm doing
Please please help me I reallly need help please
Answer:
37, 111, 185, 259
Step-by-step explanation:
each bag has 37 carrots so
37b=c
the big box (made up of 5 small boxes) on the ecg paper measures:
When we measure a ECG waveform the large boxes represents 0.2 seconds.
To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.
In most ECG papers, the standard calibration is as follows:
The horizontal distance (width) of a big box is typically 0.20 seconds.The vertical distance (height) of a big box is typically 0.5 millivolts (mV).
These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.
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pls help i need help
Answer:
4.69, hope this helps, Thank you
help.help.help.pls.pls
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Work Shown:
Solve the equation for y
-13y - 5 = 8
-13y = 8+5
-13y = 13
y = 13/(-13)
y = -1
Then use this y value to compute 4y+7
4y+7 = 4(-1)+7 = -4+7 = 3
Somebody, please help!
What is the value of -2 xy if x = -1 and y = 6?
-12
12
8
26
Answer:
12
Step-by-step explanation:
-2xy
-2(-1)(6)
2(6)
12
Answer:
12
Step-by-step explanation:
-2xy
and we know that x=-1 and y=6 so we just subsitute
-2 (-1) (6)
the answer is 12.
I need help!! please!!
Answer:
Everything except y=ex^2
Step-by-step explanation:
Answer: 1st 4th and 5th are polynomials
Step-by-step explanation:
Any polynomial is something with addition subraction multiplication and non negative powers and/or exponents
PLEASE HELP WITH GOVE BRAINLY
Slope of (10,8) (2,1)
Answer:
slope=7/8
Step-by-step explanation:
8-1/10-2= 7/8