Answers
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~Here, for each value of x, we have a unique value of y. so we can conclude that it's a function.
or
Draw vertical lines all over the graph, if the vertical lines cut the curve once then it is a function, and if more than once then it isn't a function.
Since the lines cut the curve once everytime, it is a function
Domain :It's a continuous function that extends to infinity on both sides, so it's domain is :
\(\qquad \sf \dashrightarrow \: ( - \infin , \infin)\)
Range :It's a parabolic function with least value of y = -3 and extends to infinity upwards.
so it's range is :
\(\qquad \sf \dashrightarrow \: ( - 3 , \infin)\)
Y - intercept :The point where it cuts the y - axis is (0 , 1), so y - intercept = 1
Zeros :The values of x at which the function cuts the x - axis are the zeros of the given function.
[ In the given graph t isn't specified properly at what points it cut x - axis, but the range in which they lie are : 1st zero : between 0 and 1, 2nd zero : between 3 and 4. ]
So, the approximate values are : 0.25 and 3.75
Value of F (1) = ?If we plug the x - coordinate as one, it's y - coordinate will be -2 on the given curve.
Related Questions
It is an algebraic equation. I want answers and very very brief explanations.
Answers
The expressions are simplified to;
1. 5x + 11
2. x - 11
3. x - 11y
4. 4x + 20
5. 5x² - y²
6. 5x² - 5y² - 5y
7. -12y²
8. 4x + 20
9. 4x - 20
10. 8x² - 20xy
How to simply the algebraic expressionsTo simply the algebraic expression, we have to expand the bracket, collect the like terms and then add or subtract them.
From the information given, we have that;
1. 3x + 5 + 2x + 6
collect and add like terms
5x + 11
2. 3x - 5 - 2x - 6
collect and add the like terms
x - 11
3. 3x - 5y - 2x - 6y
collect and add the like terms
x - 11y
4. 6x + 12 - 2x + 8
collect and add the like terms
4x + 20
5. 3x² + 5y² + 2x² - 6y²
collect and add the like terms
5x² - y²
6. 3x² - 5y² + 2x² - 6y
collect and add the like terms
5x² - 5y² - 5y
7. 6x³ - 10y³ + 4x³ - 12y²
collect and add the like terms
-12y²
8. 6(x + 2) - 2(x - 4)
expand the bracket
6x + 12 - 2x + 8
4x + 20
9. 6(x - 2) - 2(x + 4)
expand the bracket
6x - 12 - 2x - 8
4x - 20
10. 6x(x - 2y) + 2x(x - 4y)
expand the bracket
6x² - 12xy + 2x² - 8xy
8x² - 20xy
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Graph the line. pllzzzzzzzz
Answers
Answer:
Step-by-step explanation:
X: -2, -1, 0, 1, 2,...
Y: -2, -1, 0, 1, 2,...
(y=x)
−7=y7 please help me out
Answers
Answer:
Step-by-step explanation:
y=-1
Exact Form:
y = −
\(7 \sqrt{7} \)
Decimal Form: y = −1.32046924 …
A 32 ounce bag of brown rice costs $3.49 cents. What is the price per ounce? ( be sure to round to the nearest cent - or the hundredths place)
Answers
Answer:
9.2
Step-by-step explanation:
When you divided 32 by 3.49 you get 9.16905444126. Look at the second number after the decimal you see that it's bigger than 5, so you round the number before that up.
When you round 2 up, it goes to 2. So your answer is 9.2
when two items are thrown from the same height how does it affect the two in different ways if so
Answers
The height from which any two objects is thrown affects their time of motion, the greater the height, the more time the objects spend in air and vice versa.
What is time of motion?
The time of motion of an object is the time taken for an object to travel from point of projection to the projection plane or it can be said as the time a projected object spent in air.
The time taken for an object dropped from a certain height is calculated as follows;
h = vt + ¹/₂gt²
where;
h is the height from the which the object is droppedv is the initial vertical velocity of the objectt is the time of motion of the objectg is acceleration due to gravitywhen the object is dropped from rest, v = 0
h = ¹/₂gt²
t = √(2h/g)
Thus, the height from which any two objects is thrown affects their time of motion, the greater the height, the more time the objects spend in air and vice versa.
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Which fraction represents 3 inches divided into 4 equal parts?
Answers
Answer:
0.75 inches?
Step-by-step explanation:
I did it on the calculator:
3 divided by 4 = 0.75
PLEASE HELP ME!!!!!.........
Answers
Answer:
C.
Step-by-step explanation:
Trust me.
A cylindrical container has a diameter of 12 inches and a height of 15 inches. What is the volume of this container to the nearest tenth
Answers
Answer: 27,800.0 cm\(^{3}\) / 1,696.5 cu in.
Step-by-step explanation:
So Basically, If the Diameter is 12 and the height is 15 inches, the radius will be 6 inches making the Volume of the cylinder 1696.46 cu in.
Now if we were to round that to the nearest place it'd be 1,696.5 cu in.
However, If you want the answer in cm\(^{3}\) it would be 27,800 cm making the rounded value 27,800.0 cm\(^{3}\).
Hope that helped!
81,94,83,91 what is the median
Answers
Answer:
15.5
Step-by-step explanation:
Answer:
87
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
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how oes the relationship between logarithms and exponential functions help us find solutions
Answers
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Jefferson's method given the information below.
Shift Morning Midday Afternoon Evening
Average number of customers 125 280 460 560
Salespeople to assign
What modified divisor did you use?
Answers
a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:
Shift Morning Midday Afternoon Evening Total
Number of
salespeople assigned 1 3 5 7 16
b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.
What is the standard divisor?The standard divisor shows the ratio of the total population to the number of seats.
The standard divisor gives an insight about the number of people each seat represents.
Standard divisor = Total number of customers / Total number of salespeople
The total number of customers = 1,425
The number of salespeople = 16
a) Standard divisor = 1,425 ÷ 16
= 89.0625
Shift Morning Midday Afternoon Evening Total
Average number of
customers 125 280 460 560 1,425
Standard divisor 89.0625 89.0625 89.0625 89.0625
b) Modified divisor 1.4035 3.1438 5.165 6.288
Number of
salespeople assigned 1 3 5 7 16
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It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
Answers
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.
The number of minutes to read 6.25 pages will be given as,
⇒ 6.25 x 0.8
⇒ 5 minutes
The number of minutes to take the test will be given as,
⇒ 5.5 - 5
⇒ 0.50 minute
⇒ 0.50 x 60
⇒ 30 seconds
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
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All changes saved
Shane invested $3,500 in a savings account that pays 4% interest semiannually (every 6 months). How much
money will he have in his account in 5 years?
Answers
Answer:
$4,266.48
Step-by-step explanation:
Hope this helps.
What is the distance between -4/3 and 1/3
Answers
Answer:
5/3
Step-by-step explanation:
Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } Let sets A and B be subsets of S , where: Set A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 } Set B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } Find the following: The number of elements in the set ( A ∪ B ): n ( A ∪ B ) = The number of elements in the set ( A ∩ B ): n ( A ∩ B ) is
Answers
The values for the sets are -
A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } and n(A∪B) = 14.
A∩B = { 10 , 12 , 14 , 16 } and n(A∩B) = 4
What is sets?
A set is a precisely defined collection or aggregate of all feasible objects with predetermined qualities that are specified in accordance with a precisely defined rule. Elements of sets are the items used to compare sets.
The set S is - S = { 1 , 2 , 3 , ... , 18 , 19 , 20 }
The set A is - A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 }
The set B is - B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }
A∪B is the set of elements of S that are part of A or B, or both.
A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }
Count the number of elements present in set A∪B.
Therefore, n(A∪B) value is 14.
A∩B is the set of elements of S that are common to A and B.
A∩B = { 10 , 12 , 14 , 16 }
Count the number of elements present in set A∩B.
Therefore, n(A∩B) value is 4.
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Which statement about the linear equation 3a + 1 over 3(6a −9) = 1 over 2(10a − 6) is true?
A
The equation has exactly one solution at a = 0.
B
The equation has an infinite number of solutions.
C
The equation has exactly one solution at a = 1.
D
The equation has no solutions.
Answers
The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)
What is a linear equation?A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.
On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.
To justify the above answer, we state the linear equation above:
3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have
3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have
5a -3 = 5a -3
Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.
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Find the measure of Angle j
Answers
A group of hikers tracked how long it took to hike a 20-mile trail. They hiked 3.75 miles in 3 hours, 7.5 miles in 6 hours, and 12 miles in 8 hours.
Determine if the relationship between the hikers' distance and time is proportional.
Yes, it is proportional because the ratios for miles per hour are all equivalent to 1.25 miles per hour.
Yes, it is proportional because the ratios for miles per hour are all equivalent to 0.8 miles per hour.
No, it is not proportional because 3.75 miles in 3 hours is not equivalent to 7.5 miles in 6 hours.
No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.
Answers
Answer:
No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.
Step-by-step explanation:
first lets find out how far they hiked per hour3.75 mi in 3 hourswe need to do 3.75÷3= and we get 1.25 mi an hour now we need to do the next oneit is 7.5 mi in 6 hoursso we are gonna do 7.5÷6=and we get 1.25 mi an hournow lets do the last one12 mi in 8 hourswe are gonna do 12÷9=and we get 1.5 mi in an hourso the 3 hours and 6 hour are proportional so it would be: No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.The correct relationship between the hikers distance and time is;
No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.
What is Proportional?
Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
A group of hikers tracked how long it took to hike a 20-mile trail.
And, They hiked 3.75 miles in 3 hours, 7.5 miles in 6 hours, and 12 miles in 8 hours.
Now,
Find the proportional as;
For hiked 3.75 miles in 3 hours,
Proportional = 3.75 / 3
= 1.25
For hiked 7.5 miles in 6 hours,
Proportional = 7.5 / 6
= 1.25
For hiked 12 miles in 8 hours,
Proportional = 12 / 8
= 1.5
Thus, The correct relationship between the hikers distance and time is;
No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.
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You start at (5, -4). You move down 1 unit. Where do you end?
Answers
Answer:
(5,-5)
Step-by-step explanation:
You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same
Write -3 7/5 as a decimal number
Answers
Hope this helps
-3.875 or -3.88 depending on how many significant figures you're supposed to be using
lighting, inc. uses direct labor hours as a basis for allocating overhead. next year's estimated total overhead is $180000 and direct labor hours are predicted to be $30000 hours. the average labor cost is $10 per. what is the predetermined overhead rate
Answers
Answer:
The predetermined overhead rate is calculated as follows:
Predetermined overhead rate = Estimated total overhead / Estimated total direct labor hours
In this case, the estimated total overhead is $180,000, and the estimated total direct labor hours are 30,000. Therefore:
Predetermined overhead rate = $180,000 / 30,000 hours
Predetermined overhead rate = $6 per direct labor hour
So, the predetermined overhead rate is $6 per direct labor hour.
a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)
Answers
Answer:
7 groups or teams
Step-by-step explanation:
7 x 4 is 28, as close as we can get to 29.
Joni has a box that has a mass of 67 dekagrams.she converts to centigrams.her work is shown below.67/100=0.067.which statement best explains Joni's error.
Answers
hello
according to metric table
1 decagram = 1000 centigram
Joni's mistake was not multiplying by 1000
the answer is option B
Given the sequence rn defined recursively below, find r4.
r1=2
rn=4rn−1−3
Answers
Answer:
\(r_4 = 65\)
Step-by-step explanation:
Given
\(r_1 = 2\)
\(r_n = 4r_{n-1} - 3\)
Required
Find \(r_4\)
Calculating the value of \(r_4\)
This means n = 4;
Hence,
\(r_n = 4r_{n-1} - 3\)
\(r_4 = 4r_{4-1} - 3\)
\(r_4 = 4r_3 - 3\)
At this point, we need to solve for \(r_3\);
Taking n as 3
\(r_n = 4r_{n-1} - 3\)
\(r_3 = 4r_{3-1} - 3\)
\(r_3 = 4r_2 - 3\)
At this point, we need to solve for \(r_2\);
Taking n as 2
\(r_n = 4r_{n-1} - 3\)
\(r_2 = 4r_{2-1} - 3\)
\(r_2 = 4r_1 - 3\)
Substitute 2 for \(r_1\)
\(r_2 = 4 * 2 - 3\)
\(r_2 = 8 - 3\)
\(r_2 = 5\)
Solving for \(r_3\)
Substitute 5 for \(r_2\)
\(r_3 = 4 * 5 - 3\)
\(r_3 = 20 - 3\)
\(r_3 = 17\)
Solving for \(r_4\)
Substitute 17 for \(r_3\)
\(r_4 = 4 * 17 - 3\)
\(r_4 = 68 - 3\)
\(r_4 = 65\)
Hence, \(r_4 = 65\)
A common form for rational numbers means to change all of the numbers to a decimal or a fraction
True or False
Answers
Answer:
I think its......false (I tried)
Step-by-step explanation:
{REPOST: FORGOT TO INCLUDE PICTURE FOR QUESTION 10}
{Question 10} Please help, need this by tonight! Thanks so much :) {Click on picture}
Answers
Answer:
X-intercept: (6, 0)
Y-intercept: (0, -9)
Step-by-step explanation:
Required: Find the X and Y intercept of the standard from equation:
-3x + 2y = -18.
We shall write equation in the form \(\frac{x}{a} +\frac{y}{b} =1\) and find the intercepts on X and Y axis:
-3x + 2y = -18
∴ -3x + 2y = -18
∴ -3x/-18 + 2y/-18 = 1
∴ x/6 + y/-9 = 1
Comparing this equation with \(\frac{x}{a} +\frac{y}{b} =1\), we get:
intercept of X-axis = a = 6
intercept of Y-axis = b = -9
Thanks.
Answer:
The y-intercept for the line is ( 0, -9 ).
Hope this helps!
Step-by-step explanation:
The y-intercept is where the graph intercepts the y-axis and is the y-value of the point, ( x, y ).
47. Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.
Answers
Use the Midpoint Rule Kelly travels 12m/s more than Chris does during the first ten seconds.
What is the midpoint rule?The midpoint rule is the rule that follows the median of a set of values which is the middle value when the values are written in numerical order.
From the table above, the midpoint for the velocity of Chris car = 81, while the midpoint for the velocity of Kelly's car = 93
Therefore, the Kelly's car travelled 93-81 = 12 m/s farther than Chris does during the first ten seconds.
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probability density function
Answers
The area under the curve between two values on the x-axis represents the probability that the random variable falls within that range, with the total area under the curve being equal to 1.
In the graph, the PDF is represented by the smooth curve. The highest point on the curve corresponds to the most likely value of the random variable. In this case, the most likely value appears to be around x = 2.5.
The area under the curve between any two values on the x-axis represents the probability that the random variable falls within that range. For example, the probability that the random variable falls between x = 1 and x = 3 is equal to the area under the curve between those two values.
It's important to note that the probability density function must satisfy the following two conditions:
The total area under the curve must be equal to 1.
The probability of the random variable taking on any specific value is equal to zero, since the function only describes the likelihood of the variable taking on a range of values.
PDFs are often used in statistics to describe continuous distributions, such as the normal distribution, and to make statistical inferences about populations based on samples.
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Jasmine makes $36,000 per year as a teaching assistant. Her monthly check amount is: *
a) $1500
b)$3000
c) $1384.62
d) $692.31
Answers
Answer: A)
Step-by-step explanation:
I need help I will appreciate the answer.
Solve the system of equations below using substitution. y = 2x + 3y = 23
Answers
answer
options-
x+y=3, 2x-8y=19, 2x+y=-2, x+2y=2 hope that helps
Step-by-step explanation: