Answer: quotient deals with addition and times deal with multiplication
12/(n*4+1)
Date
Name
Linear Equations, Functions, and Inequalities
Finding Solution Sets to Systems of Linear Inequalities
Warm-Up
Identify two solutions for each system of inequalities.
4
*Bonus - Identify one ordered pair that is NOT a solution for each system of inequalities.
Answer:?
Step-by-step explanation:
i need help someone please
9514 1404 393
Explanation:
General information
All of these questions have to do with various translations of the square root function. The first problem deals with the basic function. Other problems translate the graph in various ways.
The basic square root function has its vertex at (0, 0) and is defined for x-values (domain) that are 0 or positive. The resulting y-values (range) are also zero or positive.
The basic function intercepts the x- and y-axes only at the point (0, 0), so both intercepts are 0. Unless the function is reflected vertically or horizontally, its minimum will be at the left end of any interval, and its maximum will be at the right end.
The transformation of a function g(x) to f(x) = g(x -a) +b causes it to be translated 'a' units to the right and 'b' units up. For the functions here, that means the vertex is translated from (0, 0) to (a, b). For the functions here, the vertex values are the limits of the domain and range, so those will be altered accordingly.
Problems
1.
a) The graph is shown in the attachment as f1 (orange).
b) vertex: (0, 0); domain: [0, ∞); range: [0, ∞)
c) x-intercept: 0; y-intercept: 0
d) On the interval [1, 4], the minimum is √1 = 1, and the maximum is √4 = 2.
__
2.
a) The graph is shown in the attachment as f2 (green). The basic function is translated left 1 and down 2.
b) vertex: (-1, -2); domain: [-1, ∞); range: [-2, ∞)
c) x-intercept: 3; y-intercept: -1 (read from the graph)
d) On the interval, [0.5, 5], the minimum is √1.5 -2 ≈ -0.78; the maximum is √6 -2 ≈ 0.45. Min and max values are shown in the table in the second attachment.
__
3.
a) The graph is shown in the attachment as f3 (purple). The basic function is translated up 3.
b) vertex: (0, 3); domain: [0, ∞); range: [3, ∞)
c) x-intercept: (none); y-intercept: 3 (the vertex)
d) On the interval, [2, 4], the minimum is √2 +3 ≈ 4.41; the maximum is √4 +3 ≈ 5. Min and max values are shown in the table in the third attachment.
__
4.
a) The graph is shown in the attachment as f4 (red). The leading multiplier of -2 causes the graph to be reflected over the x-axis and vertically expanded by a factor of 2 before being translated right 2 and up 3.
b) vertex: (2, 3); domain: [2, ∞); range: (-∞, 3]. Note the range is all y-values less than or equal to 3 because of the vertical reflection.
c) x-intercept: 4.25; y-intercept: (none). The x-intercept is found by solving ...
0 = -2√(x -2) +3
(-3/-2)² = x-2
2 +2.25 = x = 4.25
d) On the interval, [4, 7], the minimum is -2√(7 -2)+3 = 3-2√5 ≈ -1.47; the maximum is -2√(4-2)+3 = 3-2√2 ≈ 0.17. Min and max values are shown in the table in the second attachment.
Students in Mr. Carter's math class want to know the favorite spectator sport of the students at their high school. Listed are 4 students sampling methods. Which student's sampling method would produce the MOST accurate results?Kenneth stands at the entrance to the football field and samples each student as they enter the field for the football game.Lynn stands at the entrance to the school in the morning and samples the first 20 students to arrive at school.Maleka uses a list of students at the high school, chooses every tenth name, and then samples that student.Tony samples all the students in his classes.A. KennethB. TonyC. MalekaD. Lynn
The goal of our sampling is to determine the favorite sport of the students in the high school. For that we need to sample from all the students in the school, trying to get as diversified as possible. Let's analyze each strategy and choose the better one.
Kenneth goes to a football field, since he's already at an sports event, most of the students going there will have football as their favorite sport, skewing the data towards that. Therefore this is not an effective strategy.
Lynn stands at the entrance of the school sampling 20 students that arrives, this also doesn't take a lot of students into account, because most of the people that arrive early presumably have a simillar personality.
Maleka uses a list of students from the whole scools, then chooses at random the names she'll interview. This seems like a good approach, because it's from the whole school, and there isn't a significant bias inserted into the sampling.
Finally tony samples all the students from his class, this also does not sound like a good strategy, because they don't represent the whole school.
The best strategy is the one used by Maleka, option C.
Are you sure about the answer?
Answer:
I guess! Sorry, which answer are you talking about?
Step-by-step explanation:
Answer:
WHAT ANSWER WHERE IS IT
Step-by-step explanation:
a)Find the number c that satisfies the conclusion of the Mean Value Theorem for this function f(x) = x + 3/x and the interval [1,14]
The number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14] is approximately c = 3.75.
To find the number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14], follow these steps:
1. Verify the conditions of the Mean Value Theorem:
The function f(x) = x + 3/x is continuous on the closed interval [1, 14] and differentiable on the open interval (1, 14).
2. Calculate the average rate of change of the function on the interval:
f(14) = 14 + 3/14 ≈ 14.214
f(1) = 1 + 3/1 = 4
Average rate of change = (f(14) - f(1)) / (14 - 1) ≈ (14.214 - 4) / 13 ≈ 0.786
3. Differentiate the function to find the instantaneous rate of change:
f'(x) = 1 - 3/x²
4. Set f'(x) equal to the average rate of change and solve for x:
1 - 3/x² = 0.786
x² = 3 / (1 - 0.786)
x² ≈ 14.056
x ≈ √14.056 ≈ 3.75
The number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14] is approximately c = 3.75.
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Simplify a raised to the negative fourth power over quantity 2 times b squared end quantity all cubed.
The simplified form of the expression ( a⁻⁴ / 2 × b² )³ is a⁻¹² / 8b⁶
Given,
a raised to the negative fourth power over quantity 2 times b squared end quantity all cubed.
The expression : ( a⁻⁴ / 2 × b² )³
Simplify the expression :
( a⁻⁴ / 2 × b² )³
= a⁻⁴⁽³⁾ / 2³ ˣ b²⁽³⁾
= a⁻¹² / 2³ ˣ b⁶
= a⁻¹² / 8b⁶
Therefore, the simplified form of the expression ( a⁻⁴ / 2 × b² )³ is a⁻¹² / 8b⁶
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Fill in the blanks to write the number 674.919 in expanded form:
Answer:
600 + 70 + 4 + .900 + .010 + .009
Step-by-step explanation:
you just break up the number to write it in expanded form.
Suppose that 15 inches of wire costs 90 cents.
At the same rate, how much (in cents) will 8 inches of wire cost?
Answer:
48c
Step-by-step explanation:
if 15 → 90c
then 8 → xc
cross multiply
90 × 8=720
15 × x= 15x
720=15x
divide Both sides by 15
720/15= X
X= 48
therefore, 8 inches cost 48c
mean absolute deviation of 90,84,90 93,63???
Answer:
8.4
Step-by-step explanation:
Instructions
This calculator computes the mean absolute deviation from a data set:
You do not need to specify whether the data is for an entire population or from a sample. Just type or paste all observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. Press the "Submit Data" button to perform the computation. To clear the calculator, press "Reset".
What is the mean absolute deviation
The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.
Mean absolute deviation formula
This calculator uses the following formula for calculating the mean absolute deviation:
$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$
where n is the number of observed values, x-bar is the mean of the observed values and xi are the individual values.
determine the percentage rate of change of f(t) = e-0.09t2 at t = 1 and t = 5.
To find the percentage rate of change of a function at a specific point, we need to find the derivative of the function. The percentage rate of change of f(t) = e^-0.09t^2 at t=1 and t=5 is approximately -17.75% and -13.65%, respectively.
To find the percentage rate of change of a function at a specific point, we need to find the derivative of the function at that point and then multiply it by 100%. Thus, the derivative of f(t) is given by:
f(t)=e^-0.09t^2
f'(t) = (-0.18t)e^(-0.09t^2)
Evaluating f'(1) and f'(5) yields:
f'(1) = (-0.18)(1)e^(-0.09(1)^2) ≈ -0.1606
f'(5) = (-0.18)(5)e^(-0.09(5)^2) ≈ -0.1851
To find the percentage rate of change, we multiply the derivative by 100% and divide by the function value at the respective point:
Percentage rate of change at t=1:
= (f'(1)/f(1)) * 100%
= (-0.1606/e^-0.09) * 100%
≈ -17.75%
Percentage rate of change at t=5:
= (f'(5)/f(5)) * 100%
= (-0.1851/e^-0.09) * 100%
≈ -13.65%
Therefore, the percentage rate of change of f(t) at t=1 and t=5 is approximately -17.75% and -13.65%, respectively.
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-5(2x + 6) + 9x = -32
Answer:
What is the question? It is incomplete
Step-by-step explanation:
Please mark as brainliest !!!!!
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Answer:
heres ur answer x=2
heres what i used to solve it PEMDAS
Steve and his friends measured a snow pile; it was 7 feet tall. The next day, the
snow pile was only 6.5 feet tall. What was the percent of decrease in the snow
pile? Round your answer to the nearest tenth
The percentage decrease is 7.14%
First measurement = 7 feet
Second measurement = 6.5 feet
Difference in measurement = 7 feet - 6.5 feet = 0.5 feet
Percentage decrease = Difference in measurement/ First measurement × 100
= (0.5/7.0) × 100
= 7.14%
The percentage decrease is 7.14%
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With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?
For a set population, does a parameter ever change? sometimes always unknown never if there are three different samples of the same size from a set population, is it possible to get three different values for the same statistic?
For a set population, a parameter does not change. A parameter is a numerical value that describes some aspect of a population, such as the mean, median, or standard deviation.
It is a fixed value that represents the entire population and does not change as new data is collected.
If there are three different samples of the same size from a set population, it is possible to get three different values for the same statistic.
Because a sample is a subset of a population, the values of statistics calculated from samples will vary depending on the specific individuals or observations that are included in the sample. Even if the samples are of the same size, they will likely have different values for the statistics because of the randomness of sampling.
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Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Suppose you live in Los Angeles, California, where the temperature is 60ºF and going down at a rate of 2ºF an hour. You are talking on the phone to your friend who lives in Vancouver, Canada, where the temperature is 35ºF and going up at a rate of 3ºF an hour. If the temperatures continue to change at the same rates, how long would you and your friend have to talk before they would be equal? Write an equation and then solve it.
Answer:
5 hours
Step-by-step explanation: in 5 hours 60 degrees would become 50 degrees and so wold the 35 degrees.
I NEED HELP PLEASE!!! Select the correct systems of equations.
Which systems of equations intersect at point A in this graph?
Answer: Number 2
Step-by-step explanation:
Substitute (-2, 1) into (x, y) into each equation and see if it works.
The equation of line u is y = 9/2x+1. Line v is perpendicular to u. What is the slope of line v
Answer:
Step-by-step explanation:
The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9
The area of a circle is 100 pie. What is the radius?
A 25
B) 10
C 50
D) 5
Answer:
50 (hope this helps, have a good day)
Step-by-step explanation:
just divide The area divided by 2
Dominik uses 202020 grams of filling for each dumpling he makes. He has 150015001500 grams of dumpling filling. The grams FFF of filling remaining is a function of ddd, the number of dumplings Dominik makes.
Answer:
−20d+1500
Step-by-step explanation:
I did it on khan and it was right
Which of the following ordered pair could NOT be included in this set if it is a function?
{(-4, 2), (3, 6), (4,3), (x, y) }
A (x, y) = (-3, 6)
B (x, y) = (1, 2)
C (x, y) = (3,6)
D (x, y) = (4, -3)
Answer:
B is the right answer and if you add
9. Lucia is going on vacation. She
has 1 pair of shorts, two t-shirts, and 3
pairs of shoes. What are all the
possible outfit combinations she can
make if she needs to wear one short,
one shirt, and one pair of shoes each
day?
If she can reuse clothing: She would then have 3 outfit combinations.
If she can't reuse clothing: She would then have 1 outfit combination.
Step-by-step explanation:
It is known that she has to wear one short, one shirt, and one pair of shoes each day.
If she can reuse her shorts and shirts:
Day 1: one short, one shirt, and one pair of shoes. (Well, this leaves her with one shirt and two pairs of shoes.)
Day 2: one short, one shirt, and one pair of shoes. (This is the thinking that she can reuse her clothing. Now, she is left with one pair of shoes.)
Day 3: one short, one shirt, and one pair of shoes. (Also thinking she can reuse clothing. Now she has completely used all her shorts, shirts, and shoes.
If she can't reuse:
Day 1: one short, one shirt, and one pair of shoes. However, now she is left with one shirt and two pairs of shoes that she didn't use because she can't reuse the shorts.
In conclusion, if she can reuse the shorts and shirts, she will have three different combinations. If she can't reuse them, she will have one outfit combination.
Have a great day! God bless! :)
If she can reuse the shorts and shirts, then she will have three different combinations. If she can't reuse them, then she will have one outfit combination.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
Lucia has to wear one short, one shirt, and one pair of shoes each day.
If she can reuse her shorts and shirts:
Day 1: 1 short, 1 shirt, and 1 pair of shoes. (Well, this leaves her with one shirt and two pairs of shoes.)
Day 2: 1 short, 1 shirt, and 1 pair of shoes. (This is the thinking that she can reuse her clothing she is left with one pair of shoes.)
Day 3:1 short, 1 shirt, and 1 pair of shoes. Also thinking she can reuse clothing. she has completely used all her shorts, shirts, and shoes.
If she can't reuse:
Day 1: 1 short, 1 shirt, and 1 pair of shoes. However she is left with one shirt and two pairs of shoes that she didn't use because she can't reuse the shorts.
Therefore, if she can reuse the shorts and shirts, then she will have three different combinations. If she can't reuse them, then she will have one outfit combination.
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PLS HELP
Circle A has a diameter of 9 cm. Circle B has a radius of 6 cm.
a.) Which circle has the larger circumference? A or B?
b.) About how many centimeters larger is it?
cm larger
(NO PICTURE INCLUDED) (DONT ASK FOR PIC)
The circle that has the larger circumference is circle B. The difference in the circumference is 9.42 cm.
Which circle has the bigger circumference?A circle is a bounded object in which points from the center is equidistant to the circumference. The circumference of a circle is the perimeter of the circle. The diameter of a circle is a straight line that touches two opposite points on the circumference of a circle and also passes through the center. Radius is half the diameter of a circle.
The circumference of a circle = 2πr
Where:
π = pi = 22/7 r = radius = diameter / 2Circumference of Circle A = 22/7 x 2 x (9/2) = 28.29 cm
Circumference of Circle B = 22/7 x 2 x 6 = 37.71 cm
Difference in circumference = 37.71 - 28.29 = 9.42 cm
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Consider this system of equations:
y=x²
y = x + k
For which value of k does the system have no real number solutions?
For which value of k does the system have one réal number solution?
For which value of k does the system have two real number solutions?
Answer: The answer is ⠀ ⠀ ⠀, hope this helps! :))
Step-by-step explanation:
What is the equation of a line with a slope of 6 and y intercept of -2
Answer:
6x-y=2 is the equation
Step-by-step explanation:
The formula is y= mx+c where m= slope and c = y-intercept
so replacing their values,
y = 6x -2
y+2= 6x
6x-y = 2 is the required equation.
Answer:
y=6x-2
Step-by-step explanation:
Answer: to write an equation it has to be y=mx+b
The slope is 6, so you substitute the 6 in for the m. M is always the slope.
You also keep the x there.
The y intercept, also know as b, is -2 so you substitute that in for b.
Then you get the equation on the line.
y=6x-2!
Hope this helps. :)
Which factors plays a role in establishing the value of a country's currency?
Supply and demand are two factors that affect how much a country's currency is worth.
The supply and demand of a country's currency determine the value of that currency in a free-floating currency exchange market. A currency improves in value or appreciates when demand for it rises. A currency loses value or depreciates when there is less demand for it.
Money's demand determines how much it is worth. When there is still a strong demand for treasuries, the US dollar increases. The value of a currency determines both its supply and demand. For instance, if a nation prints a lot of currency, the value relative to other currencies will drop because supply exceeds demand. Inflation will happen if the cost of products rises or the value of money declines in comparison to other assets.
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HELP PLZ!!!!!!!!!!!!!!!!!!!!!
Answer:
1 and 7
2 and 8
Step-by-step explanation:
consecutive exterior angles theorem- a theorem stating that if parallel lines are cut by a transversal line, then consecutive exterior angles are supplementary. Like 1 and 7(they are both exterior angles); these angles are both right angles, so added together would make them a pair of supplementary angles.
supplementary angles- a pair of angles that add up to 180 degrees when added together.
I hope this helps
The elevation of city A is 96 feet below sea level; the elevation of city C is 24 feet below sea level. The elevation of city D is \(\frac{1}{4}\)of the elevation of city C.
Answer: (A) -24x1/4 (B) Negative multiplied by a positive equals a negative
Step-by-step explanation:
The question says below sea level, so the whole number is negative. we don't need city A its a distraction so city C is multiple by city D. why do we multiply because the word of means multiple there for the expression is
write the product into one single fraction
-24x1
4 canceled the 4 in the fraction -24x1
4
-6x1 any expression divided by one remains the same -6x1
1
solution
x1=0
$12 for 5 boxes of cereal (unit rate)
Answer: $2.40
Step-by-step explanation: 12/5 = 2.4
The arithmatic mean of 3a-2 and x is 4a-4
By answering the presented question, we may conclude that So the arithmetic mean of (3a-2) and (5a-6) is: ((3a-2) + (5a-6))/2 = 4a-4
What is mean?The mean of a dataset is the sum of all values divided by the total number of values; this is also known as the arithmetic mean (as opposed to the geometric mean). This is the most often used measure of central tendency, sometimes known as the "mean." Merely dividing the entire number of values in the dataset by the sum of those values provides this result. Calculations may be performed using both raw data and data that has been compiled into frequency tables. The average of a number is referred to as its average. It is simple to calculate: Divide the total number of digits by the number of digits. the sum divided by the count.
The arithmetic mean of two numbers is the sum of the numbers divided by 2.
The arithmetic mean of (3a-2) and (y) can be expressed as:
(3a-2 + y)/2
(3a-2 + y)/2 = 4a-4
3a-2 + y = 8a-8
y = 5a-6
Therefore, the value of x is 5a-6.
So the arithmetic mean of (3a-2) and (5a-6) is:
((3a-2) + (5a-6))/2 = 4a-4
And this is consistent with our initial equation.
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