Answer: The function f(x) = || is the absolute value function of x, which is defined as f(x) = |x|. The graph of this function is a "V" shape, with the vertex at the origin (0,0) and the lines x = 0 and y = 0 as the asymptotes. The graph of f(x) starts at the origin and increases as x increases or decreases, but never reaches x-axis.
The function g(r) = (-1)|r| is the absolute value function of r, multiplied by -1. The effect of multiplying the function by -1 is to reflect the graph of f(x) across the x-axis. So the graph of g(r) will be a "V" shape, with the vertex at the origin, and the lines x = 0 and y = 0 as the asymptotes. The graph of g(r) starts at the origin and decreases as r increases or decreases, but never reaches x-axis.
In summary, the effect of the change on the graph of f(x) = || is that it will be reflected across the x-axis.
Step-by-step explanation:
Please show work on a paper and upload it need it ASAPPP
The value of the summation expression given in the task content is; 16.
What is the value of the summation expression given?It follows from the task content that the value of the summation expression given is to be determined.
Since the given expression is; 2x - 3,
On this note;
When x = 2; 2(2) - 3 = 1When x = 3; 2(3) - 3 = 3When x = 4; 2(4) - 3 = 5When x = 5; 2(5) - 3 = 7On this note, the sum of all of the results above is the correct Evaluation of the given expression; 1 + 3 + 5 + 7 = 16.
On this note, the result of the evaluation is; 16.
Read more on summation expression;
https://brainly.com/question/29334900
#SPJ1
Christian recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 6
Bass 4
Drums 7
Keyboard 2
Eighth Grade Students
Instrument # of Students
Guitar 4
Bass 15
Drums 13
Keyboard 6
Based on these results, express the probability that a student chosen at random will play the bass as a fraction in simplest form.
Answer: the probability that a student chosen at random plays the bass is 1/3 in simplest form.
Step-by-step explanation:
The probability of an event can be found by taking the number of favorable outcomes and dividing it by the total number of outcomes. In this case, we are looking for the probability that a student chosen at random plays the bass.
We know that there are a total of 6 + 4 + 7 + 2 = 19 seventh grade students and 4 + 15 + 13 + 6 = 38 eighth grade students. So there are a total of 19 + 38 = 57 students.
We also know that there are 4 seventh grade bass players and 15 eighth grade bass players, for a total of 4 + 15 = 19 bass players.
So, the probability that a student chosen at random plays the bass is 19/57. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor which is 19/57 = 1/3.
So, the probability that a student chosen at random plays the bass is 1/3 in simplest form.
.J(-4, 4), K(-3, 4), L(-1, 1), M(-4,1) Reflect in the x-axis, and then rotate 180° about the origin.
The quadrilateral's new coordinates will be J(4, 4), K(3, 4), L(1, 1), and M (4,1) when the procedure is applied.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given coordinates of a quadrilateral J(-4, 4), K(-3, 4), L(-1, 1), M(-4,1)
Reflect in the x-axis
Since,
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).
thus new coordinates will be,
J(-4, -4), K(-3, -4), L(-1, -1), M(-4,-1)
Rotate 180 degrees about the origin
Since,
When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.
Thus new coordinates will be
J(4, 4), K(3, 4), L(1, 1), M(4,1)
Therefore, After applying the given operation the new coordinates of the quadrilateral will be J(4, 4), K(3, 4), L(1, 1), and M(4,1).
Learn more about coordinates here:
https://brainly.com/question/20282507
#SPJ1
A light bulb consumes 3600 watts hours per day. How long does it take to consume 13500 watts hours
Answer:
3.75 days
Step-by-step explanation:
To find out how long it takes to consume 13500 watt hours, you would divide 13500 by the number of watt hours consumed per day, which is 3600.
13500 / 3600 = 3.75
So it takes 3.75 days for the light bulb to consume 13500 watt hours.
7. What is 112" in decimal feet?
a. 12.25´
b. 9.33 ´
c. 8.50 ´
d. 6.33 ´
Answer:
B 9.33
Step-by-step explanation:
(-5x2 + 10x − 12) − (-4x2 + 8x − 15)
Answer: 1 + 2x
Step-by-step explanation:
To solve this problem, it's helpful to understand "order of operations." The order is: parentheses, exponents, multiplication, division, addition, and lastly, subtraction.
A helpful mnemonic is PEMDAS. I was taught "Parachute Expert My Dear Aunt Sally" to help remember the order.
We must work with the numbers inside the parantheses, since "parantheses" is the first operation. We'll start with the first paranthesis: (-5x2 + 10x - 12).
Since there are no exponents in this equation, we can go to the third operation: multiplication. (I like to use the "·" symbol to show that two numbers are multiplied because it's easy for me to confuse the letter X with "x" when it is used as a multiplication symbol).
-5 · 2 = -10
Two negative numbers are added, so -10 and -12 = -22
This leaves (-22 + 10x)
The -22 and 10x are not added together because numbers without a letter cannot be added to numbers with letters.
Now we'll work with the second paranthesis: (-4 · 2 + 8x - 15)
-4 · 2 = -8
-8 and -15 is added to make -23
The paranthesis now looks like:
(-23 + 8x)
Notice that there is a negative sign outside of the second paranthesis in the equation.
(-22 + 10x) − (-23 + 8x)
When a number or symbol is outside of a paranthesis, that number or symbol is multiplied across everything within the parantheses.
Now, it is:
(23 - 8x)
All of the numbers can be taken out of the parantheses now:
-22 + 10x + 23 - 8x
-22 + 23 = 1
10x - 8x = 2x
The final answer:
1 + 2x
Hope this helps!
In an absolute value graph, the slope of one side of the graph is the ______________ of the other side.
Then give an example...If the slope of one side of an absolute value function is _________, then the other side of the equation has a slope of ________.
Answer:
In an absolute value graph, the slope of one side of the graph is the opposite of the other side.
For example, if the slope of one side of an absolute value function is positive, then the other side of the equation has a slope of negative.
In the diagram below, D is a point on segment CE such that segments AD and BE are parellel and point A is not on segment BC. Line segments AD and BC intersect at point P.
If angle CAD = 67 degrees, then what is angle CBE?
Answer:
Step-by-step explanation:
Since segment AD and BE are parallel, we can use the Alternate Interior Angles Theorem to solve this. According to this theorem, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal. Since angle CAD = 67 degrees, angle DBE is also equal to 67 degrees.
Now, if we look at the diagram, angle DBE is supplementary to angle CBE, meaning that the two angles add up to 180 degrees. Therefore, angle CBE = 180 degrees - 67 degrees = 113 degrees.
Diane has $200 in a savings account that earns 10% annually. The interest is not
compounded. How much will she have in total in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r
is the interest rate expressed as a decimal, and t is the time in years.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$200\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (200)(0.10)(1) \implies I = 20~\hfill \underset{total~amount~in~savings}{\stackrel{200~~ + ~~20}{\text{\LARGE 220}}}[/tex]
Answer:
$ 220
Step-by-step explanation:
i = prt = 200 * .1 * 1 = 20 dollars interest
add in her original deposit of 200 for a total of 220 dollars
William Sealy Gosset worked at the Guinness Brewery in Dublin and made substantial contributions to the practice of statistics. In his work at the brewery, he collected and analyzed a great deal of data. Archives with Gosset’s handwritten tables, graphs, and notes have been preserved at the Guinness Storehouse in Dublin. In one study, Gosset examined the change in the double stout market before and after World War I (1914‑1918). For various regions in England and Scotland, he calculated the ratio of sales in 1925, after the war, as a percent of sales in 1913, before the war. Here are the data:
Region Ratio
Bristol 94
Cardiff 112
English Agents 78
English O 68
English P 46
English R 111
Glasgow 66
Liverpool 140
London 428
Manchester 190
Newcastle‑on‑Tyne 118
Scottish 24
(a) Compute the mean for these data. Give your answer to two decimal places.
⎯⎯⎯=
(b) Compute the median for these data. Give your answer to two decimal places.
=
(c) Which measure describes the center of this distribution the most accurately? Explain your answer.
The mean represents the center of the data most accurately because the mean incorporates all of the individual values, whereas the median depends more on the order of the values than their actual amounts.
The mean and the median should both be used. By comparing the mean and median, you can tell if the data are skewed.
The median represents the center of the data most accurately because the mean is more affected by extreme values.
The mean and the median are equally as accurate because the distribution of the data is approximately symmetical.
Region RelativeTo1913 RelativeToPast4
Bristol 94 82
Cardiff 112 80
English Agents 78 83
English O 68 88
English P 46 99
English R 111 99
Glasgow 66 78
Liverpool 140 106
London 428 105
Manchester 190 107
Newcastle-on-Tyne 118 115
Scottish 24 78
Answer: a) To compute the mean of these data, we need to add up all of the ratios and divide by the total number of ratios.
(94+112+78+68+46+111+66+140+428+190+118)/11 = 101.36
The mean is 101.36
b) To compute the median of these data, we need to arrange the data in increasing order and find the middle value.
46, 66, 68, 78, 94, 111, 112, 118, 140, 190, 428
The median is 111
c) The measure that describes the center of this distribution the most accurately is the mean, because it takes into account all of the values in the data set and provides an overall measure of central tendency. The median is also a measure of central tendency but it is affected by the outliers present in the dataset and doesn't provide a good representation of the central value.
Step-by-step explanation:
help me please! will mark brainliest
Answer:The function is linear because we are dealing with a straight line.
Step-by-step explanation:
Eva has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 310 points for a free movie ticket.
Answer: 90
Step-by-step explanation:
If you're looking for the number of times she has to visit the movie theater in order to have 310 points for the free movie ticket then;
310-85 = 225
225/2.5 = 90
Eva needs 90 visits before she can get a free movie ticket.
Ben borrowed 25,000 to purchase a motorcycle. The loan was for two years at a annual interest rate of 4%. What’s the maturity value
Answer:
1,000 was the interest charge which leaves you with 24000 as the regular vaule
Step-by-step explanation:
You want to buy a 11-year bond with a maturity value of $12,000, and you wish to get a return of 7.25% annually. How much will you pay? (Round your answer to the nearest cent.)
Answer:The price of a bond can be calculated using the formula:
Price = Maturity Value / (1 + r)^n
Where:
Maturity Value = $12,000
r = the annual interest rate as a decimal (7.25% / 100 = 0.0725)
n = the number of years to maturity (11 years)
So the price of the bond is:
Price = $12,000 / (1 + 0.0725)^11
By solving this equation we get the price of bond is $7,065.87 approximately.
Note: The bond price is the amount you pay to buy the bond and receive the maturity value at the end of the bond term.
Step-by-step explanation:
i need help pleaseeee!!!
Answer:
-4 < 2 - a < -8
Step-by-step explanation:
Exercise 4.1 Identify critical numbers and find the absolute maximum value and absolute minimum value for each of the given functions on the given interval. 1 f(x) = x³; [-2, 1] 2 f(x)=x²- 2x² + 3; [−1, 2] 3 5 (5 - 2x); [-1,2] f(x) = f(x)=x²-3x²; [-1, 3] 4 6 f(x)=2cosx+x; [0,2 ] f(x) = 3x³ - 20x³; [-2, 2]
F(x) = x³ on the interval [-2, 1], x = -2 and x = 1, the absolute maximum value is 1 and the absolute minimum value is -8.
What are the critical numbers?A function's critical numbers are the independent variable values at which the function is not continuous, or when the derivatives are equal to 0 or undefined.
1. For the function f(x) = x³ on the interval [-2, 1], the critical numbers are x = -2 and x = 1. The absolute maximum value is 1 and the absolute minimum value is -8.
2. For the function f(x) = x² - 2x² + 3 on the interval [-1, 2], the critical numbers are x = -1 and x = 2. The absolute maximum value is 5 and the absolute minimum value is -2.
3. For the function f(x) = 5 - 2x on the interval [-1,2], the critical numbers are x = -1 and x = 2. The absolute maximum value is 5 and the absolute minimum value is -3.
4. For the function f(x) = x² - 3x² on the interval [-1, 3], the critical numbers are x = -1, x = 0, and x = 3. The absolute maximum value is 0 and the absolute minimum value is -3.
5. For the function f(x) = 2cosx + x on the interval [0,2], the critical numbers are x = 0 and x = 2. The absolute maximum value is 3 and the absolute minimum value is -1.
6. For the function f(x) = 3x³ - 20x³ on the interval [-2, 2], the critical numbers are x = -2 and x = 2. The absolute maximum value is -4 and the absolute minimum value is -32.
To know more about critical numbers, visit
brainly.com/question/28464559
#SPJ1
Choose the table or tables that represent a linear function.
Answer:
A and B
Step-by-step explanation:
You draw the points on the Cartesian plane and draw a straight line that passes through two of the drawn points, if ALL the drawn points are ON the drawn line, then it is a linear function,
If only ONE point lies outside the line, then it is NOT a linear function
Solve the following equation: x = 6.0% X 99.5% X 1.3 X 1.6
Answer:
0.124176
Step-by-step explanation:
.06 x .995 x 1.3 x 1.6= 0.124176
You change a percent into a decimal by dividing it by 100%
what is the math equation what does it equal ∣7−11∣=
The solution for the absolute value equation is:
|7 - 11| = 4
How to solve the given equation?Here we want to solve an absolute value equation:
|7 - 11| = ?
First, remember how the absolute value works, it is:
|x| = x if x ≥ 0
|x| = -x if x < 0.
Now let's return to our equation:
|7 - 11|
If we simplify the left side, we will get:
|-4|
Notice that it is a negative number, so we just need to change the sign:
|-4| = 4
Then the equation is:
|7 - 11| = 4
Learn more about absolute values by reading:
https://brainly.com/question/5012769
#SPJ1
Answer:
[tex] \sf \: ∣7-11∣ = 4[/tex]
Step-by-step explanation:
Given problem,
→ ∣7 - 11∣
Let's solve the problem,
→ ∣7 - 11∣
→ ∣-4∣ = 4
=> Absolute value
=> It is always positive
Hence, the answer is 4.
Select ALL!!!!!!! of the ordered pairs that are in the solution set of this inequality.
The ordered pairs that satisfies the linear inequality x < - 3 are (-4, -3) and (-3, -3)
What is a Linear InequalityA linear inequality is a mathematical statement that describes a relationship between two or more variables that are not necessarily equal. It is similar to a linear equation, but instead of an equal sign, it uses one of the inequality signs: <, >, ≤, or ≥.
A linear inequality can also be represented graphically on a coordinate plane, by shading the region of the plane that satisfies the inequality. The solution set of a linear inequality is the set of all points that make the inequality true.
A linear inequality can also have infinitely many solutions, no solution or a unique solution. The solution set will be a region in a coordinate plane which is a half-plane, a line or a point depending on the inequality.
In the problem, the inequality x < -3 will have an ordered pair of solution of
(-∞, -3).
This implies that all values of x must lies from negative till infinity while y lies up to - 3.
In the options given, only (-4, -3) and (-3, -3) satisfies this criteria.
Learn more on linear inequality here;
https://brainly.com/question/24395575
#SPJ1
I need help with this question for my homework please
[tex]\overline{A}[/tex] = {0, 1, 4, 5, 6, 7, 8}, [tex]\overline{B}[/tex] = {2, 4, 7, 9}, A ∪ B = {0, 1, 2, 3, 4, 5, 6, 8, 9} and
A ∩ B = {3}.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Given,
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is a universal set.
A = {2, 3, 9} and B = {0, 1, 3, 5, 6, 8}.
[tex]\overline{A}[/tex] = (U - A) = {0, 1, 4, 5, 6, 7, 8}.
[tex]\overline{B}[/tex]= (U - B) = {2, 4, 7, 9}.
A ∪ B = U - {7}.
A ∪ B = {0, 1, 2, 3, 4, 5, 6, 8, 9}.
A ∩ B = {3}
learn more about sets and Venn diagrams here :
https://brainly.com/question/28318748
#SPJ1
(5v-w)(5v−w) centimeters, and its length measures (6v+8w)(6v+8w) centimeters.
Answer:
If you want an answer I would suggest you to put the whole question up ty
Step-by-step explanation:
6) Given the geometric sequence 2, 4, 8, 16,...
a) Determine the common ratio.
b) Write the explicit formula.
c) Find a10
d) Write the recursive formula.
Answer:
a) Common ratio r = [tex]\boxed{2}[/tex]
b) Formula for common ratio:
[tex]\dfrac{a_{n+1}}{a_n} , n = 1, 2, 3, 4....\\[/tex]
Formula for nth term:
[tex]a_n = a_1r^{n-1}[/tex]
(see explanation below for part b)
c) [tex]a_{10} = \boxed{1024}[/tex]
d) Recursive formula: [tex]\boxed{a_{n+1} = 2a_n}[/tex]
Step-by-step explanation:
a) The common ratio r for a geometric sequence is the ratio of any term(except the first) to the previous term. And this is a constant for that sequence
If we have a sequence [tex]a_1, a_2, a_3, a_4, a_5,....\\[/tex]
[tex]r = \dfrac{a_2}{a_1} = \dfrac{a_3}{a_2} = \dfrac{a_4}{a_3} = \dfrac{a_5}{a_4}[/tex]
Here [tex]a_1[/tex] is the first term in the sequence
The sequence we have here is
2, 4, 8, 16
So
[tex]r = \dfrac{4}{2} = \dfrac{8}{4} = \dfrac{16}{8} = 2\\[/tex]
Answer to a)
------------------------------------------------------------------------------------------------------
b) This part is confusing. Are they asking for a formula for the common ratio or a formula for the nth term? You can write both or check with your teacher
The explicit formula for the common ratio is
[tex]\dfrac{a_{n+1}}{a_n} , n = 1, 2, 3, 4....\\[/tex]
The explicit formula for the nth term, [tex]a_n[/tex] of a geometric sequence is
[tex]a_n = a_1r^{n-1}[/tex]
where [tex]a_1[/tex] is the first term of the sequence and r is the common ratio
------------------------------------------------------------------------------------------------------
c)
The formula for finding the nth term of a geometric sequence is
[tex]a_n = a_1r^{n-1}\\\\[/tex]
Therefore
[tex]a_{10} = a_1 r^{(10-1)} = a_1 \times r^9\\\\[/tex]
[tex]a_1 = 2, r = 2\\\\[/tex]
So
[tex]a_{10} = 2 \cdot 2^9 \\\\= 2 \cdot 512\\\\= 1024\\[/tex]ANSWER c)
------------------------------------------------------------------------------------------------------
d)
A recursive formula is just an expression that denotes the relationship between one term and the next
We know that
[tex]r= \dfrac{a_{n+1}}{a_n} \\\\[/tex]
Multiplying both sides by [tex]a_n[/tex],
[tex]ra_n = a_{n+1}[/tex]
Or
[tex]a_{n+1} = ra_n\\\\[/tex]
For the specific case of r = 2 we get the recursive formula as
[tex]a_{n+1} = 2a_n[/tex]
ANSWER d)
5x - 2y = 10
7x - 3y = 13
Use elimination to solve for x and y
Answer:
Step-by-step explanation:
let 5x - 2y = 10 ........... (1)
and 7x - 3y = 13 ............(2)
now multiply equation (1) by 3 and equation (2) by 2, we get,
15x - 6y = 30 ............(3)
14x - 6y = 26 ............(4)
after substracting equation (3) and (4) we get,
x = 4
after putting the value of x in eq (3) we get,
15 * 4 - 6y = 30
=> 60 - 6y =30
=> y = -30/ -6
=> y = 5
so, the vale of x and y is 4 and 5 respectively.
the square root of 15
Answer:
3.8729
Step-by-step explanation:
Assume you are given the set B where B = {2,4,6,8,10}. Consider this statement.
Answer:false
Step-by-step explanation:
log10 2=P,then the value of log10 5 is
The value of log10 5 as required to be determined using the given information is; 0.3979 + P..
What is the value of log10 5 as required?It follows from the task content that; the value of log10 5 is to be determined based on the given information.
Since the given expression is; log10 2 = P;
The expression which can be inferred from the equation above is;
10^P = 2..............(i)
However, let; log10 5 = x
Therefore; 10^x = 5..........(ii)
By dividing the equation (ii) by (i); we have that;
10^(x - P) = 2.5
Therefore, from the converse of logarithmic law;
x - P = log10 2.5
x = P + log10 2.5
where, log10 2.5 = 0.3979
x = 0.3979 + P
Ultimately, the value of log10 5 as required is; 0.3979 + P.
Read more on logarithms;
https://brainly.com/question/25993029
#SPJ1
Please look at the picture and answer the question thank you
The formula for t in terms of P, I and r is t=I/Pr.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, the formula form simple interest is I=Prt, where I is the interest, P is the principal, r is the interest rate and t is the number of years.
Now, I=Prt
t=I/Pr
Therefore, the formula for t is t=I/Pr.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ1
Which overlapping triangles are congruent by ASA?
The overlapping triangles which are congruent by ASA are ΔEBC and ΔADC which is therefore denoted as option C.
What is a Congruent triangle?This is a scenario in which all three corresponding sides are equal and all the three corresponding angles are equal in measure.
Taking ΔEBC and ΔADC, we have the following below:
∠B=∠D (90°)
CB= CD (Given)
∠BCE=∠ACD( Common)
Therefore, by ASA we can deduce that,
Δ EBC ≅ΔADC.
Read more about Congruent triangle here https://brainly.com/question/3999145
#SPJ1
Put the answer please!
The inequality that represents the interval shown on the number line is:
5 ≤ x ≤ 9
How to express the interval shown?We want to use inequality notation to define the interval shown on the number line.
We can see that the first point is marked with a closed circle, at x = 5.
And then we have another closed circle at x = 9
The closed circles means that these points are solutions to the inequality, so we need to use the symbols:
≤ and ≥
Then we can write the inequality:
5 ≤ x ≤ 9
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
