Answer:
-3 < x < 1
Step-by-step explanation:
In general, an absolute value function is a piecewise-defined function, with each piece having its own applicable domain. However, the absolute value inequality |a| < b is fully equivalent to the compound inequality -b < a < b. This can be used to solve the given inequality.
Isolate the absolute value expressionWe can isolate the absolute value expression by undoing the operations done to it.
3|x +1| -2 < 4 . . . . . given
3|x +1| < 6 . . . . . . . add 2
|x +1| < 2 . . . . . . . . divide by 3
Rewrite as a compound inequality and solveThe absolute value inequality is now in the form described above, so can be "unfolded" to a compound inequality:
-2 < x +1 < 2
Subtracting 1 finds the solution for x:
-3 < x < 1
Which of the following could represent the
interval (5, 100]? Select two that apply.
Answer:
I don't think I have do this math yet
members of a school sports team are raising money by selling custom water btottles at school activities. they plan to sell each bottle for $12. each bottle costs them $5 they spend 40$ for advertising. which expression represents the money that the group raises?
A. (12 - 15) n - 40
B. 40 - (12 - 5) n
Cc. 12n - 5 - 40
D. 12 - 5n - 40
Answer:
B. 40 - (12 - 5) n
Step-by-step explanation:
is the graph a linear function , nonlinear , function , or relation
It is a linear function , Option A is the right answer.
The missing graph is attached with the image
What is a Linear Function ?
A linear function is a function that can be represented by the equation
y = mx +c
where m is the slope and the c is the intercept on y axis.
From the graph it can be seen that it is following a straight line pattern and therefore it can be represented by y = mx +c and
Therefore it is a linear function , Option A is the right answer.
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Draiman corporation has bonds on the market with 10.5 years to maturity, a ytm of 7.1 percent, a par value of $1,000, and a current price of $1,051. the bonds make semiannual payments. what must the coupon rate be on these bonds?
The coupon rate is 7.80% if Draiman corporation has bonds on the market with 10.5 years to maturity, a YTM of 7.1 percent, a par value of $1,000
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
Draiman corporation has bonds on the market with 10.5 years to maturity, a ytm of 7.1 percent.
We know,
[tex]\rm Bonds \ Price = Coupon \ payment[ (1 - \dfrac{1}{(1+r)^n} ] + \dfrac{Par \ value }{ (1 + r)^n}[/tex]
r = 7.1%/2
Since the payments are semi-annual, hence divided by 2
r = 3.55% or 0.0355
n = 10.5x2
Since the payments are semi-annual, hence multiplied by 2
n = 21
Now plug all the values in the formula to get the value of the coupon rate:
$ 1,051 = Coupon payment x [ [ (1 - 1 / (1 + 0.0355)21 ] / 0.0355 ] + $ 1,000 / 1.035521
Coupon payment = ($ 1,051 - $ 480.6709018) / 14.62898868
Coupon payment = $ 38.98
Coupon rate:
= (Coupon payment / Face value) x 2 (Multiplied by 2 since the payments were semi annual)
= ($38.98/$1,000) x 2
= 7.80%
Thus, the coupon rate is 7.80% if Draiman corporation has bonds on the market with 10.5 years to maturity, a YTM of 7.1 percent, a par value of $1,000
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Help me pls anyone??
Genius?? Can you help me? Yes you with the Ukraine's flag as pfp
Answer:
Look below
Step-by-step explanation:
Since it is LEAST to GREATEST,
We take the lowest number, and keep going higher.
So,
The answer is D, or 20,320, 22,837, 25,446, 26,414, 29,029
(Please don't call me out, let everyone have a chance to answer.)
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
to find x you will substract 81.9 and 32
81.9-32
the answer will be 49.9
An automotive service center would like feedback on its customer service. each customer receives a printed card after they pay for services with a short survey on which customer service is ranked on a scale from 1 (least satisfied) to 5 (most satisfied). customers can then choose to submit the card in a box on their way out of the store. the store manager finds that 140 cards were filled out in the past week, with an average customer satisfaction score of 2.47. which type of bias is most likely to be present in the survey results?
this is undercoverage bias because some types of customers may not have received cards.
this is nonresponse bias because many customers may choose to not fill out the cards.
this is question wording bias because the customer service score levels may not be clear to customers.
this is response bias because customers may not be truthful about their experience with customer service.
The statement second "this is nonresponse bias because many customers may choose to not fill out the cards" would be the best choice.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have an automotive service centre would like feedback on its customer service each customer receives a printed card after they pay for services with a short survey on which customer service is ranked on a scale from 1 to 5.
From the data given we can say, not everyone will choose to leave a review when leaving the store, and those who do will have been inconvenienced in some way and felt compelled to do so, while the rest of the customers left and went about their business.
Thus, the statement second "this is nonresponse bias because many customers may choose to not fill out the cards" would be the best choice.
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Part A Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y'). Choose the x-axis, y-axis, y = x and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs.)
The list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have two lines of reflection:
y = x and
y = -x
The point is (x, y)
After reflecting over line y = x the coordinate (x, y) becomes:
(y, x)
After reflecting over the line y = -x the coordinate (x, y) becomes:
(-y, -x)
Thus, the list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x
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A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section?
Diagram shows a plane intersects a regular hexagonal pyramid diagonally.
The shape of the resulting cross section of the hexagonal pyramid in the diagram given is: a hexagon.
What is Hexagonal Pyramid?A hexagonal pyramid is a pyramid with six lateral faces and an hexagonal base.
In the diagram, the plane cuts each of the lateral faces of the pyramid, giving a resultant shape that has 6 sides and angles, which is a hexagon.
Thus, the cross section shape is: a hexagon.
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Answer:
Step-by-step explanation:
The shape of the resulting cross section of the hexagonal pyramid in the diagram given is: a hexagon.
What is Hexagonal Pyramid?
A hexagonal pyramid is a pyramid with six lateral faces and an hexagonal base.
In the diagram, the plane cuts each of the lateral faces of the pyramid, giving a resultant shape that has 6 sides and angles, which is a hexagon.
Thus, the cross section shape is: a hexagon.
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Need help on this ???????????
Answer:
First choice
-∞ < y< ∞
Step-by-step explanation:
In this function,we need to use graph in order to find out the range.
Graph is attached.
[tex] \boxed{ - \infty < y < \infty }[/tex]Harper surveyed 800 of the students in her school about their favorite color 424 students said their favorite color was blue what percentage of the surveyed students said their favorite color was blue
Answer: percentage = 53%
Given:
800 total students
424 students blue favorite colore
Solve for:
percentage of students saying blue is their favorite color
Step-by-step explanation:
[tex]percentage = \frac{part}{whole}[/tex]
percentage = 424/800
percentage = 0.53 * 100 = 53%
percentage = 53%
What is the range of A piecewise function g of x, where part 1 is x squared plus 5 for x greater than 2 and part 2 is 2 times x for x greater than or equal to 2.?
[4, ∞)
[5, ∞)
[9, ∞)
(–∞, ∞)
Using it's concept, it is found that the range of the piece-wise function is given by:
[4, ∞)
What is the range of a function?It is the set that contains all possible output values for the function.
A piece-wise function has multiple definitions.
For x < 2, we have that f(x) = x² + 5, hence the range is from 5(smallest value, when x = 0) to infinity. For x >= 2, we have that f(x) = 2x, and the range is from 4(smallest value, when x = 2) to infinity.Combining them, the range of the entire function is given by:
[4, ∞)
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What type of pay is modeled below?
A. Hourly pay with no bonus
B. Commission pay
C. Piece rate
D. Hourly pay with a bonus
The type of pay which is modeled in the image attached below is: D) piece rate.
What is the pay?Pay can be defined as an amount of money that is paid by an employer of labor to his or her employees (workers) for a service rendered over a specific period of time.
The types of pay.
In Mathematics, there are four 5) different types of pay and these include:
Hourly paySalaryCommissionBonusesPiece rateA piece rate is a paying system in which the employees (workers) are paid for each unit of work completed, an item produced or action performed rather than on the basis of time spent such as:
Plucking teaThe number of tee-shirts produced.Pruning fruit treesSorting second-hand clothes (garments)Generally, the graph of a piece-rate model is typically characterized by a straight line sloping upwards as depicted in the image attached below.
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Answer:
c. piece rate
Step-by-step explanation:
What is the slope of the line that passes through the points (8,2) and (10,2)? Write your answer in the simplest form.
slope of line=(y2-y1)/(x2-x1)
give is
(x1,y1)=(8,2)
(x2,y2)=(10,2)
therefore slope =(2-2)/(10-8)=0/2=0
Hence
answer
Slope of line=0
use basic identities to simplify the expression
cos²theta /sin² theta+ csc theta sin theta
For convenience sake, I will be omitting the arguments of the trig functions.
cos²/sin² + (cos)/(sin)= cos²/sin² + (cos sin)/sin²= (cos² + cos sin)/(sin²)PLESE HELP ILL GIVE BRAINLIEST!!!!!!!1
Answer:
see explanation
Step-by-step explanation:
Any graph of a proportional relationship is a straight line graph passing through the origin.
the graph here does that and so represents a proportional relationship
using the point (2, 24,000 ) , then
unit rate = 24,000 ÷ 2 = 12,000 miles per hour
in 5.5 hours the probe travels 5.5 ×12,000 = 66,000 miles
simplify 2x + 8 > 3x - 2
Answer:
answer x>2
Step-by-step explanation:
i need help with this page
Answer:
check image below
Step-by-step explanation:
Let me know if you have any questions!
A cloth merchant sells 72560 cm of cloth every day how much does he sells 210 days
He sells 152,376,000 meters in 210 days, while cloth merchant sells 72560 cm of cloth every day.
What is an arithmetic operation?Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them.
Given data;
Cloth sell every day = 72560 cm
Days of selling = 210 days
Cloth sells in 210 days;
L (220) = 210×725600
L (220) = 152,376,000 meter
Hence,he sells 152,376,000 meters in 210 days,
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A number cube is rolled 3 times.
what is the number of possible outcomes?
Answer:
please give more info
Step-by-step explanation:
thanks
Rewrite the expression 24x - 12 using the distributive property? Find eight equivalent expressions.
Answer:
12(2x-1)
Step-by-step explanation:
[tex]\sf\large\green{\underbrace{\red{Question*}}}:[/tex]
[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Factorize}}}} [/tex]
[tex] {y}^{2} - 3y - 4y + 12[/tex]
[tex]9 {x}^{2} - 12x + 4[/tex]
[tex]\sf \rightarrow y^2 - 3y - 4y +12[/tex]
factor the common term 'y' and '-4'
[tex]\sf \rightarrow y(y - 3) - 4(y - 3)[/tex]
collect into groups
[tex]\sf \rightarrow (y- 4)(y - 3)[/tex]
Part B[tex]\sf \rightarrow 9x^2 - 12x + 4[/tex]
middle term split
[tex]\sf \rightarrow 9x^2 - 6x - 6x+ 4[/tex]
factor the common term '3x' and '-2'
[tex]\sf \rightarrow 3x(3x - 2) -2( 3x-2)[/tex]
collect into groups
[tex]\sf \rightarrow (3x -2)( 3x-2)[/tex]
simplify the following
[tex]\sf \rightarrow (3x -2)^2[/tex]
At what point does the line y = 5-x cut i. the y-axis ii. the x-axis?
Answer:
See below
Step-by-step explanation:
When x = 0 you will find the y-axis intercept to be
y = 5 - 0
y = 5
when y = 0 you will find the x - axis intercept to be
0 = 5 - x
x = 5
25 as a product of two primes
Answer:
Step-by-step explanation:
Apply the prime factorization method: [tex]5^2[/tex]
⇒ [tex]Answer:5^2[/tex]
Definition of prime factorization:
The factorization of a positive integer into its constituent prime numbers.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . .. . . . . . . . . .. . . . . . . .. . . .
We are asked to write 25 as a product of two primes.
A prime number is a number that can only be divided by 1 and itself.
So if we multiply two such numbers, we'll get 25.
These numbers are 5 and 5; 5 is only divisible (evenly) by 1 and itself.
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
What shape of distribution (Normal, Positive skew, or Negative skew) would you expect for a polygon of the following data? Income.
The shape of the distribution that would be expected of income is a Positive Skew.
What is the shape of a distribution on income?Income distribution in the world is such as only 1% earn more than the other 99%. This means that most people will be to the left of such a distribution.
A positively skewed distribution has more variables on the left which makes income a positively skewed distribution.
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The data for income is known to follow a normal distribution.
What is a normal distribution?The term normal distribution is used to describe a data set that leas to the appearance of a bell shaped curve called the normal curve.
The income of people follows a normal distribution since it has people on both extremes as well as some people at the middle of the curve.
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Which is not a correct way to rewrite this expression using the distributive property?
(4x^2 + 3x-7)(x-2)
The function f(x) =600+2x/x yields the average cost in dollars for a company to produce x calendars. Which statement best fits the situation modeled by the function?
The company spends $600 on a new computer and printer before beginning the project. Statement A best fits the situation modeled by the function.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The complete question is
"The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. Which statement best fits the situation modeled by the function?
a) The company spends $600 on a new computer and printer before beginning the project.
b) The company takes 600 photos before selecting which ones to use for its calendars.
c) The company expects to sell 600 calendars each month.
d) The company will sell the calendars for $6.00 each."
Given;
The average cost function is;
[tex]\rm f(x) =\frac{600+2x}{x}[/tex]
Where x is the number of calendars made. The formula for the average price is;
[tex]\rm Average \ cost = \frac{Total \ cost }{ no \ of \ items}[/tex]
After comparing the equation we get;
Total cost = 600+2x
Here, the original cost is 600, and each unit costs $2.The initial cost is a fixed expense that happens when productivity is zero. Before starting the project, the business invests $600 in a new computer and printer.
Hence, option a is correct.
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Answer:
The company spends $600 on a new computer and printer before beginning the project.
Step-by-step explanation:
its A
What can you conclude about the color of the l-bow roni box? helpppppppp
Assuming that the p-value of the color of L-Bow Roni box is below the significance level, the result would be statistically significant and vice-versa.
What is a confidence interval?A confidence interval simply refers to a range of estimated values that defines the probability that a population parameter would fall or lie within it.
In this scenario, we can infer and logically conclude that the p-value of the color of L-Bow Roni box falls below the significance level. Consequently, the result obtained would be statistically significant.
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Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
The true option about the solution to the system of inequalities shown is B. The second line has a positive slope and goes through (0, negative 3) and (1, 0).
How to explain the inequality?Plot these ordered pairs on a coordinate plane and connect them by straight lines.
The sign of both inequalities is "<"which means both lines are dotted and everything below the lines is shaded.
From the below graph it is clear that all values are satisfied.
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If f(x) = 2x^2 - 5 and g(x) = 3x3, find (f-g)(x).
[tex]\text{Given that,}~ f(x) = 2x^2 -5 ~ \text{and}~ g(x) = 3x^3\\\\\text{Now,}\\\\ ~~(f-g)(x)\\\\=f(x) - g(x)\\\\=2x^2 -5 - 3x^3\\\\=-3x^3 +2x^2 -5[/tex]
