Answer: x has no solutions
Step-by-step explanation:
|x-1| + 5 = 2
|x-1| + 5 - 5 = 2-5
|x-1| + 5 - 5 = -3
|x-1| = -3 ==> Absolute value functions can't be negative. Hence, there is no solution.
x has no solutions
28. Use the properties of the mean and median to determine which
are the correct mean and median for the following histogram.
(i) Mean is 3.6; median is 4.8
(ii) Mean is 4.8; median is 3.6
(iii) Mean is 3.5; median is 3.1
(iv) Mean is 4.2; median is 4.1
The properties of the mean and median to determine which
are the correct mean and median for the following histogram. The answer is Mean is 3.5; median is 3.1.
Mean
[tex]\mu=& \varepsilon x \cdot P(x)[/tex]
= 0(0.04)+1(0.08)+2(0.125)+3(0.24) +4(0.15)+5(0.14)+6(0.12)+7(0.05)
= 0+0.08+0.25+0.72+0.6+0.7+0.72+0.35
= 3.42 [Approx: 3.5]
Mean =3.5 of median 3.1.
A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data collection is called the mode.
The median is computed by sorting the scores into numerical order, dividing the total by 2, rounding the result up if the number of scores is odd to determine the median position, or by averaging the median position and the position after it, if the number of scores is even.
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what is -14/64 as a decimal ?
Hi ~
︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵
-14/64
⚜ E x p l a n t i o n : -Divide the numbers: [tex]\bold{14}[/tex] ÷ [tex]\bold{64 = 0.21875}[/tex]
[tex]\bold{= -0.21875}[/tex]
Hope It Helps...
[tex]\textsc{A \: n \: s \: w \: e \: r:}[/tex]
TheAestheticGirl
while standing in front of the school, jace recorded the number of students who walked, rode their bikes, took the bus, and were driven there.
This is an observational study because this is taken as observing all possible ways.
What is observational study?An observational review is utilized to respond to an exploration question dependent simply upon what the scientist notices. There is no impedance or control of the examination subjects, and no control and treatment gatherings. These examinations are much of the time subjective in nature and can be utilized for both exploratory and logical examination purposes. In observational examinations, the analyst isn't permitted to control anything. They just notice and gather patterns inside the set up and hypothesize from those outcomes. Observational examination takes into consideration more precise information assortment, eliminating predispositions and inspecting blunders. Notwithstanding, it tends to be tedious because of extended periods of time of dormancy.
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According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation 0=−8x10−2x7+8x4−4x2−1?
Drag the choices to the boxes to correctly complete the table.
According to Descartes' rule of sign,
a. We have 0 or 2 real positive roots for the equation and
b. We have 0 or 2 real negative roots for the equation.
What is Descartes'rule of sign?Descartes' rule of sign states that
The number of real positive zero of a polynomial f(x) is the number of sign changes of the coefficients of f(x) or an even number less than the number of sign changes of the coefficients of f(x)The number of real negative zero of a polynomial f(x) is the number of sign changes of the coefficients of f(-x) or an even number less than the number of sign changes of the coefficients of f(-x)How to find the number of possible positive and negative roots are there for the equation?Since we have the equation 0 = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1, we now re-write it as a polynomial function. So, it is now f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1
a. What are the number of positive rootsTo find the number of positive roots, we require the number of sign changes of the polynomial f(x).
Thus, f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1
Thus, the coefficients of f(x) are -8, -2, + 8, -4, -1, and we see that there are two sign changes from -2 to + 8 and from + 8 to -4.
Thus, there are 2 or 2 - 2 = 0 real positive roots.
Thus, we have 0 or 2 real positive roots for the equation.
b. What are the number of negative rootsTo find the number of negative roots, we thus need to find the number of sign changes of the polynomial f(-x).
Thus, f(-x) = −8(-x)¹⁰ − 2(-x)⁷ + 8(-x)⁴ − 4(-x)² − 1
= −8x¹⁰ + 2x⁷ + 8x⁴ − 4x² − 1
Thus, the coefficients of f-(x) are -8, +2, + 8, -4, -1. We see that there are two sign changes from -8 to + 2 and from + 8 to -4.
Thus, there are 2 or 2 - 2 = 0 real negative roots.
Thus, there are 0 or 2 real negative roots for the equation.
Thus,
We have 0 or 2 real positive roots for the equation andWe have are 0 or 2 real negative roots for the equation.Learn more about Descartes' rule of sign here:
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Math question on how to evaluate f(5)
The value of f(5) in the function are - 9 . Option B
What is function?A function can be defined as an expression, rule or law that shows the relationship between a dependent variable or independent variable.
Given the functions;
f(x) = 3x - 1 (1)f(x) = 1 - 2x (2)To determine the value f(5), substitute the value of x as 5
x > 1 , so we use equation 2
From function (2)
f(5) = 1 - 2x
f(5) = 1 - 2(5)
f(5) = 1 - 10
f(5) = - 9
Thus, the value of f(5) in the function are - 9 . Option B
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n a triangle, the ratio of the measures of the sides is 2: 2: 3 and the perimeter is 392 inches. Find the length of the longest side of the triangle.
Answer:
168 inches
Step-by-step explanation:
Find the mean of the data set: 9, 6, 7, 3, 10, 9
A. 6
B. 7
C. 8
D. 9
Answer: 7
Step-by-step explanation: add all the numbers up and divide them by how many numbers they are
Need help on this problem
The given equation solved for z is z = s/(r - 6c⁴)
Solving linear equationsFrom the questions, we are to solve the given equation for the specified value
The given equation is
s = zr - 6zc⁴
The specified value is z.
Thus, we are to solve for z.
Solving for z
s = zr - 6zc⁴
First, factor out z
s = z(r - 6c⁴)
Now, divide both sides by r - 6c⁴
s/(r - 6c⁴) = z(r - 6c⁴)/r - 6c⁴
s/(r - 6c⁴) = z
∴ z = s/(r - 6c⁴)
Hence, the given equation solved for z is z = s/(r - 6c⁴)
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G
H
OI and M
OJ and L
OH and N
OG and O
-6
-5
264
K
-3
1Which two points are 4 units from K?
L
-2
3
-1
N
0
Help please!
I also need an explaination on how to do it.
Which expression is equivalent to −4 + 9 − 2x − 9x?
−11x + 5
−11x + 13
−11x − 5
11x + 13
Answer:
−11x + 5Step-by-step explanation:
−4 + 9 − 2x −9x
−4 + 9 + − 2x + −9x
Combine Like Terms:−4 + 9 + −2x +− 9x
( −2x+−9x )+( −4+9 )
−11x + 5
For the following problem, match the name of the number property that was used to get to each step from the previous step.
37x2x(-5+1/2+5)
Answer:
74
Step-by-step explanation:
Multiplication
37×2=74
Brackets
Addition
1/2+5=6
Subtraction
6-5=1
The whole question will read as 74x1
The answer will be 74
In order to calculate the market basket used for the cpi, what information is needed
Market pricing and the goods and services purchased by the average household must be taken into account in order to compute the market basket utilized for the cpi.
The cpi formula is Market Price in the current year / Base year x 100.
What is meant by price market?
The rate at which a product or service can potentially be bought or sold is known as the market price. The supply and demand forces determine the market price of a good or service; the price at which the quantity supplied and demanded are equal is the market price.Market price is the price that is in effect on a specific day or at a specific moment. It is the outcome of supply and demand in the market. The normal price, on the other hand, is the outcome of long-term supply and demand.To learn more about Market price, visit:
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call a set of integers spacy if it contains no more than one out of any three consecutive integers. how many subsets of , including the empty set, are spacy?
According to the given statement, there are 129 spacy subsets of, such as the empty set.
The correct option is E.
What is consecutive integers?Whole numbers that followed each other with no gaps are known as consecutive integers. For example, the numbers 15, 16, and 17 are all consecutive integers. If is an integer, then the following consecutive integers begin at:,, and so on.
According to the given data:A divider counting argument can be employed because each member of the subgroups must be at least two apart.
We select no more than four numbers first from set 1,2,3,4,5,6,7,8,9,10,11,12. Let's use balls to represent these numbers. There are least two dividers between each of the balls.
So for example, o | | o | | o | | o | | represents {1,4,7,10}.
There must be 2(k - 1) dividers between both the balls in subsets of size k, leaving 12 - k - 2(k - 1) = 12 - 3k + 2 dividers to be placed at k + 1 spots between the balls.
[tex]\left(\begin{array}{c}(12-3 k+2)+(k+1)-1 \\k\end{array}\right)=\left(\begin{array}{c}12-2 k+2 \\k\end{array}\right)[/tex]
As a result, the number of spacy subsets is reduced:
[tex]\left(\begin{array}{l}6 \\4\end{array}\right)+\left(\begin{array}{l}8 \\3\end{array}\right)+\left(\begin{array}{c}10 \\2\end{array}\right)+\left(\begin{array}{c}12 \\1\end{array}\right)+\left(\begin{array}{c}14 \\0\end{array}\right)[/tex] = 129
According to the given statement, there are 129 spacy subsets of, such as the empty set.
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I understand that the question you are looking for is:
Call a set of integers spacy if it contains no more than one out of any three consecutive integers. How many subsets of $\{1,2,3,\ldots,12\},$ including the empty set, are spacy?
(A).121
(B). 123
(C). 125
(D). 127
(E) 129
The principal is measuring the floor of the second-grade classroom.
What is the best estimate for the length of a classroom?
The best measure to do so will be is in feet that is the principal will measure it as 10 feet.
The principal has to measure the floor of the second grade classroom.
The best measure to do so will be is in feet
As centimeters and inches will be too short to measure it and can cause problems while further maintaining the records.
Yards on the other hand is a too big unit of measurement to bthe length of the classroom.
Therefore, the best measure to do so will be is in feet that is the principal will measure it as 10 feet.
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Your question was incomplete. Please refer the content below
The principal is measuring the floor of the second-grade classroom.
What is the best estimate for the length of a classroom?
10 yards
10 centimeters.
10 feet
10 inches
The width of a rectangle is the length minus 5 units. The area of the rectangle is 24
units. What is the length, in units, of the rectangle?
Answer:
L = 8
w = 3
Step-by-step explanation:
Givens
w = L - 5
L = x
Area = 24
Formula
Area = L * w
Solution
Area = (x) * (x - 5)
24 = x * (x - 5) Remove the brackets
24 = x^2 - 5x Subtract 24 from both sides
0 = x^2 - 5x - 24 This will factor
0 = (x - 8)(x + 3)
x + 3 is an extraneous root. You cannot have a length of -3 units no matter what the units are.
x - 8 = 0
x = 8
Answer
The length = 8
The width is = 8 - 5 = 3
The second side of a triangular deck is 3 feet longer than the shortest side, and the third side is 3 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 52 feet, what are the lengths of the three sides?
The shortest side of the triangle measures 17 feet.The second side of the triangle measures 20 feet.The third side of the triangle measures 31 feet.What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle. Let the shortest side be represented with s.The second side = 3 + s The third side = 2s - 3 2s - 3 + 3 + s + s = 68 4s = 68s = 17The second side = 17 + 3 = 20 The third side = = (2 x 17) - 3 = 31
Alessa had 50 in her account. she then received four $-25 charges to her account. what is the new balance of her account?
Describe how you would graph the inequality x ≥−13
Pls help me
PLS HELP Precalculus Unit 3 sample work for Connexus I got the rest of it figured out, it's these two that I'm having trouble with.
The asymptotes of the graph are vertical asymptotes as; x = 0 and x = -4
The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞
What is the Asymptote of the graph?An asymptote is defined as a line that a curve approaches, as it heads towards infinity. There are three types of Asymptotes namely horizontal, vertical and oblique.
It is called a Horizontal Asymptote when as x goes to positive or negative infinity the curve approaches some constant value.
It is called a Vertical Asymptote when as x approaches some constant value (from the left or right) then the curve goes towards positive or negative infinity
It is called an Oblique Asymptote when as x goes to positive or negative infinity, then the curve goes towards a line y = mx + b
Thus, the asymptotes of the graph are vertical asymptotes as;
x = 0 and x = -4
The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞
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A walking tour of Washington, D.C., costs $20 per person. Show that the relationship between the number of people in a tour group and the total cost is a proportional relationship. Write an equation for the relationship.
The Total cost for a tour group consisting of n number of people is 20n
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let T represent the total cost if a tour group consisting of n people
Since A walking tour of Washington, D.C., costs $20 per person. Hence, for n number of people:
Total cost = $20 per person * n persons = 20n
The Total cost for a tour group consisting of n number of people is 20n
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Mr. Wise is ordering a set of books for his class. Each book costs $6. There is a flat shipping fee of $5. The table below shows the relationship between the total cost, c, and the number of books, b. Fill in the blanks to complete the table. Number of Book, b 2 [a] 6 [b] 10 Total Cost ($), c 17 29 [c] 53 65
Filling the table to show the relationship between the total cost, c, and the number of books ordered is as follows:
Number of Books Total Cost ($)
2 $17 ($6 x 2 + $5)
6 $41 ($6 x 6 + $5)
10 $65 ($6 x 2 + $5)
What is the total cost?The total cost is a function of the number of units and the variable cost per unit plus the fixed costs.
For instance, the total cost of 9 books, in this scenario, is $59 ($6 x 9 + $5).
Data and Calculations:Cost per book = $6
Shipping fee = $5
Number of Books Total Cost ($)
2 $17 ($6 x 2 + $5)
6 $41 ($6 x 6 + $5)
10 $65 ($6 x 2 + $5)
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In a rotation pairs of corresponding points are on parallel lines true or false
In a rotation, parallel lines connect pairs of corresponding spots. If the two lines are parallel, corresponding angles are congruent. Corresponding pairs are all angles that are positioned in relation to the parallel and transversal lines in the same way.
What do you mean by correlating angles?Any pair of angles that is both on the same side of the transversal and on one of the two lines that it cuts.
Congruent is what?When two figures or objects in geometry have the same shapes, sizes, or are mirror images of one another, they are said to be congruent.
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Select the correct answer.
Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been transformed to produce figure 2.
-00
55-
N
2
N
ON
6
80
Which notation describes this transformation?
OA. (x,y) = (x,-)
OB. (x,y)=(x-4,y - 8)
OC. (x,y) = (x - 8,y - 8)
OD. (x,y)= (-2,-y)
9.
8.
Using translation concepts, the notation that describes this transformation is:
C. (x,y) -> (x - 8, y - 8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
To generate figure 2 from figure 1, these following translations happened:
8 units left, hence x -> x - 8.8 units down, hence y -> y - 8.Thus the rule is given by:
C. (x,y) -> (x - 8, y - 8).
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Answer: (x',y') = (x - 4,y - 8)
Step-by-step explanation:
Find the volume of a cube that has a total surface area of 54 square millimeters.
The volume of a cube that has a total surface area of 54 square millimeters is 27 cubic millimeters
How to determine the volume?The surface area is given as
A = 54
This is calculated using
A = 6L^2
So, we have
6L^2 = 54
Divide
L^2 = 9
This gives
L = 3
The volume is
V = L^3
This gives
V = 3^3
Evaluate
V = 27
Hence, the volume of a cube that has a total surface area of 54 square millimeters is 27 cubic millimeters
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simplify (4a-3)(a-9)=4a² -39a+27
Answer:
Step-by-step explanation:
0=0
Please help me :3 please explain
Using a proportional relationship, the amounts are given as follows:
Tennis 3, Soccer 7.Tennis 36, Soccer 84.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, we have that:
The input variable is the number of tennis players.The output variable is the number of soccer players.From the first row of the table, the constant is given as follows:
k = 35/15 = 7/3.
Hence the relationship is:
y = 7/3x.
For the second row of the table, we have that x = 3, hence:
y = 7/3 x 3 = 7.
For the third row of the table, we have that y = 84, hence:
84 = 7/3x
x = 84 x 3/7
x = 36.
Then the amounts are given as follows:
Tennis 3, Soccer 7.Tennis 36, Soccer 84.More can be learned about proportional relationships at https://brainly.com/question/10424180
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Solve 4∣x+5∣=24
A.x = –11 and x = –1
B.x = 11 and x = –1
C.x = –11 and x = 1
D.x = 11 and x = –11
Step-by-step explanation:
You first need to get the absolute vaule of x+5 by its self. So you need to divide 4 on yet sides
[tex] |x + 5| = 6[/tex]
Then set up two equations a negative and a postive on
[tex] |x + 5| = 6[/tex]
x=1
[tex] |x + 5| = - 6[/tex]
x=-11
Hope that helped!
Feel free to ask questions!
-1/4 x-6 =2 what is x equal to
Answer:
x=−32Step-by-step explanation:
−1/4x−6=2
Add 6 to both sides:−1/4x−6+6=2+6
−1/4x=8
Multiply both sides by 4/(-1):(4−1)*(−14x)=(4−1)*(8)
x=−32
Answer: x=−32
−1/4x−6=2
Add 6 to both sides:
−1/4x−6+6=2+6
−1/4x=8
Multiply both sides by 4/(-1):
(4−1)*(−14x)=(4−1)*(8)
x=−32
Step-by-step explanation: hope this helps!!!
2 divided by $1.03 round to the nearest cent ?
Answer:
.05
Step-by-step explanation:
The image represents what geometric construction?
A Parallel Lines Construction
B Copy an Angle Construction
C Angle Bisector Construction
D Perpendicular Bisector Construction