Here, we want to get the value of x
We can get this by isolating x
We start by bringing like terms together
[tex]\begin{gathered} -7x\text{ = -4-8} \\ \\ -7x\text{ = -12} \\ \\ x\text{ = }\frac{-12}{-7} \\ \\ x\text{ = }\frac{12}{7} \end{gathered}[/tex]what's the result of adding these two polynomials: (2x+y+1) + (2x⁶-y+1)? I'm doing a test and the correct answer says is 4x⁶-2y+1 but I'm not very sure it is the correct one. Can someone help me? :3
Answer
[tex]\begin{equation*} 2x^6+2x+2 \end{equation*}[/tex]Step-by-step explanation
Given the polynomials:
[tex]\begin{gathered} 2x+y+1 \\ \text{ and} \\ 2x^6-y+1 \end{gathered}[/tex]To add them we need to add the similar terms (terms with the same variable and degree), as follows:
[tex]\begin{gathered} (2x+y+1)+(2x^6-y+1)= \\ =2x^6+2x+(y-y)+(1+1)= \\ =2x^6+2x+2 \end{gathered}[/tex]Write an algebraic expression for two less than the quotient of 15 and a number
The algebraic expression for two less than the quotient of 15 and a number is 15x - 2.
What is algebraic expression ?
At least one variable and one operation must be present in an algebraic expression (addition, subtraction, multiplication, division). One such algebraic expression is 2(x + 8y).
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can anyone help pleasee
Answer:
a) x³
b)y⁵
Step-by-step explanation:
Decide whether the random variable x is discrete or continuous. Explain your reasoning. Let x represent the time it takes to run a mile. Is the random variable x discrete or continuous?
The variable represents time. The time in which a person runs a mile will depend on the speed of that person, and that can take almost any value, thus, here the variable is continuous.
Is the variable discrete or continuous?First, when a variable is discrete and when it is continuous?
A variable is discrete if it only can take some selected values on a given interval, while a variable is continuous if it can take any value (or at least a dense set) of values in that interval.
For example, the numbers that one can roll on a dice form a discrete set, because the values can only be {1, 2, 3, 4, 5, 6}, just to given an example.
Now, in this case, the variable represents time. Time almost always is a continuous variable, in this case, the time is the time in which a person runs a mile. So that variable can take almost any value (depends on the speed of the person).
So we conclude that this is a continuous variable.
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Determine whether the function is bounded above, bounded below, or bounded on its domain.
y = 2
D. The function is neither above nor below its bounds.
What do "bounded" and "unbounded" functions mean?An unbounded function is one that is not bounded. The function is referred to as being bounded (from) above by A if it has real values and f(x) A for all x in X. The function is referred to as being bounded by B (from below) if f(x) B for all x in X
How do you know whether a sequence is bounded or not?A sequence is considered to be constrained if it has bounds above and below. Unbounded sequences exist when a sequence is not bounded. Because 1/n1 for all positive integers n, for instance, the sequence 1/n is confined above. Further, it
If there is an integer 2 such that for all x from the domain D(f), one has f (x) 2, we say that a real function f is bounded from below. If there is a number K such that for every x from the domain D(f), one has f (x) 2, then we say that a real function f is bounded from above.
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Kaitlin baked 56 cookies. Her family ate d of them. Using d, write an expression for the number of cookies that remained.
Find the value of x.
Answer:
64 = x
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
128 = 2x
Divide each side by 2
128/2 = 2x/2
64 = x
Answer:
x = 64
Step-by-step explanation:
We know that,
If lines are parallel, the alternate angles are also equal.
Therefore,
[tex] \sf2x = 128[/tex]
Now, let us solve for x.
For that, divide both sides by 2.
[tex]x = 64[/tex]
Vertical angles are two angles which are congruent. Below is an example of vertical
angles. Write an equation and solve for x.
(9y+7)°
go on play store and download symbolab it can help you
Please help me with this, I am not sure what to do.
Since [tex]x[/tex] is approaching 1 from the left/below, we take the part of [tex]f(x)[/tex] that is defined over [tex]x<1[/tex], for which we have
[tex]f(x) = \dfrac{x-1}{\sqrt{x-1}}[/tex]
Since [tex]x\neq1[/tex], we can simplify this to
[tex]f(x) = \dfrac{x-1}{(x-1)^{1/2}} = (x-1)^{1/2} = \sqrt{x-1}[/tex]
and this is continuous at [tex]x=1[/tex], so we can evaluate the limit by directly substituting [tex]x[/tex].
To summarize:
[tex]\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} \frac{x-1}{\sqrt{x-1}} = \lim_{x\to1} \sqrt{x-1} = \sqrt{1-1} = \boxed{0}[/tex]
Please help I’ll mark you as brainliest if correct!!
The set of letters in the word 'woodpecker' using the most concise method is {c, d, e, k, o, p, r, w}.
What is the difference between the roaster method and set builder notation?The elements (or members) of a set are enumerated in a row within curly brackets and separated by commas in the roster form; however, in the set-builder form, each element of the set is required to have only one property to be a member of the set.
Given: The word is 'woodpecker'
To write the set utilizing the listing (roster) method or the set builder notation.
The roster method or listing method exists as a method to show the elements of a set by listing the elements inside brackets.
Set builder notation exists as a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.
The set builder notation exists not have a suitable method to list the elements of the given word.
The most concise method to list the elements of the given word, 'woodpecker', exists in the listing (roster) method.
Using the listing (roster) method,
The set of letters of the given word is {c, d, e, k, o, p, r, w}.
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About 13,800 adult Pacific newts made their annual migration between November 2020 and March 2021. Roughly 2/5 didn't survive the trip. About how many newts survived crossing the road?
If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts
The number of adult Pacific newts made their annual migration = 13800
Roughly 2/5 didn't survive the trip
Then the number of newts didn't survive = 13800×(2/5)
= 13800×0.4
= 5520 newts
To find the number of newts survived, we have to use subtraction
The number of newts survived crossing the road = 13800-5520
= 8280 newts
Hence, If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts
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Let Q(x, y) be the statement "student x has become a contestant on quiz event y". Express each of the following sentences in terms of Q(x, y), quantifier, and logical connection, where the domain for x consists of all students in your major and for y consists of all quiz shows on television.
a) There is a student in your major who has become a contestant on a television quiz show.
b) No student in your major has ever been a contestant on a television quiz show.
c) There are students in your department who have been contestants for Family 100 and Super Deal Indonesia.
d) Every television quiz show has a student of your major as a contestant.
e) At least two students from your major have become contestants in Family 100
The statement is (a) [tex]E_{xy}[/tex] Q(x, y); (b) -Q(x, y); (c) [tex]E_{x}[/tex] (Q(x, jeopardy) ∩ Q(x, Wheel of fortune)); (d) ∀[tex]_{y}[/tex][tex]E_{x}[/tex]Q(x, y); (e) [tex]E_{x}E_{y}[/tex](x ≠ y) (Q(x, jeopardy) ∩ Q(y, jeopardy)).
what is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Given that,
Q(x, y) be the statement "student x has become a contestant on quiz event y",
where the domain for x consists of all students in your major and for y consists of all quiz shows on television.
a) [tex]E_{xy}[/tex] Q(x, y)
b) -Q(x, y)
c) [tex]E_{x}[/tex] (Q(x, jeopardy) ∩ Q(x, Wheel of fortune))
d) ∀[tex]_{y}[/tex][tex]E_{x}[/tex]Q(x, y)
e) [tex]E_{x}E_{y}[/tex](x ≠ y)(Q(x, jeopardy) ∩ Q(y, jeopardy)).
Therefore, the statements are above.
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The table shows claims and their probabilities for an insurance company. On any given claim, how much money can this company expect to pay?
The most appropriate choice for expectation will be given by-
Amount of money the company expected to pay = $10400
What is expectation?
At first it is important to know about probability of an event.
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Suppose x is a random variable with the probability function f(x). suppose [tex]x_1[/tex], [tex]x_2[/tex],....., [tex]x_n[/tex] are the values corrosponding to the actual occurance of the event and [tex]p_1,[/tex] [tex]p_2,[/tex]....,[tex]p_n[/tex] be the corrosponding probabilities.
Expectation is given by the formula
[tex]p_1x_1 + p_2x_2....+p_nx_n[/tex]
Here,
Amount of money the company expected to pay =
$[tex](0 \times 0.70 +20000 \times 0.16+ 40000 \times 0.09 + 60000 \times 0.03 + 80000 \times 0.01 + 100000 \times 0.01)[/tex]
= $10400
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A salesperson earns a commission of $624 for selling $3900 in merchandise. find commission rate
Answer:
16%
Step-by-step explanation:
A salesperson earns a commission of $624 for selling $3900 in merchandise. Find the rate of commission:
624 is ?% of 3,900
624/3,900 = 16% of 3,900
check answer:
3,900 * 0.16 = 624
Use point-slope form to write the equation of a line that passes through the point (8,17) with slope 3/2 .
The equation of the line with the given properties is y - 17 = 3/2(x - 18)
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the equation of the line in point-slope form?The points are given as
(8, 17)
The slope is given as
Slope = 3/2
Calculate the slope of the points using
m = (y2 - y1)/(x2 - x1)
Where
Slope = m = 3/2
(x1, y1) = (8, 17)
So, we have
3/2 = (y - 17)/(x - 8)
Cross multiply in the above equation
So, we have
y - 17 = 3/2(x - 18)
A linear equation is represented as
y = m(x - x1) + y1
In point-slope form, we have
y - y1 = m(x - x1)
By comparing y - y1 = m(x - x1) and y - 17 = 3/2(x - 18), we can see that
y - 17 = 3/2(x - 18) is in point-slope form
Hence, the equation in point-slope form of the line that passes through the point (8, 17) is y - 17 = 3/2(x - 18)
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x+5y=10 3x + 5y = 0 Graph each equation determine the solution of the system of equations
Answer:
Explanation:
Given the system of equations:
[tex]\begin{gathered} x+5y=10 \\ 3x+5y=0 \end{gathered}[/tex]To
A construction crew needs to pave a road that is 202 miles long. The crew paves 9 miles of the road each day. The length, L. (in miles), that is left to be paved
after d days is given by the following function.
L(d)=202-9d
Answer the following questions.
(a) How many miles of the road does the crew have left to pave after 12 days?
94 miles
(b) If 139 miles of the road is left to be paved, how many days has the crew been.
paving the road?
days
Answer:
7 days.
Step-by-step explanation:
139 = 202 - 9d subtract 2002 from both sides of the equation
-63 = -9d Divide both sides of the equation by -9
7 = d
In this project, you are asked to use data from a Survey that Sr. Barbara conducted in her MT 120 classes to determine whether the students in the class were randomly guessing the identities of the two men in the photos. This part of the project will be a lot like several of the explorations of Chapter 1, where you are using a statistic (, and using an applet to calculate a p-value. Does the p-value support the idea that the students were guessing, or does the p-value suggest that students were doing something other than guessing?
If the students were doing something other than guessing, use the statistic ( from the data to estimate a reasonable value for the parameter (π). This part of investigation goes beyond what have been learned already in this class, and challenges to experiment a bit to find a better estimate for the true population parameter for this scenario.
Background: A study in Psychonomic Bulletin and Review (Lea, Thomas, Lamkin, and Bell, 2007) presented evidence that "people use facial prototypes when they encounter different names." Participants in that study were given photos of two faces and asked to identify which face is "Tim" and which is "Bob." Sr. Barbara is replicating this study with students in her MT 120 Applied Statistics classes. On September 26 - 27, she asked students in all three sections of MT 120 to identify from two photos, which face belongs to "Bob" and which to "Tim." Were her students simply guessing, or were they doing something other than guessing?
On September 26 and 27, Sr. Barbara gave her students an opportunity to participate in a quick survey about Tim and Bob. She asked the students to quickly identify whether the face on the left belongs to a man named Tim or to a man named Bob. Forty-two students completed this survey. The results of this survey is that 9 students said that Bob was on the left while 33 students said Tim was on the left.
1. Data Collection Methods:
To replicate the study that appeared in Psychonomic Bulletin and Review, Sister Barbara did not ask "all people" to identify the men in the photos, but rather just a sample from a larger population. You may recall that she asked you to look at photos of two men, and to identify whether the face on the left was Bob or Tim.
· How, where, and when was this data collected? Who did Sister Barbara survey?
· Who or what are the observational units, and what is the variable for each observational unit? What is the statistic?
· What does this sample (students in Sr. Barbara's MT 120 classes) suggest to us about the larger population? Did Sister Barbara take a simple random sample to collect this data? Do you think it is reasonable for her to assume that this sample is representative of some larger population?
· What is the population to which it would be reasonable to extend these results? Does it seem reasonable to extend the results of this study to all undergraduate students at Cardinal Stritch University? To the population of all students (both grads and undergrads) at Stritch? To people beyond Stritch? All people in the United States? Beyond the United States? Why?
2. Summary and Conclusions:
White a paragraph summarizing this study.
· What did you learn about students in Sr. Barbara's classes, Stritch students, or people in general? Do these results surprise you? Why?
· If the p-value suggests that Sr. Barbara's students were doing something other than simply guessing, suggest a better value for the parameter (or an interval of plausible values for the parameter). Explain how you determined a plausible value (or interval of plausible values) for the parameter. This question asks you to go beyond what you've learned (so far) in this course. Use critical thinking to identify a reasonable value (or interval of possible values) for the parameter. Explain how your are doing this.
· What do you think is going on here? Do you think the students were guessing, or is something else going on?
Answer: So the subject’s answer is Chapter 5.
Step-by-step explanation: Because there is no evidence that Armenians are smart, and in Chapter 5 people are more frustrated than kind.
If I round 7/15 it will be 1. O True O False
Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
When Seema used compatible numbers to estimate the product of (–25.31)(9.61), her estimate is A. -250.
How to illustrate the information?From the information, it should be noted that Seema used compatible numbers to estimate the product of (–25.31)(9.61).
It should be noted that -25.31 when rounded will be -25.
It should be noted that 9.61 when rounded will be 10.
Therefore, the multiplication will be:
= -25 × 10
= -250.
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Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
-250
-240
240
250
A square has an area of 25cm squared. What is the length of each side?
(b) A square has a perimeter of 28cm. What is the length of each side?
Step-by-step explanation:
the length of each side will be 5 because the area of a square is L×Lwhich can also be said as 5×5=25
2. perimeter is addition of all sides which is solved as L+L+L+L= 28cm
also: 7+7+7+7= 28cm
2.сBOP-6-5-4-3-2-10В'Por boloAlA. (x.A. (x,y)+(-x,y+6)B. (x,y) → (x + 6,-y)(x,y) - (x - 12. y+6)D. (x,y)-(-x+6,-y)B.
SOLUTION
For the image point A has the coordinates (-3, 6) and A' is (3, -6) so with a translation of
[tex](x,\text{ y )}\rightarrow\text{ (}x+6,\text{ -y )}[/tex]We see A(-3, 6) as
[tex]A(-3,6)\rightarrow(-3+6,-6)\rightarrow A^{\prime}(3,-6)[/tex]And B(-2, 2) as
[tex]B(-2,2)\rightarrow(-2+6,-2)\rightarrow B^{\prime}(4,-2)[/tex]Therefore the correct translation is
[tex](x,\text{ y )}\rightarrow\text{ (}x+6,\text{ -y )}[/tex]Option B is the correct answer.
write a quadratic function in standard form containing the point (5,-6) and x-intercepts -7 and 3
The quadratic equation in standard form that contains the points (5, - 6), (- 7, 0) and (3, 0) is y = - (1 / 4) · x² - x + 21 / 4.
How to determine a quadratic function in standard form from a point and two x-interceptsHerein we find the equation of a parabola that contains a points and its x-intercepts (two real roots). According to fundamental theorem of algebra, we can derive a quadratic function with real coefficients if we know three points of the parabola. The procedure is shown below.
First, use the quadratic function in product form and substitute on all known variables to determine the lead coefficient:
y = a · (x + 7) · (x - 3)
- 6 = a · (5 + 7) · (5 - 3)
- 6 = a · 12 · 2
- 6 = 24 · a
a = - 6 / 24
a = - 1 / 4
Second, expand the quadratic function into its standard form:
y = - (1 / 4) · (x + 7) · (x - 3)
y = - (1 / 4) · (x² + 4 · x - 21)
y = - (1 / 4) · x² - x + 21 / 4
The quadratic equation in standard form is y = - (1 / 4) · x² - x + 21 / 4.
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How do I determaine the best answer for this?
The function 1 is,
[tex]y=\frac{1}{3}x[/tex]So rate of function is 1/3.
From the table function 2 it can be observed that the value of y is one third of x. The mathematical expression of function 2 is,
[tex]y=\frac{1}{3}x[/tex]So rate of function 2 is also 1/3.
Thus function 1 and function 2 have the same rate, 1/3.
In the figure below, line LN is tangent to circle O.
Which of the following can be concluded from the information?
A) ON is a radius of the circle.
B) angle MNO is a right triangle.
C) angle ONM is an obtuse angle.
D) angle OMN is a central angle of circle O.
The right information of the circle is as follows:
Triangle MNO is a right triangle.How to find the correct information of the circle?The line LN is the tangent to the circle O.
Tangent to a circle is a line that touches the circle at one point.
The point where tangent meets the circle is called point of tangency.
The tangent is perpendicular to the radius of the circle, with which it intersects.
Tangent to a circle is always perpendicular to the radius.
Therefore, the correct information from the circle can be found as follows:
Line ON is not the radius of the circle. The radius of a circle is a straight line from the centre of a circle to the circumference of a circle.The triangle MNO is a right triangle is the right information of the circle.Angle ONM is not an obtuse angle because it's less than 90 degrees. The angle OMN is 90 degrees. Therefore, the sum of the angles ONM and MON is equals to 90 degrees.OMN is not the central angle of the circle. The central angle of the circle is angle MON.learn more on tangent to circle here:https://brainly.com/question/4331689
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Answer: A) ON is a radius of the circle
Step-by-step explanation:
The line ON starts from the midpoint of the circle showing that it is half of the distance(radius)
Solve the proportion=3х
we have
x/3=5/2
multiply in cross
2*x=3*5
2x=15
x=15/2
x=7.5or
Multiply both sides by 3
3*(x/3)=3*(5/2)
x=15/2
x=7.5can someone please help me solve and help me graph for this equation?
Graph both equations. The coorinates of the point where the graphs intersect is the solution to the system of equations.
To graph them, notice that each equation corresponds to a line. A straight line can be drawn if two points on that line are given. Replace two different values of x into each equation to find its corresponding value of y, then, plot the coordinate pairs (x,y) to draw the lines.
First equation:
[tex]y=2x-3[/tex]For x=2 and x=5 we have that:
[tex]\begin{gathered} x=2 \\ \Rightarrow y=2(2)-3 \\ =4-3 \\ =1 \end{gathered}[/tex][tex]\begin{gathered} x=5 \\ \Rightarrow y=2(5)-3 \\ =10-3 \\ =7 \end{gathered}[/tex]Then, the points (2,1) and (5,7) belong to the line:
Second equation:
[tex]x+3y=12[/tex]For x=0 and x=6 we have:
[tex]\begin{gathered} x=0 \\ \Rightarrow0+3y=12 \\ \Rightarrow3y=12 \\ \Rightarrow y=\frac{12}{3} \\ \Rightarrow y=4 \end{gathered}[/tex][tex]\begin{gathered} x=6 \\ \Rightarrow6+3y=12 \\ \Rightarrow3y=12-6 \\ \Rightarrow3y=6 \\ \Rightarrow y=\frac{6}{3} \\ \Rightarrow y=2 \end{gathered}[/tex]Then, the points (0,4) and (6,2) belong to the line:
Solution:
The lines intersect at the point (3,3).
Then, the solution for this system of equations, is:
[tex]\begin{gathered} x=3 \\ y=3 \end{gathered}[/tex]Reflection across y=3
In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).
Given that,
In the picture, There is graph with a triangle.
The triangle is SNZ.
We have to find the reflection across y=3.
We have to draw a line on y=3.
On the line y=3,
Z point is there so it will be same that is (5,3).
Now, the point S is on (5,1)
Here, y is 1 that is 3+2=5
So, we take the reflected S point as (5,5)
Now, the point N is on (1,4)
Here, y is 4 that is 3-1=2
So, we take the reflected N point as (1,2).
Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).
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Please pls pls j beg
Answer:
Y/n had nothing in his hand. His friend gave him 8 oranges for him to eat. But on his way home he saw a hungry child and decided to give away 4 oranges to the child. How many oranges does he have now?
Darla wants to buy 3 identical gift cards. She wants to make sure her total
cost is no more than $3 above or below $75. Which of the following
inequalities represents this situation?
A. 13c-75 ≤3
B. 175+3c| ≤ 3
C. 13c-21 ≤60
D. 13c+21 ≤60
The inequality that represents this situation is Option(A.) 3c - 75 ≤ 3.
What are Inequalities?Inequality is created when two or more algebraic expressions are compared using the symbols >, <, ≥, or ≤. They represent mathematical expressions when neither side is equal. The majority of the time, size comparisons between two numbers on the number line are made using inequalities.Given:
Darla wants to buy 3 identical gift cards.
The total cost is no more than $3 above or below $75.
Let's assume that the cost of one gift card is $c.
Total Cost of 3 gift cards = $3c
Also, the total cost is no more than $3 above or below $75.
Hence, it would be -75 and less than 3.
Therefore, the inequality is 3c - 75 ≤ 3.
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