Answer:
a on edg
Step-by-step explanation:
i just did the question
The correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
In this case, the given function is:
F(x) = (x - 4)/(x - 3)
The function is defined for all real numbers (x ∈ R) except when the denominator (x - 3) becomes zero, as division by zero is undefined.
Therefore, we need to find the value of x that makes the denominator zero and exclude that value from the domain.
The denominator becomes zero when:
x - 3 = 0
x = 3
So, the domain of the function is {x | x ∈ R, x ≠ 3}. This set notation means that the function is defined for all real numbers except x = 3. Thus, the correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
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The complete question:
F(x) = (x - 4)/(x - 3)
Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}
are the triangles similar? explain. please help
Answer:
The triangles are similar.
Step-by-step explanation:
The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.
Answer:
Yes
Step-by-step explanation:
(i) By AA similarity
Both have two equal angles, 40° and 60°, therefore they can be defined as similar by AA similarity(ii) By SSS similarity
AB/DC = 32/40 = 4/5BC/EF = 24/30 = 4/5AC/DF = 36/45 = 4/5As the ratio of the sides of both triangles are equal, they are defined as similar by SSS similarityJulia is going to invest $860 and leave it in an account for 8 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Julia to end up with $1,190?
Answer:
$860(860×12×8×1190÷100)
81872_860
=$81012
Academic Testing Professor Frank Nabarro insists that all senior physics majors take his notorious physics aptitude test. The test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 50% of the seniors who do go on to a career in physics still fail the test. Further, 80% of all senior physics majors in fact go on to a career in physics. Assuming that you fail the test, what is the probability that you will not go on to a career in physics? (Round your answer to four decimal places.)
Answer:
ledsen jag vet inte din fråga väldigt ledsen vara vän med dig
helppp!!!
Which expression is equivalent to 5a2+ 15a - 5?
A. 2042 - 5
B. 5a² + 10a
c. q2 + 3a - 1
D. 5a² + 20a - 5a - 5
Answer:
[tex]D)~~ 5a^2 +20a -5a -5[/tex]
Step-by-step explanation:
[tex]5a^2 +20a -5a -5 = 5a^2 +15a -5[/tex]
Answer:
D
Step-by-step explanation:
5a2 is same, -5 is same and 20a - 5a is same as 15a
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Jack has the following scores on exams in his math class.
81, 87, 93, 89, 61, 81
If he wants to make his performance sound as good as possible, which measure should he use—the mean, the median, or the mode of his exam grades when he talks about how he is doing? Explain.
In you response, make sure to:
calculate the mean,
calculate the median, and
calculate the mode of his exam grades
compare and pick the measure that makes his performance sound as good as possible.
Answer:
The median, which is 90%.
Step-by-step explanation:
Mean: sum of (81, 87, 93, 89, 61, 81) / 6 = 82%
Median: Middle number from lowest to highest. Between 87 and 93 so its (87+93)/2 = 90%
Mode: Number that occured most often, 81%
Use the point–slope formula to write an equation of the line that passes through −4,15 and has a slope of m = − 4. Write the answer in slope–intercept form (if possible).
The equation of the line is_____
Let's split this problem into several steps:
Let's first put it into the point-slope form:
⇒ Point-slope form ⇒ [tex](y-y0)=m(x-x0)[/tex]
(x0,y0) --> any point on the linem --> slopeConsider the information given:
(x0,y0) --> (-4,15)m --> -4Let's plug the numbers in:
[tex]y - 15=-4(x+4)\\[/tex]
To put this format into slope-intercept form, we will solve for y:
⇒as in, move everything else to one side and y by itself on the other
[tex]y - 15=-4(x+4)\\y-15=-4x-16\\y = -4x-16+15\\y=-4x-1[/tex]
Thus the equation of the line is --> [tex]y = -4x - 1[/tex]
Hope that helps!
What is the approximate volume of the cylinder? Use 227 for π. Round to the nearest whole.
A cylinder with radius 3 centimeters and height 7 centimeters.
66 cm3
132 cm3
198 cm3
264 cm3
Answer:
The answer is 198cm3.
Step-by-step explanation:
Since the radius is 3 and the height is 7, use V=πr^2h
V=πr^2h=π·3^2·7=197.92034
round to the nearest whole and it gives you 198cm3
Answer:
C
Step-by-step explanation:
198 cm3
HOPE I WAS ABLE TO HELP!
A recipe calls for 1/2 cup of sugar for every 3/4 cup of flour. How much sugar is required for every cup of flour?
Answer:
2/3
Step-by-step explanation:
cup of sugar used for 3/4 cup of flour = 1/2
cup of sugar used for 1 cup of flour = 1/2*4/3 =2/3
After participating in a track meet, athletes were given the option to drink a sports drink or water. The results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not to drink anything. Of those that chose water or a sports drink, 27 athletes choose to drink both.
How many athletes did not choose water?
1.) 99
2.) 85
3.) 72
4.) 58
Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.
Which equation can be used to determine c, the unknown concentration?
30c + 10(0.2) = 40(0.32)
StartFraction 3 Over 4 EndFraction left-parenthesis c right parenthesis plus left-parenthesis StartFraction 1 Over 4 EndFraction left-parenthesis 0.2 right-parenthesis right-parenthesis equals 40 times 0.32.(c) + StartFraction 1 Over 4 EndFraction cup.(0.2) = 40(0.32)
(c)( (0.2)) = 40(0.32)
30(c)(10(0.2)) = 40(0.32)
Answer:
Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid
Step-by-step explanation:
Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:
10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8
To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8
Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36
Therefore the unknown solution is 36% acid.
Answer:
The first option (30c + 10(0.2) = 40(0.32)
super urgent can someone help me with this i spent a lot of points and i received a fake answer
Answer:
(a) 3, 2, -3, -7, -12, -18, -25, -33 etc.
(b) -44, -12, -4, 4, 12, 44
Step-by-step explanation:
Integer: whole numbers (including negatives)
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers (d and e) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d+e=b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.Question (a)
Given quadratic: [tex]kx^2+5x+2[/tex]
[tex]\implies a=k, b=5\: \textsf{and}\:c=2[/tex]
You don't have to do this, but it is helpful to first find the range of k. To do this, use the discriminant [tex]b^2-4ac[/tex].
If the quadratic has 2 real roots then [tex]b^2-4ac > 0[/tex]
If the quadratic has 1 real root then [tex]b^2-4ac = 0[/tex]
Therefore, set the discriminant to ≥ 0
[tex]\implies 5^2-4(k)(2)\geq 0[/tex]
[tex]\implies 25-8k\geq 0[/tex]
[tex]\implies -8k\geq -25[/tex]
[tex]\implies 8k\leq 25[/tex]
[tex]\implies k\leq 3.125[/tex]
As k is an integer, [tex]k\leq 3[/tex]
Given quadratic: [tex]kx^2+5x+2[/tex]
[tex]\implies ac=k \cdot 2=2k[/tex]
[tex]\implies d+e=5[/tex]
So we need to find pairs of numbers that sum to 5 and multiply to a (negative or positive) even number, since [tex]ac=2k[/tex]
2 + 3 = 5 and 2 · 3 = 6 ⇒ 2k = 6 ⇒ k = 3
1 + 4 = 5 and 1 · 4 = 4 ⇒ 2k = 4 ⇒ k = 2
-1 + 6 = 5 and -1 · 6 = -6 ⇒ 2k = -6 ⇒ k = -3
-2 + 7 = 5 and -2 · 7 = -14 ⇒ 2k = -14 ⇒ k = -7
-3 + 8 = 5 and -3 · 8 = -24 ⇒ 2k = -24 ⇒ k = -12
-4 + 9 = 5 and -4 · 9 = -36 ⇒ 2k = -36 ⇒ k = -18
-5 + 10 = 5 and -5 · 10 = -50 ⇒ 2k = -50 ⇒ k = -25
-6 + 11 = 5 and -6 · 11 = -66 ⇒ 2k = -66 ⇒ k = -33
etc.
Therefore, possible values of k are:
3, 2, -3, -7, -12, -18, -25, -33 etc.
-------------------------------------------------------------------------------------------
Question (b)
Given quadratic: [tex]9x^2+kx-5[/tex]
[tex]\implies a=9, b=k\: \textsf{and}\:c=-5[/tex]
[tex]\implies ac=9 \cdot -5=-45[/tex]
Find factors of -45:
1 and -45-1 and 453 and -15-3 and 155 and -9-5 and 9As [tex]a+c=k[/tex]:
1 + -45 = -44-1 + 45 = 443 + -15 = -12-3 + 15 = 125 + -9 = -4-5 + 9 = 4Therefore, all possible values of k are -44, -12, -4, 4, 12, 44
Find the greatest common factor of 12x3y2 and 24xy3.
24xyz
O 12x3y3
O 12
O 12xyz
Answer:
b: 12
Step-by-step explanation:
24xy3 doesnt have x3 in it
So it cant be regarded as a factor
Brainliest please
expand and simplify (2x + 1) (x + 3)
AHHH I'M LOSING POINTS PLEASE HELP
Answer:
Top Middle in the top column, rest bottom i think
Step-by-step explanation:
She sold 3 1/4 pie in the entire day, srry if i'm wrong friend.
can somebody help me? anybody know the answer
Answer:
25 = c
Step-by-step explanation:
You had a good start on filling in the values in the Pythagorean Theorem. The work needed to be finished.
[tex]a^2 +b^2 = c^2\\\\20^2 +15^2=c^2\\\\400+225=c^2\\\\625=c^2\\\\\sqrt{625}=\sqrt{c^2}\\\\\boxed{25=c}[/tex]
Which of the following best describes AB in the regular pyramid below? A B A. Altitude B. Slant height C. Face D. Edge
Answer:
the correct answer is
option b
slant height
Step-by-step explanation:
slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base
distance from the center of the base to the point where the slant height segment
The line AB in the pyramid is the slant height of the pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.
Given is a pyramid with AB labelled at one of its face, we need to determine the name for AB,
So, here AB is the slant height.
Slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base distance from the center of the base to the point where the slant height segment.
Hence, the line AB in the pyramid is the slant height of the pyramid.
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Which of the following is the absolute value parent function?
O A. F(x) = 1/x
O B. F(x) = [X]
O C. F(x) = x
O D. Rx) = (x1 - 1
Answer:
Answer c is the correct one
The absolute value parent function is typically denoted as f(x) = |x|.
None of the given options matches the absolute value parent function.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The absolute value parent function is typically denoted as f(x) = |x|. Therefore, none of the given options matches the absolute value parent function exactly.
f(x) = [x], represents the greatest integer function, also known as the floor function, which returns the largest integer less than or equal to x.
f(x) = 1/x, is a rational function, which has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
f(x) = x, is a linear function, which has a constant slope of 1.
f(x) = (x-1), is a linear function with a slope of 1, but it is shifted to the right by 1 unit.
Therefore,
The absolute value parent function is f(x) = |x|.
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The circumference of a circle is 19π m. What is the area, in square meters? Express your answer in terms of pi
1. What is the domain and range for the following function and its inverse? f(x) = x² +3
Answer:
Step-by-step explanation:
x^2 + 3
The domain is All Real x and the range is f(x) ≥ 3.
Find its inverse:
y = x^2 + 3
x^2 = y - 3
x = √(y - 3)
So f-1(x) = √(x - 3)
The domain is x ≥ 3 and range is f(x) ≥ 0.
Two similar triangles are shown on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6. Which set of transformations has been performed on triangle ABC to form triangle A'B'C'? Dilation by a scale factor of 4 followed by reflection about the x-axis Dilation by a scale factor of 2 followed by reflection about the x-axis Dilation by a scale factor of 4 followed by reflection about the y-axis Dilation by a scale factor of 2 followed by reflection about the y-axis\
The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis " ⇒ 2nd answer
Step-by-step explanation:
Lets revise some important rules
The corresponding sides of similar triangles have constant ratio
Dilation makes a triangle and its image similar
Reflection about x-axis change the sign of the y-coordinate of a point after reflected about the x-axis
Δ ABC and Δ A'B'C are similar after set of transformations has been
performed on Δ ABC to form Δ A'B'C'
∵ The vertices of triangle ABC are:
A = (-2 , -1) , B = (0 , 0) , C = (1 , -3)
∵ The vertices of triangle A'B'C' are:
A' = (-4 , 2) , B' = (0 , 0) , C' = (2 , 6)
∵ x-coordinate of point A = -2 and x-coordinate of point A' = -4
∵ y-coordinate of point A = -1 and y-coordinate of point A' = 2
∵ x-coordinate of point B = 0 and x-coordinate of point B' = 0
∵ y-coordinate of point B = 0 and y-coordinate of point B' = 0
∵ x-coordinate of point C = 1 and x-coordinate of point C' = 2
∵ y-coordinate of point C = -3 and y-coordinate of point C' = 6
∵ Each coordinate of the vertices A , B , C is multiplied by 2 to give
the coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is dilated by scale factor of 2
∵ The signs of y-coordinates of the vertices A , B , C is opposite to
the signs of y-coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is reflected about the x-axis
The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis "
Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities. (a) What was the least amount of snowfall in any of the cities? (b) In which quarter is the data most concentrated? Explain how you know. (c) In which quarter is the data most spread out? Explain how you know.
Answer:
c
Step-by-step explanation:
I can do this so fast I know I am a high school
Why is it important to establish a positive credit history?
Good credit will give you a better career.
Good credit gives you a higher salary.
Good credit helps you rent an apartment.
Good credit will allow you to write more checks.
Answer:
Good credit will give you a better career.
Whats the answer please help!
At the Kansas City Airport, a group of pilots for Skyways and Yellow Jet airlines were asked whether their flights were flying east or west. The two-way table shows their answers.
Flight Directions
A 4-column table with 3 rows. The first column has no label with entries skyways, yellow jet, total. The second column is labeled East with entries 30, 65, 65. The third column is labeled West with entries 33, 34, 67. The fourth column is labeled total with entries 63, 69, 132.
Which joint frequency has the most flights?
The joint frequency with the most flights in the given two-way frequency table is: yellow jet, going east.
What is a Two-way Frequency Table?A two-way frequency table is a table that displays joint frequency of two categorical variables using rows and columns to represent each.
Looking at the two-way table given, yellow jet, going east is the cell with the most flight. So, the joint frequency with the most flights is: yellow jet, going east.
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Answer:
c
Step-by-step explanation:
a combination of numbers symbols and operations that shows a certain value
Look at this rectangle. Find the value of t.
Answer:
t=8
Step-by-step explanation:
t=8 is your answer
If you need solution do let me know in the comments
If right angle ABC C is a right angle and sin a = sinB what is m a
Answer: As a result, the angle between m and n is 45 degrees.
PLEASE HELP ME WITH THIS!! IM STRUGGLING
Answer:
A: (0,-12)
Step-by-step explanation:
This chart is really helpful!
You just have to flip the coordinates and make the x value negative.
Have a great day!
Find x +y + z.
what is x,y, and z
Answer:
Hi, Victoria. When you are dealing with a system of equations in three variables, you want to see first if there is anyway that you can eliminate two variables in one fell swoop. Remember that for any one given equation, you can multiply both sides by the same number without making the equation untrue. Also, remember that you can add or subtract two equations.
If we add the first and second equations, we will eliminate both the x and the y.
(2x + y + z) + (2x - y - z) = (3) + (9)
Explain the difference between probability, chance, and odds
Answer:
Probability: The fraction you would expect to see a certain event occurring in many trials.
Ex: the probability of an event (blank) happening might be 0.75. This is more known as the normalized probability.
Chance: Chance is a synonym of probability, is usually expressed as a percentage
Ex: 100%
Odds: They are the ratios of probabilities, they can be defined in two different ways: odds in favor of an event (“odds on”) or against an event (“odds against").
Ex: let's just say if the probability of an event occurring is 0.75, then the odds for it happening are 0.75/0.25 = 3/1 = 3 to 1 while the probability that it doesn’t occur is 1 to 3 against.
Step-by-step explanation: