Step-by-step explanation:
2x-4 > 8 or 3x-1 < -10
Grouping the like terms
2x > 8 +4 or 3x < -10 +1
2x > 12 or 3x < -9
2x > 12 3x < -9
2 2 3 3
x > 6 or x < -3
If Harry travels 10 and 4/10 of a mile in 5 hours on his broomstick. How far will he travel in 1 hour?
Group of answer choices
5 and ½ miles per hour
2 and 2/25 miles per hour
52 miles per hour
2 and ½ miles per hour
Answer:
2 and 2/25 miles per hour.
Step-by-step explanation:
Harry's speed = distance / time
= 10 4/10 / 5
= 104/10 * 1/5
= 104/50
= 2 4/50
= 2 2/25
helpppp pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The entries that complete the blanks are 20.39, 20.78, 21.17 and 20 + 0.39n
How to determine the total amounts?The given parameters are
Invitation = $20
Stamps = $0.39 per stamp
So, the total amount spent is calculated as
Total = Invitation + Stamps * Number stamps
This gives
Total = 20 + 0.39 * Number stamps
For stamps 1, 2, 3 and n, we have
Total = 20 + 0.39 * 1 = 20.39
Total = 20 + 0.39 * 2 = 20.78
Total = 20 + 0.39 * 3 = 21.17
Total = 20 + 0.39 n
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2. The translation (x, y) → (x + 3, y-7) maps TUVW onto T'U'V'W'. What translation maps
TU'V'W' onto TUVW?
O(x,y) → (x+3, y-7)
O(x,y) → (x-7, y + 3)
O(x,y) → (x+7,y-3)
O(x,y) → (x-3, y+7)
The mapping of T'U'V'W' onto TUVW is translated as follows:
(x, y) → (x - 3, y + 3)The translation:The backward translation of the mapping T'U'V'W' onto TUVW is the mapping TUVW onto TUVW.
The coordinates of the -axis move by units in the right direction during the translation (x, y) → (x - 3, y + 3), while the coordinates of the y-axis move by 3 units downward.Therefore, we must return to our original position for the mapping of T'U'V'W' onto TUVW.Reversing the mapping involves the steps listed below.
As was previously mentioned, moving all x-coordinates by 3 units in the right direction is the opposite of moving them in the opposite direction. As a result, x-3 would be the translation for the x-axis.Earlier, all y-coordinates were moved by 3 units downward; the inverse of this is an upward 3 unit move for all y-coordinates. As a result, y+3 would be the translation for the x-axis.Therefore, the mapping of T'U'V'W' onto TUVW is translated as follows:
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The complete question is given below:
The translation (x,y)(x+3,y-3) maps TUVW onto T'U'V'W. What translation maps T'U'V'W onto TUVW?
(x,y)(x+3,y-7)
(x,y)(x-7,y+3)
(x,y)(x+7,y-3)
(x,y)(x-3,y+7)
Question 16 of 35
Henri earned $1030 a week last year. What was his yearly salary?
OA. $54,600
OB. $53,560
OC. $52,800
OD. $49,440
SUBMIT
1. What is the y intercept that connects all of the data points?
2. What does the y intercept represent in the context of this problem?
3. If your friend says he can get a dozen DVD's from this website for $90, is he correct?
4. How much would it cost to buy 50 DVD's from this website?
Giving Brainliest to whoever gives the correct answer
1. The y-intercept is: 12.
2. The y-intercept represent the initial cost that excluding the cost per DVD.
3. Your friend is incorrect. A dozen DVD's is gotten for $84.
4. 50 DVD's from the website would cost: $312.
How to Interpret the Y-intercept of a Line?The y-intercept is the value of the y-coordinate of the point where the line intercepts the y-axis.
The y-intercept is referred to as the starting value or initial value. At this point, x = 0.
1. First, find the slope (m) of the line using two points, (1, 18) and (2, 24):
Slope (m) = change in y/change in x = (24 - 18)/(2 - 1) = 6/1
Slope (m) = 6
Substitute m = 6 and (x, y) = (1, 18) into y = mx + b to find the y-intercept, b:
18 = 6(1) + b
18 - 6 = b
b = 12 (y-intercept)
Substitute m = 6 and b = 12 into y = mx + b:
y = 6x + 12
The y-intercept that connects all the data points is: 12.
2. The y-intercept in this context represents the initial cost that excludes the charge for each DVD.
3. Substitute x = 12 into y = 6x + 12 and solve to see if y equals 90:
y = 6(12) + 12
y = 84 [not equal to $90)]
Thus, your friend is incorrect. a dozen DVD's can be gotten for $84.
4. Substitute x = 50 into y = 6x + 12:
y = 6(50) + 12
y = 312
It would cost $312 to get 50 DVD's from the website.
The graph for the points (1, 18), (2, 24) , and (3, 33) is shown below.
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Find an equation in point-slope form for the line having the slope m=5 and containing the point (7,1).
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})[/tex]
Describe the difference between perfect square roots and non-perfect squares. Write at least two complete sentences.
Answer:
In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not.
Step-by-step explanation:
The first term of an arithmetic sequence is 10 and the common difference is 5. Find the value of the 30th term
Answer:
Step-by-step explanation:
First term of the sequence is 10 and common difference is 3.
a
1
= 10 and d = 3
Next term = a
2
=a
1
+d=10+3=13
a
3
=a
2
+d=13+3=16
Thus, first three terms of the sequence are 10, 13 and 16.
Let 100 be the nth term of the sequence.
a
n
=a
1
+(n−1)d
100=10+(n−1)3
90=(n−1)3
n−1=30
n=31, which is a whole number.
Therefore, 100 is the 31
st
term of the sequence.
Please help and explain the picture is down below.
It should be noted that in order to measure the value, the measurement has to be in the same unit.
How to illustrate the information?The fundamental idea in the study of science and mathematics is measurement. The qualities of an object or event can be quantified so that we can compare them to those of other objects or occurrences. When discussing the division of a quantity, measurement is the word that is used the most frequently.
Measurement is crucial in establishing connections across different branches of mathematics. For instance, it gives the use of math abilities and spatial concepts a rich and meaningful context. Measurement also establishes connections between mathematics and other academic disciplines.
From the information, it was illustrated that the boys all had measurements of trees taken. Therefore, it should be noted that since they are in different units, it cannot be done.
In this case, the reason is that in order to measure the value, the measurement has to be in the same unit. This will make it easier to do the calculation.
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Which length of time is between 1.45 pm and 3.10 pm ?
Answer:
Step-by-step explanation: its 1.45-3.10 and then its =1.35
ez
have a good day
The loudness in decibels dB of a sound is defined as 10 log I/I₀ , where I is the intensity of the sound in watts per square meter (W / m²) . I₀ , the intensity of a barely audible sound, is equal to 10⁻¹²W/m². Town regulations require the loudness of construction work not to exceed 100 dB . Suppose a construction team is blasting rock for a roadway. One explosion has an intensity of 1.65x10²W/m² . Is this explosion in violation of town regulations?
a. Which physical value do you need to calculate to answer the question?
a) The explosion does violate the town regulation
b) The two physical quantities are the I(intensity of the sound) and
[tex]I_{o}[/tex] (detectable intensity)
The values that we have been given are
L = loudness of the sound = 10 log(I/[tex]I_{o}[/tex])
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
Putting the required value in the equation of the loudness we get
a) L = [tex]10 log(\frac{1.65*10^{2} }{10^{-12} } )\\[/tex]
L = 10 * 14.217 dB = 142.17 dB
And according to the town regulation the loudness of the construction work should not exceed 100dB.
Thus the explosion is in violation of the town regulation as it exceeds 100dB.
b) the two physical value we have to calculate are I which is intensity of the sound in watts per square meter and [tex]I_{o}[/tex] which is intensity of barely audible sound. The respective values are
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
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In 1995, an earthquake in Mexico registered 8.0 on the Richter scale. In 2001 , an earthquake of magnitude 6.8 shook Washington state. How many times more intense was the 1995 earthquake than the 2001 earthquake?
The earthquake in 1995 was 1.2 times than the 2001 earthquake .
In 1935, American geologist Charles Richter (1900-1984) predicted the magnitude M of an earthquake is given by [tex]M=log(\frac{I}{S} )[/tex] where 'I' is the intensity of the earthquake (measured by the amplitude of the seismometer 100 km from the epicenter), 'S' is the "standard" seismic intensity whose (amplitude is 1 micron = 10 -4 cm). Standard earthquake magnitude is 0.
It is given that in 1995, an earthquake in Mexico registered 8.0 on the Richter scale and earthquake of magnitude 6.8 in Washington state.
If [tex]I_1[/tex]and [tex]I_2[/tex] are the intensities of the Mexico and Washington earthquakes, then we are required to find [tex]\frac{I_1}{I_2}[/tex]. To relate this to the definition of magnitude, we divide numerator and denominator by S
[tex]log(\frac{I_1}{I_2})=log\frac{\frac{I_1}{S} }{\frac{I_2}{S} }[/tex]
Using property of logarithm [tex]log\frac{a}{b} =loga-logb[/tex] , we get
[tex]log(\frac{I_1}{I_2})=log{\frac{I_1}{S} -log{\frac{I_2}{S} \\\\\\[/tex]
[tex]log(\frac{I_1}{I_2})=8.0-6.8\\\\log(\frac{I_1}{I_2})=1.2[/tex]
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To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
What is volume of cylinder?
Volume of cylinder is calculated as;
v = π r² h
Since, Container A has a diameter of 18 feet and a height of 9 feet.
Then, Radius = 18/2 = 9 ft
Hence, Volume of Container A = π r² h
= 3.1416 * 9 * 9 * 9
= 2,290.22 ft³
Since, Container B has a diameter of 16 feet and a height of 11 feet.
Then, Radius = 16/2 = 8 ft
Hence, Volume of Container B = π r² h
= 3.1416 * 8 * 8 * 11
= 2,211.68 ft³
After pumping all of container A into container B there will remain empty space in B = 2,290.22 - 2,211.68 = 78.5 ft³
And, The percentage for this empty space is of the entire volume is,
78.5/2,290.22 = 0.03427 *100 = 3.4 %
So, After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
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A spherical water tank holds 9000 ft³ of water. What is the diameter of the tank? (Hint: (¹/₆ d³ π=V)
The diameter of the tank is 25.8 feet.
We are given the volume of water tank. Also, we are provided the formula relating volume and density.
Rewriting the formula -
V = 1/6×π×d³, where d represents the diameter. Taking the value of π as 3.14
Rewriting the formula according to diameter -
d³ = 6V/π
Keep the values in formula to find the value of diameter of water tank
d³ = 6×9000/3.14
Performing multiplication and division to find the value of diameter
d³ = 54000/3.14
Performing division to find the value of diameter of water tank
d³ = 17197.45
d = ∛17197.45
Taking square root to find the value of diameter of water tank
d = 25.8 feet
Hence, the diameter of tank is 25.8 feet.
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A college bookstore marks up the price that it pays the publisher for a book by 35%. If the selling price of a book is $60.00, how much did the bookstore pay for this book?
The college bookstore paid $44.4 for the book
How to calculate the price paid for the book ?A college store marks up the price it pays the publisher for a book by 35%
The selling price of the book is $60.00
Therefore the amount paid by the bookstore can be calculated as follows
( 35/100 + 1) x = 60
0.35+1x= 60
1.35x= 60
Divide both sides by the coefficient of x which is 1.35
x= 60/1.35
x= 44.4
Hence the book store will pay $44.4 for the book
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What are the best anime jobs that use geometry? i need at least 5
Cinematic layout lead, Technical Assistant, Game Artist, 2D Artist, and Game Producer are the best anime jobs that use geometry.
There are many opportunities for animators to get anime jobs that use geometry as well. In order to demonstrate how an object is rotated or shifted to be made larger or smaller—for the process of producing movement—animators must comprehend the geometrical characteristics of figures and apply linear algebra.
Due to their work with moving and changing objects, animators frequently use a number of mathematical techniques, including geometry, linear algebra, and others. The ability to utilize linear algebra to demonstrate how a certain figure or object is shifted or rotated with the intention of making it smaller or larger is crucial for animators. Movement is produced by this mechanism.
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.
Answer: hello frawn
Step-by-step explanation:
free point dootie head
Part 4:
7. What is the point slope equation of line that passes throug
point (2,-3) and has the same y intercept as y = 5x + 2?
to get the equation of any straight line, we simply need two points off of it, hmmm let's take a peek at the y-intercept of the line above
[tex]y = 5x \stackrel{\stackrel{b}{\downarrow }}{+2} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies \stackrel{y-intercept}{(0~~,~~2)}[/tex]
so we're really looking for the equation of a line that passes through (2 , -3) and (0 , 2)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{2}}} \implies \cfrac{2 +3}{-2} \implies -\cfrac{ 5 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{ 5 }{ 2 }}(x-\stackrel{x_1}{2}) \implies y +3= -\cfrac{ 5 }{ 2 } (x -2)[/tex]
WARM UP: Graph the coordinates of the triangle in the coordinate plane. Multiply each coordinate by a scale factor of 3 (k=3). Then, graph the new triangle.
The two triangles are similar triangles and the graph of the triangles are attached
Graph the coordinates of the triangle in the coordinate plane.The coordinates of the triangle are given as
A (0, 3), B (3, 3) and C (3, -1)
So, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
Multiply each coordinate by a scale factor of 3 (k=3).
Here, we have
A' 3 * (0, 3), B' 3 * (3, 3) and C' 3 * (3, -1)
This gives
A' (0, 9), B' (9, 9) and C' (9, -3)
Next, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
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I NEED HELP YALL- ASAPPPP!
The function f(t) represents water going into a swimming pool with respect to the number of hours(t) water is flowing in where(t) represents time. f(t)=t squared +8t+9 There is a leak in the pool and it’s losing water at a rate represented by d(t). d(t)=t squared +11t+4
a.Write a function w(t) to represent the amount of water in the pool using the two functions.
b. Use the new function to determine if the pool will leak all of the water
c. If the pool will drain of all water, how much time will it take?
d.Will f(t) and d(t) intersect on a graph? Explain what it means if they do.
e. What is the domain of f(t), d(t), and w(t)? Explain your answer.
Step-by-step explanation:
so, if I understand you correctly and nothing was left out :
f(t) = t² + 8t + 9
d(t) = t² + 11t + 4
just by looking at the 2 functions, it is clear that d(t) creates larger functional values for higher values of t.
because t² = t², but 11t > 8t. and the constants in the end are irrelevant for larger numbers.
so the pool will drain.
a.
w(t) = f(t) - d(t) = t² + 8t + 9 - t² - 11t - 4 = -3t + 5
b.
yes, it will completely drain, as -3t will drive it to 0, and if it was physically possible into the negative ask the way to -infinity.
c.
-3t + 5 = 0
5 = 3t
t = 5/3
it will be completely drained after
1 2/3 hours = 1 hour 40 minutes.
d.
to intersect they need to create the same result for a value of t :
t² + 8t + 9 = t² + 11t + 4
8t + 9 = 11t + 4
-3t + 5 = 0
t = 5/3 or 1 hour 40 minutes.
that means that the filling and the draining are only equal, when there is no water in the pool.
that also means that f(t) is actually calculating how much water there is in the pool, if there would not be no drain, with a starting value of 9.
e.
the domain is the interval or set of all valid input values (here for t).
negative t (hours) don't make any sense for any of the 3 functions.
but f(t) can go on theoretically forever. but usually it's limited by the size of the pool (once it reaches the top, there is no more filling). we just don't know anything about that.
so, the domain for f(t) is
0 <= t < +infinity
d(t) could go on and on as well, as long as there is water in the pool.
so, the domain for d(t) is also
0 <= t < +infinity
but w(t) based on its meaning and definition makes only sense between the start (t = 0) and until the water is fully drained by the combination of f(t) and d(t).
so, the domain of w(t) is
0 <= t <= 5/3
we could define w(t) as segmented function
w(t) = -3t + 5 0 <= t <= 5/3
= 0 t > 5/3
THEN the domain would be again
0 <= t < +infinity
how to do this question ¨a motorcycle travels 340 miles on 4 gallons of gas¨ and use rates and unit rates.
For one gallon of gas, it travels 85 miles.
Given a motorcycle travels 340 miles on 4 gallons of gas
We have to find the unit rate that means for one gallon of gas how much this travel.
This is known as the Unitary method.
Unitary method:
The unitary method is the method in which we need to solve the problem by first finding the value of a single unit, then we can multiply that single unit value by the necessary amount that we need.
So, given 340 miles on 4 gallons of gas per gallon, it should be
= 340/4
= 85 miles
Therefore, It travels 85 miles on one gallon of gas.
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Simplify 5√12xm³
Assume x and m are nonnegative.
O 60√xm³
O 60m³√x
O 10m³√3x
O 10m√3xm
Answer:
[tex]\sf 10m\sqrt{3xm}[/tex]
Step-by-step explanation:
To simplify the expression, factorize 12. For every two items inside the square root, take one outside.
[tex]\sf 5\sqrt{12xm^3} = 5\sqrt{2*2*3*x*m*m*m}[/tex]
[tex]\sf = 5*2*m\sqrt{3xm}\\\\=10m\sqrt{3xm}[/tex]
Are the ratios 4:10 and 3:4 equivalent?
Answer: No
Step-by-step explanation:
HELPPPP ME NOWWWW PLEASEE
Multi-step k is the midpoint of _ jl , jl = 4x - 2, and jk = 7. find x, kl, and jl.
Answer:
K is the midpoint of JL, so it is halfway between J and L (see diagram). If JK is 7 units long, then so is KL. The length of the entire segment JL is 4x - 2, so
4x -2=14
Step-by-step explanation:
Is
f(x)
f(n)
f(a number)
Does all of them mean y?
Given the matrices A =
2
2
3
4
B=
0
4
2
-3
C=
4
6
5
6
the matrix X in the equation (x-4b)a=c
Answer:
Hello,
Step-by-step explanation:
[tex]A=\begin{bmatrix}2 & 2 \\3 & 4 \end{bmatrix}\\\\\\B=\begin{bmatrix}0 & 4 \\2 & -3 \end{bmatrix}\\\\\\C=\begin{bmatrix}4 & 6 \\5 & 6 \end{bmatrix}\\\\\\(X-4B)*A=C\\\\X-4B=C*A^{-1}\\\\X=C*A^{-1}+4B\\[/tex]
[tex]\begin{array}{|cc|cc|}A&&A^{-1}&\\---&---&---&---\\2&2&1&0\\3&4&0&1\\---&---&---&---\\1&1&\frac{1}{2}&0\\0&1&\frac{-3}{2}&1\\---&---&---&---\\1&0&2&-1\\0&1&\frac{-3}{2}&1\\---&---&---&---\\\end {array}\\\\[/tex]
[tex]X=C*A^{-1}+4B=\begin{bmatrix}4 & 6 \\5 & 6 \end{bmatrix}*\begin{bmatrix}2&-1\\\frac{-3}{2}&1\end{bmatrix}+4*\begin{bmatrix}0 & 4 \\2 & -3 \end{bmatrix}[/tex]
[tex]X=\begin{bmatrix}-1 & 2 \\1 & 1 \end{bmatrix}+\begin{bmatrix}0 & 16 \\8 & -12 \end{bmatrix}\\\\\\X=\begin{bmatrix}-1 & 18 \\9 & -11 \end{bmatrix}\\[/tex]
Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is.
The probability that the sample contains 2 female voters is 0.31104
Binomial distribution uses two values; n and p. n represent the counts of sample that are being collected. On the other hand, p represents the chances of being successful on any trial. Using the two values, the probabilities are computed for binomial distribution.
Probability that a random voter is female is 0.40(p).
Sampled voters are 6(n).
Let X be the number of females in the sampled voters.
Then,
X∼ Bin (n, p)
∼Bin (6,0.4)
Probability that the sample contains exactly 2 female voters is,
P (X =2) = 6C2 (0.4)2 (1−0.4)6−2
=0.31104
Therefore, the probability that the sample contains exactly 2 female voters is 0.31104
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Sequences of congruence transformations:
Triangle T'U'V' is the image of triangle TUV under a rotation followed by a reflection across the y-axis.
The transformation rules for the given figure are as follows:
Rotation: (x,y) -> (-y, x).Reflection: (x,y) -> (-x,y).What is a transformation in a function?A transformation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).
Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.
From Triangle TUV to Triangle T'U'V', the complete rule is given by:
(x,y) -> (y, x).
The rule for a reflection over the y-axis is:
(x,y) -> (-x,y).
Hence the rotation rule was given by:
(x,y) -> (-y, x).
Hence the rules are:
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What is the solution to the equation+=+
x=
10
0x = //
0x = 1/5/2
0x = 1/
Ο r
Calculator
2
?
The value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.
We are given the equation:
x² - 2 x + 5 = 2
We need to solve the equation to find the value of x.
For this, we will first subtract 2 from both the sides:
x² - 2 x + 5 - 2 = 2 - 2
x² - 2 x + 3 = 0
Now, we will solve for the value of x:
D = b² - 4 ac
D = (- 2)² - 4 (3)(1)
D = 4 - 12
D = - 8
√D = 2 i √2
Now putting it in quadratic formula, we get that:
x = (- b ± √D) / 2 a
x = (2 ± 2 i √2) / 2 (1)
x = 1 ± i √2
Therefore, the value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.
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Your question is incomplete. Please refer the content below:
What is the solution to the equation for x:
x² - 2 x + 5 = 2
Solve the system of equations.
y = 3x
y=x-4
Step-by-step explanation:
y=3x
y=x-4
3x=x-4
2x=4
x=2
y=3*2
y=6
(2,6)
x=2
y=6