Find an inverse of a modulo m for each of these pairs of relatively prime integers using the extended Euclidean algorithm. (a) a - 2 m - 17 (b) a - 34, m - 89 (c) Solve this congruence using the modular inverse found in parts (b). 34 = 77 (mod 89)
Answers
the given pairs of relatively prime integers using the extended Euclidean algorithm the solution to the congruence is x = 23.
(a) a = 2, m = 17:
Using the extended Euclidean algorithm, we find that gcd(2, 17) = 1, and the modular inverse of 2 (mod 17) is 9. This is because \(2 * 9 ≡ 1 (mod 17)\)
(b) a = 34, m = 89:
Similarly, for this pair, we find that gcd(34, 89) = 1, and the modular inverse of 34 (mod 89) is 53. This is because
\(34 * 53 ≡ 1 (mod 89).\)
(c) Solve the congruence 34x ≡ 77 (mod 89) using the modular inverse found in part (b):
Since we have the modular inverse of 34 (mod 89) from part (b), which is 53, we can multiply both sides of the congruence by 53:
\(34x * 53 ≡ 77 * 53 (mod 89)\)
\(1x ≡ 4081 (mod 89)\)
Now, we can reduce the right side of the congruence:
\(x ≡ 23 (mod 89)\)
So, the solution to the congruence is x = 23.
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Related Questions
f(n) = (1/2)n5 - 100n3 + 3n - 1. prove that f = θ(n5)
Answers
We have proven that\(f(n) = (1/2)n^5 - 100n^3 + 3n - 1 is θ(n^5).\)
To prove that\(f(n) = (1/2)n^5 - 100n^3 + 3n - 1\)is θ(n^5), we need to show that there exist constants c1, c2, and n0 such that:
\(c1 * n^5 ≤ f(n) ≤ c2 * n^5 for all n ≥ n0.\)Let's analyze the given function:
\(f(n) = (1/2)n^5 - 100n^3 + 3n - 1\)
We can see that the highest order term is (1/2)n^5. As n grows large, the other terms (100n^3, 3n, and 1) become insignificant compared to the n^5 term. Therefore, we can choose the constants c1 and c2 such that they satisfy the inequality:
c1 = 1/2 and c2 = 1.
Now, let's consider n ≥ n0 = 1:\(f(n) = (1/2)n^5 - 100n^3 + 3n - 1 is θ(n^5).\)
\(c1 * n^5 = (1/2)n^5c2 * n^5 = n^5\)
As n grows large, we can see that:
\((1/2)n^5 ≤ (1/2)n^5 - 100n^3 + 3n - 1 ≤ n^5\)
Thus, we have proven that\(f(n) = (1/2)n^5 - 100n^3 + 3n - 1 is θ(n^5).\)
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In order to determine an interval for the mean of a population with unknown standard deviation a sample of 58 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is a. 35.b. 57.c. 36.d. 58.
Answers
If in order to determine an interval for the mean of a population with unknown standard deviation a sample of 58 items is selected. The number of degrees of freedom for reading the t value is .b. 57.
How to find the number of degrees of freedom?Using this formula to find the number of degrees of freedom
Number of degrees of freedom= Number of observations- 1
Where:
Number of observations =58
Let plug in the formula
Number of degrees of freedom= 58 -1
Number of degrees of freedom= 57
Therefore the correct option is b.
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there is one more answer it is d I will write it belowx. 2, 5, 8, 11.y -1, 0, 2, 5.
Answers
the table that represents a linear relatiponship is option C
Explanation:For the table to show linear relationship, the slope at any given two points should be equal.
slope = change iiny/change in x
\(m\text{ = }\frac{y_2-y_1}{x_2-x_1}\)Using the first two points for the x and y values in the table:
a) slope = (5-2)/(2-1) = (8-5)/(4-2)
slope = 3/1 = 3/2
slope = 3 = 3/2
The slopes are not equal for the points used
b) slope = (5-2)/(1-(-4)) = (8-5)/(2-1)
slope = 3/(1+4) = 3/1
slope = 3/5 = 3/1
The slopes are not equal for the points used
c) slope = (5-2)/(-2-(-4)) = (8-5)/(0-(-2))
slope = 3/(-2+4) = 3/(0+2)
slope = 3/2 = 3/2
The slopes are equal for the points used
d) slope = (5-2)/(0-(-1)) = (8-5)/(2-0)
slope = 3/(0+1) = 3/2
slope = 3/1 = 3/2
The slopes are not equal for the points used
Hence, the table that represents a linear relatiponship is option C
If we are told ab=0, then what can we infer? by the zero product property we know = 0 = 0
Answers
If we are told that ab=0, then we can infer that either a or b (or both) must be equal to 0.
This is because when the product of two numbers is 0, at least one of the numbers must be 0 according to the zero product property.
One of the most crucial concepts for pupils to understand in maths and science is the zero product property.
The greatest educators, mathematicians, and recognized scientists in the fields of physics and chemistry have worked with Vedantu to provide their insights on the subject.
Their suggestions helped us develop materials for your understanding that would make it simple for you to put these ideas into practice.
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If the sum of two number is 137 and their difference is 43 this situation can be algebrically represented as
Answers
Answer:
x+ y = 137
x -y = 43
x=90 and y = 47
Step-by-step explanation:
If the sum of two numbers is 137 and their difference is 43 .
Let x be the first number and y be the second number.
x+ y = 137
x -y = 43
Adding the two equations together,
x+ y = 137
x -y = 43
-----------------------
2x = 180
2x/2 = 180/2
x = 90
Solving for y.
x+y = 137
90+y = 179
y = 137-90
x = 47
It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answers
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
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An Assembly Line Has 10 Stations With Times Of 1, 2, 3, 4, …, 10, Respectively. What Is The Bottleneck Time? Please Show All Work!!!!
An assembly line has 10 stations with times of 1, 2, 3, 4, …, 10, respectively. What is the bottleneck time?
Please show all work!!!!
Answers
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
What is the bottleneck?In economics terms, the bottleneck is a chain of supply of resources that wants the most extended time in the supply chain operation for specific demand. It also evaluated to estimate the supply chain throughput.
Through put time = Sum of all times=1+2+3+4+5+6+7+8+9+10=55
Given,
Assembly line has 10 stations
Throughput time is 55
The formula for bottleneck time is:
Bottle neck time = Total stations/Throughput time ×100
= 10/55 ×100
= 18.18%
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
An assembly line has 10 stations with times of 1, 2, 3, 4,...,10, respectively. What is the bottleneck time?
a. 18.18% of the throughput time
b. 100% of the throughput time
c. 550% of the throughput time
d. 50% of the throughput time
e. 1.82% of the throughput time
Topic: Determining if given values are solutions to a two variable equation
Answers
Answer:
2. a & c
3. a, b & c
Step-by-step explanation:
Substitute each solutions to the question to see if you get the answer
a. 5(2)-0=10 -- so (2,0) is the solution
b. 5(3)-0=15 -- (3,0) is not the solution
c. 5(0)-(-10)=10 -- (0,-10) is the solution
d. 5(1)-(1)=4 -- (1,1) is not the solution
a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution
b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution
c. -(2)+ 6(2) = 10 -- so (2,2) is the solution
d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution
please no links!!
and please help me
Answers
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
1. 18 markers per packet.2. 6 minutes per video (actual is 6 minutes 5 seconds) 3. 16 plants per row.4. 12 muffins per batchHope it helps!
Brainliest pls!
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Learning Task 3: Write at least three equivalent ratio of the given ratio. Write your answer in your notebook. 6.) 8/10 = 7.) 3/5 = 1.) 2/4 = . = 2.) 5/10 = 3.) 4/5 = = I 8.) 2/8 = 9.) 3/7 = 10.) 6/8 4.) 3/9 = 5.) 2/5 = - cond and colon form. Do this in
Answers
Answer:
Equivalent Ratio
A ratio shows the comparison of quantities. It describes a part-to-part or a part-to-whole comparison. It can be written in three ways: fraction form, colon form and word form. Ratios that have the same values are called equivalent ratio. You can find the equivalent ratio by multiplying or dividing both quantities by the same number.
Solution:
Let us now find the equivalent ratios of the given ratios above by multiplying or dividing.
1) 2⁄4 = 1⁄2, 4⁄8, 6⁄12
2÷2 / 4÷2 = 1⁄2
2×2 / 4×2 = 4⁄8
2×3 / 4×3 = 6⁄12
2) 5⁄10 = 1⁄2, 20⁄40, 30⁄60
5÷5 / 10÷5 = 1⁄2
5×4 / 10×4 = 20⁄40
5×6 / 10×6 = 30⁄60
3) 4⁄5 = 8⁄10, 16⁄20, 28⁄35
4×2 / 5×2 = 8⁄10
4×4 / 5×4 = 16⁄20
4×7 / 5×7 = 28⁄35
4) 3⁄9 = 1⁄3, 9⁄27, 21⁄63
3÷3 / 9÷3 = 1⁄3
3×3 / 9×3 = 9⁄27
3×7 / 9×7 = 21⁄63
5) 2⁄5 = 4⁄10, 8⁄20, 14⁄35
2×2 / 5×2 = 4⁄10
2×4 / 5×4 = 8⁄20
2×7 / 5×7 = 14⁄35
6) 8⁄10 = 4⁄5, 24⁄30, 56⁄70
8÷2 / 10÷2 = 4⁄5
8×3 / 10×3 = 24⁄30
8×7 / 10×7 = 56⁄70
7) 3⁄15 = 1⁄5, 6⁄30, 12⁄60
3÷3 / 15÷3 = 1⁄5
3×2 / 15×2 = 6⁄30
3×4 / 15×4 = 12⁄60
8) 2⁄8 = 1⁄4, 6⁄24, 14⁄56
2÷2 / 8÷2 = 1⁄4
2×3 / 8×3 = 6⁄24
2×7 / 8×7 = 14⁄56
9) 3⁄7 = 6⁄14, 12⁄28, 18⁄42
3×2 / 7×2 = 6⁄14
3×4 / 7×4 = 12⁄28
3×6 / 7×6 = 18⁄42
10) 6⁄8 = 3⁄4, 24⁄32, 36⁄48
6÷2 / 8÷2 = 3⁄4
6×4 / 8×4 = 24⁄32
6×6 / 8×6 = 36⁄48
Step-by-step explanation:
Answer:Equivalent Ratio
It takes a word processor 33 minutes to word process and spell check 6 pages. Find how long it takes her to word process and spell check 26 pages.
Answers
Answer:
it would take them 143 minutes
Pleaseeeeeeeeeeeeee !!
Answers
Answer:
90
Step-by-step explanation:
all angels equal 180 so add the two you have then subtract 180 with the answer you got
Simplify the expression.
(7-2)^2
4+3^4-10
Answers
Answer:
171
Step-by-step explanation:
Decide whether each of the following series converges. If a given series converges, compute its sum. Otherwise, enter INF if it diverges to infinity. MINF if it diverges to minus infinity, and DIV otherwise: 1. ∑
n=1
[infinity]
(sin(2n)−sin(2(n+1))) 2. ∑
n=1
[infinity]
(sin(
n
2
)−sin(
n+1
2
)) 3. ∑
n=1
[infinity]
(e
1in
−e
11(n+1)
) Note: In order to get credit for this problem all answers must be correct.
Answers
The series \(\sum_{n=1}^\infty\) sin (2 n) - sin (2 (n + 1)) diverges to ∞.
The series \(\sum_{n=1}^\infty\) [sin (2/n) - sin (2/(n + 1))] converges to sin(2).
The series \(\sum_{n=1}^\infty\) [e¹¹ⁿ - e¹¹⁽ⁿ⁺¹⁾] diverges to - ∞.
Given that, the first series is
S = \(\sum_{n=1}^\infty\) sin (2 n) - sin (2 (n + 1))
Now calculating,
Sₖ = [sin 2 + sin 4 + sin 6 + ..... + sin 2k] - [sin 4 + sin 6 + ..... + sin 2k + sin (2k + 2)]
Sₖ = sin 2 - sin (2k + 2)
So now, limit value is,
\(\lim_{k \to \infty}\) Sₖ = \(\lim_{k \to \infty}\) [sin 2 - sin (2k + 2)] = ∞
Hence the series diverges.
Given that, the second series is
S = \(\sum_{n=1}^\infty\) [sin (2/n) - sin (2/(n + 1))]
Now calculating,
Sₖ = [sin 2 + sin 1 + sin (2/3) + .... + sin (2/k)] - [sin 1 + sin (2/3) + ..... + sin (2/k) + sin (2/(k + 1))]
Sₖ = sin 2 - sin (2/(k + 1))
So now, limit value is,
\(\lim_{k \to \infty}\) Sₖ = \(\lim_{k \to \infty}\) [sin 2 - sin (2/(k + 1))] = sin 2 - 0 = sin 2
Hence the series is convergent and converges to sin (2).
Given that, the third series is
S = \(\sum_{n=1}^\infty\) [e¹¹ⁿ - e¹¹⁽ⁿ⁺¹⁾]
Now calculating,
Sₖ = [e¹¹ + e²² + e³³ + ..... + e¹¹ᵏ] - [e²² + e³³ + ....+ e¹¹ᵏ + e¹¹⁽ᵏ⁺¹⁾]
Sₖ = e¹¹ - e¹¹⁽ᵏ⁺¹⁾
So now, limit value is,
\(\lim_{k \to \infty}\) Sₖ = \(\lim_{k \to \infty}\) [e¹¹ - e¹¹⁽ᵏ⁺¹⁾] = - ∞.
Hence the series diverges.
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The question is not clear. The clear and complete question will be -
Firm B is willing to be acquired by firm A at a price of $34 a share in either cash or stock. The incremental value of the proposed acquisition is estimated at $80,000. Firm A Firm B Number of shares 40000 12000 Price per share $18.00 $31.00 Debt $0 $0 How many shares of outstanding stock will firm AB have if the merger is a cash deal? A) 43,600 B) 52,000 C) 36,400 D) 40,000 E) 46,000
Answers
Firm AB will have 916,471 outstanding shares if the merger is a cash deal. Therefore, option B (52,000) is the correct answer.
Total acquisition cost = (Number of shares of firm B) × (Price per share of Firm B) × (Incremental value)
Total acquisition cost = 12,000 × $31 × $80,000
Total acquisition cost = $29,760,000
If the acquisition is a cash deal, Firm A will pay $34 per share of firm B.
Therefore, the total number of shares that Firm A will get can be calculated as follows:
Number of shares of Firm B that will be sold = Total acquisition cost / Price per share
Number of shares of Firm B that will be sold = $29,760,000 / $34
Number of shares of Firm B that will be sold = 876,471 rounded to the nearest whole number.
However, the number of shares of outstanding stock of Firm AB can be calculated as follows:
Number of shares of Firm A outstanding = 40,000
Number of shares of Firm B outstanding = 12,000
Total number of shares outstanding = Number of shares of Firm A outstanding + Number of shares of Firm B outstanding
If the acquisition is a cash deal, Firm A will get 876,471 shares of Firm B.
Therefore, the total number of shares that Firm AB will have can be calculated as follows:
Total number of shares outstanding = Number of shares of Firm A outstanding + Number of shares of Firm B that will be sold
And total number of shares outstanding is 40,000 + 876,471
Hence, total number of shares outstanding = 916,471 (rounded to the nearest whole number)
Thus, Firm AB will have 916,471 outstanding shares if merger is cash deal.
Therefore, option B (52,000) is the correct answer.
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Add.
(4x2 – 2x) + (5x - 7)
O A. 9x2 - 9x
B. 4x2 + 3x-7
C. 20x3 - 38x2 + 14x
O D. 4x2 - 7x+7
SUBMIT
Answers
Answer:
4x^2 +3x -7
Step-by-step explanation:
(4x^2 – 2x) + (5x - 7)
Combine like terms
4x^2 -2x+5x -7
4x^2 +3x -7
( 4x² - 2x ) + ( 5x - 7 )
Now , adding like terms.
4x² - 2x + 5x - 7
4x² + 3x -7
Option ( B ) is the correct answer.
What is the general formula of a quadratic equation
Answers
Answer:
ax2 + bx + c
Step-by-step explanation:
Draw and label a picture if necessary.
Define all of the variables.
Determine if there is a special formula needed. Substitute the given information into the equation.
Write the equation in standard form.
Factor.
Set each factor equal to 0. ...
Check your answers.
Answer:
The Quadratic Formula: For ax2 + bx + c = 0, the values of x which are the solutions of the equation are given by:
x = −b + √(b2 − 4ac)2a
find distance between (0,6) and (8,0)
with process.......
Answers
Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)
=\(\sqrt{(8 - 0)^2 + (0 - 6)^2}\)
=\(\sqrt{8^2 + (-6)^2}\)
=\(\sqrt{64 + 36}\)
=\(\sqrt{100}\)
=10 units
If the cost of 7m is Rs. 1470, find the cost of 5m cloth
Answers
By using unitary method, we found that the cost of 5m cloth is Rs. 1050.
According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,
Cost of 1m cloth = Total cost of 7m cloth/7
We know that the total cost of 7m cloth is Rs. 1470. Therefore,
Cost of 1m cloth = 1470/7
Cost of 1m cloth = Rs. 210
This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.
Cost of 5m cloth = Cost of 1m cloth x 5
Cost of 5m cloth = Rs. 210 x 5
Cost of 5m cloth = Rs. 1050
Therefore, the cost of 5m cloth is Rs. 1050.
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circumference of a circle show work please
Answers
The following are the solution to the circumference of a circle;
12.56 cm282.6m18.84 ft13.188 m62.8 ft11.932 cm1570 m31.4 cm44 ft88 in154 mm33 ft132 mm22 in660 mm4.7 inWhat is the circumference of a circle?Using 3.14
A. Circumference of a circle with diameter = πd
= 3.14 × 4 cm
= 12.56 cm
B. Circumference of a circle with diameter = πd
= 3.14 × 90m
= 282.6m
C. Circumference of a circle with radius = 2πr
= 2 × 3.14 × 3 ft
= 18.84 ft
D. Circumference of a circle with radius = 2πr
= 2 × 3.14 × 2.1 m
= 13.188 m
E. Circumference of a circle with diameter = πd
= 3.14 × 20 ft
= 62.8 ft
F. Circumference of a circle with diameter = πd
= 3.14 × 3.8 cm
= 11.932 cm
G. Circumference of a circle with radius = 2πr
= 2 × 3.14 × 250 m
= 1570 m
H. Circumference of a circle with radius = 2πr
= 2 × 3.14 × 5 cm
= 31.4 cm
Using 22/7.
I. Circumference of a circle with diameter = πd
= 22/7 × 14 ft
= 44 ft
J Circumference of a circle with diameter = πd
= 22/7 × 28 in
= 88 in
K. Circumference of a circle with diameter = πd
= 22/7 × 49 mm
= 154 mm
L. Circumference of a circle with diameter = πd
= 22/7 × 10½ ft
= 33 ft
M. Circumference of a circle with radius = 2πr
= 2 × 22/7 × 21 mm
= 132 mm
N. Circumference of a circle with radius = 2πr
= 2 × 22/7 × 3½ in
= 22 in
O. Circumference of a circle with radius = 2πr
= 2 × 22/7 × 105 mm
= 660 mm
P. Circumference of a circle with radius = 2πr
= 2 × 22/7 × 3/4 in
= 4.7 in
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please help
and if you cant see its going from 1-9
Answers
Answer:
F
Step-by-step explanation:
for example point A is (3:6)
if we multiply the coordinates by 2/3 we have:
A1 (2; 4) that are the coordinate of the new point
WILL GIVE BRAINLIEST!!
Answers
Answer:
it is B
Step-by-step explanation:
exponent 9 times 9 = 81
since the exponent is 2 multiply 9 x 9 and you get 81
Find the value of x in the triangle shown below help please!!
Answers
Step-by-step explanation:
Hey there!!
It 's so simple.
You remember common property of triangle. (i.e sum of interior angle of a triangle is 180°)
So,
77° + 31° + x = 180°
x + 108° = 180°
x = 180° - 108°
Therefore the measure of angle x is 72°.
Hope it helps....
Algebra, help please ASAP
Answers
(-3x +4)(2x -1) Aka question A
PLZ HELP its only one problem and the instructions are on the screenshot
Answers
Answer:
Equal to!
Step-by-step explanation:
2 x 1.08 is 2.16
(1.08/100) x 200 = 2.16
2.16 = 2.16
how do i solve this problem
Answers
The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.
To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.
(3x³ - x² + 4) + (2x³ - 3x + 9)
Combine the like terms:
(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)
Simplify further:
5x³ - x² - 3x + 13
In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.
Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.
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pls help asap thankyou
Answers
Answer:
The slope of the line would be a. 0.
Answer:
im bad at math but i would guess the asnswer is 0. :)
Step-by-step explanation:
read the picture plssssss
Answers
The possible algebraic equations, obtained based on the algebraic expressions in the question are;
1. \(\frac{x}{8} = y\)
2. 15 - n = m
3. 25 + x = y
What is an algebraic expression?An algebraic expression is a collection of numbers and variables that are combined together, but without indicating the value indicated by the collection.
What is an algebraic equation?
An algebraic equation is a mathematical statement that expresses the equivalence of two expressions.
The algebraic expressions can be presented as follows;
1. Some number divided by 8
Let x represent the number divided by 8, and let y represent the result when x is divided by 8. The variables x and y can be defined based on the details in the question
The equation with x as the number and y as the result can be presented as follows;
\(\frac{x}{8} =y\)2. n less than 15
The expression n less than 15 is; 15 - n
Let m represent the value of the expression; 15 - n, an algebraic equation based on the details is therefore;
15 - n = m3. 25 more than a number
Let x represent the number, we get
25 more than a number = 25 + x
The y represent the result or value of the expression 25 + x, we get the following algebraic equation;
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Five boxes of crackers cost 9 at this rate how much do 20 boxes cost
Answers
Answer:
36
Step-by-step explanation:
Unit price: 9 / 5 = 1.8
20 box price: 1.8 * 20 = 36
Pls Help 100 pts
Find
XY given A bisects XY,
XY = 5a – 3, and AY = 2a + 6.
Answers
Answer:
Hii! so are you asking for the answer to a graph? do you want the point?
If you do then I think it is (7a, -3) I might be wrong let me know if I am and I'll fix it.
Step-by-step explanation: