The middle term of the product is -x. The last terms of each binomial, which gives 5 * -6 = -30.
To find the middle term of the product when multiplying (x + 5) by (x - 6), we can use the FOIL method.
FOIL stands for:
First: Multiply the first terms of each binomial, which gives x * x = x^2.
Outer: Multiply the outer terms of each binomial, which gives x * -6 = -6x.
Inner: Multiply the inner terms of each binomial, which gives 5 * x = 5x.
Last: Multiply the last terms of each binomial, which gives 5 * -6 = -30.
Now, let's combine the terms: x^2 - 6x + 5x - 30.
The middle terms are -6x and 5x.
To find the middle term of the product, we can combine the like terms: -6x + 5x = -x.
Therefore, the middle term of the product is -x.
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in the inpatient setting, a cpt code would be assigned by the hospital for a procedure code.
In the inpatient setting, a CPT code (Current Procedural Terminology) would typically be assigned by the hospital for a procedure code to accurately bill for the services provided during the patient's stay.
This code is used to describe the specific medical service or procedure performed, such as a surgery or diagnostic test. It is important for hospitals to accurately assign CPT codes to ensure proper billing and reimbursement for the services provided. Additionally, the use of standardized CPT codes helps to facilitate communication and record-keeping across different healthcare providers and facilities.
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Heba ate \dfrac{1}{12} 12 1 start fraction, 1, divided by, 12, end fraction of a box of cereal. Now the box is \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction full. What fraction of a full box was there before Heba ate
9514 1404 393
Answer:
5/6
Step-by-step explanation:
If q is the quantity of cereal in the box before Heba ate some, the problem tells us ...
q - 1/12 = 3/4
q = 3/4 + 1/12 = 9/12 + 1/12 = 10/12
q = 5/6
There was 5/6 of a box before Heba ate.
Statiscal or non statistical????
I will mark brainlest
I will report who ever sends me a link
Please only accurate answers
Answer:
Statiscal
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. and this question can have more then one varitve of answers
Estimate 1188+405+848 by first rounding each number to the nearest hundred
Answer:
about 2300
Step-by-step explanation:
Convert 5 yards into meters. Round your answer to the nearest hundredth.
5 yards is equal to 4.57 meters when rounded to the nearest hundredth.
One yard is equal to 0.9144 meters.
To convert 5 yards into meters, we can simply multiply 5 by 0.9144.
5 yards × 0.9144 meters/yard = 4.572 meters
Therefore, 5 yards is equal to 4.572 meters.
To round the answer to the nearest hundredth, we can look at the third digit after the decimal point, which is 2.
Since 2 is less than 5, we can round down and keep the second digit after the decimal point as is. Thus, the final answer is 4.57 meters.
In summary, 5 yards is equal to 4.57 meters when rounded to the nearest hundredth.
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Find the indicated angle measure.
DA
m/BCD=
OA
19
OB. 34*
B
127⁰
71°
A
Answer: 34
Step-by-step explanation: If two inscribed angles of a circle intercept the same arc or congruent arcs, then the angles are congruent. So,. Therefore,. ANSWER: 34.
The integral test can be used to determine that which of the following statements about the infinite series ∑
n=1
[infinity]
n
2
e
n
1
is true? The series converges because ∫
1
[infinity]
x
2
e
z
1
dx=−1+e (B) The series converges because ∫
1
[infinity]
x
2
e
z
1
dx=e The series converges because ∫
1
[infinity]
x
2
e
x
1
dx=1−e The series diverges because ∫
1
[infinity]
x
2
e
x
1
dx is not finite.
The series diverges because ∫(from 1 to infinity) x^2 * e^(-x) dx is not finite.
The integral test states that if a series ∑(from n=1 to infinity) aₙ is a positive, decreasing function, and the integral ∫(from n=1 to infinity) a(x) dx converges, then the series ∑ aₙ also converges. Conversely, if the integral diverges, then the series also diverges.
Let's analyze the given series ∑(from n=1 to infinity) n^2 * e^(-n).
To apply the integral test, we consider the function f(x) = x^2 * e^(-x). This function is positive and decreasing for x ≥ 1 since the exponential term e^(-x) is always positive, and the square term x^2 decreases as x increases.
Now, we evaluate the integral of f(x) from 1 to infinity:
∫(from 1 to infinity) x^2 * e^(-x) dx
To determine whether the integral converges or diverges, we can integrate the function:
∫(from 1 to infinity) x^2 * e^(-x) dx = -x^2 * e^(-x) - 2x * e^(-x) - 2 * e^(-x) | (from 1 to infinity)
Evaluating the limits of the integral, we get:
[-infinity * e^(-infinity) - 2 * infinity * e^(-infinity) - 2 * e^(-infinity)] - (-1 * e^(-1) - 2 * e^(-1) - 2 * e^(-1))
The first term on the left side evaluates to 0 since e^(-infinity) approaches 0 as x approaches infinity. The second term on the right side evaluates to -1 - 2e^(-1).
Therefore, the integral ∫(from 1 to infinity) x^2 * e^(-x) dx does not converge, as the value is not finite.
According to the integral test, if the integral diverges, the series also diverges. Hence, the correct statement is:
The series diverges because ∫(from 1 to infinity) x^2 * e^(-x) dx is not finite.
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!!!!!!!!!!!!!!!!!!!!! HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
rectangular prism
Step-by-step explanation:
The sides fold up into a rectangular shaped box, or a prism. Hope this helps!
Complete the equation of the line through (−10,3) and (-8,-8)
Answer: y = (-11/2)x -52
Aka y=mx*b
Step-by-step explanation:
\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{3})\qquad(\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-8}-\stackrel{y1}{3}}}{\underset{run}{\underset{x_2}{-8}-\underset{x_1}{(-10)}}}\implies \cfrac{-11}{-8+10}\implies \cfrac{-11}{2}\)
\(\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{11}{2}}[x-\stackrel{x_1}{(-10)}]\\\\\\ y-3=-\cfrac{11}{2}(x+10)\implies y-3=-\cfrac{11}{2}x-55\implies y = -\cfrac{11}{2}x-52\)
PLEASE HELP ME ANSWER THE FIRST 2 I will mark BRAINLEST!!!!
Answer:
1 resdantial area 2 12 to 15
Step-by-step explanation:
Answer the question : (2a+√3a)^2+ (4a-5a)^2
Answer:3a4-2a2+5a-10)-(2a4+4a2+5a-2)
remove first set of parentheses:
apply "-" sign to second parentheses (distributive prop):
the - of a - becomes a + :
combine like terms:
Factor out the variables that are alike:
{(1)a^4 + (-6)a^2 + 0a + (-8)}}}
0a is just 0, makea the "a" term go away:
can try to factor as squares, but it doesn't work out:
8 = (-4) x (+2) product factors cannot add to make 6.
Step-by-step explanation:
solve 7y 4/y 2 = -4/3
Answer:
Step-by-step explanation:
(7y+4)/(y+2)=-4/3
\(\dfrac{7y+4}{y+2}=\dfrac{-4}{3}\\\\\)
Cross multiply,
(7y + 4) * 3 = -4*(y+ 2)
Use distributive property,
7y*3 + 4*3 = -4*y + 2*(-4)
21y + 12 = -4y - 8
Subtract 12 from both side
21y = -4y - 8 - 12
21y = -4y - 20
21y + 4y = -20
25y = -20
y = -20/25
\(y=\dfrac{-4}{5}\)
\(\\ \sf\longmapsto \dfrac{7y+4}{y+2}=\dfrac{-4}{3}\)
\(\\ \sf\longmapsto 3(7y+4)=-4(y+2)\)
\(\\ \sf\longmapsto 21y+12=-4y-8\)
\(\\ \sf\longmapsto 21y+4y=-8-12\)
\(\\ \sf\longmapsto 25y=-20\)
\(\\ \sf\longmapsto y=\dfrac{-20}{25}\)
\(\\ \sf\longmapsto y=\dfrac{-4}{5}\)
This is the same dilation that you use in question 3. What scale factor was used to create the dilated triangle MSV’? In your answer, keep the scale factor that was used in explain how you calculated.
From the information given, triangle M'S'V' was dilated to give triangle MSV. Since triangle MSV is an enlargement of triangle M'S.V, it means that the scale factor is greater than 1. To find the scale factor, we would find the ratio of the x and y coordiantes. We have
Scale factor = M/M' = - 3/- 2 = 3/2 = 1.5
Scale factor = 1.5
in evaluating the results of a compliance test that utilizes statistical sampling, what course of action could the auditor take if the computed upper deviation rate (sample deviation rate projected to the population and adjusted for sampling risk) exceeds the tolerable deviation rate?
If the computed upper deviation rate (sample deviation rate projected to the population and adjusted for sampling risk) exceeds the tolerable deviation rate during a compliance test that utilizes statistical sampling,
it means that the test results indicate, the population of items being tested is not in compliance with the standards or regulations.
There are several actions that the auditor could take in this situation, depending on the specific circumstances of the test and the nature of the non-compliance. These are:
Conduct additional testing: The auditor may decide to conduct additional testing to confirm the results of the initial test and to identify the specific items or areas that are out of compliance.Address the non-compliance: The organization or individual being tested should address the non-compliance by implementing corrective actions to bring the items into compliance with the standards or regulations.Notify the relevant authorities: Depending on the nature of the non-compliance, the debtor may be required to notify relevant authorities such as regulatory bodies or government agencies.Review and improve internal processes: The debtor should review and improve internal processes to ensure that they are in compliance with standards and regulations in the future.Investigate and report: The debtor should investigate the cause of the non-compliance and report the findings to the relevant authorities.Note that: the specific course of action will depend on the nature of the non-com pliance and the regulations or standards that apply. It is recommended that the debtor consults with legal or regulatory experts to ensure that they are taking the appropriate actions to address the non-compliance.
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Let u=In(x) and v=ln(y), for x>0 and y>0.. Write In (x³ Wy) in terms of u and v. Find the domain, the x-intercept and asymptotes. Then sketch the graph for f(x)=In(x-3).
To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
How can ln(x³y) be written in terms of u and v, where u = ln(x) and v = ln(y)?To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.
There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.
To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.
As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.
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10. Write an equation in Slope-Intercept Form of the line that is parallel to the graph of
each equation and passes through the given point.
y = 4x + 8
(4,2)
Original slope=
Parallel slope=
Equation=
Answer:
Original slope = 4
Parallel Slope = 4
Equation = y = 4x - 16
Step-by-step explanation:
y = 4x +8
* the slope is the same since it is parallel
2=4(4) + b
2=16 + b
-14=b
y = 4x - 16
Let x be a binomial random variable with p = 0.1 and n = 10. calculate the following probabilities
The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)
q = 1 - p = 1 - 0.10 = 0.90
Let x be a binomial random variable with p = 0.1 and n = 10.
The probabilities from the binomial probability mass function P(x ≤ 2) will be
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸
P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937
P(x ≤ 2) = 0.9298
Your question was incomplete but the complete question is given below.
Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.
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Each Saturday morning, Janie works 5 hours and earns $35.75. How much does Janie earn for each hour she works?
Multiply, add, or subtract?
How do I estimate this?
Answer/Step-by-step explanation:
If Janie works 5 Hours and earn $35.75..
And It asking for Janie earn for each hour she works..
Therefore, we have to divide to Find how much Janie earn for each hour.
$35.75/5=$7.15
Hence. Janie earn $7.15 each Hour she work.
[RevyBreeze]
Using data for the years 1985 to 1990, the function y = 5x + 22.9 can be used to estimate the first trend, while the function y = 3.3x + 33 can be used to estimate the second trend. For both functions, x if the number of years since 1985. If these trends continue, in what year are the two trends equal.
x =
What year would that be?
The linear regression model can be extended to forecast future values
The year at which the two trends will become equal is the year 1991
Reason:
Known parameters;
The given function that estimates the first trend is y = 5·x + 22.9
The given function that estimates the second trend is y = 3.3·x + 33
Where;
x = The number of years since 1985
Required:
The year when the two trends are equal
Solution:
The year when the two trends are equal is given by the point where the values of the functions are equal, which is found as follows;
Let, y₁ = 5·x + 22.9, and y₂ = 3.3·x + 33
When the two trends are equal, we have;
y₁ = y₂
Therefore;
5·x + 22.9 = 3.3·x + 33
Which gives;
5·x - 3.3·x = 33 - 22.9
1.7·x = 10.1
\(x = \dfrac{10.1}{1.7} = \dfrac{101}{17} \approx 5.94\)
Therefore, the number of years since the 1985, after which the two trends become equal is x ≈ 5.94 which is approximately six years
Therefore, the two trends will be equal in approximately (1985 + 6) = 1991
The two trends will be equal in approximately the year 1991
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Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
18° and 39°
23° and 67°
43° and 47°
65° and 25°
Answer:
B
Step-by-step explanation:
Remark
The angle opposite the hypotenuse is 90 degrees. The hypotenuse is 13 in this case and is labeled c.
The second longest line is opposite the second largest angle
Sin(A) = opposite / hypotenuse
Solution
Sin(A) = 12 / 13 = Opposite / hypotentenuse
opposite = 12 12 is the second longest linehypotenuse = 13Sin(A) = 0.9231 12/13 = 0.9231
A = sin-1(0.9231) Take the inverse sine of 0.9231
A = 67 rounded
Therefore then angle opposite the shortest side must be 90 - 67 = 23
Answer: 67 and 23
what shape is this lol
and how many lines of syymetry
Determine the truth value of the following conditional statement. If true, explain your reasoning. If false, give a counterexample.
Write the converse, inverse, and contrapositive of the following true conditional. Then, determine whether each related conditional is true or false. If a statement is false, find a counterexample.
If two angles are congruent, then they have the same degree measure.
The original conditional statement is true: "If two angles are congruent, then they have the same degree measure." The converse is true: "If two angles have the same degree measure, then they are congruent." The inverse is true: "If two angles are not congruent, then they do not have the same degree measure." The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."
The given conditional statement is: "If two angles are congruent, then they have the same degree measure."
The truth value of this conditional statement is true.
Reasoning:
The statement is a well-known mathematical fact. Congruent angles are defined as angles that have the same measure. Therefore, if two angles are congruent, it implies that they have the same degree measure. This statement holds true for all pairs of congruent angles.
Converse: "If two angles have the same degree measure, then they are congruent."
The converse of the given conditional statement is also true. If two angles have the same degree measure, it implies that they are congruent. This is a logical consequence of the definition of congruent angles.
Inverse: "If two angles are not congruent, then they do not have the same degree measure."
The inverse of the given conditional statement is also true. If two angles are not congruent, it implies that they do not have the same degree measure. This is the negation of the original statement.
Contrapositive: "If two angles do not have the same degree measure, then they are not congruent."
The contrapositive of the given conditional statement is true. If two angles do not have the same degree measure, it implies that they are not congruent. This is the negation of the converse statement.
In summary:
- The original conditional statement is true: "If two angles are congruent, then they have the same degree measure."
- The converse is true: "If two angles have the same degree measure, then they are congruent."
- The inverse is true: "If two angles are not congruent, then they do not have the same degree measure."
- The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."
All related conditionals are true, and no counterexamples can be found for any of the statements.
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Solve for the value of x:-
7(x+2)=35
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \:x = 3 \)
____________________________________
\( \large \tt Solution \: : \)
\(\qquad \tt \rightarrow \: 7(x + 2) = 35\)
\(\qquad \tt \rightarrow \: 7x + 14 = 35\)
\(\qquad \tt \rightarrow \: 7x = 35 - 14\)
\(\qquad \tt \rightarrow \: 7x = 21\)
\(\qquad \tt \rightarrow \: x = \cfrac{21}{7} \)
\(\qquad \tt \rightarrow \: x = 3\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
bob is planning to start an it business, servicing computers that are infected with viruses. to start his new enterprise, bob estimates that he will need to spend $5,000 on equipment $6,000 on premises, $4,000 on advertising. all of these costs are fixed. he is planning on charging his customers $250 each to fix an infected computer. for each computer that he fixes, he must spend $25 on parts and software. suppose we let x be the number of computers that bob fixes. if bob fixes 300 computers, what is his total profit?
If Bob fixes 300 computers, his total profit would be $52,500.
To calculate Bob's profit, we need to first calculate his total revenue and his total costs.
Total Revenue = Price per computer × Number of computers fixed
Total Revenue = $250 × 300
Total Revenue = $75,000
Total Costs = Fixed Costs + Variable Costs
Fixed Costs = $5,000 (equipment) + $6,000 (premises) + $4,000 (advertising)
Fixed Costs = $15,000
Variable Costs = Cost per computer × Number of computers fixed
Variable Costs = $25 × 300
Variable Costs = $7,500
Total Costs = $15,000 + $7,500
Total Costs = $22,500
Now, we can calculate Bob's profit
Profit = Total Revenue - Total Costs
Profit = $75,000 - $22,500
Profit = $52,500
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On a family camping trip, 5 backpacks can fit in the trailer for every 3 people. if 9 people are going on the trip, how many backpacks can fit? 12 backpacks 14 backpacks 15 backpacks 24 backpacks
15 bags are expected for the journey for 9 people to fit backpacks in the trailer.
The fundamental principle of multiplication
To calculate the sum of two or more numbers, utilize the mathematical operation of multiplication. If an event can happen in m different ways and a second event can happen in n different ways after it, then the two events that happen in succession can happen in m n distinct ways.
Given that 5 backpacks can fit in the trailer for every 3 people.
Then 3 people = 5 backpacks
1 people = \(\frac{5}{3}\) backpacks
therefore If 9 people are going on the trip, then;
9 people = \(\frac{5}{3}*9\) backpacks
= 5 x 3
= 15 backpacks
Hence, the trailer can fit 15 backpacks if 9 people go on the trip.
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the image below shows that about 30 percent of the sun’s energy is reflected and scattered back into space. how would a 50 percent increase in earth’s albedo impact average surface temperatures?
A 50 percent increase in Earth's albedo, which refers to the reflectivity of its surface, would lead to a decrease in average surface temperatures.
Albedo plays a crucial role in determining how much of the sun's energy is absorbed or reflected by the Earth. The given information states that approximately 30 percent of the sun's energy is currently reflected back into space. If Earth's albedo increases by 50 percent, meaning more energy is reflected, it would result in less energy being absorbed by the Earth's surface and atmosphere.
The increased albedo would cause a higher percentage of the incoming solar radiation to be reflected and scattered back into space. With less energy being absorbed, the average surface temperatures would decrease. This is because less solar energy would be available to warm the Earth's surface and drive atmospheric processes that contribute to temperature regulation. Therefore, a 50 percent increase in Earth's albedo would likely lead to a cooling effect and lower average surface temperatures on our planet.
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Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′?
review the simple interest rate based on FICO scores to answer the question:
Callie plans to borrow $4,100.00 with a simple interest rate loan. determine the amount of Interest Callie will save if she is able to raise your credit score from 700 to 800.
$49.91
$70.27
$176.10
$157.32
Using simple interest, it is found that Callie will save $157.32 if she is able to raise your credit score from 700 to 800.
Simple InterestThe amount of interest after t years in simple interest is modeled by:
\(I = Prt\)
In which:
P is the initial amount. r is the interest rate, as a decimal.t is the time, in years.In this problem:
She plans to borrow $4,100.00 with a simple interest rate loan, hence \(P = 4100\).One year, hence \(t = 1\).With a credit score of 700, the rate is of \(r = 0.08132\), hence:
\(I = 4100(0.08132) = 333.41\)
With a credit score of 800, the rate is of \(r = 0.04295\), hence:
\(I = 4100(0.04295) = 176.09\)
Then, the amount saved is:
\(333.41 - 176.09 = 157.32\)
Callie will save $157.32 if she is able to raise your credit score from 700 to 800.
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What plus 9 equals 6?
Answer: -3
Step-by-step explanation:
6-9=-3
6 is the value we add in the number system .
Explain the meaning of a number system ?
As a way to express numbers, a number system is a way of expressing them. It is a method of describing numbers from a particular set mathematically by consistently employing digits or other symbols.
Every number is given a distinct representation, and the figures' algebraic and mathematical structures are also shown.
-3 + 9 = 6
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please help meeeeeeee <33
Answer:
f(5) = 22; f(9) = 34
Step-by-step explanation:
f(5) = 3(5) +7
f(5) = 22
f(9) = 3(9) +7
f(9) = 34