Write the complex number 8/1+i in standard form?
Answer: 8 + i
Step-by-step explanation:
The complex number 8/1+i can be written in standard form as 8 + i. In standard form, a complex number is written as a+bi, where a is the real part and bi is the imaginary part. In this case, the real part is 8 and the imaginary part is i. Therefore, the standard form of the complex number 8/1+i is 8 + i.
Answer: 4-4i
Step-by-step explanation:
[tex]\displaystyle\\\frac{8}{1+i} =\\\\\frac{8(1-i)}{(1+i)(1-i)}=\\\\\frac{8(1-i)}{1^2-i^2} =\\\\\frac{8(1-i)}{1-(\sqrt{-1})^2 }=\\\\\frac{8(1-i)}{1-(-1)}=\\\\\frac{8(1-i)}{1+1} =\\\\\frac{8(1-i)}{2} =\\\\4(1-i)=\\\\4-4i[/tex]
$......
(c) One month, Gretal spent a total of $360 on presents.
She spent 1/5 of this total on presents for her parents.
She spent 2/3of the remaining money on presents for her friends.
She spent the rest of the money on presents for her sisters.
Calculate the percentage of the $360 that she spent on presents for her sisters.
The percentage that she spent on present for her sister is 26.67%
What does % example mean?
Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.
Given that :
She spent = 360 * 1/5 = $72 on presents for her parents
she spent = 360 - 72 = 288 * 2/3 = $192 on presents for her friends
She spent = 288 - 192 = $96 on presents for her sister
Percentage of the $360 that she spent on presents for her sisters is
96/360 * 100 = 26.67%
Hence the percentage that she spent on present for her sister is 26.67%
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cory has 42 feet of fencing around his garden. the garden is rectangular in shape and its length is equal to twice the width minus 3 feet. write a system of equations to find the length and width of the garden. what is the length and width of the garden?
The variables as length are L and width is W and the system of equations is L = 2W - 3 and 42 = 2(L + W) and the length and width are 13 feet and 8 feet respectively.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
As per the given total fencing = 42 feet
Let's say the length is L and the width is W.
As per the given,
L = 2W - 3
Perimeter = 2(length + width)
42 = 2(L + W)
21 = 2W - 3 + W
21 + 3 = 3W
W = 8 feet
And, L = 2(8) - 3 = 13 feet
Hence "The variables as lengths are L and width is W and the system of equations is L = 2W - 3 and 42 = 2(L + W) and the length and width are 13 feet and 8 feet respectively".
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If we reject the null hypothesis, we conclude that: there is enough statistical evidence to infer that the alternative hypothesis is true. there is not enough statistical evidence to infer that the alternative hypothesis is true. there is enough statistical evidence to infer that the null hypothesis is true. there is not enough statistical evidence to infer that the null hypothesis is true.
If we reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the null hypothesis is true.
In hypothesis testing, the researcher makes a claim about the population and then uses a sample of the population to determine whether or not the claim is accurate. Before the sample is drawn, the degree of significance—or the predicted error—must be determined. The validity of a claim is determined by the value of a test statistic.
The researcher rejects the provided null hypothesis if the test statistic's value is significant. When the null hypothesis is rejected, there is no discernible difference between the hypothesized value and the sampled observations. If the null hypothesis is rejected, it is determined that there is insufficient statistical support to draw the conclusion that it is true.
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The population of a city decreases by 3.3% per year. If this year's population is 72,000, what will next year's population be, to the nearest individual?
Using the given information, the city's next year population will be 69,840
Determining the population of a cityFrom the question, we are to determine what the population of the city will be the following year
From the given information,
"The population of a city decreases by 3.3% per year"
and
This year's population is 72,000
Thus,
The population of the following year will be
72000 - 3% of 72000
Next year population = 72000 - 3% of 72000
Next year population = 72000 - 3% × 72000
Next year population = 72000 - 0.03 × 72000
Next year population = 72000 - 2160
Next year population = 69,840
Hence, the population will be 69,840
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Find the measure of the missing angle
The measures of the missing angles are:
1. x = 41°
2. x = 100°
3. x = 42°
4. x = 47°
5. x = 65°
6. x = 73°
7. x = 70°
8. x = 43°
How to Find the Missing Measures of the Angles?To find the missing measures of each of the angles given, we need to apply one of the property of isosceles triangles which states that the base angles of an isosceles triangle has the same measure.
1. x = 41° [base angles]
2. x = 180 - 2(40) = 100°
3. x = 180 - 2(69) = 42°
4. x = 1/2(180 - 86) = 47°
5. x = 65° [base angles are equal]
6. 2x = 146
2x/2 = 146/2
x = 73°
7. x = 180 - 2(180 - 125)
x = 70°
8. 2x = 86
2x/2 = 86/2
x = 43°
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which expression is equivalent to −10.75 (20x +15.2)
The expression which is equivalent to −10.75(20x +15.2) is -215x - 163.4.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical terms.
As per the given expression,
−10.75 (20x +15.2)
By multiplying or opening the bracket,
When a bracket opens then the outer number will multiply with all inner variables as,
⇒ (-10.75 × 20x) + (- 10.75 × 15.2)
⇒ -215x - 163.4
Hence "The expression which is equivalent to −10.75(20x +15.2) is -215x - 163.4".
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liz is baking cookies. a single batch uses ¾ teaspoons of vanilla. if liz is mixing the ingredients for five batches at the same time, how many tablespoons of vanilla will she use?
Step-by-step explanation:
Liz is baking cookies. a single batch uses ¾ teaspoons of vanilla. if Liz is mixing the ingredients for five batches at the same time, how many tablespoons of vanilla will she use?
3/4 = 0.75 teaspoons
0.75 teaspoons * 5 batches = 3.75 teaspoons
There are 3 teaspoons in a tablespoon so:
Liz will use:
1 1/4 tablespoons
if you need in decimal form: 1.25 tablespoons
how many bit strigs of length 5 do have 3 consecutive zeros such that the remaining two bits are not not equal?. show all your work step by step to get credit. final answers must be provided in decimal form three important considerations for this problem: (a) brute force is not allowed in this problem. it must be solved using either permutations, combinations or both. (b) a bit can be 0 or 1 (c) repetitions are not allowed in the final results.
Based on the permutation concept, the allowed final result is 20
Permutation method
In statistics, permutation means a mathematical calculation of the number of ways a particular set can be arranged.
Given
Here we need to find how many bit strings of length 5 do have 3 consecutive zeros such that the remaining two bits are not not equal.
Let us consider T denote the number of bit strings of length containing 3 consecutive 0's.
Total no. of bit strings of length = 5
And the no. of bit strings of length not containing 3 consecutive 0's = 3
Then the possible combination of permutation is calculated as,
=> T = 5!/3!
=> T = 20
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goodness of fit 5. a buyer for a t-shirt shop wants to compare the proportion of t-shirts of each size that are sold to the proportion that were ordered. the buyer counts the number of t-shirts of each size that are sold in a week. size sold small medium 25 41 large 91 extra large 68 percentage ordered 10% 20% 40% 30% does the distribution of the sold items follow the distribution of the ordered items? state the conclusion.
The buyer concludes that there is not a significant difference between the observed t-shirt sales and the expected t-shirt sales.
Given :
goodness of fit 5. a buyer for a t-shirt shop wants to compare the proportion of t-shirts of each size that are sold to the proportion that were ordered. the buyer counts the number of t-shirts of each size that are sold in a week.
Test :
Test Contribution
Category Observed Proportion Expected to Chi-Square
Small 25 0.1 22.5 0.277778
Medium 41 0.2 45.0 0.355556
Large 91 0.4 90.0 0.011111
Extra Large 68 0.3 67.5 0.003704
The overall chi-square statistic is 0.648 and has a p-value of 0.885. Because the p-value is greater than the significance level of 0.05, the buyer fails to reject the null hypothesis.
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an integer is randomly selected from the integers 0 through 99, inclusive. what is the probability that the integer is in the range 10 through 20, inclusive? express your answer as a common fraction.
The probability that the integer is in the range 10 through 20, inclusive is 1/10 .
Given :
an integer is randomly selected from the integers 0 through 99, inclusive. what is the probability that the integer is in the range 10 through 20, inclusive.
The number of integers between 0 and 99 is 100.
And the number of integers between 10 and 20 is 10.
Probability = number of favorable outcomes / number of possible outcomes
= 10 / 100
= 1 / 10
Therefore the probability that the integer is in the range 10 through 20, inclusive is is 1/10.
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If Y is the circumcenter of
Please help I’m
Failing
Answer:
Measures are SV=9 units., SY=14 units, YW= [tex]\sqrt{75units}[/tex], YW=[tex]\sqrt{27units}[/tex]
Step-by-step explanation:
===================================================
Explanation:
The circumcenter is found by intersecting the perpendicular bisectors of the triangle.
Segments VY, WY, and XY are perpendicular bisectors of triangle STU.
A perpendicular bisector has two properties:
It is perpendicular to the given side, i.e. it forms a 90 degree angle.It divides the segment into two equal pieces.Perpendicular bisector WY divides side TU into equal pieces TW and WU
In short:
TW = WU
So
TW = 11
since WU is equal to 11 as well
---------------------------------------
Focus on triangle TWY.
This is a right triangle with the sides of...
TW = 11 = one legYW = unknown = the other legYT = 14 = hypotenuseWe'll use the pythagorean theorem to determine the unknown leg.
Plug in a = 11 and c = 14. Then let's solve for b.
[tex]a^2+b^2 = c^2\\\\11^2+b^2 = 14^2\\\\121+b^2 = 196\\\\b^2 = 196-121\\\\b^2 = 75\\\\b = \sqrt{75}\\\\b \approx 8.66025\\\\b \approx 8.7\\\\[/tex]
Therefore, segment YW is roughly 8.7 units.
You are standing on a ledge and throw a ball from 10 feet above the ground. The speed the ball leaves your hand is 16 feet per second and the acceleration of gravity is -16 feet per second squared.
How many seconds does it take to reach the highest point (vertex)?
Options for what the answer could be that i was given are:
18 seconds
1 second
0.5 seconds
9 seconds
The time taken is 1 second to reach the highest point by using std equations of velocity, time and displacement .
What are 3 std equations of velocity, time and displacement ?
The three standard equations are given as :
1st std equation : v = u + at
2nd std equation : s = u*t + (1/2)at²
3rd equation : 2as = v²-u²
By using 1st std equation:
At highest point final velocity will be zero(0).
So, v = 0
u = 16
a = -16
0 = 16 + -16*t
t = 1sec
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bookword code G06 calculate length of AD
F=9/5C+32 where C>-273.15
Identify the independent and dependent variables?
The required C is the independent variable and X is the dependent variable.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given function,
F = 9/5C + 32
Where C > -273.15
Since the value of C in the function is justified while the value of F is not, So F will be the dependent variable and C will be the independent variable.
Thus, the required C is the independent variable and X is the dependent variable.
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How do you write 0.54 in percent?
Step-by-step explanation:
as percent means per 100
So we can say 0.54 or 54100 is the same as 54%.
hope understand
Mr. Jones has driven 600 miles to Dallas. He has 70% of the trip left to go. How many more miles does Mr. Jones have to drive to get to his destination? Round your answer to the nearest whole mile.
Answer: Mr.Jones have to drive 420 miles more to get to his destination
Step-by-step explanation:
Find 70 percent of 600
70 percent is the same as 0.7
Mutiply 600 by 0.7 to find the remaining miles
600*0.7=420
Given rhombus ABCD, find mLADC.
The measure of the required angle of the given rhombus ABCD is m∠ADC = 64°.
Properties of a rhombus:In a rhombus, the opposite angles are equal in measure.The diagonals in a rhombus are the angle bisectors.The two diagonals bisect each other.The adjacents angles of a rhombus are supplementary.Calculation:The given rhombus has four angles as
∠ADC, ∠DCB, ∠CBA, and ∠BAD
It has two diagonals that bisect each other at point E.
And we have ∠ABD = 32° and ∠ACD = 58°
Here, the angles ∠ABD and ∠BDC are alternate angles. Since we know that, the alternate angles are equal in measure, we can write
∠ABD = ∠BDC
⇒ 32° = ∠BDC
Since we know that the diagonals of a rhombus bisect the angles, we get
∠ADC = 2∠BDC
⇒ ∠ADC = 2 × 32° = 64°
Therefore, the required angle of the rhombus is ∠ADC = 64°.
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Which expression is equivalent to 3(−5.5b − 3) − (5b + 7)?
11.5b + 4
−21.5b − 2
−21.5b − 16
11.5b − 16
Answer:
-21.5b - 16
Step-by-step explanation:
Simplify the expression
3(−5.5b − 3) − (5b + 7)
-16.5b - 9 - 5b - 7 [Expand the parentheses]
-21.5b - 16 [Add like terms]
This matches the third option.
Use the following unit fractions to express 90 miles per hour in feet per second. 5280 ft/1 mi, 60 min/1 hr, and 60 sec/1 min 90 mi/hr = ft/sec
90 miles per hour is 132 feet per second. To convert multiply it by 5,280, then divide by 3,600. The foot per second is a speed and velocity unit.
How to convert speed ?Mile per hour is a speed unit defined in the Imperial and US customary systems of measurement. It calculates how many miles an object travels in an hour. The international mile [mi] is a length unit that is equivalent to 5280 feet and precisely defined as 1609.344 metres. The abbreviation mph is more commonly used on signs and labels, but in science and engineering contexts, mi/h may be more convenient for unit arithmetic.
The Imperial and US customary systems of units define the foot per second as a unit of speed. It calculates the distance an object travels in one second. The foot [ft] is a length unit that is precisely defined as 0.3048 metres.
To convert a speed value from miles per hour to feet per second, multiply it by 5,280, then divide by 3,600.
Speed in miles per hour = 90 miles per hour
Speed in feet per second = 90 * 5,280 / 3600 = 132 feet per second
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Samir is going to invest $22,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Samir to end up with $38,000?
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
What is the interest rate?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .
r = n[(A/P)1/nt - 1]
r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]
r = 0.0909090
Then convert r to R as a percentage
R = r × 100
R = 0.0909090 × 100
R = 9.0909 %/year
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
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Answer: 6.1
Step-by-step explanation:
A computer software developer would like to use the number of downloads (in thousands) for the trial version of his new shareware to predict the amount of revenue (in hundreds of dollars) he can make on the full version of the new shareware. Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:
Regression Statistics Multiple R 0.8691 R Square 0.7554 Adjusted R Square 0.7467 44.4765 Standard Error Observations 30,0000 ANOVA SS MS Significance F 1 171062.9193 171062.9193 86.4759 Regression 0.0000 28 55388.4309 1978.1582 Residual Total 29 226451.3503 Coefficients Standard Emor t Stat P-value Lower 95% Upper 95% 95.0614 26.9183 3.5315 0.0015 150.2009 39,9218 intercept 4.5513 Download 3,7297 9.2992 0.0000 0.4011 2.9082
a) Write down the regression equation.
b) What is the correct interpretation for the slope coefficient?
c) Predict the revenue when the number of downloads is 30,000.
Answer: ______________________________
d) What is the correct interpretation for the coefficient of determination (R2)?
e) The 95% confidence interval estimate for the population slope is (______________ , ______________)
f) Is there sufficient evidence that revenue and the number of downloads are linearly related at a 5% level of significance? Give a reason why.
Here is sufficient evidence that revenue and the number of downloads are linearly related.
A computer software developer would like to use the number of downloads for the trial version of his new shareware to predict the amount of revenue.
The Null hypothesis is the common statistical theory that asserts that no statistical relationship or significance exist between two sets of observed data and measure phenomena based on a single observed variable.
Therefore the null hypothesis become,
H₀ : ρ₁ = 0
and the adjacent hypothesis will become,
H₁ : ρ ≠ 0
Now we will calculate test statistic,
t = r × [tex]\sqrt{\frac{n-2}{1-r^{2} } }[/tex]
= (0.8691) × [tex]\sqrt{\frac{30 - 2}{0.1309^{2} } }[/tex]
t = 9.2974
we know that degree of freedom = n - 2 = 28
p-value at t = 9.2974 is 0.00
α = 0.05
since p-value < α
so null hypothesis will be rejected.
Hence we can say that there is sufficient evidence that revenue and the number of downloads are linearly related.
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1. connie multiplies a number by 2 and gets 60 as her answer. however, she should have divided the number by 2 to get the correct answer. what is the correct answer?
The correct answer is 15.
Given:
connie multiplies a number by 2 and gets 60 as her answer
let x is the number
then, 2x=60
or x=30.
since , she should have divided the number by 2 to get the correct answer
According to the question,
Dividing the number by 2
Therefore , correct answer = 30/2 = 15
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14.25 Hot Spot. Hot Spot is a California lottery game. Players pick 1 to 10 Spots (sets of numbers, each from 1 to 80) that they want to play per draw. For example, if you select a 4 Spot, you play four numbers. The lottery draws 20 numbers, each from 1 to 80. Your prize is based on how many of the numbers you picked 27% Page 1584 of 6452 Location Co match one of those selected by the lottery. The odds of winning depend on the number of Spots you choose to play. For example, the overall odds of winning some prize in 4 Spot is approximately 0.256. You decide to play the 4 Spot game and buy 5 tickets. Let X be the number of tickets that win some prize. 6452 Location 18277 of 68468 32°F Mostly cloudy 6:10 3/14 the location of the mean on your histogram. a. Xhas a binomial distribution. What are n and p? b. What are the possible values that x can take? e, Find the probability of each value of X. Draw a probability histogram for the distribution of X. (See Figure 14.2 on page 331 for an example of a probability histogram.) d. What are the mean and standard deviation of this distribution? Mark 14.26 Roulette-Betting on Red. A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots o and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. The wheel is carefully a Page 1585 32°F Mostly cloudy
The answers to each part are as follows -
a. n refers to the number of bought tickets. p is representative of the probability that I will win some prize after taking a single ticket.
b. The values of X will be in the range 0 to 5. It is indicative of number of won tickets. Hence, values that are possible are 0, 1, 2, 3, 4 and 5.
c. The probability of each value of x will be calculated using Binomial formula. The formula is-
P(x) = (n choose x) × [tex] {p}^{x} [/tex] × [tex] {(1 - p)}^{n - x} [/tex]
In this formula, n is the number of trials, p is probability of success and x is number of successes.
Keep the values in formula for calculation -
P(0) = (5 choose 0) * 0.256^0 * (1-0.256)^(5-0)
P(0) = 0.326
P(1) = (5 choose 1) * 0.256^1 * (1-0.256)^(5-1)
P(1) = 0.410
P(2) = (5 choose 2) * 0.256^2 * (1-0.256)^(5-2)
P(2) = 0.219
P(3) = (5 choose 3) * 0.256^3 * (1-0.256)^(5-3)
P(3) = 0.062
P(4) = (5 choose 4) * 0.256^4 * (1-0.256)^(5-4)
P(4) = 0.011
P(5) = (5 choose 5) * 0.256^5 * (1-0.256)^(5-5)
P(5) = 0.001
d. For the probability histogram stating the distribution of x, the x-axis will have x values and y-axis will have the probability of each x value. The mean of distribution will be calculated by the formula -
mean = n × p
mean = 5 × 0.256
mean = 1.28
Further, the standard deviation will be calculated by the formula -
Standard Deviation = [tex] \sqrt{n × p × (1-p)} [/tex]
Keep the values in formula -
Standard Deviation = [tex] \sqrt{5 × 0.256 × (1-0.256)} [/tex]
Standard Deviation = 0.995
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State the relationship between the congruent angles
The vertices of a triangle are P(3,-2), Q(-1, -2), and R(2, 7). Name the vertices of APQR after a reflection over the y axis.
P'(3,-2). Q'(-1,-2), R'(2,7)
P'(-3, 2), Q'(1, 2), R'(-2,-7)
P'(-3,-2). Q'(1, -2), R'(-2,7)
P'(3, 2), Q'(-1,2), R'(2-7)
The reflection of triangle with respect to y axis is P'(-3,-2). Q'(1, -2), R'(-2,7)
How does reflection relate to the y axis?
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).
What does a reflection mean in mathematics?
A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.
For the reflection we need to see first the axis then we will fix that coordinate of the axis like in this case we have y axis so y coordinates will be fix and for x coordinate we will do in opposite direction like for 3 it will be -3 , for -1 it will be 1 and for 2 it will be -2
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Which of the following expressions represent a number greater than 1?
Select each correct answers
The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3 so options (B) and (D) are correct.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
As per the given fractions,
2 ÷ 1/3 = 2 x 3/1 = 6 > 1
3/4 ÷ 2/3 = 3/4 x 3/2 = 9/8 > 1
Hence "The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3".
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The complete question below,
jim is considering pursuing an ms in information systems degree. he has applied to two different universities. the acceptance rate for applicants with similar qualifications is 30% for university x and 40% for university y. what is the probability that jim will not be accepted at either university?
Probability that jim will not be accepted at either university is 0.42
He has applied to two different universities.
the acceptance rate for applicants with similar qualifications is 30% for university x
the acceptance rate for applicants with similar qualifications is 40% for university Y
Here, getting accepted into the two different universities are two independent events.
P(A or B) = P(A) x P(B)
Probability of not getting accepted in university X is 1 - 0.30
Probability of not getting accepted in university Y is 1 - 0.40
Probability that jim will not be accepted at either university
P'(X or Y) = P'(X) x P'(Y)
=(1 - 0.30) x(1 - 0.40) = 0.70 x 0.60 = 0.42
Therefore, Jim will not be accepted at either university has a probaility of 0.42 or 42%
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1 What is the greatest common factor (GCF) of 2-53 and 3²-7?
the linear factors of the cubic are ✔ (x – 2)(x – 3)(x – 5) . to solve for the leading coefficient, use ✔ –5 = a(0 – 2)(0 – 3)(0 – 5) . a = ✔ 1/6 write the function: f(x) = x3 – x2 x –
For the linear factors of the cubic, which are (x - 2)(x - 3)(x – 5), the function will be f(x)=1/6x³–5/3x²+31/6x–5.
What is linear factors?The first-degree equations that make up a polynomial's linear factors serve as the foundation for higher-order and more complicated polynomials. The formula for a linear factor is ax + b, and it cannot be factored further. A linear factor model establishes a linear equation-based relationship between the return on an asset (such as a stock, bond, mutual fund, or other type of investment) and the values of a small number of factors.
Here,
The linear factors of the cubic are
=(x – 2)(x – 3)(x – 5)
To solve for the leading coefficient, use
–5 = a(0 – 2)(0 – 3)(0 – 5)
a = 1/6
f(x)=1/6x³–5/3x²+31/6x–5
The function will be f(x)=1/6x³–5/3x²+31/6x–5 for the the linear factors of the cubic that is (x – 2)(x – 3)(x – 5).
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