Answer:
The equation is equal to
[tex]y=250(0.88^{x})[/tex]
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
[tex]y=a(b^{x})[/tex]
where
x -----> the time in years
y ----> the population of animals
a is the initial value
b is the base
r is the rate of decreasing
b=(1-r) ----> because is a decrease rate
we have
[tex]a=250\ animals[/tex]
[tex]r=12\%=12/100=0.12[/tex]
[tex]b=(1-0.12)=0.88[/tex]
substitute
[tex]y=250(0.88^{x})[/tex]
The equation which represents a population of 250 animals that decreases at an annual rate of 12% is:
[tex]f(x)=250(0.88)^x[/tex]
Step-by-step explanation:It is given that:
A population of 250 animals decreases at an annual rate of 12%.
This problem could be modeled with the help of a exponential function.
[tex]f(x)=ab^x[/tex]
where a is the initial amount.
and b is the change in the population and is given by:
[tex]b=1-r[/tex] if the population is decreasing at a rate r.
and [tex]b=1+r[/tex] if the population is increasing at a rate r.
Here we have:
[tex]a=250[/tex]
and x represents the number of year.
[tex]r=12\%=0.12[/tex]
Hence, we have:
[tex]b=1-0.12=0.88[/tex]
Hence, the population function f(x) is given by:
[tex]f(x)=250(0.88)^x[/tex]
Drag each tile to the correct box.
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
Answer:
6 3/5 , 3 4/5, 4/5
Step-by-step explanation:
1) -8 2/5 + 9 1/5 =
-42/5 + 46/5 = 4/5
2) 9 2/5 + (-5 3/5) =
47/5 + -28/5 = 19/5 = 3 4/5
3). 2 1/5 + 2 2/5 =
11/5 + 22/5 = 33/5 = 6 3/5
answer is tile 3 then tile 2 then tile 1
6 3/5 , 3 4/5, 4/5
The expression are arranged in the descending order, that is from largest to smallest as follows:
33/5 > 19/5 > 4/5
What are expressions?
The expressions are the combination of various constants numbers and mathematical symbols. They form a meaningful context that is in accordance to the mathematical rules and theories.
The expressions are computed as follows:
Given:
-8 2/5 + 9 1/5
Computation:
={(-8*5)+2}/5 + {(-9*5)+1}/5
=-42/5 + 46/5
= 4/5
Given:
9 2/5 + (-5 3/5)
Computation:
={(9*5)+2}/5 + {(-5*5)+3}/5
=47/5 + -28/5
= 19/5
Given:
2 1/5 + 2 2/5
Computation:
={(2*5)+1}/5 + {(2*5)+2}/5
=11/5 + 22/5
= 33/5
Therefore, the expressions will be arranged in the order; largest to smallest: 33/5 > 19/5 > 4/5
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Is the line for the equation y = -8 horizontal or vertical? What is the slope of this
Answer:
Horizontal and it's slope is 0.
Step-by-step explanation:
y=a number is horizontal while x=a number is vertical.
The slope of horizontal lines are 0 because there is no rise.
The slope of vertical lines are undefined because there run is 0.
Slope is equal to rise over run.
y=-8 is horizontal because it represents all the points in the form (x,-8) where x is any real number.
Graph as many points as you want in the form (x,-8), you should see a horizontal line formed. The slope of y=-8 is 0.
Example of points in the form of (x,-8):
(-10,-8)
(-5,-8)
(-1,-8)
(0,-8)
(1,-8)
(5,-8)
(10,-8)
All of these go down 8 units after going left or right however many.
This is a horizontal line 8 units below the x-axis.
Answer:
Horizontal
0
Step-by-step explanation:
No matter what the x value is, the y value is - 8. Make a small table to see what that means.
x y
2 -8
0 -8
- 2 -8
See what's happening?
Look at the y intercept. The y value is - 8 when x = 0. It is also - 8 when x = 2.
Make a rough drawing on a scrap piece of paper. Plot just those 2 points. Roughly. You don't even need a ruler.
What do you see? The line must be going horizontally.
The next question is a little harder. It is not obvious, but you do know that this line either goes horizontally or vertically. So the slope can either be 0 or undefined. There is no third choice.
The general equation is y = mx + b
There is no x in y = - 8
Therefore the slope is 0. That's the only way you could get rid of the x.
Write an equation of the line that passes through the point (4,-5) with slope 2 please answer
[tex]\huge{\boxed{y+5=2(x-4)}}[/tex]
Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope of the line and [tex](x_1, y_1)[/tex] is a known point on the line.
Substitute the values. [tex]y-(-5)=2(x-4)[/tex]
Simplify the negative subtraction. [tex]\boxed{y+5=2(x-4)}[/tex]
Note: This equation is in point-slope form. If you require or prefer another form, please let me know in a comment below.
Answer:
y = 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, hence
y = 2x + c ← is the partial equation
To find c substitute (4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = 2x - 13 ← equation of line
Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 3 + 3 + 9 + ... + 81
ANSWER
[tex] \sum _{n = 1} ^{18} (6n - 15)[/tex]
EXPLANATION
The given series
[tex] - 9 - 3 + 3 + 9 + ... + 81[/tex]
This is an arithmetic series with a common difference of
[tex]d = - 3 - - 9 = 6[/tex]
The first term of the series is:
[tex]a_1 = - 9[/tex]
The general term is given by:
[tex]a_n =a_1 + d(n - 1)[/tex]
[tex]a_n = - 9+ 6(n - 1)[/tex]
[tex]a_n = - 9+ 6n - 6[/tex]
[tex]a_n =6n - 15[/tex]
The last term is 81
We can use this to determine the number of terms in the series.
[tex]81=6n - 15[/tex]
[tex]81 + 15=6n [/tex]
[tex]6n = 96[/tex]
[tex]n = \frac{96}{6} = 16[/tex]
The summation notation is:
[tex] \sum _{n = 1} ^{18} (6n - 15)[/tex]
The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27. y is 6. What is the constant of
variation
Answer:
2
Step-by-step explanation:
Varies directly means we multiply to the constant, where as inversely means we divide the constant.
So we have
"y varies directly with the square of x and inversely with z".
This means x^2 will be on top and z will be on bottom.
Like this:
[tex]y=k\frac{x^2}{z}[/tex]
We are given x=9,z=27, and y=6. This will allow us to find k.
k is constant no matter what (x,y,z) we have.
[tex]6=k\frac{9^2}{27}[/tex]
[tex]6=k\frac{81}{27}[/tex]
[tex]6=k(3)[/tex]
Divide both sides by 3:
[tex]2=k[/tex]
So the constant of variation is 2.
Answer:
The constant of variation is 2.
Step-by-step explanation:
If y is directly influenced by x², it means that the function of y will be multiplied with x². with y being inversely influenced by z, it means that the function will be divided by z. The entire function can be written as being multiplied by an unknown factor, a:
[tex]y=a\frac{x^{2} }{z}[/tex]
Replacing the known values of x, y and z, the unknown factor, a can be calculated:
[tex]6=a*\frac{9^{2}}{27}\\6=a*\frac{81}{27}\\6=a*3\\a=2[/tex]
The constant of variation is 2.
Simplify the expression.
2(3y-7) - 52 - и
Answer:
5y^2−4y−14
Step-by-step explanation:
Equation:2(3y−7)−5y(2−y)
First Distribute:
(2)(3y)+(2)(−7)+5y2+−10y
6y+−14+5y2+−10y
Then Combine Like Terms:
6y+−14+5y2+−10y
(5y2)+(6y+−10y)+(−14)
5y2+−4y+−14
Answer:
5y^2 -4y -14
Step-by-step explanation:
2(3y-7)-5y(2-y)
Distribute
2*3y -2*7 -5y *2 -5y*(-y)
6y -14 -10y +5y^2
Combine like terms and put in decreasing order
5y^2 -4y -14
The Symmetric Property of Congruence lets you say that if ∠H ≅ ∠K, then _____ ≅ ∠H.
Answer:
The Symmetric Property of Congruence lets you say that if ∠H ≅ ∠K, then ∠K ≅ ∠H.
Step-by-step explanation:
The Symmetric Property of Congruence lets you say that if ∠H ≅ ∠K, then ∠K ≅ ∠H.
We know that Symmetric property of Congruence states that if:
∠A≅∠B,then ∠B≅∠A
Therefore according to the property,the missing angle in the statement is ∠K....
Type the correct answer in the box. Use numerals instead of words. If necessary, use for the fraction bar
There are three monomials such that the greatest common factor of the first and second monomials is 2xy, and the greatest common factor of the
second and third monomials is 2x2y!
The greatest common factor of the three monomials is
Reset
Next
Answer:
2xy is the greatest common factor of the three monomials.
Step-by-step explanation:
There are three monomials such that greatest common factor of first and third monomial is 2xy and greatest common factor of second and third monomial is 2x²y.
As we know greatest common factor means, common prime factors of two numbers or expressions.
Greatest common factors of 1st and second and greatest common factors of 2nd and third monomials have been given.
So, common prime factors of these two greatest common factors will be greatest common factor of all three monomials.
Prime factors of 2xy = (2)(x)(y)
Prime factors of 2x²y = (2)(x)(x)(y)
So common factors are (2)(x)(y) which is the greatest common factors of all three monomials.
the ratio of boys to girls in a class is 8 to 5 what is the ratio of girls to all the students in the class
Answer:
5 to 13
Step-by-step explanation:
There are 5 girls in the class
To find the amount of kids in the class you have to add the girls and boys together.
There are 5 girls and 8 boys.
So 8 + 5 = 13
So there are 5 girls out of 13 students.
Answer:
5 to 13
Step-by-step explanation:
The ratio of girls to all the students in the class is 5 to 13.
8 + 5 = 13
5 girls out of 13 students
HELP ASAP FIND EACH DERIVATIVE..... 7) 3x^2y^2=4x^2-4xy
8) 5x^3 + xy^2= 5x^3y^3
9)y=(3x^4+5x^3-5)/2x^4-4
Answer:
7. (4x - 3xy^2 - 2y) / (3x^2y + 2x).
Step-by-step explanation:
Implicit differentiation:
7. 3x^2 y^2 = 4x^2 - 4xy
6x * y^2 + 3x^2 * 2y y' = 8x - 4(x y' + y)
6xy^2 + 6x^2y y' = 8x - 4x y' - 4y
6x^2y y' + 4x y' = 8x - 6xy^2 - 4y
y' = (8x - 6xy^2- 4y) / (6x^2y + 4x)
y' = 2(4x - 3xy^2- 2y) / 2(3x^2y + 2x)
= (4x - 3xy^2 - 2y) / (3x^2y + 2x).
Numbers 8 and 9 are done in the same way.
We use the Chain, Product and Quotient rules where applicable.
Chris lost $5.29 playing poker in one week. If this continued, what would be his net winnings or losses after five weeks ?
Answer:
$26.45
Step-by-step explanation:
If Chris lost $5.29 playing poker in one week, in five weeks he would lose $26.45.
$5.29 lost per week.
5 weeks.
$5.29 x 5 = $26.45.
The net loss of Chris after five weeks will be $26.45.
Average value per week: -$5.29
Net loss after five weeks: -$5.29 x 5 = -$26.45
In the state of Indiana, 302500 people don't drive. If this is 5% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older. Express your answer rounded to the nearest hundredth of a million.
Answer: 6,050,000
Step-by-step explanation:
5%=0.05
302500/0.05=6,050,000
Answer:
x = 6050000
Step-by-step explanation:
Set up a proportion
5% = 302500 people
100% = x
5/100 = 302500
100/100 = x Cross multiply
5x / 100 = 302500 * 100/100 Multiply both sides by 100
5x / 100 * 100 = 302500 * 100 / 100 *100 Do the multiplication
5x = 302500 * 100 Combine the right.
5x = 30250000 Divide by 5
5x/5 = 30250000/5
x = 6050000
1/100 of a million is the 5. It is already rounded to what it should be. So the answer is what we have.
Given: m || n
What is the value of x?
x = a0
Answer:
x = 8
Step-by-step explanation:
Since m and n are parallel lines, then
6x - 2 = 46 ← alternate angles
Add 2 to both sides
6x = 48 ( divide both sides by 6 )
x = 8
Answer:
x=8
Step-by-step explanation:
The value of the angles are the same due to them being alternate interior angles and opposite angles. This means we can set 6x-2=46. Add 2 to each side to isolate the 6x. This leaves you with 6x=48. Divide by 6 to isolate x. 48/6= 8. X=8. Hope this helps :).
The net of a solid is the view from above the solid. True False
Answer: False
Step-by-step explanation: A net is when a 3 dimensional shape is unwrapped. For example, a cube’s net is 6 squares when unwrapped.
Billboard on the highway has a perimeter of 118 feet find the length of the billboard at the height is 19 feet
Answer:
the length is 40 ft
Step-by-step explanation:
perimeter is length+length+height+height.
If the height is 19 ft then the first equation would be 118-(19+19)=80
Then you would do 80/2= 40
The length is 40 ft.
The length of the billboard with a perimeter of 118 feet and a height of 19 feet is 40 feet.
To find the length of the billboard when the perimeter is 118 feet and the height is 19 feet, you can use the formula for the perimeter of a rectangle: Perimeter = 2(length + height). Given that the height is 19 feet, you set up the equation 118 = 2(l + 19) and solve for the length (l).
First, divide both sides of the equation by 2:
59 = l + 19
Next, subtract 19 from both sides:
l = 59 - 19
l = 40
If Esther deposited $50 at the end of each month into an account with no interest, how much money would she have saved by the end of 12 months?
Answer:
she will have saved a total of $600.00
Step-by-step explanation:
$50.00 x 12=$600.00
Which of the following expressions represents the distance between -1/4 and 3/4?
Answer:
[tex]\large\boxed{C.\ \left|-\dfrac{1}{4}-\dfrac{3}{4}\right|}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a distance between x and y on a number line:}\\\\d=|b-a|=|a-b|\\\\\text{We have}\ a=-\dfrac{1}{4}\ \text{and}\ b=\dfrac{3}{4}.\ \text{The distance:}\\\\d=\left|-\dfrac{1}{4}-\dfrac{3}{4}\right|=\left|\dfrac{3}{4}-\left(-\dfrac{1}{4}\right)\right|[/tex]
Answer:
The correct answer is C none of the above
Step-by-step explanation:
Find the slope of the line containing the points (5, -1) and (-8, -4).
Finding the slope using two points, (5, -1) and (-8, -4)
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =-4\\y_{1} =-1\\x_{2} =-8\\x_{1} =-5[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{-4-(-1)}{-8-5}[/tex]
[tex]\frac{-3}{-13}[/tex]
[tex]\frac{3}{13}[/tex]
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
The formula to find a slope using two points is:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\m = ((-4)-(-1))/((-8)-(5))\\m = -3 / -13\\m = 3/13[/tex]
If y = 3ab + 2b3, what is y when a = 1 and b = 2
Answer: The required value of y is 22.
Step-by-step explanation: We are given the following function of a and b :
[tex]y=3ab+2b^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of y when a = 1 and b = 2.
To find the required value of y, we need to substitute the values of a and b in equation (i).
From (i), we get
[tex]y=3\times1\times2+2\times2^3=6+16=22.[/tex]
Thus, the required value of y is 22.
The solution to the given algebraic Expression is; y = 22
What is the solution to an algebraic expression?
We are given the algebraic expression;
y = 3ab + 2b³
We want to find y when a = 1 and b = 2.
Plugging in the relevant values gives;
y = 3(1*2) + 2(2³)
y = 6 + 16
y = 22
In conclusion, the solution to the expression is y = 22
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51 males to 21 females ratio or rate as a fraction
Answer:
[tex]\frac{17}{7}[/tex]
Step-by-step explanation:
51 males to 21 females is equivalent to the following:
51 to 21
51:21
51/21
[tex]\frac{51}{21}[/tex]
We could simplify this ratio. Both 51 and 21 have factors of 3 so I'm going to divide both parts of our ratio be 3.
So 51 divided by 3 is 17 and 21 divided by 3 is 7.
The simplified version of the answers above:
17 to 7
17:7
17/7
[tex]\frac{17}{7}[/tex]
The ratio of males to females is written in the form of fraction as 17/7.
What is Ratio?When a number is divisible by another number, then it can be written in the
form of p:q, this is called Ratio.
The number of total males = 51
The total females = 21
The ratio of males: females = 51 : 21
As fraction, in terms of p/q it can be written as 51/21
It can be simplified as
17/ 7
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If a rectangle's length is
2t+1
and the width is
t-3 write an expression for the perimeter and an expression for the area.
Answer:
Perimeter = 6t - 4
Area = 2t² - 7t - 3
Step-by-step explanation:
Given length = 2t + 1
Width = t - 3
So perimeter = 2t +1 + t - 3 + 2t + 1 + t - 3
= 2t + t + 2t + t + 1 - 3 + 1 - 3
= 6t - 4
Area = (2t + 1)(t - 7)
= 2t² - 6t + t - 3
= 2t² - 7t - 3
Sorry if im wrong but i think thats the answer
For this case we have that by definition:
The area of a rectangle is given by:
[tex]A = a * b[/tex]
Where:
a and b are the sides of the rectangle.
For its part, the perimeter will be given by:
[tex]P = 2a + 2b[/tex]
If we have as data:
[tex]a = 2t + 1\\b = t-3[/tex]
So, the area is given by:
[tex]A = (2t + 1) (t-3)[/tex]
We apply distributive property:
[tex]A=2t^2-6t+t-3\\A=2t^2-5t-3[/tex]
For its part, the perimeter is:
[tex]P = 2 (2t + 1) +2 (t-3)\\P = 4t + 2 + 2t-6\\P = 6t-4[/tex]
ANswer:
[tex]A = 2t ^ 2-5t-3\\P = 6t-4[/tex]
Calculate the area of rhombus ABCD where diagonal AC = 66 units and diagonal BD = 26 units
Answer:
858 sq. units
Step-by-step explanation:
Area of a rhombus is found by A=ab/2 where a and b are the diagonals of the rhombus and A is the area.
AC is a and BD is b
A= (AC.BD)/2
=(66×26)/2
=858 Sq units
The area of the rhombus is therefore 858 sq. units.
Graph the data in the table below. Which kind of function best
models the data? Write an equation to model the data. Please help ASAP
Answer:
C
Step-by-step explanation:
Try to plug in the first pair of numbers to eliminate some equations, all but C fail to satisfy the equation. So C is the answer.
Answer:
CStep-by-step explanation:
Notice that the table doesn't have an exponential behaviour. Because an exponential function has the point (0,1), because all powers with a null exponent are equal to 1.
Also, notice that the table doesn't show a linear relation, because y-variable has all values positive.
Therefore, the only relation that follows the values of the table is
[tex]y=2.5x^{2}[/tex]
Let's evalue each x-value
[tex]y=2.5(-2)^{2} =2.5(4)=10\\y=2.5(-1)^{2}=2.5(1)=2.5\\ y=2.5(0)^{2}=2.5(0)=0\\y=2.5(1)^{2}=2.5\\y=2.5(2)^{2}=10[/tex]
Therefore, the right answer is C. The given values show a quadratic relation.
A faster way to deduct the quadratic pattern is observing that y-values are symmetric no matter if x-values are positive or negative, that meanst he function is pair, or quadratic.
Robin earned twice as much money this week as she did last week. Let d represent the amount of money she earned last week. Write a variable expression to represent how much money she earned this week? *
Answer:
2d=m
Step-by-step explanation:
d represents the amount of money she earned Last weekm represents the amount of money she earned this week2xd=m
The variable expression that represents the money Robin earned this week, if 'd' is the money she earned last week, is '2d'. This is because Robin earned twice as much this week as she did the previous week.
Explanation:In the context of this question, Robin earned twice as much money this week as she did last week. Because last week's earnings are represented by the variable, the expression to represent this week's earning becomes 2d. The number 2 is multiplied by d because Robin earned double this week of what she earned last week. Therefore, 2d accurately represents Robin's earnings for this week, if d is the amount she earned last week.
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If a parallel b and e parallel f what is the value of y
Answer:
C
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
(x+1) + (x-3) = 180
2x-2=180
2x=182
x=91
(x+1) = 92
(x+1) and y are equal angles
y = 92
edge 2023
The solution to an inequality is given in set-builder notation as {x l x >2/3 }. What is another way to represent this solution set?
The solution to the inequality represented in set-builder notation can also be expressed in interval notation. In this case, the solution set is x > 2/3, indicating that x can take any value greater than 2/3.
Explanation:The solution to the given inequality, {x | x > 2/3}, can also be represented as x > 2/3 in interval notation. In interval notation, 2/3 is excluded from the solution set, so the inequality becomes x > 2/3. This means that x can take any value greater than 2/3, such as 1, 1.5, 2, 2.5, and so on.
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Another way to represent the solution set {x | x > 2/3} is (2/3, ∞) in interval notation.
Explanation:Another way to represent the solution set {x | x > 2/3} is by using interval notation.
Interval notation represents a range of values between two endpoints using parentheses or brackets.
In this case, the solution set would be represented as (2/3, ∞) because the values of x are greater than 2/3. This means that x can take any value greater than 2/3, such as 1, 1.5, 2, 2.5, and so on.
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What is the value of b?
Both chords are the same distance from the center of the circle ( the 12 inch lines are the same length).
This means that both chords are the same length. The bottom chord has a dimension of 22.5.
B id half the top chord so would be equal to half of 22.5
b = 22.5 / 2 = 11.25
Angelo, Brandon, and Carl work in the same office. Angelo’s age is 4 years more than twice Carl’s age. Brandon is 5 years younger than Carl. The average of the three ages is 41.
Part A: Use a variable to define the age of one of the men.
Part B: Use the variable in part A to represent the ages of the other two men.
Part C: Write an equation that represents the average of the three men's ages equivalent to 41.
Part D: Find the age of each of the men.
Answer:
Angelo is 66 Brandon is 26 Carl is 31
Step-by-step explanation:
Variables a=Angelo b=Brandon c=Carl
Equation (1/3)(a+b+c) = 41
The age of each man is Carl (31), Angelo (66), and Brandon (26).
Explanation:Part A: Let's use the variable x to represent Carl's age.
Part B: Angelo's age is 4 years more than twice Carl's age, so we can write his age as 2x + 4. Brandon is 5 years younger than Carl, so his age is x - 5.
Part C: The average of the three ages is given as 41, so we can write the equation (x + 2x + 4 + x - 5) / 3 = 41.
Part D: To find the age of each man, we solve the equation:
(x + 2x + 4 + x - 5) = 3 * 41
4x - 1 = 123
4x = 124
x = 31
Carl's age is 31, Angelo's age is 2(31) + 4 = 66, and Brandon's age is 31 - 5 = 26.
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A diameter is a line segment whose endpoints are on a circle. It is a special type of chord because it must contain the _____ of the circle HELP!!!!!!!!!!
A diameter is a special type of chord that passes through the center of a circle. It has its endpoints on the circle's circumference, with the center of the circle as its midpoint.
Explanation:In the field of mathematics, a diameter is indeed a special type of chord. The unique characteristic of a diameter, differentiating it from other chords, is that it must contain the center of the circle - that is the definition finds its completion. As a line segment, a diameter has its endpoints on the circumference of the circle and its middle point is the center of the circle. So, when referring to a diameter, you are essentially talking about the largest chord in a circle that passes through the center.
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Answer:
D
Step-by-step explanation:
The Rational root theorem states that the possible roots ( zeros) of a polynomial are of the form
( plus or minus ) factors of the constant term divided by the factors of the leading coefficient.
For x³ - 3x² + 27x - 8
The factors of constant term (- 8) are ± 1, 2, 4, 8
The coefficient of the leading term x³ is 1
Hence possible zeros are
± ([tex]\frac{1,2,4,8}{1}[/tex]) = ± 1, ± 2, ± 4, ± 8 → D