Find the area of the rug by multiplying the length by the width:
7 x 5 = 35 square meters.
Now multiply the area of the rug by the cost:
35 square meters x 285 pesos per square meter = 9,975 total pesos.
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?
O 1-6 - 751, - 6 + V51)
O 1-6 - 121, -6 + V21)
O 16 - 151,6 + V51)
O (6 - 121,6 + V21)
Answer:
(6-[tex]\sqrt{21}[/tex]) (6+[tex]\sqrt{21}[/tex])
Step-by-step explanation:
The solution set of the equation x2 = 12x – 15 is O (6 - 121,6 + V21).
The answer is option D.
What is a quadratic equation?
A quadratic equation is an equation that can be rearranged in standard form.
ax²+bx²+c=0
The solution gives two values of the single variable.The values are real root and non-real roots.Calculation
equation x2 = 12x - 15
can be written as
x² - 12x = -15
On square by adding (-b/2)2 on both sides of the equation
x²- 12x + (-12/2)² = -15 + (-12/2)²
We get
⇒ x² - 12x + (-6)² = -15 + (-6)²
⇒ x²- 12x + 36 = -15 + 36
⇒ (x - 6)2 = 21
Taking square root on both sides
⇒x - 6 = ± √21
⇒x - 6 = √21 and x - 6 = - √21
⇒x = (6 + √21 ) and x = (6 - √21)
Learn more about quadratic equations here:-https://brainly.com/question/1214333
#SPJ2
The opposite of the opposite of 28, or -(-28), is equivalent to which of the following?
-28
28
0
Answer:
28
Step-by-step explanation:
opposite of the opposite of 28
- (-28)
A negative of a negative is a positive
+28
Answer:
28 is the answer from the 3 choices
Sloane believes there is a correlation between the number of texts sent in class and GPA. She collected data and found that the line of best fit for the data can be modeled by the equation y = 4.0 − 0.5x.
Identify and interpret the slope in this scenario.
a. The slope is −4.0. Starting at 0.5, the GPA will decrease by 4.0 for every text sent in class.
b. The slope is −0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class.
c. The slope is 4.0. Starting at 0.5, the GPA will increase by 4.0 for every text sent in class.
d. The slope is 0.5. Starting at 4.0, the GPA will increase by 0.5 for every text sent in class.
Answer: b. The slope is -0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class.
Step-by-step explanation:
We know that the equation of a line in intercept form is given by :-
[tex]y=mx+c[/tex], where m is the slope and c is the y-intercept. (i)
Given : Sloane believes there is a correlation between the number of texts sent in class and GPA. She collected data and found that the line of best fit for the data can be modeled by the equation :-
[tex]y = 4.0-0.5x[/tex]
When we compare it to (i), we get
m=-0.5 and c=4.0
It means the slope is -0.5 and the function is starting at 4.0 and the GPA will decrease by 0.5 for every text sent in class (since its negative).
The correct option is B which is ''The slope is −0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class''.
Given
The data can be modeled by the equation;
[tex]\rm y = 4.0 - 0.5x[/tex]
How to determine the slope of the line?The standard form of the linear equation is;
[tex]\rm y = mx+c[/tex]
Where m is the slope of the equation and c is the intercept.
On comparing the given equation with the standard equation;
[tex]\rm y = 4.0 - 0.5x\\\\y = -0.5x+4.0[/tex]
The slope of the line m is -0.5 and intercept c is 4.0.
Hence, the slope is −0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class.
To know more about Slope click the link given below.
https://brainly.com/question/2514839
The line graph shows the number of members during the first few months of a photography club. Describe the data. Then predict the number of members for the sixth month.
Thus, based on the observed pattern and the linear model, we can expect the Photography Club to have 13 members in the sixth month.
Based on the updated coordinate points provided for the graph, which are (1,4), (2,5), (3,7), (4,9), and (5,11), we can describe the data and predict the number of members for the sixth month as follows:
1. Describe the Data:
- At month 1, there are 4 members.
- At month 2, there is an increase to 5 members.
- At month 3, there are 7 members.
- At month 4, there are 9 members.
- At month 5, there are 11 members.
2. Identify the Pattern:
- From month 1 to 2, the increase is 1 member.
- From month 2 to 3, the increase is 2 members.
- From month 3 to 4, the increase is 2 members.
- From month 4 to 5, the increase is 2 members.
3. Predict the Number of Members for the Sixth Month:
- We observe that after the first month, the number of members increases by 2 each month.
- Assuming the pattern continues, we can predict that in the sixth month, the number of members will increase by 2 from the fifth month.
Therefore, the predicted number of members for the sixth month would be:
[tex]\[ 11 \text{ members at month 5} + 2 \text{ increase} = 13 \text{ members at month 6} \][/tex]
We can plot the provided data points and extend the line to the sixth month to visually confirm our prediction. Let's do that.
The linear model fitted to the given data points predicts approximately 12.6 members for the sixth month. Since the number of members must be a whole number, we can round this to 13 members.
what is the product of 2x(x-4)
Answer:
2x^2 -8x
Step-by-step explanation:
2x(x-4)
Distribute the 2x
2x*x -2x*4
2x^2 -8x
If a shape is a regular pentagon with five sides, which of the following must be
true?
Check all that apply
A. It has exactly one line of symmetry.
B. It has reflectional symmetry
C. It has five lines of symmetry.
D. It is symmetrical
Answer:
its all of them except for A cuz i got it wrong with the other answer.
Step-by-step explanation:
A regular pentagon is a polygon that has 5 equal sides as well as 5 lines of symmetry.
What is a pentagon?A pentagon is a polygon that has five sides and five angles. A regular pentagon is a pentagon in which all the sides are equal. A line of symmetry is a line that cuts a shape exactly in half.
A regular pentagon is a polygon that has 5 equal sides as well as 5 lines of symmetry.
Find out more on pentagon at: https://brainly.com/question/21475963
Which set of fractions is ordered from greatest to least?
A
two over three, three over eight, five over twelve
B
five over twelve, three over eight, two over three
C
two over three, five over twelve, three over eight
D
three over eight, two over three, five over twelve
Answer:
That would be C.
Step-by-step explanation:
Hope this helps!
The set of fractions {2/3, 5/12, 3/8} is ordered from greatest to least. which is the correct answer would be an option (C).
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What is descending order?Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.
What is ascending order?Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.
According to option (C),
two over three, five over twelve, three over eight
2/3, 5/12, 3/8
⇒ 2/3 < 5/12 <3/8
Therefore, the set of fractions is ordered from greatest to least.
Learn more about the descending order here:
brainly.com/question/233644
#SPJ2
Find the missing side of the triangle.
Answer:
x=1
Step-by-step explanation:
Since you know two sides and are trying to find the missing side, you can use the Pythagorean Theorem. So fashion the equation like this:
x^2 + 3^2 = sqrt10^2. After simplify, which leads to x^2 + 9 =10. Then have the variable to one side by subtracting 9 on both sides. This leads to x^2=1. Finally, square root both sides which leads to 1. Note that any root of 1 is 1. So your answer becomes x=1.
Hope this helps!
What is the appropriate measurement for the weight of an African elephant?
Answer:
The average weight of African elephant is about 2 .5 to 7 tons or we can say that 1800 kg to 6300 kg.
Weight of females are about 3 to 4 tons .On the other hand weight of males are about 2.5 to 7 tons.
African element can live up to 70 years but on the other hand the life of Asian
elephants up to 60 years.
The appropriate measurement for the weight of an African elephant is between 2,268 to 6,350 kg. Male elephants can grow significantly larger than the female elephants.
Further explanation
African elephants are the largest land animals in the world. They are larger than the Asian elephant. The average weight of the African elephants is between 2,268 to 6,350 kg, the trunk alone can weigh as much as 140 kg and they can grow between 2.5 to 4 m in height.
On the other hand, the Asian elephant's weight is between 2000 to 5000 kg. African elephants are famous for their large ears, that help them to stay cool in hot African weather. Both male and female African elephant has ivory tusks, but the male's tusk is longer and heavier than the female's.
Elephants are herbivores. It means they only eat grasses, herbs, fruits, plants, and trees. African elephants can eat 150 kg of food a day. An elephant’s brain can weigh as much as 4-6 kg, they are famous as intelligent creatures. There are two kinds of African elephants which are the Savanna elephant and the Forest elephant. Savanna elephants are larger than forest elephants.
Learn more
Ancestors of elephant https://brainly.com/question/1407233
African savannah elephant https://brainly.com/question/6778896
African elephant https://brainly.com/question/1800460
Keywords: African elephant, Asian elephant, the average weight of an elephant
Given: △PST, m∠S=90°, M∈PT,
PM≅MT, MK⊥PT, m∠SPK
m∠KPM = 5/2
Find: m∠P, m∠T, m∠SKP, and m∠MKT
Answer:
m∠P = 70°, m∠T = 20°, m∠SKP = 40° , and m∠MKT = 70°
Step-by-step explanation:
* Lets explain how to solve the problem
- In Δ PST
∵ m∠S = 90°
∴ m∠T + m∠P = 90° ⇒ interior angles of a triangle
∵ m∠SPK/m∠KPT = 5/2
- The ratio between the two angles are 5 : 2 , multiply the parts of the
ratio by x, where x is a real number
∴ m∠SPK = 5x
∴ m∠KPT = 2x
∵ m∠SPK + m∠KPT = m∠P
∴ m∠P = 5x + 2x = 7x
- In ΔPKT
∵ KM ⊥ PT
∵ MP = Mt
∴ KM is perpendicular bisector of PT
∴ ΔPKT is an isosceles triangle with KP = KT
∵ KP = KT
∴ m∠KPT = m∠T
∵ m∠KPT = 2x
∴ m∠T = 2x
∵ m∠T + m∠P = 90°
∵ m∠P = 7x
∵ m∠T = 2x
∴ 2x + 7x = 90 ⇒ solve for x
∴ 9x = 90 ⇒ divide both sides by 9
∴ x = 10
∵ m∠P = 7x
∴ m∠P = 7(10) = 70°
∴ m∠P = 70°
∵ m∠T = 2x
∴ m∠T = 2(10) = 20°
∴ m∠T = 20°
- In ΔSKP
∵ m∠S = 90°
∵ m∠SPK = 5x = 5(10) = 50°
∴ m∠SKP = 180° - (90° + 50°) = 180° - 140° = 40° ⇒ interior angles of a Δ
∴ m∠SKP = 40°
- In Δ KMT
∵ m∠KMT = 90°
∵ m∠T = 20°
∴ m∠MKT = 180° - (90° + 20°) = 180° - 110° = 70° ⇒ interior angles of a Δ
∴ m∠MKT = 70°
What is the measure of <7?
Answer:
120
Step-by-step explanation:
<2 = 120 degrees
<3 = <2 vertical angles
Assuming b is parallel to c
<3 = <6 alternate interior angles
<6 = <7 vertical angles
<2 = <7 =120
Brianna is twice as old as James . David is four times as old as James. Brianna is 20 years younger than David. How old is David?
Answer:
David might be 40
Step-by-step explanation:
Brianna = 20 + 20 = 40 = David
James = 10 x 2 = Brianna
David = 40 - 20 = Brianna
To find David's age, we can use the given information and algebraic equations. We can determine James' age, which is x, and use it to calculate David's age as 4x. Thus, David is 40 years old.
Explanation:To find the age of David, we need to first determine the age of James. Let's assume James is x years old.
According to the given information, Brianna is twice as old as James, so Brianna's age would be 2x years.
Similarly, David is four times as old as James, so David's age would be 4x years.
Finally, we're told that Brianna is 20 years younger than David. So, the equation would be: 2x = 4x - 20.
To solve this equation, we can subtract 2x from both sides, which gives us: -2x = -20. Then, dividing both sides by -2, we get x = 10. Therefore, James is 10 years old and David is 4x = 4 * 10 = 40 years old.
Learn more about A student is asking for help with determining the age of David based on information about the ages of Brianna and James. here:https://brainly.com/question/35552705
#SPJ11
help please its URGENT!!!!!!!!
This is a relation but not a function.
Functions must have that there is a unique y for a given x, which clearly doesn't work here because all lines of a given x have 2 y-values. However, it is a relation because there is a given set of points which are defined to be within the set of the ellipse (if it's defined which members of two sets, the range and domain, go together, then you have a relation)
iam thinking its D but iam not 100% sure.
A roller coaster carries riders up a ramp that is 39 meters long. This ramp
forms a right triangle with the ground and a vertical support beam. What is
the height of the support beam?
Support
Roller coaster 9
Ground
15 m
OOOO
A. 36 m
24 m
C. 42 m
D. 54 m
Answer:
A. 36
Step-by-step explanation:
By using hypotenuse theorem we can find the height of the support.
In hypotenuse we square both the given measures, then subtract them. if slant measure is given we subtract the square of the other side from the square of the slant and find the square root of the result. if we have to find the slope, then we add the squares of the 2 given sides and find the square root of the result.
so, in this case:
(39×39) - (15×15)
=1521 - 225
=1296
= square root of 1296
= 36
Hope it helps u ....
Let’s say your choosing between two cell phone plans. Plan A has a flat fee of $30 and charges $0.05 cent per minute. Plan B has a flat fee of $20 and charges $0.10 per minute. How many minutes, x ,will it take for the two plans to cost the same?
Answer:
x=200 Minutes
Step-by-step explanation:
Using the given information, we can set up slope equations for each set of numbers. Plan A has an equation of y=.05x+30. Plan B has an equation of y=.1x+20. These plans both equal y, so they can be made equal to each other. This looks like .05x+30=.1x+20. Subtract 20 from each side to aid in getting x by itself. This will look like .05x+10=.1x. Subtract .05x from each side to get all the x's to one side. This looks like .05x=10. Divide by .05 to get x. 10/.05=200. This shows how many minutes it takes for the plans to cost the same.
What is the value of the expression below?
(5^1/2)^2
The value of the expression (5^1/2)^2 is 5.
Explanation:The value of the expression (51/2)2 can be found by simplifying the expression inside the parentheses first.
When you raise a number to a fractional power, you are taking the square root of that number.
So, 51/2 is equal to the square root of 5.
Applying this to the given expression, (51/2)2 is equal to (√5)2.
When you square a square root, the result is the number inside the square root.
Therefore, the value of the expression is 5.
Learn more about Value of expression here:https://brainly.com/question/37755401
#SPJ12
Complete the recursive formula of the arithmetic sequence 14, 30, 46, 62, ....
d(1) =
d(n) = din - 1)+
Answer:
They are adding 16 to the number each time. So the next number in the sequence would be 78.
Step-by-step explanation:
d(1) = 14
d(n) = d (n-1) + 16
14 + 16 = 30
30 + 16 = 46
46 + 16 = 62
62 + 16 = 78 and so on...
The recursive formula of the arithmetic sequence is [tex]d_{n}=d_{n-1} +16[/tex].
What is recursive formula?A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
The recursive formula of an arithmetic sequence is, [tex]a_{n}=a_{n-1} +d[/tex]
From the question
14, 30, 46, 62, .......
d = [tex]62-46 =46-30=30-14=16[/tex]
d = 16
As per sequence
d(1) = 14
[tex]d_{n}-d_{n-1} =d=16[/tex]
[tex]d_{n}=d_{n-1} +16[/tex]
The recursive formula of the arithmetic sequence is [tex]d_{n}=d_{n-1} +16[/tex].
Find out more information about recursive formula here
https://brainly.com/question/8972906
#SPJ2
Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 8, ST = 12, TU = 15, UV = 9, and VR = 12?
Answer:
The value of x is 7 ⇒ 1st answer
Step-by-step explanation:
* Lets revise a fact in the circle
- The two tangents drawn from a point out side the circle are equal
∵ RSTUV is circumscribed about a circle
∴ Each side of the pentagon is a tangent to the circle
- Look to the attached figure to know how we will solve the problem
- Each tangent divided into two parts
# RS = x + y
∵ RS = 8
∴ x + y = 8 ⇒ (1)
# RV = x + n
∵ RV = 12
∴ x + n = 12 ⇒ (2)
- Subtract (2) from (1)
∴ y - n = -4 ⇒ (3)
# ST = y + z
∵ ST = 12
∴ y + z = 12 ⇒ (4)
# TU = z + m
∵ TU = 15
∴ z + m = 15 ⇒ (5)
- Subtract (5) from (4)
∴ y - m = -3 ⇒ (6)
# UV = m + n
∵ UV = 9
∴ m + n = 9 ⇒ (7)
- Add (6) and (7)
∴ y + n = 6 ⇒ (8)
- Lets solve equation (3) and equation (8) to find y
∵ y - n = -4 ⇒ (3)
∵ y + n = 6 ⇒ (8)
- Add (3) and (8)
∴ 2y = 2 ⇒ divide two sises by 2
∴ y = 1
- Lets substitute the value of y in equation (1)
∵ x + y = 8 ⇒ (1)
∵ y = 1
∴ x + 1 = 8 ⇒ subtract (1) from both sides
∴ x = 7
* The value of x is 7
What is the domain of f(x)?
Answer:
A
Step-by-step explanation:
The surface area of a sphere having a diameter of 8 inches is
The surface area of a sphere that is 8 inches is 201.06in²
Answer:
64 π inches^2 or 201.06 inches^2 to the nearest hundredth.
Step-by-step explanation:
The radius = 1/2 * the diameter
= 1/2 * 8
= 4 inches.
The surface area = 4 π r^2
4 π 4^2
= 64 π inches^2
or 201.06 inches^2 to the nearest hundredth.
The graph for the equation y=-x+2 is shown. If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?
A. y=-2(x-1)
B. y=-(x+2)
C. y=-1/4(4x-8)
D. y=-1/2(x+4)
Answer:
C
Step-by-step explanation:
Note that C is exactly -1/4(4x-8) = -1/4*4x -1/4*(-8) = -x+2, so the system with C is the same equation twice, and obviously has an infinite number of solutions.
Identify the graph and describe the solution set of this system of inequalities. Y<-3x-2 y>-3x+8
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y < -3x-2 -----> inequality A
The solution of the inequality A is the shaded area below the dashed line y=-3x-2
The slope of the dashed line is negative m=-3
The-y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (-0.67,0)
y > -3x+8 -----> inequality B
The solution of the inequality B is the shaded area above the dashed line y=-3x+8
The slope of the dashed line is negative m=-3
The-y-intercept of the dashed line is (0,8)
The x-intercept of the dashed line is (2.67,0)
using a graphing tool
The system of inequalities y < -3x-2 and y > -3x+8 has no solution (parallel lines)
see the attached figure
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation-1/2x+3=4-1/4x
Answer:
[tex]-\frac{1}{4} x=1[/tex]
Step-by-step explanation:
To isolate your terms, start by combining your x terms by adding 1/4x to both sides.
[tex]-\frac{1}{2} x+3=4-\frac{1}{4} x\\-\frac{1}{4} x+3=4[/tex]
Next, combine your constant terms by subtracting 3 from both sides.
[tex]-\frac{1}{4} x=1[/tex]
To isolate the variable terms on one side and the constant terms on the other side, follow these steps: subtract the variable terms and add the constant terms, then move the variable terms to one side and the constant terms to the other side.
Explanation:To isolate the variable terms on one side and the constant terms on the other side for the equation -1/2x+3=4-1/4x, you can follow these steps:
First, move all the variable terms to one side by subtracting -1/2x and adding 1/4x to both sides. This gives you 3+1/4x = 4+1/2x.Next, move all the constant terms to the other side by subtracting 3 from both sides. This gives you 1/4x = 1/2x+1.Finally, move all the variable terms to the left side by subtracting 1/2x from both sides. This gives you the desired equation of 1/4x-1/2x = 1.Learn more about isolating variable and constant terms here:https://brainly.com/question/13677025
#SPJ3
An equation is shown below: 2(3x − 5) = 1 Which of the following correctly shows the first two steps to solve this equation? Step 1: 6x − 10 = 1; Step 2: 6x = 11 Step 1: 6x − 5 = 1; Step 2: 6x = 6 Step 1: 5x − 3 = 1; Step 2: 5x = 4 Step 1: 5x − 7 = 1; Step 2: 5x = 8
Answer:
A: Step 1: 6x − 10 = 1; Step 2: 6x = 11
Step-by-step explanation:
First: remove parentheses by multiplying factors.
6x - 10 = 1
Second: Move the constants to the right side of the equation
6x = 1 + 10
6x = 11
Answer: The correct answer is "Step 1: 6x − 10 = 1; Step 2: 6x = 11"
Step-by-step explanation:
Find an equation for the line perpendicular to y=−1/7x+2 with x-intercept at x = -7.
Write your answer in the form y=mx+b.
y=
Answer:
[tex]y=7x+49[/tex]
Step-by-step explanation:
To find the slope of a line which is perpendicular to another line, you need to find the opposite reciprocal of the first line's slope.
To find the opposite, flip the slope's sign. Your original slope is [tex]-\frac{1}{7}[/tex], so your opposite slope is positive [tex]\frac{1}{7}[/tex].
To find the reciprocal, flip the fraction. This changes your slope from [tex]\frac{1}{7}[/tex] to [tex]\frac{7}{1}[/tex], which may be written as just 7.
Therefore, your slope is 7.
To find your b term (your y-intercept) given that your x-intercept is -7, you can make use of point-slope form.
[tex]y-y1=m(x-x1)[/tex]
(m=slope)
If your x-intercept is -7, then the point at which your line intersects the x-axis is (-7, 0).
[tex]y-0=7(x-(-7))\\y=7(x+7)\\y=7x+49[/tex]
The quotient of 20 and 3 more than x is 4. Find x.
Answer:
x=2
Step-by-step explanation:
Quotient means division
20/(x+3) =4
Multiply each side by (x+3)
(x+3)*20/(x+3) =4(x+3)
20 = 4(x+3)
Divide each side by 4
20/4 = 4(x+3)/4
5 = x+3
Subtract 3 from each side
5-3 = x+3-3
2 =x
Given the parent function f(x)= log10^x and g(x)= 5x-2, what is f(x) • g(x)?
Answer:
[tex]5x \log_{10}(x)-2 \log_{10}(x)[/tex]
(If that closed circle is an open circle, please let me know because that means something totally different)
Step-by-step explanation:
I think you are given:
[tex]f(x)=\log_{10}(x) \text{ and } g(x)=5x-2[/tex]
and that you are asked to find:
[tex]f(x) \cdot g(x)[/tex]
That operation means multiplication. (Let me know if is an open circle because that means something difference).
[tex]f(x) \cdot g(x)[/tex]
[tex](\log_{10}(x) \cdot (5x-2)[/tex]
Distribute:
[tex]\log_{10}(x)(5x)-\log_{10}(x)(2)[/tex]
Reorder a little (commutative property):
[tex]5x \log_{10}(x)-2 \log_{10}(x)[/tex]
Answer:
f(x) ⋅ g(x) = log10x^(5x − 2)
Step-by-step explanation:
What is the equation of a line which passes through points (-5,2) and (4,-1)
Answer:
[tex]\large\boxed{y=-\dfrac{1}{3}x+\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
===========================================
We have the points (-5, 2) and (4, -1). Substitute:
[tex]m=\dfrac{-1-2}{4-(-5)}=\dfrac{-3}{9}=-\dfrac{1}{3}[/tex]
Put the value of the slope and the coordinates of the point (-5, 2) to the equation of a line:
[tex]2=-\dfrac{1}{3}(-5)+b[/tex]
[tex]2=\dfrac{5}{3}+b[/tex] subtract 5/3 from both sides
[tex]\dfrac{1}{3}=b\to b=\dfrac{1}{3}[/tex]
Finally:
[tex]y=-\dfrac{1}{3}x+\dfrac{1}{3}[/tex]
Three ways to make 26
Answer:
13 times 2
52 divided by 2
20 plus 6
Step-by-step explanation:
Factor the polynomial expression 27x3−8 27 x 3 − 8 .
Answer:
(3x-2) (9x^2 + 6x +4)
Step-by-step explanation:
27x^3−8
This is the difference of cubes
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
a^3 =27x^3 so a = 3x
b^3 =8 so b=2
a^2 = (3x)^2 = 9x^2 ab = (3x)*2 = 6x b^2 = 2^2 =4
27x^3 -8 = (3x-2) (9x^2 + 6x +4)