The factored form of (x³ - 1) is option C. (x - 1) (x² + x + 1)
What are Polynomials?Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.
Given is a cubic polynomial expression.
Given is x³ - 1.
We have to factorize it.
x³ - 1 = x³ - 1³
We have the algebraic expression identity that,
a³ - b³ = (a - b) (a² + ab + b²)
Using the expression, we get,
x³ - 1³ = (x - 1) (x² + x + 1²)
= (x - 1) (x² + x + 1)
Hence the correct form is option C.
Learn more about Factorization of Polynomials here :
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According to the U.S.
Census, 76% of U.S. workers commute
to work by driving alone. Write 75% as
a decimal
.75. Simply have to move the decimal place from where the % sign is to the left two times.
Ratios as Ordered Pairs
PLS HELP I WILL GIVE YOU BRAINLIST AND 50 POINTS
Which ordered pairs represent the equivalent ratios in the table? Check all that apply.
(1, 2)
(1, 4)
(2, 8)
(4, 1)
(3, 12)
Answer:
1,4, 2,8, and 3,12 are all equivalent
Plzzzzz give me Brainliest!!!!!
A bakery sells a total of 14 brownies and cookies in one hour. Each brownie costs $2.00, each cookie costs $0.50, and the bakery
makes $19.00.
the contence
COMPLETE THE SENTENCE.
The bakery sells __ brownies.
PLEASE HELPPPPPPPPPPPPP!!!!!!!! 10 POINTS
answer: 58% ?? if I'm wrong I am sorry
Two times a number added to 6 equals 12.
Answer:
2 * 6 = 12
It is true because its saying Two Times the number.
Answer:
The number is 3.
Step-by-step explanation:
2x+6=12
2x+6= 12
-6 -6
2x=6
2x = 6
/2 /2
x=3
Hope the explanation makes sense. Hard to explain while typing.
solve the system of equations
-3y+4x=13
-5y-6x=-67
Answer:
{x,y} = {67/16,-15/4}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] 2y = -8x + 26
[2] y = -4x + 13
// Plug this in for variable y in equation [1]
[1] 4x + 5•(-4x+13) = -2
[1] -16x = -67
// Solve equation [1] for the variable x
[1] 16x = 67
[1] x = 67/16
// By now we know this much :
x = 67/16
y = -4x+13
// Use the x value to solve for y
y = -4(67/16)+13 = -15/4
Select the correct answer.
What is the product of -3 1/3 and -8 7/10?
A. 9/5
B. 2
C. 175/30
D.
29
Answer:
awser 29
Step-by-step explanation:
`22
Answer:29
Step-by-step explanation:
help meeeee! i am really badly stuck
Answer:
173
Step-by-step explanation:
BCE: 79+73=152
180-152=28
EDC: 37+96=133
180-133=47
112+28= 140+47= 187
360-187=173
Answer:
173
Step-by-step explanation:
for triangle EBC:
angleEBC+angleBCE+angleCEB=180
73+79+angleBEC=180
AngleBEC=28
for traingle EDC:
ECD+EDC+CED=180
96+37+CED=180
angleCED=47
for angleAED:
AEB+BEC+CED+AED=360
112+28+47+AED=360
AED=360-187
AED=173
Solve the following equation:
x2 = 64
x = 32
X = 8
x = -8
x = 8 or x = -8
Answer:
X=±8
Step-by-step explanation:
x²=64
x²=8²
X=±✓8²
X=±8
Which number line shows the solution set of the inequality 162 – 15 > 9?
Answer:
147 > 9
Step-by-step explanation:
162 - 15 > 9
147 > 9
you dont have any number lines, but if you add it to your question, i will edit my answer to tell you what one it is...
Hope this Helps!!
The chart below shows how many cups of lemonade Marcia sold each hour she had her lemonade stand set up. To make 10 cups of lemonade, Marcia has to squeeze 3 lemons. How many lemons did Marcia use in the first 4 hours?
Answer:
[tex]123\frac{1}{3}\ cups[/tex]
Step-by-step explanation:
Given
[tex]10\ cups = 3\ lemons[/tex]
See attachment for chart
Required:
Lemons used in first 4 hours
First, we calculate the number of lemon sold in the first 4 hours.
[tex]Lemon = 6 + 5 + 11 + 15[/tex]
[tex]Lemon= 37[/tex]
Represent the number of cups of lemonades needed with x
So, we have:
[tex]x = 37\ lemons[/tex]
and
[tex]10\ cups = 3\ lemons[/tex]
Cross Multiply:
[tex]x * 3 = 10 * 37[/tex]
[tex]3x = 370[/tex]
Make x the subject
[tex]\frac{3x}{3} = \frac{370}{3}[/tex]
[tex]x = \frac{370}{3}[/tex]
[tex]x = 123\frac{1}{3}[/tex] cups
The average cost of a gallon of gasoline increased to $2.99 per gallon from $2.85. Find the percent change.
Answer:
There was a 4.9% increase in gasoline prices.
Step-by-step explanation:
The graph of a linear function passess through the points (3, 19) and (5, 23). Write an equation for the function. Show your work
Answer:
y = 2x +13
Step-by-step explanation:
1. find the slope by using the formula y2-y1
--------
x2-x1
which is
23 - 19 4
------------ = --- = 2
5-3 2
2. finding the y intercept
so to find the y intercept you plug in the numbers to this formula
y-y1 = m (x-x1)
y - 19 = 2 (x -3)
y - 19 = 2x -6
+19 +19
y = 2x +13
Please help!! What is RS?
Answer:
RS = 47Step-by-step explanation:
RV=VU and SW=WT means [tex]VW=\frac{RS+UT}{2}[/tex]
So:
[tex]3x+5=\dfrac{2x+15+6x-37}{2} \\^{\qquad\times2\qquad\qquad\qquad\qquad\times2} \\6x+10=8x-22\\^{\qquad-10\qquad-10}\\6x=8x-32\\^{-8x\qquad-8x}\\-2x=-32\\^{\div(-2)\quad\div(-2)}\\x=16\\\\RS=2x+15=2\times16+15=32+15=47[/tex]
please help me i don't get this and im dum
Answer:
The answer is 1.
Step-by-step explanation:
Which description best fits the graph?
Answer: allways increasing
Step-by-step explanation:
the graph line has arrows on the ends and it looks like it will always be going up
If 18,20,26 are the side lengths of a triangle would the triangle be acute , obtuse or right?
Answer: It would be acute
Step-by-step explanation:
write 144 as a product of it's prime number.
plz faster,
Answer:
12
Step-by-step explanation:
144 divided by 2 72
72 by 2 36
36 by 2 18
18 by 2 9
3by 3 3
3 by3 1
2x2 2x2 2x2 3x3
pick on from each set
2x2x3
12
what is 3x+3(x+y). I need help answering this algebra I question
Answer:
6x + 3y
Step-by-step explanation:
3x + 3x + 3y (use the distributive property)
6x + 3y
what is the perimeter?
Answer:
24
Step-by-step explanation:
Count the outer boxes.
4. Solve the following equation: 9x - 6 +7x = 16x - 6
Answer: the answer is 0=0
Step-by-step explanation:
Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 1/2 cup of servings of punch can they make?
Answer:
it should be 5 and a half
Step-by-step explanation:
Hope this helps
What is the measure of the missing angle?
90°
600
7.
Answer:
30°
Step-by-step explanation:
Let the measure of the missing angle be x°
Therefore, by interior angle sum postulate of a triangle:
x + 60° + 90° = 180°
x + 150° = 180°
x = 180° - 150°
x = 30°
Thus the measure of the missing angle is 30°.
Ten gallons of a 25% salt solution are to be obtained by mixing solutions that are 13% salt and 33% salt
respectively. How many gallons of each are needed?
Answer:
salt + salt = salt
0.13x +3.3-0.33x =2.5
-0.20x=-0.8
x= 4 gallons (amt of 13% solution to be mixed)
10-x= 6 gallons (amt of 33% solution to be mixed)
-----------
Cheers,
Stan H.
Step-by-step explanation:
f(x) = 3x for x = –4
Answer:
Step-by-step explanation:
f(x)=3x+x^4. f(x)=3x+x4 f ( x ) = 3 x + x 4.
The difference between 31 and a number is 7
Answer:
24
Step-by-step explanation:
3+x) 5
Solve it for me, and tell me how to do it EXPLANATION NEEDED
A quadrilateral has two angles that measure 10° and 70°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?
Answer:
The measures of those two angles are 60° and 220°
Step-by-step explanation:
The sum of the measures of the angles of any quadrilateral is 360°Let us solve the question
∵ A quadrilateral has two angles that measure 10° and 70°
→ By using the rule above, subtract their measure from 360
∴ The sum of the other two angles = 360° - 10° - 70°
∴ The sum of the other two angles = 280°
∵ The other two angles are in a ratio of 3: 11
→ Find the sum of the parts of the ratio
∵ The sum of the parts of the ratio = 3 + 11 = 14
∵ The sum of the measures of these 2 angles is 280°
→ By using the ratio method
→ m∠1 : m∠2 : their sum
→ 3 : 11 : 14
→ x : y : 280°
→ By using cross multiplication
∵ x × 14 = 3 × 280
∴ 14x = 840
→ Divide both sides by 14
∴ x = 60
∴ m∠1 = 60°
∵ y x 14 = 11 x 280
∴ 14y = 3080
→ Divide both sides by 14
∴ y = 220
∴ m∠2 = 220°
∴ The measures of those two angles are 60° and 220°
Help! Currently failing! ✌️
15 POINTS!! What is 58% of 18? SHOW YOUR WORK!
Answer:
10.44
this is the answer of this question
Answer:
58 ×18
100
10.44
hope it helps..