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UkoKoshka [18]
3 years ago
13

What is the factored form of x^3-1

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

the factors of x^3-1 are x^3 -1 = (x-1) (x^2 +x+1)\\

Step-by-step explanation:

We need to find factors of x^3 -1

x^3-1 \\(x)^3 -(1)^3\\We \,\, know\,\, a^3 -b^3 = (a-b) (a^2 +ab + y^2) \\So, \,\, using\,\, the \,\, formula\,\,\\Here\,\, a= x \,\,and\,\, b= 1\\(x)^3 -(1)^3 = (x-1) (x^2 +x+1)\\

So, the factors of x^3-1 are x^3 -1 = (x-1) (x^2 +x+1)\\

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A carrot has 55 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?
GREYUIT [131]
For an equal number of servings, the bananas will have three times as much sugar.

To put it in perspective:
When we have one serving of each fruit, the carrot will give you 5 grams of sugar whereas banana will give you 15 grams. 

Hope this helps!
7 0
3 years ago
Write an inequality for people younger than 8 get in for $45
Tema [17]

Answer:

8 ≤ $45

Step-by-step explanation:

Given:

People younger than 8 get in for $45.

Now we can assume that the cost given might be to enter in the garden or might be in fair or might be at museum or might be at a zoo which is $45 for people which are younger than 8.

Now we can say for people younger than 8 means people or children who are of 8 years or who are below 8 years or say less than 8 years.

Hence we can say people who are less than or equal to 8 get in for $45

So the inequality equation becomes.

8 ≤ $45

6 0
2 years ago
A motor scooter travels 14 mi in the same that a bicycle covers 5 mi. If the rate of the scooter is 4mph more than twice the rat
nignag [31]
We observe that 14 is 4 more than twice 5.

The scooter's rate is 14 mph.
The bicycle's rate is 5 mph.
_____
time = distance/rate
14/(2b +4) = 5/b . . . . . . let b represent the bicycle's speed in mi/h
14b = 10b +20 . . . . . . . .cross multiply
4b = 20 . . . . . . . . . . . . . subtract 10b
b = 5 . . . . . . . . . . . . . . . divide by 4. Same answer as above.
8 0
3 years ago
How who I complete the table?
Natalka [10]

Answer:

6

7

8

10

Step-by-step explanation:

you have to remove // to calculate

5 0
3 years ago
Dan's school is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets
VashaNatasha [74]

Answer:

Let's define the variables:

A = price of one adult ticket.

S = price of one student ticket.

We know that:

"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."

1*A + 6*S = $69

"The school took in $150 on the second day by selling 7 adult tickets and student tickets"

7*A + 7*S = $150

Then we have a system of equations:

A + 6*S = $69

7*A + 7*S = $150.

To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:

A = $69 - 6*S

Now let's replace this in the other equation:

7*($69 - 6*S) + 7*S = $150

Now we can solve this for S.

$483 - 42*S + 7*S = $150

$483 - 35*S = $150

$483 - $150 = 35*S

$333 = 35*S

$333/35 = S

$9.51 = S

That we could round to $9.50

That is the price of one student ticket.

4 0
2 years ago
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