Factorise fully
9x^2+3x^3

Answers

Answer 1
Answer:

Here, we are required to factorise fully 9x² + 3x³

  • The answer is 3x²(3+x)

To factorise the expression 9x² + 3x² fully; we first need to write out factors of 9x² and 3x³ respectively. Thus;

  • Factors of 9x² are: 3 × 3 × x²

  • Factors of 3x³ are:3 × x² × x

Since 3x² is a common factor for 9x² and 3x³,

3x² can be factored out so that we have the result of the factorization to be;

3x²(3+x)

as "3" and "x" are the remaining factors of 9x² and 3x³ respectively.

Read more:

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Answer 2
Answer:

Answer:

3x^2(3+x)

Step-by-step explanation:

9x^2+3x^3

3(3x^2+x^3)

3x^2(3+x)


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Two stores have movies to rent.The first store charges a $20 per-month membership fee plus $1.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.

How many movies would you have to rent in order for the cost to be the same at both stores?

Answers

Answer: 6 movies

Step-by-step explanation:

$20+$1.50= $21.50

$3.50x6= $21

Which of the two functions below has the smallest minimum y-value?f(x) = x4 - 2
g(x) = 3x3 + 2

Answers

Answer:

out of the two functions g(x) attains the minimum y-value.

Step-by-step explanation:

We are given the function f(x)=x^4-2 and g(x)=3x^3+2.

now we have two check out of the two functions above which has the smallest minimum y-value.

Clearly from the graph attached to the solution of f(x) and g(x), we could see that for f(x) the minimum value of y is -2 while for g(x) the value of y goes on decreasing as x goes to minus infinity.

Hence g(x) attains the minimum value for y.

For triangle TRI the following facts are given:Segment AN is perpendicular to segment RI
AN = 6 cm
RI = 8 cm
TA = 3.3 cm
NI = 1.6 cm

In two column format prove that triangle TAN is congruent to triangle TRI

Answers

we can see that the two triangles share an angle and all their sides are parallel, thus by Tales theorem, they are in Tales position, which proves that they are congruent.

we can see from figure that:
call x and y the unknown segments TA and TN, then we have:

3.3/(3.3 + x) = 6/8

8*3.3 = 6(3.3 + x)
x = 1.1

and then the proportion still holds for those sides as well as AN and RI

we also have:
y/(y + 1.6) = 6/8
8y = 6y + 9.6

y = 4.8

and then the proportion still holds for those sides as well as AN and RI

Determine whether the sequence coverage or diverges. If it converges, give the limit. 48, 8, 4/3, 2/9, ...

Answers

(I'll learn limits next year)
The function converges to 0.

HELPP PLEASEEEEEE!!!!!

Answers

I don’t see a side unlabeled...

Answer:

B. 6 cm

Step-by-step explanation:

If 7 coats cost 87.50 how much does 10 cost

Answers

Answer:

$125

Step-by-step explanation:

To find how much 1 coat costs we will divided 87.50/7. That equals 12.5. Which means that 1 coat costs 12.5. From there just multiply by 10. Which gets you $125

125 i say is the right answer