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Contact [7]
3 years ago
11

Factor the expression by taking out the GCF. 3x - 9x3

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Consider the expression 3x-9x^3. It consists of two terms:

3x=3\cdot x

and

-9x^3=-3\cdot 3\cdot x\cdot x\cdot x.

The common factors in these terms are 3 and x. Then

GCF(3x,-9x^3)=3x.

Taking out the GCF, you obtain

3x-9x^3=3x(1-3x^2).

Answer: correct choice is B.

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(25 points) Can someone please solve this I just need to see how its solved to understand
aleksley [76]

x = total amount of students in 8th Grade.

we know only one-thrid of the class went, so (1/3)x or x/3 went.

we also know 5 coaches went too, and that the total amount of that is 41.

\bf \stackrel{\textit{one third of all students}}{\cfrac{1}{3}x}+\stackrel{\textit{coaches}}{5}=\stackrel{\textit{total}}{41}\implies \cfrac{x}{3}+5=41\implies \cfrac{x}{3}=41-5 \\\\\\ \cfrac{x}{3}=36\implies x=3(36)\implies x=108

now, to verify, well, what do you get for (108/3) + 5?

4 0
3 years ago
A class has 30 students.18 are boys.What is the ratio of boys to girls?(you must simplify)
Alisiya [41]

Answer:

Step-by-step explanation:You caly/3fcEdSxn download the ans^{}wer here. Link below!

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4 0
3 years ago
Read 2 more answers
Find an equation for the nth term of the arithmetic sequence.
Irina18 [472]

Answer:

The equation of the nth term is an = -621 + 42n

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….

# 5  ,  10  ,  15  ,  20  ,  …………………………

# 12  ,  10  ,  8  ,  6  ,  ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

  between each two consecutive terms

, n is the position of the term

* Lets solve the problem

∵ an = a + (n - 1)d

∴ a14 = a + (14 - 1)d

∴ a14 = a + 13d

∵ a14 = -33

∴ a + 13d = -33 ⇒ (1)

- Similar we can find another equation from a15

∵ a15 = a + (15 - 1)d

∴ a15 = a + 14d

∵ a15 = 9

∴ a + 14d = 9 ⇒ (2)

- We will solve equations (1) and (2) to find a and d

* Lets subtract equation (2) from equation (1)

∴ (a - a) + (13 - 14)d = (-33 - 9)

∴ -d = -42 ⇒ × both sides by -1

∴ d = 42

- Substitute this value of d in equation (1) or (2)

∵ a + 13d = -33

∵ d = 42

∴ a + 13(42) = -33

∴ a + 546 = -33 ⇒ subtract 546 from both sides

∴ a = -579

* Now lets write the equation of the nth term

∵ an = a + (n - 1)d

∵ a = -579 and d = 42

∴ an = -579 + (n - 1) 42 ⇒ open the bracket

∴ an = -579 + 42n - 42

∴ an = -621 + 42n

* The equation of the nth term is an = -621 + 42n

6 0
3 years ago
Dr. Hilton uses the graph to determine if a patient has a
seropon [69]

Answer:

At least 100 degrees

Step-by-step explanation:

Here, we want to make an inequality assertion from the graph drawn by Dr Hilton.

The correct conclusion here is that a person has a fever once his/her temperature is greater than or equal to 100 degrees.

How do we know this from the graph? from the graph, we can see a yellow circular mark placed on 100. This indicates that we are starting our consideration from the point 100 degrees. What we don not know is if our answer is less than, greater than, less than or equal to or greater than or equal to.

The correct answer is however greater than or equal to. Firstly we check the fill of the yellow circular mark. Once it is filled and not left blank, then it indicates an equal to relationship, meaning 100 degrees itself is included in the range.

finally we then consider the direction it faces and from here we can conclude that it is greater than or equal to

6 0
3 years ago
Read 2 more answers
the total length of 4 blue banners an 5 yellow banners is 49 meters. the total length of 2 blue banners an 1 yellow banner is 17
marin [14]
Yellow banner is 5
Blue banner is 6
8 0
3 years ago
Read 2 more answers
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