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Answers

Answer 1
Answer: standard form is ax+by=c so
y=-2/3x+4
add 2/3x to both sides
2/3x+y=4
make whole numbers for niceness
multipily by 3 to clear fraction
2x+3y=12

answer is second one
Answer 2
Answer: We know that the standard form is
ax + by = c
So, let's solve this problem to get correct answer
y = -2/3x + 4 { multiplying each term by 3 }
3y = -2x + 12  { according to the standard form equation our x variable should be on other side so let move that} { adding 2x on both sides }
2x + 3y =  12 
 Hence the correct option is B.

If you want to check your answer resolve your answer and see if you get the same quotient.
2x + 3y = 12
3y = -2x + 12 { subtracting both sides by -2x }
y = -2/3x + 12/3 {dividing both sides by 3 } 
y = -2/3x + 4 { same as the quotient }

Hence proved.


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What is the LCM of the numbers 3, 6, and 9?A.
9
B.
18
C.
36
D.
54

Answers

the LCM is option B. 18

Answer:

The LCM of the numbers 3, 6, and 9, is 18.

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

125 invitations to 75 invitation

Answers

Answer:

The complete question is

Find the percent of change. Round to the nearest tenth if necessary.

25 points to 50 points .

Notice that this change is an increase, to fint the percetange of change, we just need to divide and then multiply by 100 to have it in percetange expression:

(50)/(25) * 100=2 * 100 = 200\%

So, the percentage of change is 100%, because the change is 25, that was the increase.

125 invitations to 75 invitations .

(75)/(125) * 100 = 60\%

Which means 75 invitations represents 60% of the old number of invitations.

So, the percentage of change is 40%, because that's the percentage of the difference.

32 pages to 28 pages .

You can do another process, first find the difference:

32-28=4

Then, you divide:

(4)/(32) * 100= 12.5 \%

So, the percentage of change is 12.5%.

7 players to 10 players.

10-7=3\n(3)/(7) * 100=0.43 = 43\%

So, the percentage of change is around 43%.

A certain committee consists of 17 people. From the committee, a president, a vice-president, and a treasurer are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.

Answers

There are 4080 ways in which these 3 offices be filled.

Step-by-step explanation:

Here, the total number of candidates present in the committee  = 17

The posts for which people are to be elected are:

President, Vice -President and Treasurer  = 3 posts

Now, selecting a person for the post of president has total 17 ways.

⇒ The number of ways a president can be chosen = 17 ways

As, one person cannot hold 2 positions.

So, now the total candidates  = 17 - 1  = 16 people

⇒Selecting a person for the post of Vice -President has total 16 ways.

⇒ The number of ways a vice president can be chosen = 16 ways

Similarly, the number of ways a  Treasurer can be chosen = 15 ways

Combining the three ways, we get:

the number of ways President, Vice -President and Treasurer can be chosen   = 17 x 16 x 15  =  4080 ways

Hence, there are 4080 ways in which these 3 offices be filled.

Use the following table of the function f(x) = x4 − 4x to answer this question: x f(x)
-2 24
-1 5
0 0
1 -3
2 8
What is the average rate of change from x = −1 to x = 2?
A. −3
B. −1
C. 1
D. 3

Answers

we have

f(x)=x^(4)-4x

Step 1

Using the table find the value of f(x) for x=-1

x=-1\nf(-1)=5

Step 2

Using the table find the value of f(x) for x=2

x=2\nf(2)=8

Step 3

Find the average rate of change

we know that

the average rate of change is equal to the formula

(f(b)-f(a))/(b-a)

in this problem we have

f(b)=f(2)=8

f(a)=f(-1)=5

b=2

a=-1

substitute the values in the formula

(8-5)/(2+1)

(3)/(3)=1

therefore

the answer is the option C

the average rate of change is 1


A(x) = (f(x) - f(a))/(x - a) = (f(-1) - f(2))/(-1 - 2) = (5 - 8)/(-3) = (-3)/(-3) = 1
The answer is C.

Find the value of x

Answers

Answer:

x = 3.5

Step-by-step explanation:

Find f^(-1) (-2) =

Answers

Answer:

f(2) = - 2

{f}^( - 1) ( - 2) = 2