In attempting to solve the system of equations y 3x 2 and 6x 2y 4, John graphed the two equations on his calculator. Because he saw only one line, John wrote that the answer to the system is the empty set. Is he correct? Explain your answer.

Answers

Answer 1
Answer: No, he is not correct. The lines are the same, so there are an infinite number of solutions.

When two lines are parallel, then the solution is empty set.

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Which of the following shows the sum of the polynomials −3x2+3y2+4x and 4x2−4y+2? A. −3x2+3y2+4x+4x2−4y+2 B. −x2+3y2+4x−4y+2 C. x2+3y2+4x−4y+2 D. 7x2+3y2+4x+4x2−4y+2
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The line plot shows the number of weeks that songs have been on the top 20 Country Songs list. Would the mean, median, mode, or range best represent the data? Explain.

Answers

The mode would be the best way to represent the data because it shows how many times it has shown up on the list.

I agree with choosing the mode


-3.1x+7-7.4x=1.5x+6(x-3/2

Answers

Answer:

x=8/9

Step-by-step explanation:

-3.1x+7-7.4x=1.5x+6(x-3/2)

-3.1x-7.4x+7=1.5x+6x-9

-10.5x-1.5x-6x=-9-7

-18x=-16

18x=16

x=16/18

simplify

x=8/9

4²+5[61-(5×6)] what's the answer for this

Answers

In this question we can see that there are different type of brackets used. Also there is multiplication addition and subtraction. So we need to follow the BODMAS rule.
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now let us focus on the problem in hand.
4^2 + 5[ 61 - (5 * 6)] = (4)^2 + 5[ 61 - (30)]
                                 = (4)^2 + 5[ 61 - 30]
                                 = 16 + 5 [31]
                                 = 16 + 155
                                 = 171
So the answer for the question comes out to be 171. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems in future.
If you would like to solve 4^2 + 5 * [61 - (5 * 6)], you can calculate this using the following steps:

4^2 + 5 * [61 - (5 * 6)] = 16 + 5 * [61 - 30] = 16 + 5 * 31 = 16 + 155 = 171

The correct result would be 171.

At the start of the day there are 78 boxes of DVDs in a warehouse. Each box has 116 DVDs. Then 19 of the boxes are shipped. Now how many DVDs are left in the warehouse?

Answers

Answer:

6844DVDs

Step-by-step explanation:

At the start of the day, there are 78boxes in the warehouse and each box contains 116DVDs, the total number of DVDs in the warehouse will be total number of DVDs per box × number of DVDs in each box;

No of DVDs in the warehouse = 78×116

= 9048DVDs

If 19boxes of DVD were shipped, the total number of DVDs shipped will be 19×116(remember there are 116DVDs in a box)

= 2204DVDs

To calculate the amount of DVDs left in the House, we will use the expression;

Total number of DVDs in the warehouse - total number of DVDs shipped

= 9048-2204

= 6844DVDs

2,204 dvds are left since 19 times 116 is 2,204

What is the mean to a math problem

Answers

It's the average of a data set. It can be found by adding all the numbers and dividing it by how many numbers there are. 
 Is  the  average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers. In other words it is the sum divided by the count.

The winner of a raffle will receive 3/4 of the money raised from raffle ticket sales. The raffle raised $530.40. How much money will the winner of the raffle get

Answers

Convert (3/4) into a decimal which is .75 (75%). Then multiply the decimal to the total amount of $530.40 which yields $397.80.
In other words 75% of the total $530.40 is given to the winner which is $397.80.

Final answer:

The raffle winner will receive $397.80. This is found by multiplying the total money raised ($530.40) by the fraction of the money the winner will receive (3/4).

Explanation:

To find out how much money the winner of the raffle will get, you need to multiply the total amount of money raised by the fraction of the money that the winner will receive. The fraction given in this scenario is 3/4.

To solve this, you can follow these steps:

  1. Determine the total money raised. Here, the total money raised was $530.40.
  2. Multiply the total amount raised by the fraction the winner will receive. In this case, $530.40 is multiplied by 3/4.
  3. Complete the multiplication. The answer is the amount the raffle winner will get.

So, $530.40 * 3/4 = $397.80

Therefore, the raffle winner will receive $397.80.

Learn more about fraction multiplication here:

brainly.com/question/23715562

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