Graph the line y=-x+6

Answers

Answer 1

Answer:

To graph a line, first, we need to plot out values. Let’s find a few: if y is 2, -x would be 2-6, and x would be 4. If y is -2, x would be 8.

Now, all you have to do is put a few more of those points on a line graph and connect them.

Good luck!

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You and your friend play a game. You have a final score of 30 points, and your friend has a score of -21. By how many points did you win?

Answers

Answer:

Step-by-step explanation:

30 - (-21)

30 + 21

Jason and his 3 roommates share the cost of the electric bill evenly

Answers

OK. Each man pays 25% of the bill.
Do you have a question to ask ?

Final answer:

In equal cost sharing, the question pertains to mathematics, specifically division, and equations in power and energy usage. The more and the longer electric appliances are used, the higher the electric bill will be. To evenly share the cost, each of Jason's 3 roommates would need to pay a fourth of the bill, obtained using the division operation.

Explanation:

The issue regarding how Jason and his 3 roommates share the cost of the electric bill evenly pertains to simple division. However, this situation also touches upon concepts of energy usage and cost in mathematics. From the equation E = Pt, we understand that the energy (E) used equals the power (P) times the running time (t). Therefore, the more appliances are run and the longer they run, the more energy will be consumed, increasing the cost of the electric bill.

Now, if we imagine that these 4 roommates use various electric appliances in the same way and for the same duration, their combined usage equals the power that the utility company is billing. If we designate the total electric bill as 'B', then each roommate would be responsible for B/4 of the total cost. This means they would each pay an equal portion of the electric bill, ensuring it's shared evenly.

Learn more about Equal Cost Sharing here:

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There are blue, red and green pencils in the box—20 pencils total. There are 6 times more green pencils than blue pencils. There are fewer red pencils than green pencils. How many pencils do you need to take out of the box in order to get at least one red pencil among them?

Answers

Answer:

Step-by-step explanation:

Try 1, 2, 3, or 4 blue pencils. Then green is 6 times as many. Red must be the rest to make up 20 total.

No. of blue No. of green No. of red

1 6 13

2 12 6

3 18 -1

You can't have 3 blue pencils because 3 blue + 18 green = 21 pencils, and there are only 20.

If you have 1 blue and 6 green, then there must be 13 red, but red must be less than green, and 13 is not less than 6.

The only possibility is

2 blue, 12 green, 6 red

If you start taking out pencils, when you take out the first 14 they may be all blues or green, so only when you take out the 15th pencil do you know for sure there must be 1 green pencil.

Solve the system of equations.

x - 4y = 5
x = 3y - 2

( , )

Answers

x-4y=5
x=3y-2
x-4y=5
x-3y=-2
-y=7
y=-7
x+21=-2
x=-23
HOPE I HELPED!!!

well if x = 3y - 2, then everywhere u see and x remember it equals 3y - 2
so (3y - 2) - 4y = 5 then u distribute
-3y + 2 - 4y = 5 then combine the y's
-7y + 2= 5 then subtract 2 from each side
-7y = 3 then divide -7 on both sides
y = 3/-7
x = -3.28

Brenna had a gross income of $2158.22 during each pay period in 2010. If she got paid monthly, how much of her pay was deducted for FICA in 2010?

Answers

FICA stands for Federal Insurance Contributions Act and FICA taxes are deductions from gross earnings at a rate of 7.65%. If Brenna earns monthly at a gross of $2158.22, then her deduction for FICA is $165.10383 which is 7.65% from her gross income ($2158.22 x 0.0765).

What is the factorization of 2x2+9x+9