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Effectus [21]
3 years ago
12

PLEASE HELP!!

Mathematics
2 answers:
sp2606 [1]3 years ago
5 0
Standard form is just putting (in this case) variables in alphabetical order. First we simplify- 2x+4=4y would become 1/2x+1=y. This is already in standard form, as numbers w/o variables come at the end. simplifying the next one is more tricky. first you get a variable/number alone-
9-2x-2y=4x+3
9-2y=6x+3
6-2y=6x
1-1/3y=x
1=x+1/3y
3=x+y
x+y=3
sorry if I was wrong and not of any help, But I do believe this is correct.
lbvjy [14]3 years ago
3 0
What standard for is is when all the variables are on one side in order, without being expressed as a decimal or fraction.

To put 2x+4=4y in standard form, first subtract 4 from both sides.

2x=4y-4
Now, subtract 4y from both sides.

2x-4y=-4

Now the equation is in standard form.

To put the next equation in order, first distribute -2 into (x-y) to get:

9-2x+2y=4x+3

Because one variable cannot be on both sides, subtract 4x from both sides.

9-6x+2y=3

Now subtract 9 to both sides:

-6x+2y=-6

My teacher last year did not like when the first variable in standard form was negative. If that is the case with your teacher, distribute -1 into everything on both sides of the equation. That would look like:

6x-2y=6

If your teacher is impartial, then you can leave there equation how it was.

So the answers are:

2x-4y=-4
-6x+2y=-6 (or 6x-2y=6)
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A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed
irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

  • B = boat's speed
  • R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0
3 years ago
What is equal to 14.1.
VLD [36.1K]
A lot of numbers, equations, etc equal 14.1. Be more specific in your questions. I’m sorry this doesn’t really help but just use this for future reference
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This means our function equals zero when t = -1/4 s and t = 3 seconds
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