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Zielflug [23.3K]
3 years ago
5

Write the following number in correct scientific notation: 0.003538 Ski

Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer:

= 3.538 \times  {10}^{ - 3}

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Which of the following could be the equation of the graph shown below?
My name is Ann [436]

Hey there! I'm happy to help!

---------------------------------------------------------------------------

<u>INTRODUCTION TO SLOPE INTERCEPT FORM</u>

Slope intercept form an equation for a line that includes a point, the slope, and the y-intercept. This equation can be modeled below.

y=mx+b

In this equation, m is the slope and b is the y-intercept.

The slope is how steep the line is.

The y-intercept is where the line runs into the y-axis.

Why do we even have this equation?

Well, we use it to build lines. It shows how the points of the line are oriented in terms of the two axes. If you knew that the x-value of a point was 1, you would plug it into the equation (if you had the values for x and b) and you would figure out what the y was. You would then plot this point and then do it with other numbers and then you would connect the dots and you have your line!

---------------------------------------------------------------------------

<u>PUTTING THE EQUATIONS IN SLOPE INTERCEPT FORM</u>

As you can see, not all of our equations are in slope intercept form. A and C are in slope intercept form, but B and D are not. Let's solve for y in these equations.

OPTION B

-4x+2y=-6

We add 4x to both sides.

2y=4x+-6

We divide both sides by two.

y=2x-3

OPTION D

2x-3y=-9

We subract 2x from both sides.

-3y=-2x-9

We divide both sides by -3.

y=-2/3x+3

---------------------------------------------------------------------------

<u>INTERPRETING THE GRAPH</u>

Y-INTERCEPTS

As we have said before, the y-intercept is where the line hits the y-axis. As we can see on the graph, the line hits the y-axis (the vertical one) below zero (zero is the center). This means that the y-intercept is negative.

Let's look at our equations. The y-intercept is the constant (the number without a variable). We know that our y-intercept has to be negative.

A: y=3x-2

B: y=2x-3

C: -10

D: -2/3x+3

As we see, A,B, and C have negative y-intercepts. These can move on. D does not. It is positive. Therefore, we can eliminate D as an option.

SLOPES

Let's look at the slope of each line. Our slope has to be positive because our line is sloping upwards.

A: y=3x-2

B: y=2x-3

C: 0 (the slope has to be zero because our y-value will always be -10 according to the equation. This is a flat, horizontal line so it will have a slope of zero. )

We see that both 3 and 2 make sense as slopes because they are both positive. C does not because C is a flat line. So, we can eliminate C as an option.

This leaves us with the equations A and B, which both make sense because they have positive slopes and negative y-intercepts. There is nothing else we can do to disprove any of them.

Therefore, the answer is A. y=3x-2 and B. -4x+2y=-6.

---------------------------------------------------------------------------

I hope that this helps! Have a wonderful day! :D

<u />

8 0
3 years ago
37000000000000-187000000000
densk [106]

Answer:

37000000000000 - 187000000000 = 36813000000000

Step-by-step explanation:

Use long subtraction to evaluate.

Hope this helps! Have a nice day!

4 0
3 years ago
Read 2 more answers
Select from the drop-down menu to correctly complete the statement.
Usimov [2.4K]

The true statement is that: if you cannot get from one term to the next by adding or multiplying by a constant value, the sequence is neither arithmetic nor geometric

<h3>How to determine the true statement</h3>

A progression can either be arithmetic, geometric or neither.

  • When the progression has a common difference (gotten by addition), then the progression is arithmetic
  • When the progression has a common ratio (gotten by multiplication), then the progression is geometric

If the above are not true, then the sequence is neither arithmetic nor geometric

Read more about sequence at:

brainly.com/question/6561461

6 0
2 years ago
Write the slope-intercept form of the equation of the line described.
Svetach [21]

Answer:

1) y = 2/3x - 2

2) y = -1/2x + 3

Step-by-step explanation:

1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = 2/3x + c

0 = 2/3(3) + c

0 = 2 + c

0 - 2 = c

- 2 = c

Therefore, the slope-intercept form for the first part is y = 2/3x - 2.

2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = -1/2x + c

1 = -1/2(4) + c

1 = -2 + c

1 + 2 = c

3 = c

Therefore, the slope-intercept form for the second part is y = -1/2x + 3.

5 0
2 years ago
If I feed my lizard every 3rd day, and I feed my snake every 7th day, then on what day would they both be fed?
dusya [7]

Answer:

21st `day

Step-by-step explanation:

3*3*3*3*3*3*3=21

7*7*7=21

21 is the lcm of 3 and 7

8 0
3 years ago
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