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3 years ago

Question 1 :In order to convert this equation to Slope-Intercept Form, you must first isolate y.

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Add -6x to both sides

6x + 7y + − 6x = 14 + − 6x

7y = − 6x + 14

Divide both sides by 7

7y / 7 = − 6x + 14 / 7

y = − 6 / 7x + 2

Answer

y = −6 / 7x + 2

<u>Graph question: answer would be :</u>

$y = \frac{-3}{5} x+ 2$

Place a point on (0,2) and a point on (5, -1)

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Explain how negative powers of 10 can be helpful when writing and comparing small numbers

Luba_88 [7]

Answer:

See explanation

Step-by-step explanation:

Powers of 10 is a very useful way of writing down large or small numbers.

Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.

When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,

$0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...$

When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then

if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example, $3.6\times 10^{-6}>2.6\times 10{-6},$ because powers are the same (-6) and $3.6>2.6$
if the powers are different, then the smaller is power, the smaller is number (number with the smaller negative power has more places after decimal point). For example, $3.6\times 10^{-6}> 2.6\times 10^{-7},$ because $-6>-7$

8 0

3 years ago

What is the place value of 2 in 24,398,407,268

Semenov [28]

Answer:

20,000,000,000 or 200

Step-by-step explanation:

depending on which 2 you are asking for

3 0

3 years ago

A mother wants to invest $14,000.00 for her sons future education. She invests a portion of the money in a bank certificate of d

SVETLANKA909090 [29]

560, because 4 percent of 14,000.00 is 560.

7 0

3 years ago

Read 2 more answers

JIMMMMMM

Vitek1552 [10]

>= means greater than or equal to
<= means less than or equal to

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

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

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The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

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

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions.

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

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas.

7 0

4 years ago

Read 2 more answers

The answer to this problem for my hw

Darya [45]

Okay. So, Marianna has 16 yards of fabric. Subtract 2 2/3 from 16, because those are the leftovers. 16 - 2 2/3 is 13 1/3. 13 1/3 / 3 1/3 is 4. Mariana made 4 pieces of 3 1/3 yard fabric. The answer is C: 4.

5 0

3 years ago