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insens350 [35]
3 years ago
15

Find the formula for an inverse proportion, knowing that its graph goes through the point: A(8, 0.125) PLEASE EXPLAIN WELL! THAN

K YOU
Mathematics
1 answer:
insens350 [35]3 years ago
7 0

The formula for the given inverse proportion is:

y = 1/x

<h3>How to get the formula of the inverse proportion?</h3>

The general formula of an inverse proportion is written as:

y = k/x

Where k is the constant of proportionality.

In this case, we know that the point (8, 0.125) belongs to the graph, then replacing these values on the general formula we get:

0.125 = k/8

Solving for k we get:

0.125*8 = k = 1

Then the inverse proportion is:

y = 1/x

If you want to learn more about inverse proportions, you can read:

brainly.com/question/17447335

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Perform the addition.<br> (3x² + 3x - 5) + (-7x² + 9)
lakkis [162]
The question is asking us to find the sum. To do this, let's first write the original equation and then take it from there.
(3 x^{2}  + 3x - 5) + (-7 x^{2}  + 9)<span>
Use distributive property:
</span>3 x^{2}  + 3x - 5 - 7 x^{2}  + 9
Combine Like Terms:
&#10;-4 x^{2} +3x+4
Therefore, the answer to your question is -4x² + 3x + 4. Hope this helps and have a fantastic day!
8 0
3 years ago
Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

3 0
3 years ago
Enter number as an integer or decimal.
Strike441 [17]

Answer:

x

Step-by-step explanation:

30-4x>6x-10

Adding 10 to both sides.

10+30-4x>6x-10+10

40-4x>6x

Adding 4x to both sides.

4x+40-4x>6x+4x

40>10x

Dividing both sides by 10.

\frac{40}{10}>\frac{10x}{10}

4>x

∴ x

3 0
3 years ago
Find the value if S (s-6)squared= 75
Stels [109]
9...
75 + 6 = 81
The square root of 81 = 9
6 0
4 years ago
Solve exponential equation<br> 1/16=64^4x-3
RoseWind [281]
Fraction form: x=7/12

Steps:

64^4x-3

2^6(4x-3)=2^-4

6(4x-3)=-4

4x-3=-2/3

4x=7/3

X=7/12
4 0
3 years ago
Read 2 more answers
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