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Sav [38]
3 years ago
13

What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, S

tartFraction 11 Over 12 EndFraction) in slope-intercept form? y = one-half x minus three-fourths y = one-half x + three-fourths y = three-fourths x minus one-half y = three-fourths x + one-half
Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

You have to find the slope first. Which is y1-y1 divided by x1-x2

Then you find the y-intercept which you take the slope for m like for example if you find the slope, 2, then the equation should be y=2x+b. You take the coordinates on the problem and put them on the y or x on the equation. Then when you find the y-intercept you add it to the equation like for the example that I used above, you have to put the y-intercept on b. So if the y-intercept is 5 then the equation would be y=2x+5.

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Solve the equation <img src="https://tex.z-dn.net/?f=8x%5E2%3D-36" id="TexFormula1" title="8x^2=-36" alt="8x^2=-36" align="absmi
chubhunter [2.5K]

Answer: 4(2x²+9) or i\frac{3\sqrt{2} }{2}

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36            [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0         [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0       [divide both sides by 4]

2x²+9=0            [subtract both sides by 9]

2x²=-9               [divide both sides by 2]

x²=-9/2              [square root both sides]

x=\sqrt{-\frac{9}{2} } or x=i\frac{3\sqrt{2} }{2}

6 0
3 years ago
Read 2 more answers
The perimeter of a square is 44. Find the length of a diagonal.
julsineya [31]
If the perimeter is 44 the the diagonal is 22
7 0
3 years ago
Read 2 more answers
the average starting salary for this year's graduates at a large university (lu) is $55,000 with a standard deviation of $6,000.
alexira [117]

0.84% of the graduates will receive the tax break

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = x - μ / σ

Z-scores are used to measure how far a measure is from the mean. We find the p-value associated with this Z-score by looking at the z-score table after finding the Z-score. The p-value represents the probability that the measure is smaller than X, which is the percentile of X. The probability of the measure being greater than X is calculated by subtracting 1 from the pvalue.

μ = $55,000 σ = $6,000

This is the pvalue of Z when X = $39,600. So

z = 39600 - 55000 / 6000

z = -2.5

z = -2.5 has a o value of 0.0084

0.84% of the graduates will receive the tax break.

To learn more about similar tax break:

brainly.com/question/15563518

#SPJ4

7 0
1 year ago
What is 6x3/5 as a mixed number
Katen [24]
First, make 6 into an improper fraction.
6/1
Now multiply the numerators.
6x3=18
Now, the same with the denominators.
1x5=5
18/5
Now make it into a mixed number.
5x3=15
3 and...
18-15=3
3 and 3/5!!
Hope this helped!
8 0
3 years ago
What is the definition of present value?
Bezzdna [24]

Answer:

the value in the present of a sum of money, in contrast to some future value it will have when it has been invested at compound interest.

Step-by-step explanation:

6 0
3 years ago
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