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neonofarm [45]
3 years ago
15

Find the equation of the line of best fit in slope intercept form . please help

Mathematics
2 answers:
slavikrds [6]3 years ago
6 0

Answer:

y = (2/5)x + 3

Step-by-step explanation:

Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5).  First we find the slope of this line:  m = rise/run.

As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise).  Thus, the slope of this line is m = 2/5.

Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3.  Then our equation is y = mx + b, or y = (2/5)x + 3

Zolol [24]3 years ago
6 0

Answer:

The equation is y = \frac{2}{5} x+3

Step-by-step explanation:

The line of best fit has an x-intercept of 3, so the constant in the equation would be 3. Since one of the points on the line is (5, 5), the change in y over the change in x (the slope) is going to be \frac{5-3}{5-0} or \frac{2}{5}. So the line's equation is y = \frac{2}{5} x+3.

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12% of birr x is 840,what is the value of x​
Diano4ka-milaya [45]

The value of x will be 7000 for the expression 12 % x = 840.

We are given a number x.

We are also given as 12 % of x is 840

writing it in the form of an expression, we get that:

12 % x = 840

12 / 100 × x = 840

12 x = 84,000

Dividing both sides by 12, we get that:

12 x / 12 = 84,000 / 12

x = 7000

Therefore, the value of x will be 7000.

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3 0
1 year ago
the Following table shows alexandra's investment options over the course of three years. Her initial investment was $1,000 . wri
Y_Kistochka [10]

The pattern in the given series of amount in the account are in the form of

arithmetic and geometric progression.

  • The function for Option 1 is;  \underline{ f(n) = 1,100 + (n - 1) \cdot 100}
  • The function for Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Reasons:

The given table of values is presented as follows;

\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right]

In Option 1, the amount in dollars for each year has a common difference of d = 100

The first term, a = 1,100

Therefore;

The Option 1 can be represented as an arithmetic progression , A.P. in the

form, tₙ = a + (n - 1)·d as follows;

For the Option 1, we have;

  • The amount in dollars after <em>n</em> years, \underline{ f(n) = 1,100 + (n - 1) \cdot 100}

For Option 2, it is possible to find;

1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1

Therefore;

The terms in the Option 2 have a common ratio of r = 1.1

The Option 2 is a geometric progression, G.P.

The first term in Option 2 is a = 1,100

Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾

Therefor;

  • The function for the Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

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4 0
2 years ago
Solve the equation <br>8(4- x) = 7x + 2<br>x=​
Jet001 [13]

Answer: x=2

Step-by-step explanation:

Expand.

32−8x=7x+2

Add 8x to both sides.

32=7x+2+8x

Simplify  7x+2+8x7x+2+8x  to  15x+215x+2.

32=15x+2

Subtract 22 from both sides.

32−2=15x

Simplify  32−2  to  30.

30=15x

Divide both sides by 15.

30/15=x

Simplify 30/15 to 2

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Switch sides.

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7 0
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People enjoyed attending the concert in the park. Twice as many men as women attended the concert. If the total attendance was 7
vazorg [7]
Hello! A way we could solve this equation is to divide 714 by three and then multiply the quotient by 2 to get the number of men that attended. 714/3 is 238. There were 238 women that attended the concert. 238 * 2 is 476. 476 + 238 = 714. There. There were 476 men that attended the concert.
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olga2289 [7]

Answer:

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Step-by-step explanation:

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