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mylen [45]
2 years ago
9

Write an equation for the line that passes through the given point 1. (4,-1), (0.5)

Mathematics
1 answer:
mixas84 [53]2 years ago
4 0
Equation - F(x)= -x+5
Use the formula
y2-y1 5-1 4
--------- --------- ------ M = -1
X2-x1 0-4 -4


than Calculate the y-axis intercept(B) by using f(x)=mx+b
Insert -1 for m, 4 for x and 1 for f(x).

1=-1*4+1*b | Swap both sides of the equation.
1*b+-4=1 | +4
1*b=5

So, the y-axis intercept is at 5
Therefore, the equation of the function is f(x)=-x+5
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Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppos
horrorfan [7]

Answer:

The answer is "0.0764"

Step-by-step explanation:

Please find the complete question in the attached file.

\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\

        = \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802

\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}

\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\

7 0
3 years ago
What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)
viva [34]

The slope-intercept form of a line:

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept

We have:

(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5

Substitute:

m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}

y=\dfrac{3}{4}x+b

Put the values of coordinates of the point (1, 5) to the equation of a line:

5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}

Answer: y=\dfrac{3}{4}x+4\dfrac{1}{4}


5 0
3 years ago
Find the difference between 9,000 and 8,745.
dybincka [34]

Answer: 255

Step-by-step explanation: All you do is subtract 8,745 from 9000.

8 0
3 years ago
What do I get if I divide 1 by 5/13 as an improper fraction​
Tasya [4]

Answer:

15/13

Step-by-step explanation:

hope that helps thanks for ur questions

4 0
2 years ago
Find ST. Help me solve please and thank you
slava [35]

Answer: ST is equal to 12

Step-by-step explanation:

If RU  is equal to 24 as a whole  and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.

6 + 6 +x  = 24   where x is the length of ST

12 + x = 24  

-12         -12

x = 12    

6 0
3 years ago
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