Given the function
![y=\dfrac{3}{5}x+2](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B5%7Dx%2B2)
and its domain
, its range is ![\{-4,2,5\}](https://tex.z-dn.net/?f=%5C%7B-4%2C2%2C5%5C%7D)
The domain of a function is the set of all possible values that we can input to the function.
The range of a function is the set of all possible values that a function can output.
For the function
![y=\dfrac{3}{5}x+2](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B5%7Dx%2B2)
if the domain is the set
, we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.
The range will then be
![\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cdfrac%7B3%7D%7B5%7D%28-10%29%2B2%2C%20%5Cdfrac%7B3%7D%7B5%7D%280%29%2B2%2C%5Cdfrac%7B3%7D%7B5%7D%285%29%2B2%5Cright%5C%7D%5C%5C%5C%5C%3D%5Cleft%5C%7B3%28-2%29%2B2%2C%203%280%29%2B2%2C%203%281%29%2B2%5Cright%5C%7D%5C%5C%5C%5C%3D%5Cleft%5C%7B-4%2C%202%2C%205%5Cright%5C%7D%5C%5C%5C%5C)
Learn more about function <em>domain </em>and <em>range</em><em> </em>here brainly.com/question/13824428
Volume of cylinder = (pi)r^2 • h
So with the numbers, it’s:
V = (3.14)12.5^2 • 30
V = (3.14)156.25 • 30
V = 490.625 • 30
V is about 14,718.75
Since I rounded, the answer for your problem is “about 17,671 cubic feet.”
Hope this helped!
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
brainly.com/question/12209021
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K>5
-3k-2<-17
add 3 on both sides
-3k<-15
divide by -3 on each side , when dividing each side by a negative number the sign switches
k>5
The answer is C. This is because the formula to find the perimeter is Length+length+width+width. So, 1.2 + 1.2 + 0.6 + 0.6 = 3.6