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andrey2020 [161]
3 years ago
14

staircase of steps in a swimming pool has a vertical rise of 14 inches per step and a landing of 20 inches.

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0
I think the question for this problem is to find the slope of the staircase. The slope is a ratio of change of the y-coordinates and x-coordinates of points. It is written as Δy/Δx especially in analytical geometry. It could also be simply the ratio of the rise or vertical height to the run or horizontal length.

Therefore, the slope of the stair case is

Slope = rise/run = 14/20 = 0.7
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Write the equation of the line in slope-intercept form that goes through the points: (2,4) and (7,-1)
IgorC [24]

Answer:

y= -x+8

Step-by-step explanation:

slope int. form: y=mx+b

first, we need to find the slope (m)

the two points are (2,4) and (7,-1).

to find the slope we do (y2-y1)/(x2-x1)

doing this we get -5/5=-1

now we can plug in point (2,4) and the slope into y=mx+b

doing this we get:

4=-1(2)+b

4=-2+b

b=8

now we have the equation:

y= -x+8

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2 years ago
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A fan in a baseball stadium is sitting in a seat with their eye level is a vertical distance of 350 ft above level.
nata0808 [166]
The answer is B the same fan makes eye
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2 years ago
What is the equation in slope-intercept form of the line that passes through the points ( - 4, 2) and (4, What is the equation i
spin [16.1K]

Answer: 4

Step-by-step explanation:

6 0
2 years ago
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
5 0
3 years ago
19/20 into a percentage
Westkost [7]

Answer:

it will be 95%

hope that helps

3 0
3 years ago
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