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Natalka [10]
3 years ago
6

The function h is defined by h(x)=60÷x−r, where r is a constant. Find r, if the graph of h passes through the point (−6,−20).

Mathematics
1 answer:
fomenos3 years ago
4 0

Answer:

r = 10

Step-by-step explanation:

You want to find r such that ...

  -20 = 60/-6 -r

  r = 60/-6 +20 . . . . . add 20+r

  r = -10 +20 = 10

_____

If you mean h(x) = 60/(x -r), then the answer is different.

  -20 = 60/(-6-r)

  -6-r = 60/-20 . . . . . multiply by (-6-r)/(-20)

  -r = -3 +6 = 3 . . . . . add 6, simplify

  r = -3 . . . . . . . . . . . . multiply by -1

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Factor z^2 – 3z – 18. A. (z + 3)(z – 6) B. (z – 3)(z – 6) C. (z + 8)(z – 10) D. (z + 2)(z – 9)
ozzi
Work shown above! Answer would be A!

5 0
3 years ago
Terms written in the form a/b are fractions. For example 2/3. If you see 3 1/2 it should be 3 and 1/2
aliina [53]

Answer:

7/2??

Step-by-step explanation:

Im not sure what you mean but 3 1/2 is the same thing as 7/2

5 0
3 years ago
A farmer wants to fence in a rectangular field that encloses 3600 square feet. One side of the field is along a river and does n
andriy [413]

Answer:

C(x) = \$3.50(\frac{x^2+7200}{x})

Step-by-step explanation:

Data provided in the question:

Area of the field = 3600 square feet

Fencing charges = $3.50 per foot

Let the side along the river be 'x' feet and the other side of the 'B'

now,

Area of rectangle = Bx = 3600 square feet

or

B = \frac{3600}{x} feet

and total length to be fenced = x + 2B

therefore,

Total cost of fencing = Fencing charges × total length to be fenced

or

Total cost of fencing = $3.50 × ( x + 2B )

substituting the value of B from (1)

Total cost of fencing, C(x) = \$3.50(x+2\times\frac{3600}{x})

or

C(x) = \$3.50(\frac{x^2+7200}{x})

4 0
3 years ago
a bathtub is in the shape of a rectangular prism. its dimensions are 5 feet by 3 feet by 18 inches. the bathtub is three-fourths
crimeas [40]
The bathtub has dimensions 5 ft by 3 ft by 18 inches.
Note that 18 inches = 18/12 = 1.5 ft.

The volume of the bathtub is
V = 5*3*1.5 = 22.5 ft³

The bathtub is three-fourths (0.75) full of water. Therefore the volume of water is
0.75*22.5 = 16.875 ft³

The water is lost at the rate of 1 ft³/min.
If it takes x minutes to empty the bathtub, then
(1 ft³/min)*(x min) = (16.875 ft³)
x = 16.875 min

Answer: 16.875 minutes

6 0
3 years ago
Write an equation of a line parallel to y=10x+6 and going through point (2,-4)
nadya68 [22]

Answer:

Y= 10x-24 would be parralel to y=10x+6

Step-by-step explanation:

well a parralel line has to have the same slope and a different y-intercept.

To find the y-intercept the x has to be exactly 0.

So we have (2,-4)

The slope is 10/1 which is 10y and 1 x which in an ordered park would be Add 1 x and add 10 y. But we’re trying to get x to be 0 to find the y-intercept.

So subtract 1 x and subtract 10y

2-1=1

-4-10=-14

(1, -14)

1-1=0

-14-10=-24

(0, -24)

THe y-intercept is -24 and w have the slope since its the same thing So

y=10x-24 is the equation

7 0
3 years ago
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