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galben [10]
3 years ago
7

Natural number between 159 and 203​

Mathematics
1 answer:
Blababa [14]3 years ago
5 0
I tried to help and I searched it out but I found no answer D:
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A boat travels 8 miles upstream in the same amount of time it can travel 12 miles downstream. In still water the speed of the bo
Anastaziya [24]

Answer:

1 mi/hr

Step-by-step explanation:

Given that:

Speed in still water, s = 5 mi/hr

Let speed of current = x

Time = distance /speed

Upstream (subtract speed of current) = 5 - x

Upstream time = 8 / 5 - x - - - (1)

Downstream (add speed of current) = 5 + x

Downstream time = 12 / 5 + x - - - (2)

Equate (1) and (2)

8 / (5 - x) = 12/ (5 + x)

8(5 + x) = 12(5-x)

40 + 8x = 60 - 12x

40 - 60 = - 12x - 8x

-20 = - 20x

x = 1

Spwed of current = 1 mi/hr

7 0
3 years ago
If f(x)=2-x^1/2 and g(x)+x^2-9, what is the domain of g(x)/f(x)?
Dominik [7]
As far a domain, you only care about the denominator and radicals.

f(x) = 2 - √x is the denominator, so it can't be 0. 
Also x is under a radical, so x can't be negative.
Set the denominator equal to 0 to find the excluded values.

2 - √x = 0
-√x = -2
√x = 2
x = 4, so 4 is an excluded value

The domain is all real numbers greater than or equal to 0, except 4.
[0, 4) U (4, ∞)
0 ≤ x < 4 U x > 4
6 0
4 years ago
Help please slope-intercept intro
Alex777 [14]

Answer:

(0, -2)

Step-by-step explanation:

y-intercept is the point at x = 0.

y = -3(0) - 2

y = -2

6 0
3 years ago
How do you solve: -5x-9=-3x-9
igor_vitrenko [27]

Answer:

x=0

Step-by-step explanation:

-5x-9=-3x-9

Add 5x to each side

-5x+5x-9=-3x+5x-9

-9 =2x-9

Add 9 to each side

-9+9 = 2x-9+9

0 =2x

Divide by 2

0/2 =2x/2

0 =x

7 0
3 years ago
Read 2 more answers
Determine which of the following equations are perpendicular to each other. I. y=-3x+2
iogann1982 [59]
Write each equation in y = mx + b form so that you can compare the slopes.
Perpendicular slopes are opposite reciprocals.
For example: 2/3 and - 3/2; 4/5 and -5/4; 1/2 and -2

I. y = -3x + 2                 m = -3
II. y = 3/2 x + 1/2          m = 3/2
III.  y = - 1/3x  + 1/3      m = -1/3
IV. y = 1/3x + 9             m = 1/3          (I assuming this one had a typo in it                                                                   since there is no equal sign.) 
LETTER B is the answer I & IV
4 0
4 years ago
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