R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
<u>5*(r-c)=45</u> because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
<u>3*(r+c)=45</u>
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask
Answer:
Slope -1, y intercept +5.
Bold line, shaded above
Step-by-step explanation:
x + y - 5 ≥ 0
y ≥ -x + 5
Answer:
1.) (11, -7/3), 2.) No solution. 3.) (1, 3)
Step-by-step explanation:
1.)
2x + 3y = 15
x - 3y = 18
Solve...use elimination method
2x + x + 3y - 3y = 15 + 18
3x = 33
x =11
11 - 3y = 18
-3y = 7
y = -7/3
(11, -7/3)
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2.) y = 4x + 4
y = 4x - 4
Use substitution.
4x + 4 = 4x - 4
4 = -4 FALSE NO Solution
3.) y = 5- 2x
4x + 3y = 13
Can use elimination method
2y = 10 - 4x
add it to 4x + 3y = 13
10 + 3y = 2y + 13
y = 3
3 = 5 - 2x
x = 1
(1, 3)
Answer:
(c) -3.8, 3
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are the values of x where the function values are equal. These are the x-coordinates of the points where the graphs of y=f(x) and y=g(x) intersect each other.
<h3>Points of intersection</h3>
The points where the graphs cross can be estimated to be ...
(-3.8, 6.5) and (3, -6)
The x-coordinates of these points are the solutions to the equation:
x = -3.8, 3
Answer:
(n - 8n)(m+8n)
Step-by-step explanation:
x² - y² = (x - y)(x + y)
In this situation, the "x" = m and the "y" = 8n
So,
m² - 64n² = (n - 8n)(m+8n)
