Answer:
answer is equals to y = 700x + 600
Step-by-step explanation:
600 doesn't depend on anything hence it is <em>b</em>
You have to use y=mx+b
so you plug it in 4=6(3)+b
subtract 18 from both sides
-14=b
b is the y-intercept so it would be .... y=6x-14
you plug 27 in for x
y=6(27)-14
y=148
Answer: The traveler's speed off the walkway= 3 ft/s
The speed of the moving walkway= 2 ft/s
Step-by-step explanation:
Given: A traveler is walking on a moving walkway in an airport.
Let 't' be the traveler's speed off the walkway and 'w' be the speed of walkway.
Then the traveler's ground speed against the walkway (t-w)= 1 ft/s
And the traveler's ground speed with the walkway (t+w)= 5 ft/s
thus we get the following equations
Adding (1) and (2), we get
Subtract (2) from (1), we get
Therefore, the traveler's speed off the walkway= 3 ft/s
The speed of the moving walkway= 2 ft/s
Please, when working with fractional coefficients, enclose them inside parentheses as shown here:
Correct: (1/3)x + (1/4)y
Not clear: 1/3x+ 1/4y
Then we have: (1/3)x + (1/4)y and (2/5)x - y = 11. (I must assume that your 2 5 meant 2/5.)
For clarity write this system as:
(1/3)x + (1/4)y = 2
(2/5)x - y = 11
The LCD of the first equation is (3)(4), or 12. Mult. all three terms by 12 to clear the eq'n of fractions: 4x + 3y = 24
Go thru the same procedure for the second equation: 2x - 5y = 55
Now mult. the entire 2nd equation (immediately above) by -2 to obtain:
-4x + 10y = -110
and then add this to the first equation:
4x + 3y = 24
-4x + 10y = -110
-----------------------
13y = -86
Solving for y, y = -6.62
It is unlikely that y would have a mixed number value. Please, go back and check to ensure that you have copied down this problem correctly. If you do, I'd be happy to return and help you find the solution of this system of equations.
Slope = (y2 - y1)/(x2 - x1) = (-61 - (-37))/(-32 - (-26)) = (-61 + 37)/(-32 + 26) = -24/-6 = 4
Therefore, slope = 4