Answer:
therefore x = 600 mph
therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph
Step-by-step explanation:
i) Two planes are 2725 miles apart and are travelling towards each other.
ii) One plane is travelling 110 mph faster than the other plane.
iii) the planes pass each other in 2.5 hours
iv) let the speed of one plane be x mph
v) let the speed of another plane be y mph
vi) therefore x - y = 110 mph
vii) and also x + y = 2725/2.5 = 1090
viii) adding the equation in vi) to the equation in vii) we get 2x = 1200
therefore x = 600 mph
ix) therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph
To determine the inverse of a function, we first write the parent function in terms of y. So, in this part the x would be isolated to one side of the equation. Then, with the new form of the parent function, we switch the x into y and y to x. The new function would be the inverse function. For the given function, we do as follows:
<span> y=-4/x + 1
y - 1 = -4/x
x ( y - 1 ) = -4
x = -4 / (y -1)
Replacing x into y and y into x,
</span>y = -4 / (x -1)
<span>Therefore, the inverse is y=-a/x-b where a = 4 and b = 1.</span>
Answer: 
Step-by-step explanation:
The given inequality : 
To solve the above inequality, first we need to multiply 2 inside the bracket by using distributive property in left side, we get
Now, Subtracting 4x and 5 on the both sides of the inequality, we get
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
