That's a quadratic, a nice parabola in vertex form.
The parabola has a positive x^2 term, so it's a CUP, concave up positive. It will have a minimum at the vertex, which is (2,5). Plot that point.
Now we need a couple of guide points to draw the usual parabola going up from both sides of its vertex. We try x=0 giving (0,9) and see that x=4 also gives 9, (4,9). Plot the parabola through those two points and the vertex and you're done.
Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph
Step-by-step explanation:
Let x represent the rate of the jet in still air.
Let y represent the rate of the jet jetstream.
Distance = speed × time
Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,
3050 = 5(x - y)
3050/5 = x - y
x - y = 610 - - - - - - - - - - - - - -1
Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,
3800 = 4(x + y)
3800/5 = x + y
x + y = 760 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 1370
x = 1370/2 = 685mph
Substituting x = 685 into equation 1, it becomes
685 - y = 610
y = 685 - 610 = 75mph
Answer:
x > 10/7 or x > 1 3/7
Step-by-step explanation:
First simplify the left side of the inequality.
6x+ 1/4 (4x+8)> 12
6x+x+2>12
7x+2>12 Next, using the property of inequality, subtract two from both sides.
7x>10 Now divide by 7 to solve for x.
x>10/7 or x> 1 3/7
11/3 is bigger 1.27 because when you do 11/3 you get 3.66666666666666666667 which is clearly bigger than 1.27 so like I said 11/3 is bigger than 1.27.
Answer:
-7-5a
Step-by-step
i simplified it if thats what it meant