Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)
Answer:
(-inf,2]
Step-by-step explanation:
I replaced r(x) with 2-x^2
I replace the x in w(x)=x-2 with 2-x^2
You can graph this to find the range.
But since this is a quadratic (the graph is a parabola), I'm going to find the vertex to help me to determine the range.
The vertex is at x=-b/(2a). Once I find x, I can find the y that corresponds to it by using y=-x^2-x+2.
Comparing ax^2+bx+c to -x^2-x+2 tells me a=-1, b=-1, and c=2.
So the vertex is at x=1/(2*-1)=-1/2.
To find the y-coordinate that corresponds to that I will not plug in -1/2 in place of x into -x^2-x+2.
This gives me
-(-1/2)^2-(-1/2)+2
-1/4 + 1/2 +2
Find a common denominator which is 4.
-1/4 + 2/4 +8/4
8/4
2.
So the highest y value is 2 ( I know tha parabola is upside down because a=negative number)
That mean then range is 2 or less than 2.
So the answer an interval notation is (-inf,2]
Answer:
7.5
Step-by-step explanation:
1) You can start off by dividing 30 by 4
30/4
2) You should get 7.5
Answer:
R___S___T
RT=RS+ST
(17y-33) =( 9y+3)+(3y+4)
17y-33 = 12y+ 7
17y - 12y = 7+33
5y= 40
y=40/5
y= 8
RS = 9y+3 = 9(8)+3= 72+3=75
ST= 3y+4 = 3(8)+4=24+4=28
RT= 17y-33= 17(8)-33= 136-33= 103 —>
<u>Or</u><u> </u><u>;</u> RT=RS+ST =75+28= 103
<h3><u>So</u><u>;</u></h3><h3>a. <u>Ans;</u> y=8</h3>
<h3>b. <u>Ans;</u> RS= 75 , ST = 28 , RT = 103</h3>
I hope I helped you^_^
