The given distance driven by each family on vacation is-
The Jacksons drove 835 miles.
The Simms drove 947 miles.
The Chens drove 100 miles further than the Jacksons that is they drove 935 miles.
Now comparing all three distances, we get 947 miles as the highest distance driven.
Hence the Simms drove the longest distance.
Answer:
Step-by-step explanation:
0.19
Answer:
1) h = -1/2t^2 +10t
2) h = -1/2(t -10)^2 +72
3) domain: [0, 20]; range: [0, 50]
Step-by-step explanation:
1.) I find it easiest to start with the vertex form when the vertex is given. The equation of the presumed parabolic path for Firework 1 is ...
h = a(t -10)^2 +50
To find the value of "a", we must use another point on the graph. (0, 0) works nicely:
0 = a(0 -10)^2 +50
-100a = 50 . . . . . . subtract 100a
a = -1/2 . . . . . . . . . divide by -100
Then the standard-form equation is ...
h = (-1/2)(t^2 -20t +100) +50
h = -1/2t^2 +10t
__
2.) The path of Firework 2 is translated upward by 22 units from that of Firework 1.
h = -1/2(t -10)^2 +72
__
3.) The horizontal extent of the graph for Firework 1 is ...
domain: 0 ≤ t ≤ 20
The vertical extent of the graph for Firework 1 is ...
range: 0 ≤ h ≤ 50
Answer:
Step-by-step explanation:
The binomial expansion is given by:
In our case we have
Thus using the given terms in the binomial expansion we get
Upon solving we get
Answer:
-9/11
Step-by-step explanation:
The slope of a line given two points is
m = (y2-y1)/(x2-x1)
= (-2-7)/(8--3)
= (-9)/(8+3)
=-9/11
Hope this helped you. :)
Answer: x=38
Step-by-step explanation:
x+(-15)=23
x-15=23
+15 +15
x=38
When there is a positive and negative sign the negative sign cancels the positive sign.
Answer:
38
Step-by-step explanation:
23+15=38 because in order to get 23 from -15 a negative number you need to have 38 to silence the -15.