Answer:
7.5 miles
Step-by-step explanation:
Half of 5 equals 2.5. Bobby already walked 5 miles so you add the 2.5 since he walked another half of that distance. 5 + 2.5 = 7.5
Answer:
Option B.
Step-by-step explanation:
It is given that a graph titled Courses Completed versus Remaining Credits Needed to Graduate has courses completed on the x-axis and Credits need to graduate on the y-axis.
Points plotted are (4, 110), (8, 76), (16, 63), (20, 53), (24, 33).
Since, x-axis represents the courses completed, therefore the input, or independent variable is courses completed.
Since, y-axis represents the Credits need to graduate, therefore the output, or dependent variable is Credits need to graduate.
Therefore, the correct option is B.
Answer:
1. x = independent variable: Age
y = dependent variable: Accidents
2. Age scale and Accidents scale
The scale for age ranges from 15 - 30 with the value of 5 difference between each number.
While the accidents scale ranges from 0 -1 with no difference in between.
3. In my opinion, the scatter plot looks as though it decreases in accidents once the age rises. As seen from the data shown.
Step-by-step explanation:
1) x is considered as the independent variable, while y is considered the dependent value.
2) There are two sets of scales, one for the x and the other for y. These scales are the values that are interpreted in order to show data of the graph, due to their number and various size(s).
3) If you were to draw a line through the graph, you can somewhat create the image that the line would go down into the right corner! Meaning that it is decreasing over time.
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked sides are proportional, so we have ...
x/8 = (x +5)/12
3x = 2(x +5) . . . . . multiply by 24 to clear fractions
3x = 2x + 10 . . . . . eliminate parentheses
x = 10 . . . . . . . . . . subtract 2x
_____
<em>Alternate solution</em>
We observe that the difference between the upper segment lengths is ...
(x +5) -(x) = 5
and the difference between the lower segment lengths is ...
12 -8 = 4
This means the upper segment lengths are 5/4 times as long as the lower segments. Then ...
x = (5/4)(8) = 10
Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(c):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x+16=3x-1
4x-3x=-1-16
x=-17
Hence final answer is x=-17
