Answer:
200 students either bike or walk to school
Step-by-step explanation:
0.4 = 40%
500 * 0.4 = 200
40% is 200 students
200 students either bike or walk to school
Step-by-step explanation:
13.8564064606
hope it helps
Answer:
-25
Step-by-step explanation:
Evaluate -x - 6 x + 10 where x = 5:
-x - 6 x + 10 = -5 - 6×5 + 10
-6×5 = -30:
-5 + -30 + 10
-5 - 30 + 10 = 10 - (5 + 30):
10 - (5 + 30)
5 + 30 = 35:
10 - 35
10 - 35 = -(35 - 10):
-(35 - 10)
| 3 | 5
- | 1 | 0
| 2 | 5:
Answer: -25
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where
m = slope
c = intercept
The equation of the given line is
y = 47x - 3
Comparing with the slope intercept equation, m = 47
If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47
We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes
4 = 47× 14 + c
4 = 658 + c
c = 4 - 658 = - 654
The equation becomes
y = 47x - 654
Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
