Step-by-step explanation:
the standard measure for speed is
miles per hour.
now we got as measurement
3 miles per 1/4 hour.
to give the standard speed or "unit rate" we assume that the bicyclist maintains the same speed for a whole hour.
and the question is : how many miles is he traveling then in that 1 hour ?
to answer this we have to check how often the actually measured unit of time fits into 1 hour.
1/4 hour fits 4 times into 1 hour.
and that factor applies now also to the miles to keep the value of the rate or ratio unchanged :
miles/time × a/a = miles×a/(time×a)
so that (time×a) = 1 hour
and so, he traveled 3×4 = 12 miles per hour.
Answer:
Option C. will be correct.
Step-by-step explanation:
The equations of straight lines are given as
3y - 5x = 15 ........... (1)
And, 6y - 10x = 30 ......... (2)
If we divide the equation (2), by 2 then we will get 3y - 5x = 15 which is nothing but the equation (1).
Therefore, those two equations (1) and (2) represents the same straight line.
Now, from equation (1), we can write .
This is an equation of a straight line in slope-intercept form and here slope is positive.
Therefore, Option C. will be correct. (Answer)
C.) -4/5 because you simplify the top
Answer:
A. The graph of is the graph of stretched vertically, flipped over the x axis, and shifted 7 units down.
Step-by-step explanation:
Given:
In order to transform to , we need to follow the following transformation rules:
1. Multiply the function by the number 2. According to transformation rules, multiplying a function by a positive number greater than 1 results in vertical stretch of the function's graph.
2. Multiply by -1. Multiplying a function by -1 flips it over the x axis.
3. Add -7 to the function obtained in step 2. When a negative number C is added to a function, then the graph shift down by C units. So, here the graph shifts down by 7 units.
Thus, the graph of is the graph of stretched vertically, flipped over the x axis, and shifted 7 units down.