Maros runs one mile in 7.5 minutes.If he spends a total of 30 minutes running at the same pace, how many miles will he complete?
2 answers:
You might be interested in
2x-3y-5=0
2x-5=3y
3y=2x-5
y=
Gradient of line 1 =
Gradient of line 2;
2x-5=3y
3y=2x-5
y=
Gradient of line 1 =
Gradient of line 2;
Step-by-step explanation:
Just graph it and see if the descriptions fit the graph
(see attached)
A. We can see from the graph that the possible x-values are -∞ ≤ x ≤ +∞ . Hence limiting to domain to x≤ -2 this is obviously not true.
B. We can see from the graph that the vertex is y = 6 and that the entirety of the graph is under this point, hence range y<6 is true
C. We can see that the vertex is located at x=-2. Every part of the graph to the left of this point has a positive slope, hence the function is increasing for negative infinity to this point x=-2 is true
D) We can see that for the interval -4<x<∞, the graph actually increases between -4<x<-2, and then decreases after that. Hence this statement is not true.
E. it is obvious that the y intercept is y=2 which is positive. Hence this is true.
Given:
The image of the point (0,7) under a translation is (−2,5).
To find:
The coordinates of the image of the point (5,−2) under the same translation.
Solution:
It is given that, the image of the point (0,7) under a translation is (−2,5). Here, the x-coordinate decreased by 2 and the y-coordinate decreased by 2 so the rule of translation is:
Using this rule of translation, the image of (5,−2) is
Therefore, the coordinates of the image of the point (5,−2) under the same translation are (3,-4).