Answer:
<h2> 245miles</h2>
Step-by-step explanation:
Step one:
given that the first 3 hours the train travels at a speed of 45 mph.
i.e Time = 3 hours
speed =45 mph
distance=?
we know that speed = distance/time
distance= speed*time
distance= 45*3
distance=135miles
Step two:
For the nex two hours it travels at 55 mph
i.e time= 2hours
speed= 55mph
distance=?
distance= speed*time
distance= 2*55
distance= 110mile
Step three:
Hence for a total of 5 hours drive, the total distance covered is
135+110= 245miles
Using the continuity concept, it is found that the function is continuous for all real values.
<h3>What is the continuity concept?</h3>
A function f(x) is continuous at x = a if it is defined at x = a, and:
In this problem, we are given a piece-wise function, hence we have to look at the points where the definition of the function changes. In this problem, it can only be discontinuous at x = 0, which we have to verify.
Then:
.
.
.
The 3 values are equal, hence the function is continuous at x = 0 and for all real values.
More can be learned about the continuity of a function at brainly.com/question/24637240
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Answer:
280
Step-by-step explanation:
2/3 * 42 = 28
28 * 10 = 280
Answer:
Can i see picture so i can help you please?
Step-by-step explanation:
slope intercept form - (y = mx + b)
slope (m) is (3/2) So, y = 3/2x + b
To find b you plug in the x and y value (2,7)
7 = 3/2 × 2 + b
Isolate x on one side by finding the value of 3/2 × 2 which is 3.
Subtract 3 from both sides which leaves you with 4 = b, so the value of b is 4
Now the slope intercept form is (y = 3/2x + 4)
