What is the y-intercept in the equation y=4x-3?
2 answers:
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Answer:
Step-by-step explanation:
Given
Rate = 130.16 miles for 5 gallons
Required
Number of gallons used for a journey of 60 miles
The rate in miles per gallon is calculated as:
When distance = 130.16 and gallons = 5, we have:
When distance = 60 miles.
Substitute 60 for distance and 26.032 for rate in
Cross Multiply
--- <em>approximated</em>
Answer:
Step-by-step explanation:
To simplify or to write in the form a+bi, you will need multiply the top and bottom by the bottom's conjugate like so:
Keep in mind when multiplying conjugates you only have to multiply first and last.
That is the product of (a+b) and (a-b) is (a+b)(a-b)=a^2-b^2.
(a+b) and (a-b) are conjugates
Let's multiply now:
i^2=-1
Answer:
The speed of current is 7 miles per hour
Step-by-step explanation:
Given as :
The distance cover by boat in downstream = D = 147 miles
The distance cover by boat in upstream = d = 147 miles
The time taken in downstream trip = T = 7 hours
The time taken in upstream trip = t = 21 hours
Let The speed of boat in still water = x mi/h
And The speed of current = y mi/h
The speed in downstream = S = (x + y) mi/h
The speed in upstream = s = (x - y) mi/h
<u>Now, According to question</u>
∵ Distance = speed × time
<u>For downstream</u>
D = S × T
Or, 147 miles = (x + y) mi/h × 7 hours
i.e 7 (x + y) = 147
Or, x + y =
∴ x + y = 21 ........A
<u>For upstream</u>
d = s × t
Or, 147 miles = (x - y) mi/h × 21 hours
i.e 21 (x - y) = 147
Or, x - y =
∴ x - y = 7 .......B
Now, Solving equations A and B
So, (x + y) + (x - y) = 21 + 7
Or, (x + x) + (y - y) = 28
Or, 2 x + 0 = 28
∴ x =
i.e x = 14 miles per hour
The speed of boat in still water = x = 14 mi/h
Now, putting the value of x into eq B
So, y = x - 7
Or, y = 14 - 7
i.e y = 7 miles per hour
The speed of current = y = 7 mi/h
Hence, The speed of current is 7 miles per hour . Answer