The sum of two consecutive integers is -33. What are the numbers?
1 answer:
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Answer:
Part 1) 300 miles
Part 2) 420 miles
Part 3) 600 miles
Step-by-step explanation:
we have
where
d(x) is the distance in miles
x is the time in hours
Part 1) How many miles will he have traveled after 3 more hours?
we know that
To find the distance, substitute the value of x in the function
so
For x=3 hours
For x=3, d(x)=300
That means -----> After 3 hours Carlos has traveled 300 miles at a constant speed of 60 mph
Part 2) How many miles will he have traveled after 5 more hours?
we know that
To find the distance, substitute the value of x in the function
so
For x=5 hours
For x=5, d(x)=420
That means -----> After 5 hours Carlos has traveled 420 miles at a constant speed of 60 mph
Part 3) How many miles will he have traveled after 8 more hours?
we know that
To find the distance, substitute the value of x in the function
so
For x=8 hours
For x=8, d(x)=600
That means -----> After 8 hours Carlos has traveled 600 miles at a constant speed of 60 mph
Equation has no true solutions.
Given:
squaring both sides
=-2y-3
+ 2y = -2y - 3
+ 2y + 4 = 0
(y+2)(y+2) = 0
y = -2
TO VERIFY:
The law cos(x+90⁰)=-sin(x) can be proved by putting y=90⁰ in the following
Formula,
cos(x+y)=cos(x).cos(y)-sin(x).sin(y)
substitute value of y in equation
gives:
-1 = 1 which is incorrect.
Therefore, There are no solutions to the equation.
Alternatively,
If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. This type of system of equations is called an inconsistent pair of linear equations. If we plot the graph, the lines will be parallel and system of equations have no solution.
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