The Amar family drives 90 miles in 2 hours, as shown on the double number line below.
2 answers:
You might be interested in
Explanation
Problem #2
We must find the solution to the following system of inequalities:
(1) We solve for y the first inequality:
Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:
The solution to this inequality is the set of all the points (x, y) over the line:
This line has:
• slope m = 3/2,
,• y-intercept b = -2.
(2) We solve for y the second inequality:
The solution to this inequality is the set of all the points (x, y) below the line:
This line has:
• slope m = -1/3,
,• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,• and below the line from point (2),
we get the following graph:
AnswerThe points that satisfy both inequalities are given by the intersection of the blue and red regions:
Answer:
Option (2)
Step-by-step explanation:
Given expression is ÷
We further simplify this expression,
÷
=
=
=
Therefore, will be the quotient of the given expression.
and
for which the given expression is not defined.
Option (2) will be the answer.