Solve the inequality and sketch the solution on a number line for 3 x < -18
1 answer:
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Answer:
<em>c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further.</em>
Step-by-step explanation:
<u>Function Modeling</u>
Let's take a look at both functions provided by the problem:
We are told that f(x) represents a student's displacement from school. We notice the following changes in g(x) with respect to f(x)
- All the expressions in parentheses represent a displacement of -10 units in x. If x is time, then in g(x), the time is 10 minutes later than in f(x)
- The factor that multiplies the three parentheses is 1 in f(x) and -0.5 in g(x). If that factor is the speed, then in g(x) the speed is half the speed in f(x) and in the opposite direction. The distance will be half of the distance of f because the student moves slower.
- g(x) has an offset of +6, meaning the object is initially 6 miles further.
The option that collects all the conditions observed in both functions is:
c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further
Answer:
The value of y is: 7
Step-by-step explanation:
The figure of the rectangle ABCD is attached to the answer.
We are given that Parallelogram ABCD is a rectangle.
AC=6y−1
BD=4y+13
Diagonal BD and AC intersect each other at a point labeled as X.
Also we know that: The two diagonals of a rectangle are equal in length and bisect each other.
i.e. length of AC=BD
Hence 6y-1=4y+13
⇒ 6y-4y=13+1
⇒ 2y=14
⇒ y=7
Hence, AC=6×7-1=42-1=41
BD=4×7+13=41
Hence, the value of y is 7.
