Answer:
A reasonable estimate for the solution is the point (1.1,-1.9)
Step-by-step explanation:
we have
-----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the interection point both graphs
using a graphing tool
The solution is the point (1.091,-1.818)
see the attached figure
therefore
A reasonable estimate for the solution is the point (1.1,-1.9)
Answer: the number of minutes of long distance call that one can make is lesser than or equal to 12 minutes.
Step-by-step explanation:
Let x represent the number of minutes of long distance call that one makes.
The first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call cost $0.45. This means that if x minutes of long distance call is made, the total cost would be
2.10 + 0.45(x - 3)
Therefore, the inequality to find the number of minutes one can call long distance for $6.15 is expressed as
2.10 + 0.45(x - 3) ≤ 6.15
2.10 + 0.45x - 1.35 ≤ 6.15
0.75 + 0.45x ≤ 6.15
0.45x ≤ 6.15 - 0.75
0.45x ≤ 5.4
x ≤ 5.4/0.45
x ≤ 12
Answer:
C) A person's height, recorded in inches
Step-by-step explanation:
Quantitative Variable:
- A quantitative variable is a variable which can be measured and have a numeric outcome.
- That is the value of variable can be expressed with numbers.
- Foe example: age, length are examples of quantitative variables.
A) The color of an automobile
The color of car is not a quantitative variable as its outcome cannot be measured and expressed in value. It is a categorical variable.
B) A person's zip code
Some variables like zip codes take numerical values. But they are not considered quantitative. They are considered as a categorical variable because average of zip codes have no significance.
C) A person's height, recorded in inches
Height is a qualitative variable because it can be measured and its value is expressed in numbers.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.
_____
If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.
