Answer:
1) Factor form :
2) 8 second after launch.
Step-by-step explanation:
The height of the ball (in meters above the ground) t seconds after launch is modeled by
To find the time when ball hit the ground, we need to find the factor form of the given function.
When ball hi the ground, then height of the ball from the ground is 0.
Using zero product property, we get
Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.
At first the temperature will have to drop to a 0 whether it’s Fahrenheit or Celsius so that’s 21 degrees. To get to -3, that’s an extra three degrees dropped. So 21 plus 3 equals 24 degrees dropped.
By critically observing the graph, we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
In conclusion, there are four (4) points of intersection on this graph.
Read more on graphs here: brainly.com/question/25875680
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Answer:
Integers, Terminating Decimals, Recurring Decimals, Proper and Improper Fractions.
Step-by-step explanation:
The following subset of the real number system can be written in the form , b≠0.
Integers(ℤ): These are positive and negative whole numbers. For example, 5 can be written as
Terminating Decimals: These are fractions that when converted to decimal numbers have an end.
e.g.
Recurring Decimals: These are fractions that when converted to decimal numbers do not have an end.
e.g.
Proper Fractions: These are fractions of the form where a<b. An examples is
Improper Fractions: These are fractions of the form where a>b. An examples is