Answer: She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.
Step-by-step explanation:
Martin:
360 calories / 30 min = 12 calories/min
Paul:
165 calories / 15 min = 11 calories/min
Kara:
Needs to burn between 11 and 12 calories/min, so we'll calculate the range:
11 calories/min x 20 min = 220 calories (minimum # calories she can burn)
12 calories/min x 20 min = 240 calories (maximum # calories she can burn)
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
Answer:
Use the app desmos is really good
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
You need to analize the information given in the exercise.
You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:
Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:
Therefore, she spent $1.25 per song. This means that the slope is:
Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:
Answer:
Blue Line’s Slope: -4/2
Green Line’s Slope: -4/2
Step-by-step explanation:
The slope of the line is the rise over run, or in this case the fall over run.
<h2><u>Hope This Helped!</u></h2>
