Well I don't get what the other parts of the question is asking, but they can make 240 packs of pencils.
Answer:
13. Linear Function
12. Absolute Value Function
11. Quadratic Function
10. Constant and Linear Function
Step-by-step explanation:
13. This graph is in Slope-Intercept Form, 
. The equation of this line is 
.
12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".
11. This graph is in the shape of a parabola, so it is considered "Quadratic".
10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of , and the equation of this line is 
, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.
I am joyous to assist you anytime.
Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
Answer:
A) Horsepower is the independent variable
D) The scatter plot shows a negative correlation
Step-by-step explanation:
Independent variable goes on the x-axis, it does not depend on another.
In this case, horsepower is the independent variable.
Negative correlation is a relationship between two variables in which one variable increases as the other decreases.
In this case, the scatter plot shows a negative correlation.
Answer:
Scale Factor = 2
Step-by-step explanation:
ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.
