Answer:
The first one is x=-y-2z-7
The second one is x=-1/3y + 1/3z + -4/3
The third one is x= 3y + 2z + 17
Answer: C. 2
Step-by-step explanation:
Slope is calculated by y2-y1 over x2-y1. If we plug the numbers in we will get 6 over 3 as our slope which simplifies to our answer 2.
The graph Plot of the given results shown represents; A relation only
<h3>How to interpret a scatter plot?</h3>
For it to be a function, then no x-value can produce more than 2 y-values. However, we see that at x = 25, y has 2 values. Similarly, at x = 15, y has two values.
Thus, the graph plot can only be a relation as it is not a function as seen from the points plotted in the graph.
The complete question is;
Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent?
A. both a relation and a function
B. a function only
C. neither a relation nor a function
D. a relation only
Read more about Scatter Plot at; brainly.com/question/6592115
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Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
Hi there!
![\large\boxed{\text{Average rate} = 2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Ctext%7BAverage%20rate%7D%20%3D%202%7D)
Use the following equation to solve:
![\text{Average rate} = \frac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%7D%20%3D%20%5Cfrac%7Bf%28x_%7B2%7D%29%20-%20f%28x_%7B1%7D%29%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D)
Solve for the y-values of the equation at the given x values:
f(1) = 1² - 4(1) + 10 = 7
f(5) = 5² - 4(5) + 10 = 15
Plug the solved values into the equation:
![\text{Average rate} = \frac{15 - 7}{5-1}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%7D%20%3D%20%5Cfrac%7B15%20-%207%7D%7B5-1%7D)
Simplify:
![\text{Average rate} = \frac{8}{4} = 2](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%7D%20%3D%20%5Cfrac%7B8%7D%7B4%7D%20%3D%202)