Answer:
The first graph would be correct
Step-by-step explanation:
The slopes of the relationships are given as follows:
6. 5.
7. 1.
<h3>What is the complete question?</h3>
The problem is incomplete, as the tables are not readable, but researching it on a search engine, we find that:
- For item 6, we have points (2,8) and (6,28).
- For item 7, we have points (-6,5) and (4,10).
<h3>How to find the slope of a line given two points?</h3>
Given two points in the format (x,y), the slope of the line is given by change in y divided by change in x.
Hence, the slopes for each problem are given as follows:
6. m = (28 - 8)/(6 - 2) = 20/4 = 5.
7. m = (10 - 5)/(4 - (-6)) = 10/10 = 1.
More can be learned about the slope of a line at brainly.com/question/24808124
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Similarities:
Have a consistent change for every interval can be represented as functions of a variable points lie on a line.
Differences: linear equations represent all solutions to all x values, whereas arithmetic sequences pick integer spacing
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
