we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
<h3>
Which function is the one described by the table?</h3>
A general linear equation is given by:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through (x₁, y₁) and (x₂, y₂), then the slope is given by:
Here we can use just the first two points on the given line:
(-8, -2) and (-4, 0)
Then the slope will be:
Then the linear equation is something like:
y = (1/2)*x + b
To find the value of b, we can use one of the two given points, I will use (-4, 0), then:
0 = (1/2)*(-4) + b
0 = -2 + b
2 = b
Then we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
Then the correct option is the first one.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
meters.
Step-by-step explanation:
We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.
We are also given a table of data as:
Time (minutes) Altitude (meters)
6 -20.4
9 -27.6
12 -34.8
First of all, we will find Mr. Mole's digging rate using slope formula and given information as:
, where,
represents difference of two y-coordinates,
represents difference of two corresponding x-coordinates of y-coordinates.
Let 
be 
and 
be 
.
Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.
, where,
m = Slope,
b = The initial value or the y-intercept.
Upon substituting and coordinates of point , we will get:
Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is meters.
Exponential laws
![x^{\frac{m}{n}}=\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20)
so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)=
![\sqrt[3]{m^{1}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bm%5E%7B1%7D%7D%20)
=
![\sqrt[3]{m}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bm%7D%20)
Answer:
39
Step-by-step explanation:
6x-15+3x+6=90
Simplify: 9x-9=90
9x=99
x=11
3(11)+6
33+6
<H= 39
Answer:
1). 0.625
2). 0.5
3). 0.6
4). 1.75
5). 0.6666 (repeating decimal)
hope this helped!
