Answer: ? = 0.14
Step-by-step explanation:
So you need to find the value that fits the question mark. This means you have to get it by itself.
To start you subtract 0.4 from 0.546, which equals .146. Then you subtract 0.006 from 0.146 to get 0.14
What it looks like mathematically :
0.546 = 0.4 + ? + 0.006
0.146= ? + 0.006
0.14=?
Hopes this helps :)
Answer: Option a.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
Find the slope of the line with this formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Choose two points from the table and substitute the coordinates into the formula. Then, the slope is:
![m=\frac{32-64}{4-0}=-8](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B32-64%7D%7B4-0%7D%3D-8)
By definition, the line intersects the y-axis when the value of "x" is zero. So, based on the table, the y-intercept is:
![b=64](https://tex.z-dn.net/?f=b%3D64)
Then the equation of the line is:
![y=-8x+64](https://tex.z-dn.net/?f=y%3D-8x%2B64)
The line intersects the x-axis when the value of "y" is zero, then substituting y=0 into the equation of this line, and solving for "x", you get:
![0=-8x+64\\\\-64=-8x\\\\x=8](https://tex.z-dn.net/?f=0%3D-8x%2B64%5C%5C%5C%5C-64%3D-8x%5C%5C%5C%5Cx%3D8)
So, the point of intersection with the x-axis is:
![(8,0)](https://tex.z-dn.net/?f=%288%2C0%29)
Since the table shows the amount of air leaking from an inflatable as a function of time, you can conclude that meaning of the x-intercept in this scenario is: "The time it takes all the air to leave the inflatable".
Answer:
<h3>9x - 9</h3>
Step-by-step explanation:
9(x + 10 ) -99
9x + 9 × 10-99
<h3>9x + 90-99</h3>
<u>9x</u><u> </u><u>-</u><u> </u><u>9</u><u> </u><u> </u><u> </u><u> </u><u> </u>
G(x) = 1 - 2x²
The domain: x ∈ R /all real numbers/