Answer:
Multiplication -> Division
Squaring -> Square rooting
Cubing -> Taking the cube root
Addition -> Subtraction
Alternative:
* -> /
^2 -> √
+ -> -
^3 -> 3√
Basically, an inverse is a mathematical manipulation where one operation undoes the action of the other.
Answer:
There are two possibilities:
and ![y_{1} = 6.4](https://tex.z-dn.net/?f=y_%7B1%7D%20%3D%206.4)
and ![y_{2} = 3.5](https://tex.z-dn.net/?f=y_%7B2%7D%20%3D%203.5)
Step-by-step explanation:
Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:
![x + y = 9.9](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209.9)
![x^{2} + y^{2} = 53.21](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D%2053.21)
First,
is cleared in the first equation:
![x = 9.9 - y](https://tex.z-dn.net/?f=x%20%3D%209.9%20-%20y)
Now, the variable is substituted in the second one:
![(9.9-y)^{2} + y^{2} = 53.21](https://tex.z-dn.net/?f=%289.9-y%29%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D%2053.21)
And some algebra is done in order to simplify the expression:
![98.01-19.8\cdot y +2\cdot y^{2} = 53.21](https://tex.z-dn.net/?f=98.01-19.8%5Ccdot%20y%20%2B2%5Ccdot%20y%5E%7B2%7D%20%3D%2053.21)
![2\cdot y^{2} -19.8\cdot y +44.8 = 0](https://tex.z-dn.net/?f=2%5Ccdot%20y%5E%7B2%7D%20-19.8%5Ccdot%20y%20%2B44.8%20%3D%200)
Roots are found by means of the General Equation for Second-Order Polynomials:
and ![y_{2} \approx \frac{7}{2}](https://tex.z-dn.net/?f=y_%7B2%7D%20%5Capprox%20%5Cfrac%7B7%7D%7B2%7D)
There are two different values for
:
![y = y_{1}](https://tex.z-dn.net/?f=y%20%3D%20y_%7B1%7D)
![x_{1} = 9.9-6.4](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%209.9-6.4)
![x_{1} = 3.5](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%203.5)
![y = y_{2}](https://tex.z-dn.net/?f=y%20%3D%20y_%7B2%7D)
![x_{2} = 9.9 - 3.5](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%209.9%20-%203.5)
![x_{2} = 6.4](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%206.4)
There are two possibilities:
and ![y_{1} = 6.4](https://tex.z-dn.net/?f=y_%7B1%7D%20%3D%206.4)
and ![y_{2} = 3.5](https://tex.z-dn.net/?f=y_%7B2%7D%20%3D%203.5)
Answer:
![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
You need to add the amount Shawna & Ryan ate together, then subtract it from 1 to find the amount of pizza that was left for Dominic to eat.
+
= ?
Make all the denominators the same to add fractions.
is ![\frac{2}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D)
is ![\frac{3}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D)
+
= ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
1 -
= ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Convert this to slope-intercept form
subtract 1/4x,
3/4y=1-1/4x
then multiply my 4/3
y=4/3-1/3x
y=-1/3x+4/3
4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.
Answer:
Its the top right one
Step-by-step explanation:
The Min is 5, the Q1 is 7, the median is 9, the Q3 is 12, and the max is 15
Hope this helps