Answer:
(3,2)
Step-by-step explanation:
take negative from inside bracket as x and contant outside as y, and done
The fraction should be as such.
Likelihood of white: 6/19
Answer:
Two points on the line would be (0, -4) and (4, -7)
Step-by-step explanation:
In order to find this, we can start at the y-intercept. The y-intercept is the constant at the end of the equation. In this case it is -4, which gives us the first point of (0, -4).
We can find the second point by using the numerator of the slope to determine how much we go up or down (-3) and the denominator for how much we go left to right (4). So we add the 4 to the x value and add the -3 to the y value.
(4, -7)
<u><em>Note: As you may have unintentionally missed to add the value choices. But, I would make sure to explain the concept so that you may improve your understanding in terms of solving these type of questions.</em></u>
Answer:
Any value other than the values 
will not be a solution of 
.
Step-by-step explanation:
Considering the equation
Steps to solve the equation
As
![\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%7Dx%5E3%3Df%5Cleft%28a%5Cright%29%5Cmathrm%7B%5C%3Athe%5C%3Asolutions%5C%3Aare%5C%3A%7Dx%3D%5Csqrt%5B3%5D%7Bf%5Cleft%28a%5Cright%29%7D%2C%5C%3A%5Csqrt%5B3%5D%7Bf%5Cleft%28a%5Cright%29%7D%5Cfrac%7B-1-%5Csqrt%7B3%7Di%7D%7B2%7D%2C%5C%3A%5Csqrt%5B3%5D%7Bf%5Cleft%28a%5Cright%29%7D%5Cfrac%7B-1%2B%5Csqrt%7B3%7Di%7D%7B2%7D)
![x=\sqrt[3]{\frac{1}{8}},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1-\sqrt{3}i}{2}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%7D%2C%5C%3Ax%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%7D%5Cfrac%7B-1%2B%5Csqrt%7B3%7Di%7D%7B2%7D%2C%5C%3Ax%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%7D%5Cfrac%7B-1-%5Csqrt%7B3%7Di%7D%7B2%7D)
So,
Therefore,
Any value other than the values will not be a solution of .
Keywords: solution, value
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Answer:
Demand: q = -50p + 1200
Supply: q = 40p
Step-by-step explanation:
First let's define our variables.
q = quantity of T-shirts
p = price
We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:
q - 600 = -50 (p - 12)
Converting to slope-intercept form:
q - 600 = -50p + 600
q = -50p + 1200
Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:
q - 390 = 40 (p - 9.75)
Converting to slope-intercept form:
q - 390 = 40p - 390
q = 40p
