Answer:
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Step-by-step explanation:
First, we can graph these inequalities out. As you can see in the picture, the three vertices where the inequalities all connect form a triangle. We can check each of these vertices to find our minimum and maximum.
First, we have (3,7). 4y-3x = 4(7)-3(3)=28-9=19
Next, for (3, -3), we have 4y-3x = 4(-3)-3(3) = -12-9=-21
Finally, for (0.5, 2), we have 4y-3x=4(2)-3(0.5)=8-1.5 = 6.5
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Considering the conversion from exponent to radical, the equation that justifies why the expression ![9^{\frac{1}{3}} = \sqrt[3]{9}](https://tex.z-dn.net/?f=9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B9%7D)
is correct is.
<h3>How is the conversion from exponent to radical realized?</h3>
The conversion of rational exponents to radical notation is modeled by:
![a^{\frac{n}{m}} = \sqrt[m]{a^n}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D%20%3D%20%5Csqrt%5Bm%5D%7Ba%5En%7D)
In this problem, the expression is:
And the equation that shows that this is correct is:
More can be learned about the conversion from exponent to radical at brainly.com/question/19627260
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ABC ~ A’B’C’
So, AB=A’B’ , BC=B’C’ , AC = A’C’
Given, AB=15 and A’C’=4
So, AC = 4 , A’B’ = 15
The product of two positive fractions are also less than one because you are multiplying a number which is already less than 1.
For example.
1/ 2 = is 50% of a whole.
When you multiply 1/2 by 1/2 you do not get the 100% of the whole because you are only getting 50% of the 50% of the whole, which in turn is equivalent to 25% of the whole.
1/2 * 1/2 = 1/4 of the whole.
The only time you can get a result of 1 and above where two fractions are less than 1 is when you perform addition of these fractions.
1/2 + 1/2 = 1 - ALL CREDITS GO TO @TASKMASTERS!
55 is the estimated answer
