Answer:It is 100 times as great in the ZIP code than it is in the area code
Step-by-step explanation:
step 1
Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500
Veronica 's uncle Area code= 775 = The value of 5 here represents 5 units--5
it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code
Step 2:
Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.
Answer:
starting from (0,0),go to the 6 units and up 1
Step-by-step explanation:
Is that all? My Algebra is freackin hard compared to this. Anyways, The way I understand this, is that we will have 3 (liters of water) +0.5 (half a liter of lemonade) =3.5 liters of liquid
so the question would be: how many times does fit into 3.5?
if you want to divide by a fraction, you need to multiply by the reverse of it.
so the answer is: 10 servings of lemonade ( and a little bit will be left over for half a serving).
Hope this helps!
<span>A piecewise function uses different rules for different intervals of the DOMAIN</span>
Answer:
![18x^2+85x+18 = 0](https://tex.z-dn.net/?f=18x%5E2%2B85x%2B18%20%3D%200)
Step-by-step explanation:
<u><em>Given Equation is </em></u>
=> ![2x^2+7x-9=0](https://tex.z-dn.net/?f=2x%5E2%2B7x-9%3D0)
Comparing it with
, we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β = ![-\frac{b}{a}](https://tex.z-dn.net/?f=-%5Cfrac%7Bb%7D%7Ba%7D)
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots = ![\frac{\alpha }{\beta } + \frac{\beta }{\alpha }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%20%7D%7B%5Cbeta%20%7D%20%2B%20%5Cfrac%7B%5Cbeta%20%7D%7B%5Calpha%20%7D)
Sum of Roots = ![\frac{\alpha^2+\beta^2 }{\alpha \beta }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%5E2%2B%5Cbeta%5E2%20%20%7D%7B%5Calpha%20%5Cbeta%20%7D)
Sum of Roots = ![\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Calpha%2B%5Cbeta%20%29%5E2-2%5Calpha%5Cbeta%20%20%20%7D%7B%5Calpha%5Cbeta%20%20%7D)
Sum of roots = ![(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B-7%7D%7B2%7D%20%29%5E2-2%28%5Cfrac%7B-9%7D%7B2%7D%20%29%20%2F%20%5Cfrac%7B-9%7D%7B2%7D)
Sum of roots = ![\frac{49}{4} + 9 /\frac{-9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B4%7D%20%2B%209%20%2F%5Cfrac%7B-9%7D%7B2%7D)
Sum of Roots = ![\frac{49+36}{4} / \frac{-9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B49%2B36%7D%7B4%7D%20%2F%20%5Cfrac%7B-9%7D%7B2%7D)
Sum of roots = ![\frac{85}{4} * \frac{2}{-9}](https://tex.z-dn.net/?f=%5Cfrac%7B85%7D%7B4%7D%20%2A%20%5Cfrac%7B2%7D%7B-9%7D)
Sum of roots = S = ![-\frac{85}{18}](https://tex.z-dn.net/?f=-%5Cfrac%7B85%7D%7B18%7D)
Product of Roots = ![\frac{\alpha }{\beta } \frac{\beta }{\alpha }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%20%7D%7B%5Cbeta%20%7D%20%5Cfrac%7B%5Cbeta%20%7D%7B%5Calpha%20%7D)
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=> ![x^2-Sx+P = 0](https://tex.z-dn.net/?f=x%5E2-Sx%2BP%20%3D%200)
=> ![x^2 - (-\frac{85}{18} )x+1 = 0](https://tex.z-dn.net/?f=x%5E2%20-%20%28-%5Cfrac%7B85%7D%7B18%7D%20%29x%2B1%20%3D%200)
=> ![x^2 + \frac{85}{18}x + 1 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%20%5Cfrac%7B85%7D%7B18%7Dx%20%2B%201%20%3D%200)
=> ![18x^2+85x+18 = 0](https://tex.z-dn.net/?f=18x%5E2%2B85x%2B18%20%3D%200)
This is the required quadratic equation.