E^2x - e^x -56 =0
(E^x - 8) (e^x + 7) = 0
E^x - 8 = 0
E^x +7 = 0
X = ln8 or x = 2.07944154...
<span>If 5x+x2>100
then x is not 7
proof
for x=7, 35+49 <100
</span>
The modified recipe will make 14 servings.
Step-by-step explanation:
Given,
Eggs used = 3
Servings made = 6
Ratio of eggs to servings = 3:6
Eggs used in modified recipes = 7
Let,
x be the number of servings = x
Ratio of eggs to servings = 7:x
Using proportion;
Eggs to servings :: Eggs to servings
3:6::7:x
Product of mean = Product of extreme
![6*7=3*x\\42=3x\\3x=42](https://tex.z-dn.net/?f=6%2A7%3D3%2Ax%5C%5C42%3D3x%5C%5C3x%3D42)
Dividing both sides by 3
![\frac{3x}{3}=\frac{42}{3}\\x=14](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B42%7D%7B3%7D%5C%5Cx%3D14)
The modified recipe will make 14 servings.
Keywords: ratio, proportion
Learn more about proportion at:
#LearnwithBrainly
A number is even if it ends with an even digit, so 8 must be the last one.
Now, the digits to the left are more worth than those on the right, so if you want a big number you have to stack the greatest digits to the left, otherwise if you want a small number you have to stack the smallest digits to the left.
So, the greatest number is 7538, the smaller is 3578.