Answer:
The answer to your question is the last option
Step-by-step explanation:
Quadratic equation
2 = - x + x² - 4
Order the equation from the highest power to the lowest power. Do not consider 2 because it is not consider in the options given.
x² - x - 4 = 0
Identify a, b and c
(1) x² -(1) x - 4 = 0
a = 1 b = -1 c = - 6
Substitution
![\frac{-(-1) +- \sqrt{(-1)^{2} - 4(1)((-4)}}{2(1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-1%29%20%2B-%20%5Csqrt%7B%28-1%29%5E%7B2%7D%20-%204%281%29%28%28-4%29%7D%7D%7B2%281%29%7D)
Answer:
q is false
Step-by-step explanation:
or 0.167 pounds more butter was used than sugar
<em><u>Solution:</u></em>
Given that, Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a pound of sugar
<em><u>To find: Amount of butter used than sugar</u></em>
From given information,
![\text{Butter used} = \frac{2}{3} \text{ pound }](https://tex.z-dn.net/?f=%5Ctext%7BButter%20used%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctext%7B%20pound%20%7D)
![\text{Sugar used } = \frac{1}{2} \text{ pound }](https://tex.z-dn.net/?f=%5Ctext%7BSugar%20used%20%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctext%7B%20pound%20%7D)
To find how much butter is used than sugar, find the difference between them
![Difference = Butter\ used - Sugar\ used](https://tex.z-dn.net/?f=Difference%20%3D%20Butter%5C%20used%20-%20Sugar%5C%20used)
![Difference = \frac{2}{3} - \frac{1}{2}\\\\Difference = \frac{2 \times 2-1 \times 3}{3 \times 2}\\\\Difference =\frac{4-3}{6}\\\\Difference =\frac{1}{6} = 0.167\\\\](https://tex.z-dn.net/?f=Difference%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20-%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5CDifference%20%3D%20%5Cfrac%7B2%20%5Ctimes%202-1%20%5Ctimes%203%7D%7B3%20%5Ctimes%202%7D%5C%5C%5C%5CDifference%20%3D%5Cfrac%7B4-3%7D%7B6%7D%5C%5C%5C%5CDifference%20%3D%5Cfrac%7B1%7D%7B6%7D%20%3D%200.167%5C%5C%5C%5C)
Thus
or 0.167 pounds more butter was used than sugar
Answer:
mATHeMaTics is Very FUN
Step-by-step explanation:
When coding the word OUCH using the Bacon's code alphabet with binary numbers we have:
O=01110
U=10100
C=00010
H=00111
Following the rule of lowercase and uppercase letters in the dummy message we will have:
O U C H
0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1
m A T H e M a T i c s i s V e r y F U N