For question 40 the answer is B
Answer:
The two such fractions are: 113/100 and -22/25.
Step-by-step explanation:
Let us assume two such fractions are P and Q.
⇒ P x Q = -1
and P + Q = 1/4
Now, to solve for the values of P and Q:
P + Q = 1/4 ⇔ Q = 1/4 - P
Substitute this value of Q in P x Q = -1, we get:
P x Q = -1
![P \times (\frac{1}{4} - P ) = -1\\\implies\frac{P}{4} -P^2 = -1\\\implies P - 4P^2 = -4\\\implies 4P^2 -P -4 = 0](https://tex.z-dn.net/?f=P%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B4%7D%20%20-%20P%20%29%20%20%3D%20-1%5C%5C%5Cimplies%5Cfrac%7BP%7D%7B4%7D%20%20-P%5E2%20%3D%20-1%5C%5C%5Cimplies%20P%20-%204P%5E2%20%3D%20-4%5C%5C%5Cimplies%204P%5E2%20-P%20-4%20%3D%200)
Now, solving this with the help of QUADRATIC Formula:
![x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
We get: P = 1.13 or P = -0.8825
Now, if P = 1.13, Q = -1/1.13 = -0.88 = -88/100 = -22/25
If P = -0.88, then Q = 1/0.88 = 1.13 = 113/100
Hence, The two such fractions are: 113/100 and -22/25.
the answers is -4 ... i think
Answer:
4 cups of water
Step-by-step explanation:
all they asked was how many cups were used and they said four
Answer:
The answer is y.
Step-by-step explanation: