For this case we must factor the following expression:
![3k ^ 2-19 = 15k-1](https://tex.z-dn.net/?f=3k%20%5E%202-19%20%3D%2015k-1)
We manipulate algebraically, taking into account that different signs are subtracted and the sign of the major is placed:
![3k ^ 2-15k-19 + 1 = 0\\3k ^ 2-15k-18 = 0](https://tex.z-dn.net/?f=3k%20%5E%202-15k-19%20%2B%201%20%3D%200%5C%5C3k%20%5E%202-15k-18%20%3D%200)
We divide by 3 on both sides of the equation:
![k ^ 2-5k-6 = 0](https://tex.z-dn.net/?f=k%20%5E%202-5k-6%20%3D%200)
To factor, we look for two numbers that, when multiplied, result in -6 and when added, result in -5. These numbers are -6 and +1.
![-6 + 1 = -5\\-6 * (+ 1) = - 6](https://tex.z-dn.net/?f=-6%20%2B%201%20%3D%20-5%5C%5C-6%20%2A%20%28%2B%201%29%20%3D%20-%206)
Thus, we factor the equation:
![(k-6) (k + 1) = 0](https://tex.z-dn.net/?f=%28k-6%29%20%28k%20%2B%201%29%20%3D%200)
The roots of the equation are:
![k_ {1} = 6\\k_ {2} = - 1](https://tex.z-dn.net/?f=k_%20%7B1%7D%20%3D%206%5C%5Ck_%20%7B2%7D%20%3D%20-%201)
ANswer:
![k_ {1} = 6\\k_ {2} = - 1](https://tex.z-dn.net/?f=k_%20%7B1%7D%20%3D%206%5C%5Ck_%20%7B2%7D%20%3D%20-%201)
Answer:
F(6) = 3
Step-by-step explanation:
F(x) = -3x + 21
F(6) = -3(6) + 21 = -18 + 21 = 3
Answer:
<em>The shop made a profit about $40.</em>
<em>Step-by-step explanation:</em>
<em>Now, According to the question We know that :</em>
<em>The shop marked the $200 price up by 60%.</em>
<em>60% of $200 is = $120. </em>
<em>Now, the price is = $320 because, 200 + 120 = 320. </em>
<em />
<em>Joseph bought the tennis racket at 25% off.</em>
<em>25% of $320 is = $80.</em>
<em>Now, the discount price is = $240 Because, 320 - 80 = 240.</em>
<em />
<em>So, Joseph bought the racket for = $240.</em>
<em />
<em>Now we know that the original price from the factory was $200.</em>
<em>Joseph bought it for $240.</em>
<em>So, the shop made a profit of $40.</em>
For 21 Oz, price is 2.94
So, for 1 Oz, it would be: 2.94 / 21 = 0.14
In short, Your Answer would be $0.14 cereal per oz.
Hope this helps!