Answer:
- 3.6 pounds of granola and 5.4 pounds of nuts
Step-by-step explanation:
Let the required granola be x pounds, then amount of nuts is 9 - x.
<u>The price of the mixture is as below equation:</u>
- 6.5x + 9(9 - x) = 8*9
- 6.5x + 81 - 9x = 72
- 81 - 2.5x = 72
- 2.5x = 81 - 72
- 2.5x = 9
- x = 9/2.5
- x = 3.6
<u>Find the amount of nuts:</u>
Answer:
min = (4, -136) ; max = (-2,80)
Step-by-step explanation:
The option is B
Answer:
The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot
Step-by-step explanation:
the given equation is ![5y + 4 =(x+3)^{2} + \frac{1}{2}](https://tex.z-dn.net/?f=5y%20%2B%204%20%3D%28x%2B3%29%5E%7B2%7D%20%20%2B%20%5Cfrac%7B1%7D%7B2%7D)
Therefore we can write ![5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}](https://tex.z-dn.net/?f=5y%5Chspace%7B0.1cm%7D%20%3D%20%28x%2B3%29%5E%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20-%204%20%20%5Chspace%7B0.3cm%7D%20%20%20%5CRightarrow%20%20%5Chspace%7B0.2cm%7D%20%205y%20%3D%20%28x%2B3%29%5E%7B2%7D%20-%20%5Cfrac%7B7%7D%7B2%7D%20%20%20%5Chspace%7B0.3cm%7D%20%5CRightarrow%20%5Chspace%7B0.3cm%7D%20%20y%20%3D%20%5Cfrac%7B%28x%2B3%29%5E%7B2%7D%7D%7B5%7D%20-%20%5Cfrac%7B7%7D%7B10%7D)
To find the inverse of the above function let us replace x with y and y with x.
Therefore we get
![x = \frac{(y+3)^{2}}{5} - \frac{7}{10}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%28y%2B3%29%5E%7B2%7D%7D%7B5%7D%20-%20%5Cfrac%7B7%7D%7B10%7D)
Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function
![y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}](https://tex.z-dn.net/?f=y%20%3D%20%5Cpm%20%5Csqrt%7B5%20%28x%20%2B%20%5Cfrac%7B7%7D%7B10%7D%20%29%7D%20%5Chspace%7B0.1cm%7D%20-%20%5Chspace%7B0.1cm%7D%203%20%5Chspace%7B0.1cm%7D%20%5CRightarrow%5Chspace%7B0.1cm%7D%20%20y%20%3D%20%20%5Cpm%20%5Csqrt%7B5x%20%2B%20%5Cfrac%7B7%7D%7B2%7D%20%7D%20%20-%20%5Chspace%7B0.1cm%7D%203%20%5Chspace%7B0.1cm%7D)
Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , ![y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cpm%20%5Csqrt%7B5x%20%2B%20%5Cfrac%7B7%7D%7B2%7D%20%7D%20%20-%20%5Chspace%7B0.1cm%7D%203%20%5Chspace%7B0.1cm%7D)
the answer would be4.7^-10^4
Answer:
Step-by-step explanation:
sec= x
cross multiply
60 mb x 2
120 mb/29 sec