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)
Answer:
there are 6 baby dinos and 2
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
adding -7 to 7, since they are both constants (no variable) gives you 0. Adding -5x and 5x since they both have an x term gives you 0x also written as 0 (0*any number is 0). this gives you a final answer of 0
Answer:
Step-by-step explanation:
Arc(AB) = 102 degrees
Arc(ADB) = 360 - 102 = 258
Answer:
the answer will be 3.5 i think
Step-by-step explanation: