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Dimas [21]
3 years ago
14

Someone please help!! I’ll give brainliest:))

Mathematics
1 answer:
Allisa [31]3 years ago
8 0
I’ve attached my work...
Hope it helps! Have a nice day :)

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
telo118 [61]

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}

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}

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}

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}

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}

8 0
3 years ago
Read 2 more answers
Solve <br> 2x + 4 ( 2x + 7 ) + 3 (2x + 4)
horsena [70]
2x+4(2x+7)+3(2x+4)
2x+8x+28+6x+12
16x+40

16x+40 would be the answer you can’t solve it any further
4 0
3 years ago
Read 2 more answers
74 ÷ 2072= <br> PLEASE HELPPPP
Anon25 [30]

Answer:

0.0357142857142857

8 0
3 years ago
Read 2 more answers
What measurement is equelvent to 3 meters
Lelu [443]

Answer:

The Chi and Zhang were units of length equivalent to approximately 25 centimeters (9.8 inches) and 3 meters (9.8 feet) respectively.

Step-by-step explanation: 300 centimeters if you need metric measurements.

4 0
3 years ago
What's is the square root of 63
QveST [7]
You want to be finding out what two factors (where one of them is a perfect square) has the produce of 63. It seems like 9 x 7 (9 is the perfect square) works.

\sqrt{63} =  \sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7}

The square root of 9 is 3 so we can just have 3 \sqrt{7} (which just means 3 times the square root of 7). 

3 0
3 years ago
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