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Alisiya [41]
3 years ago
9

Solving equations on both sides so solve (3d+8=2d-17) how did you find youre answer

Mathematics
2 answers:
Leni [432]3 years ago
6 0
3d-2d=-17-8  | Like terms on each side

d=-25  | simplify 
inysia [295]3 years ago
3 0
It's important do do the same thing to both sides so the equation will stay equal
exg
3=3
multipy 4
12=12
still true


so 3d+8=2d-17
2d means 2 times d or d+d

so
3d+8=2d-17
subtract 2d from both sides
3d-2d+8=2d-2d-17
d+8=-17
subtract 8 from both sies
d=-25


d=-25
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amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

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