7/8y +1/3 = 7/12 What does y equal?

2 answers:

8 0

1 Simplify \frac{7}{8}y
8

7
y to \frac{7y}{8}
8

7y

\frac{7y}{8}+\frac{1}{3}=\frac{7}{12}
8

7y
+
3

1
=
12

7

2 Subtract \frac{1}{3}
3

1
from both sides
\frac{7y}{8}=\frac{7}{12}-\frac{1}{3}
8

7y
=
12

7
−
3

1

3 Simplify \frac{7}{12}-\frac{1}{3}
12

7
−
3

1
to \frac{1}{4}
4

1

\frac{7y}{8}=\frac{1}{4}
8

7y
=
4

1

4 Multiply both sides by 88
7y=\frac{1}{4}\times 87y=
4

1
×8

5 Simplify \frac{1}{4}\times 8
4

1
×8 to \frac{8}{4}
4

8

7y=\frac{8}{4}7y=
4

8

6 Simplify \frac{8}{4}
4

8
to 22
7y=27y=2

7 Divide both sides by 77
y=\frac{2}{7}y=
7

2

fiasKO [112]3 years ago

4 0

7/8y + 1/3 = 7/12

y = 2/7

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Step-by-step explanation:

Given:

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parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

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Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$