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Lemur [1.5K]
3 years ago
13

Bonus problem. Find the ratio a :b if it is given that 3a=8b​

Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

a:b = 8:3

Step-by-step explanation:

To find the ration, we want to get in equation in the form \frac{a}{b} =\frac{x}{y}.

We can start by dividing by b on both sides:

3a = 8b

÷b     ÷b

\frac{3a}{b} = 8

Now, we can divide by 3 on both sides to get:

\frac{a}{b} = \frac{8}{3}

We can change the format into a ratio:

a:b = 8:3

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Virty [35]

Answer:

y = -3/8(x + 2)^2 + 8

Step-by-step explanation:

vertex form is

y = a(x - b)^2 + c     where a is a constant and (b,c) is the vertex.

The maximum is at (-2, 8)  because x 8 = height and x =-2 is equn. of symmetry

So here we have

y = a(x - (-2))^2 + 8

y = a(x + 2)^2 + 8

Now at the point (-6, 2):

2 = a(-6+2)^2 + 8

2 = 16a + 8

16a = -6

1 = -3/8.

So our equation is y = 3/8(x + 2)^2 + 8

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3 years ago
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vazorg [7]
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