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Lilit [14]
3 years ago
6

1. two positive numbers are in

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Answer:

12

Step-by-step explanation:

the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then

3(3x) + 2(4x) = 68 , that is

9x + 8x = 68

17x = 68 ( divide both sides by 17 )

x = 4

smaller number = 3x = 3 × 4 = 12

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Hope this helps!

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4 years ago
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3 years ago
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Write the equation of the parabola in vertex form.<br> vertex (3,1), point (2, - 6)<br> f(x) =?
Romashka [77]

Answer:

f(x)=-7(x-3)^2+1

Step-by-step explanation:

Vertex form of a quadratic is given by:

f(x)=a(x-h)^2+k

Where (h, k) is the vertex and <em>a</em> is the leading coefficient.

We are given that the vertex is (3, 1). Hence, <em>h</em> = 3 and <em>k </em>= 1. By substitution:

f(x)=a(x-3)^2+1

We are also given a point (2, -6). This means that when <em>x </em>= 2, <em>f(x)</em> = -6. Hence:

-6=a((2)-3)^2+1

Solve for <em>a</em>. Subtract:

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-6=a+1

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7 0
3 years ago
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