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3 years ago

Find the value of Y that makes the fraction equivalent

Mathematics

2 answers:

Bumek [7]3 years ago

8 0

Y = 85

the fraction is 85/45

melamori03 [73]3 years ago

8 0

Answer:

y=85

Step-by-step explanation:

To make the fraction eqivalent you need to multiply both the denominator and the numerator by the same number. So you need to find that number.

For that you find what number multiplied by 9 gives you 45.

Divide: 45/9=5

Now you multiply the numerator by 5: 17x5=85.

So the value of y is 85

Hope this helps:)

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Simplify a trigonometric expression using basic identities.

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Answer:

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3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

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Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

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Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

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Answer:

Simplifying

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Solving

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Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Divide each side by '4'.

t = 0

Simplifying

t = 0

Step-by-step explanation:

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