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Pachacha [2.7K]
3 years ago
11

What are the solutions of 4x^2-4x^2=8

Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0

Answer:

0

Step-by-step explanation:

4x^2 = 8x

1.8x-8x=8

2.0x=8

3.x=8÷0

4.x=0

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Simplify 2x - 3(-4x + 2 )
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<span>2x - 3(-4x + 2 )
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David, a platform diver, dives into the pool during practice. The height of David above the water at any given time, s, can be m
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Check the pictures below.

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h(s) = -4.9(s - 2)(s + 1).

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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:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

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

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

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)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

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

<u>Then the vertice is:</u>

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.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
Suppose an investment of $2,300 doubles in value every decade. The function F(X)= 2300 * 2^X gives the value of the investment a
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You hit the right target!

\[\Huge\color{}\checkmark\]

It is 9200

Just to be sure, substitute with x = 2 in the equation.

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