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3 years ago

Select the correct answer.

Mathematics

1 answer:

Airida [17]3 years ago

7 0

Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

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Answer:

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<u><em>NOTE</em></u>: To conert a fraction into decimal, it is required that the denominator be changed into 10, 100, 1000 and so on..... By changing the denominator, we have to first select the appropriate number by which you will be able to convert it into 10, 100 or 1000, and you are also required to multiply that number with the denominator as well as numerator. In the first question, 1/5 we can convert the denoinator into 10, 100 or 1000 as the denominator is 5, whatever you choose, the answer will be correct, so, 1*2/5*2 gives 2/10. Since 10 has one zero, the decimal point moves one time towards the left, which gives 0.2. And you can do the rest according to this way, considering the number of zeroes.

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3 years ago

When rotated about its center, a regular octagon has In addition to rotational symmetry, a regular octagon has symmetry rotation

Misha Larkins [42]

Answer:

The answer is D: 6 and 6

Step-by-step explanation:

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3 years ago

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

aliya0001 [1]

The coordinates of the vertex of the graph are (-2, -9).

<h3>Further explanation</h3>

The quadratic function is described by the standard equation $\boxed{ \ f(x) = ax^2 + bx + c \ }.$ The graph of a quadratic function is called a parabola.

We have the quadratic function $\boxed{ \ f(x) = x^2 + 4x - 5 \ }.$

We identify the coefficients a, b, and c. For this equation, $\boxed{ \ a = 1, b = 4, and \ c = -5 \ }$
The axis of symmetry is $\boxed{ \ x = h = -\frac{b}{2a} \ }$ , i.e., $\boxed{ \ x = h = -\frac{4}{2(1)} \rightarrow h = -2 \ }.$ Thus, the statement in the question for the symmetry axis x = -2 is correct.
The vertex (or turning point) is $\boxed{ \ (h, k) \ },$ where $\boxed{ \ k = f(h) \ }$ or $\boxed{ \ k = \frac{b^2 - 4ac}{-4a} \ }$
The parabola opens upward because a > 0, resulting in a vertex that is a minimum.

Finding the minimum value is as follows:

$\boxed{ \ k = f (-2) = (-2)^2 + 4(-2) - 5 \rightarrow k = -9 \ }, or$
$\boxed{ \ k = \frac{4^2 - 4(1)(-5)}{-4(1)} = -\frac{36}{4} \rightarrow k = -9 \ }$

Therefore, the coordinates of the vertex of the graph are (h, k), i.e., $\boxed{\boxed{ \ (-2, -9) \ }}$

Other components:

The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point $\boxed{ \ (0, -5) \ }.$
The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at $\boxed{ \ (-5, 0) \ and \ (1, 0) \ }$

<h3>Learn more</h3>

Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270
Finding the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) brainly.com/question/1332667
The midpoint brainly.com/question/3269852

Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value

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3 years ago

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Nimfa-mama [501]

The least would be 87.
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4 years ago

Find the slope of the line that passes through each pair of points.

myrzilka [38]

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The slope of the line that passes through points (0,1) and (2,7) is 3

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The slope of the line that passes through points (2,5) and (3,1) is -4

3)
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The slope of the line that passes through points (1,2) and (4,7) is 5/3 or 1 2/3

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3 years ago