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2 years ago

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Which of the following characteristics best describes the given function of ƒ(x) = 3x2 ?

1 answer:

lawyer [7]2 years ago

5 0

The characteristics best describes the given function of ƒ(x) = 3x2 is quadratic function, U-shape, and minimum. Option C. This is further explained below.

<h3>What is a function?</h3>

Generally, the function is simply defined as one that uses one or more variables in an expression or connection.

In conclusion, The characteristics that best describe the given function of ƒ(x) = 3x2 are: it illustrates on a graph an upside parabola, it has a root x=0 and finally its a Qufdradic function

Complete Question

Which of the following characteristics best describes the given function of ƒ(x) = 3x2?

quadratic function, U-shape, maximum

quadratic function, U-shape, minimum

quadratic function, V-shape, minimum

quadratic function, V-shape, maximum

Read more about the function

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3 years ago

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Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0

fomenos

• The value of the discriminant ,D= -16

,

• The solution to the quadratic equation is

$x=\frac{1+2i}{5}\text{ or }\frac{1-2i}{5}$

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

,

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

$x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}$

Note that:

√-1 = i

$x=\frac{2\pm\sqrt[]{16\times-1}}{10}$

$x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}$ $x=\frac{2\pm4i}{10}$ $x=\frac{2}{10}\pm\frac{4i}{10}$ $x=\frac{1}{5}\pm\frac{2}{5}i$ $x=\frac{1\pm2i}{5}$

That is;

$\text{Either x=}\frac{1+2i}{5}\text{ or x=}\frac{1-2i}{5}$

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1 year ago

Graph the linear equation x-3y=-6

TEA [102]

Answer:

Step-by-step explanation:

One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.

x-3y=-6 → -3y = -x - 6, or 3y = x + 6.

Dividing both sides by 3, we get y = (1/3)x + 2.

So the slope of this line is 1/3 and the y-intercept is 2.

Plot a dot at (0, 2). This is the y-intercept. Now move your pencil point from that dot 3 spaces to the right and then 1 space up. Draw a line thru these two dots. End.

Alternatively, you could use the intercept method. We have already found that the y-intercept is (0, 2). To find the x-intercept, let y = 0. Then x = -6, and the x-intercept is (-6, 0).

Plot both (0, 2) and (-6, 0) and draw a line thru these points. Same graph.

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3 years ago

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Evaluate:<br> 10 x [(6 + 4) = 2]

svetlana [45]

Answer:

You have to pay close attention to the Order of Operations.

10(6+4)/2. Grouping symbols first.

6+4=10.

10(10)/2

10*10=100.

100/2.

50 is your answer

Step-by-step explanation:

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3 years ago

Please solve the underlined question thank you!

notsponge [240]

Answer:

Step-by-step explanation:

4

Take out a 2 to begin with.

2(25x^2 - 36) This is the difference of squares (inside the brackets). Factor.

2*(5x - 6)(5x + 6)

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3 years ago

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