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3 years ago

1. Consider the function f(x) = x² – 9. Algebraically determine the domain of y = Vf(x) . State using set notation.

Mathematics

1 answer:

AfilCa [17]3 years ago

8 0

Answer:

-3<x<3

Step-by-step explanation:

let y=0

0=x^2-9

0=(x+3)(x-3)

x=-3 and x=+3

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If the solutions to a polynomial equation are -5, 0, and 1, which of the following could be the expanded form of the polynomial

AVprozaik [17]

Answer:

The polynomial would be f(x) = x^3 + 4x^2 - 5x

Step-by-step explanation:

In order to find this, start with the equations that x is equal to each of the solutions. Then solve each of those expressions for 0.

-5 = x

0 = x + 5

1 = x

0 = x - 1

0 = x

Now put each of the terms that you have in parenthesis and multiply them all together.

f(x) = (x)(x + 5)(x - 1)

f(x) = (x)(x^2 + 4x - 5)

f(x) = x^3 + 4x^2 - 5x

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At how many points does the graph of the function below intersect the x-axis?

kotegsom [21]

A. 2 is the right answer

Step-by-step explanation:

Given function is:

$y=3x^2-5x+1$

The graph of any function is made by plugging in the inputs and finding the respective outputs hence creating points on graph.

The graph of function can be created using online graphing tools.

We have used the online graphing calculator "Desmos" to draw the graph of the given function (Picture Attached)

In the picture we can see that the line of graph intersects the x-axis on two points only.

Hence,

A. 2 is the right answer

Keywords: Graph, Functions

Learn more about function graphs at:

#LearnwithBrainly

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3 years ago

A jar contains five red marbles and three green marbles. A marble is drawn at random and not replaced. A second marble is then d

g100num [7]

Probablility that that first marble is red:
$P_{red} = \frac{red}{total}$
$P_{red} = \frac{5}{5+3}$

Probability that the second marble is green:
$P_{green} = \frac{green}{total(new)}$
$P_{green}= \frac{3}{4+3}$ (because 1 red is now gone)

$P_{total}=P_{red} \times P_{green}$
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4 years ago

If $3000 is deposited in an account that pays 5% interest, what is the difference in the amount after 4 years between the amount

monitta

If the interest is compounded annually, then
A = P*(1+r/n)^(n*t)
A = 3000*(1+0.05/1)^(1*4)
A = 3646.51875
which rounds to 3646.52
Call this value x, so x = 3646.52
-----------------------------------
If the interest is compounded using simple interest, then
A = P*(1+r*t)
A = 3000*(1+0.05*4)
A = 3600
Call this value y, so y = 3600
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x-y = 3646.52-3600 = 46.52
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