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3 years ago

Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0?

Mathematics

1 answer:

Bad White [126]3 years ago

8 0

Answer:

C) Three real roots, two of which are equal in value is the right answer I believe.

Step-by-step explanation:

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In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)

mamaluj [8]

Answer:

First option: $\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.$

Step-by-step explanation:

The missing graph is attached.

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

We can observe that:

1. Both lines have the same y-intercept:

$b=3$

2. The lines are solid, then the symbol of the inequality must be $\leq$ or $\geq$ .

3. Since both shaded regions are below the solid lines, the symbol is:

$\leq$

Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:

$\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.$

6 0

2 years ago

Read 2 more answers

Raoul says that Function B has a greater initial value. Is Raoul correct?

Sergio039 [100]

Answer:

yes he is correct because if you where to graph B it would have a greater slope

Step-by-step explanation:

6 0

2 years ago

The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room

tangare [24]

I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
$A = lw\\
600 = (x+5)(x+4)\\
600 = x^{2} + 9x + 20
$

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
$600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20$

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).

8 0

3 years ago

Read 2 more answers

Determine the number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers

Thepotemich [5.8K]

Answer:

There are 26 possible way to determine two distinct integers whose sum is 27.

Step-by-step explanation:

To find : The number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers whose sum is 27.

Solution :

We have given the numbers from 1,2,3,4......,29,30.

In order to get two distinct numbers having the sum 27,

There are the possibilities :

1+26=27

2+25=27

3+24=27

......

24+3=27

25+2=27

26+1=27

The maximum number taken is 26.

So, There are 26 possible way to determine two distinct integers whose sum is 27.

5 0

2 years ago

What is the unit price of $4.00 for 26 ounces

MrRissso [65]

Answer:

$.15

Step-by-step explanation:

you take $4.00

divide by the items weight

to get $.1538

round to the nearest full cent

4 0

3 years ago