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marshall27 [118]
3 years ago
12

Graph x^3 - 3x^2 + 2 = 0.1 - x What are the solutions of the equation?

Mathematics
1 answer:
liq [111]3 years ago
6 0

Answer:

x=-0.6,x=1.52,x=2.08

Step-by-step explanation:

Let f(x)=x^3-3x^2+2.

and

g(x)=0.1-x

The graph of the two equations are shown in the attachment.

The points where the two graphs intersected are: (-0.6,0.7),(1.52,-1.42),(2.08,-1.98)

The x-coordinates of the intersection points are the solutions to x^3-3x^2+2=0.1-x.

Therefore the solutions are: x=-0.6,x=1.52,x=2.08

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What is the length of AB?
makkiz [27]
The radius of the circle is given to be r = 14.5

Let the center be O. So OB is the radius = 14.5

We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.

So, we can write:

(14.5)^{2}=10^{2}+OA^{2} \\  \\ 
OA^{2}=110.25 \\  \\ 
OA=10.5

Thus, the measure of OA = 10.5

OB = OA + AB

14.5 = 10.5 + AB
⇒
AB = 4
3 0
3 years ago
Read 2 more answers
Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95
In-s [12.5K]

Answer:

4 months

Step-by-step explanation:

Franco's provider = 60 + 42.95x

Marshal's provider = 57.95x

Where,

x = number of months

Equate both charges

Franco's provider = Marshal's provider

60 + 42.95x = 57.95x

Subtract 42.95x From both sides

60 + 42.95x - 42.95x = 57.95x - 42.95x

60 = 15x

Divide both sides by 15

60 / 15 = 15x / 15

4 = x

x = 4 Months

Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months

7 0
3 years ago
Which of the following is not approximately equivalent to one of the metric units: 1 kilometer, 1 meter, 1 kilogram, or 1 liter?
crimeas [40]
1 liter yup 1 litler

5 0
3 years ago
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Draw an area model. then solve using the standard algorithm. use arrows to match the partial products from your area model to th
11111nata11111 [884]
The answer to your question of what is 273 times 346 is 94,458
4 0
4 years ago
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A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 60% chance that the team will be
Mashcka [7]

Answer:

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

Step-by-step explanation:

We have these following probabilities:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning.

A 30% probability of making the 3 point shot and winning.

What should the coach do, go for the 2 point shot or the 3 point shot?

In which case the team has a higher probability of winning?

The team has:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning. So, going for the 2 point shot, the team has a 0.6*0.6 = 0.36 = 36% probability of winning.

Going for the 3 point shot, the team has a 30% probability of winning.

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

7 0
3 years ago
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