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GarryVolchara [31]
3 years ago
9

What is the root of the polynomial equation x(x-2)(x+3)=18

Mathematics
2 answers:
Stells [14]3 years ago
8 0

Answer:

The root of the polynomial is 3

Step-by-step explanation:

To find the root of the polynomial x(x-2)(x+3)=18

We can use a graphing utility and the system of equations.

We can have the equations;

y = x(x-2)(x+3) ......(i)

Therefore, from the initial equation;

y = 18 ..................... (ii)

We can then plot the graph using the equations, and the x-coordinate of the point of intersection will be the root of the equation.

From the graph, the x-coordinate is 3, since the intersection point is (3,18).

Therefore; <u>the root of the equation is 3.</u>

Marina86 [1]3 years ago
6 0

Answer: D the answer is 3

Step-by-step explanation: just took the test

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Pleaseeeeee do it, it’s urgent
eimsori [14]

Answer:

1. 1/3

2. 1/6

Step-by-step explanation:

1. 1/3 chance of getting a 3 or 4

2.

2 red

3 blue

4 green

The chance of Niki getting green on her first try is 4/9

The chance of Tom getting blue after Niki picks, is 3/8

4/9*3/8= 12/72

12/72=1/6

7 0
3 years ago
Read 2 more answers
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
sweet [91]
<h2>Correct option :</h2><h3>= \color{plum}\bold{(b) \: 2,700}</h3><h2>Steps to derive answer :</h2>

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

\color{plum}\tt{Cost \:  \:  price =  \frac{Selling \:  \:  price  \:   \times \:  100}{100  \: \:  +  \:  \: profit \: \%} }

Then, the cost price of this bicycle :

= \tt \frac{2850  \times 100}{100 + 14}

= \tt \frac{285000}{114}

=\color{plum} \tt2500

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

= \tt2500 =  \frac{\: x \:  \times 100}{100 + 8}

= \tt2500 =  \frac{100x}{108}

=\tt 100x = 2500 \times 108

= \tt100x = 270000

=\tt  x =  \frac{270000}{100}

=\color{plum}\tt x = 2700

Therefore, the selling price with a profit of 8% will be = 2700

6 0
3 years ago
Which shows where the function is decreasing?<br> O A only<br> O Conly<br> O C and D<br> O A and C
Tomtit [17]
Answer is C only. When you increase X, the f(x) is going downwards.
3 0
3 years ago
The measurement of an angle is 40, and the length of a line segment is 8 centimeters the number of unique. Rhombuses that can be
Rufina [12.5K]

Answer:

The number of unique rhombuses that can be constructed is one.

Step-by-step explanation:

A rhombus is a 2D shape with 4 straight sides that are all equal length. Also opposite sides are parallel and opposite angles are equal.

The addition of the 4 angles in a rhombus is equal to 360°. We know that one angle is 40°, its opposite angle is also 40°, then the addition of the other 2 angles (which are equal) is 360° - 2*40° = 280°. The other 2 congruent angles measure 140°.

If you have the length of one side (8 cm in this case), you have the length of all sides.

In conclusion, with one side and one angle a rhombus is completely defined and it's unique.

3 0
4 years ago
Read 2 more answers
Mrs. Brown gives two tests to her class. 30% of the class passed both tests and 45% of the class passed the first test. What
Ad libitum [116K]

Answer:

C) 67%

Step-by-step explanation:

Conditional probability:

P(A given B) = P(A and B) / P(B)

P(passed 2nd given passed 1st) = P(passed 2nd and 1st) / P(passed 1st)

P(passed 2nd given passed 1st) = 0.30 / 0.45

P(passed 2nd given passed 1st) = 0.67

7 0
3 years ago
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