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Sedbober [7]
3 years ago
7

Find the number of real number solutions for the equation. x2 – 18 = 0

Mathematics
2 answers:
madam [21]3 years ago
6 0
x ^ 2 - 18 = 0
 For this case, the first thing you should do is rewrite the expression:
 x ^ 2 - 18 = 0
 x ^ 2 = 18
 The solutions for this case are:
 x1 = root (18)
 x2 = -raiz (18)
 Therefore the answer is:
 2 solutions of real numbers.
 Answer:
 2
Alisiya [41]3 years ago
4 0

Answer:

The number of real roots is 2.

Step-by-step explanation:

Given,

x^2 -18 = 0

We will find the number of roots by Descartes' rule of signs.

Let,

f(x)=x^2-18

Since,

f(x) = + x^2 - 18

That is, the change in the sign shows, the given polynomial has one positive real root.

Now, by putting x = - x,

f(-x)=(-x)^2- 18 = x^2 - 18

\implies f(-x) = + x^2 - 18

That is, the change in the sign shows, the given polynomial has one negative real root.

We know that, given polynomial has degree 2,

⇒ It only has 2 roots one is positive real and another is negative real,

⇒ f(x) having 2 real roots.

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What is 9/12 in simplest form
olga nikolaevna [1]
Solutions 

⇒9/12 

1) To see if 9/12 is in simplest form you have to find 9 and 12's GCF. 
The GCF of 9 and 12 is 3 

2) Divide by the GCF
9 ÷ 3 = 3
12 ÷ 3=  4 

3/4 is answer 
6 0
3 years ago
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1. A radio cost $20, Harold buys it for $12, what percent off the original price did he receive?
Dima020 [189]
1. 20•.4=8 so 40%
2. 20%
7 0
3 years ago
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CON PROCESOS POR FAVOR
labwork [276]

Answer:

\dfrac{149}{40}

\dfrac{38}{15}

Step-by-step explanation:

(\dfrac{7}{8} + \dfrac{4}{5}) - (\dfrac{9}{20} + \dfrac{-5}{2}) =

= (\dfrac{7}{8} \times \dfrac{5}{5} + \dfrac{4}{5} \times \dfrac{8}{8}) - (\dfrac{9}{20} + \dfrac{-5}{2} \times \dfrac{10}{10})

= (\dfrac{35}{40} + \dfrac{32}{40}) - (\dfrac{9}{20} + \dfrac{-50}{20})

= \dfrac{67}{40} - (-\dfrac{41}{20})

= \dfrac{67}{40} + \dfrac{41}{20} \times \dfrac{2}{2}

= \dfrac{67}{40} + \dfrac{82}{40}

= \dfrac{149}{40}

(-\dfrac{6}{4} + \dfrac{3}{2}) + (\dfrac{6}{5} + \dfrac{4}{3}) =

= (-\dfrac{3}{2} + \dfrac{3}{2})+ (\dfrac{6}{5} \times \dfrac{3}{3} + \dfrac{4}{3} \times \dfrac{5}{5})

= 0 + \dfrac{18}{15} + \dfrac{20}{15}

= \dfrac{38}{15}

4 0
2 years ago
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of sho
Vilka [71]

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Download xlsx
4 0
3 years ago
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Vladimir [108]

Answer:

made 25%

Step-by-step explanation:

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