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3 years ago

Find the number of real number solutions for the equation x^2-3+8=0

1 answer:

5 0

Find value of determinant.
The determinant is a term that is inside a square root and part of the quadratic formula used for solving quadratic equations.
Let determinant be 'd'.
If d >0, Then there are 2 real solutions
If d = 0, Then there is only 1 real solutions
If d < 0, Then there are 0 real solutions but 2 imaginary solutions

d = b^2 - 4ac

For this problem, the coefficients are:
a = 1, b = -3, c = 8

d = (-3)^2 - 4(1)(8)

d = 9 -32 = -23

d is less than 0, therefore there are 0 real solutions and 2 imaginary solutions.

This is true because you cannot take square root of a negative number.

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There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o

Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205 ...(i)

0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637 ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

$108+x=205\Rightarrow\ x= 97$

Hence, there are 97 nickels and 108 quarters.

6 0

3 years ago

What is the degree of polynomial blow? x^6+3-2x^2+4x^7-4x

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

hello :

the degree of polynomial is : 7

7 0

3 years ago

Read 2 more answers

Which statement is true? the probability of randomly selecting a student who has a favorite genre of drama and is also female is

tankabanditka [31]

The correct statement is that the probability is B. Event F for female and event D for drama are independent events.

<h3>What are independent events?</h3>

It should be noted that two events are independent when the occurence of one doesn't affect the probability of another one occuring.

The probability of females will be:

= 3/5 = 0.6

The probability of drama will be:

= 40/240 = 0.167

In this case, they're both independent.

Learn more about probability on:

brainly.com/question/24756209

#SPJ4

7 0

2 years ago

HELP PLZZZZZ

Dmitry_Shevchenko [17]

Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Explanation:

Given expression:

$(2^3)(2^{-4})$

<em>Step-1: </em>Add the exponents and keep the same base by using $x^a*x^b = x^{a+b}$ property.

$(2^3)(2^{-4}) = 2^{(3+(-4))} = 2^{-1}$

Step-2: The reciprocal of $2^{-1}$ is $\frac{1}{2^{-1}}$ , which is $2^1$

Step-3: The exponent of $2^1$ is +1; therefore, change the sign of exponent. The end expression will now become:

$2^{-1}$

Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

3 0

3 years ago

Read 2 more answers

Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best desc

Lelechka [254]

Answer:

The correct option is c.

Step-by-step explanation:

The quotient of the polynomials is

$\frac{(x^3-7x-6)}{x-4}$

We need to find the remainder by using long division method.

The dividend of the given expression is

$Dividend=x^3-7x-6$

$Divisor=x-4$

The long division method is shown below.

$\frac{(x^3-7x-6)}{x-4}=(x^2+4x+9)+\frac{30}{x-4}$

From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.

Therefore the correct option is c.

4 0

3 years ago