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attashe74 [19]
3 years ago
11

Find all complex solutions of 2x^2+3x+5=0 using the quadratic equation.

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0
<span>2x^2 + 3x + 5 = 0
a = 2 b = 3 and c = 5
x = [-b +-sq root(b^2 -4ac)] / 2a
</span><span>x = [-3 +-sq root(9 -4*2*5)] / 4
x = [-3 +-sq root(9 - 40)] / 4
</span><span>x = -(3 / 4) + sq root (-36) / 4
</span><span>x = -(3 / 4) - sq root (-36) / 4

</span>
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A student has 10 coins in her pocket that have a value of $0.85. The coins are either
il63 [147K]

Answer:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of nickels in the student's pocket

y = number of dimes in the student's pocket

Each nickel has a value of $0.05, so x nickels have a value of 0.05x

Each dime has a value of $0.10, so y dimes have a value of 0.10y

The student has a total of 10 coins, thus:

x+y=10

The total value of the coins is $0.85, thus

0.05x+0.10y=0.85

The system of linear equations that represents this scenario is:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

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Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl
kari74 [83]

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

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H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

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2 years ago
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Zina [86]

Answer:

substitute 8 into x =(8-2)2

(6)2=12

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3 years ago
A 14 14​-foot board is cut into two pieces. If one piece is x feet​ long, express the other length in terms of x.
xxTIMURxx [149]

Answer:

x = first piece

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Step-by-step explanation:

Since we know that the board is 14 feet then to find the size of the second piece, we just take the full length of the board and then subtract it to the first piece's length.

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