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lidiya [134]
3 years ago
13

Use the discriminant to determine the number and type of solutions for the following equation. 12x2 + 10x + 5 = 0

Mathematics
2 answers:
alex41 [277]3 years ago
5 0
Zero real solutions I just did the test
Paul [167]3 years ago
4 0
Discriminant D is given by:
D=b²-4ac
Implication of discriminant is as follows:

D<0 two zeros that are complex conjugate
D=0 one real zero of multiplicity 2
D>0 two distinct real zers
D= (+ve perfet square)  two distinct rational zeros
From:
12x^2+10x+5=0
plugging in the equation we get:
10²-4×12×5
=100-240
=-140
thus
D<0

Answer is: 
<span>A two irrational solutions </span>
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A bank loaned out $37,500, part of it at the rate of 11% annual interest, and the rest at 9% annual interest. The total interest
kondaur [170]

Answer:

The Loan amount at 11 % interest rate is $ 18,500   And

The Loan amount at 9 % interest rate is $ 19,000

Step-by-step explanation:

Given as :

Let The loan given at interest rate of 11 % annual  = $ x

And The loan given at interest rate of 9 % annual = ($37,500 - $ x)

Total interest fro both loan = $3745

I.e  CI 1 + CI 2 = $3745

Now, From compound interest method :

Amount= Principal\times (1 + \frac{Rate}{100})^{Time}

A 1 = $ 1\times (1 + \frac{11}{100})^{1}

Or,  A 1 = $ 1.11 x

<u>Similarly</u>

A 2 = ($37,500 -x ) \times (1 + \frac{9}{100})^{1}

Or, A 2 = 1.09 × ($37,500 - $ x)

∵  Compound Interest = Amount - principal

Or, $ 3745 = CI 1 + CI 2

Or,  $ 3745 = ($ 1.11 x - $ x) + ( 1.09 × ($37,500 - $ x) -  ($37,500 - $ x) )

Or,  $ 3745 = $ .11 x+  ($37,500 - $ x) ( .09 )

Or,  $ 3745 = $ .02 x + $ 3375

or,  0.02 x =  $ 3745 - $ 3375

∴   x = $ \frac{370}{.02}

SO,  x = $ 18,500

And $ 37500 - x = $ 19,000

Hence The Loan amount at 11 % interest rate is $ 18,500   And

           The Loan amount at 9 % interest rate is $ 19,000   Answer

4 0
3 years ago
Can Someone help me with this Question?
LuckyWell [14K]

Answer:

y=C-Ax÷B

Step-by-step explanation:

Ax+By=C

-Ax -Ax

By= C-Ax

—————

B

y=C-Ax

——–

B

5 0
3 years ago
How do you divide 5x by 10
olasank [31]

How to divide 5x by 10

Let's write this out as a fraction with 5x as the numerator and 10 as the denominator

\dfrac{5x}{10}

10 is the same as 5*2

\dfrac{5x}{5*2}

Both the numerator have a multiply of 5, you can remove the 5 from the fraction

\dfrac{x}{2}

Let me know if you need any clarifications or if this wasn't what you needed, thanks!

4 0
3 years ago
Does someone mind helping me with this question? Thank you!
anzhelika [568]
Answer:
100
Explanation:
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The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the face value of
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B I don’t know if I’m right or wrong
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