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2 years ago

Use the X method to find the solutions of 6x2 + 2x – 20 = 0

Mathematics

2 answers:

SVEN [57.7K]2 years ago

5 0

The X method?
2x=8
X=4

Hunter-Best [27]2 years ago

3 0

Answer:

x= 4

Step-by-step explanation:

first move 20 so you add it

6 x 2 + 2x -20 =0

+20 +20

6 x 2 + 2x =20

12 + 2x =20

-12 -12

2x = 8

div

x=4

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Match the expression with its name. 10x2 – 5x + 10

puteri [66]

Answer:

Step-by-step explanation:

quadratic trinomial : YES. Three terms, 2nd order polynomial.

cubic monomial: NO; this is neither a cubic nor a monomial (1 term).

not a polynomial : NOT true; this is definitely a polynomial.

fourth-degree binomial: NO; it's a second-degree trinomial.

5 0

2 years ago

If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment

Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = $\frac{0.054}{12}= 0.0045$

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest

First compute the Equated monthly installments (EMI) as follows:

$EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21$

Now compute the interest as follows:

$Interest=P\times r\\=15000\times0.0045\\=67.5$

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest

= 453.21 - 67.5

= 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0

2 years ago

Read 2 more answers

If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to

scZoUnD [109]

Step-by-step explanation:

Maths

Bookmark

if 2

2008

−2

2007

−2

2006

2005

=k ⋅2

2005

then the value of k is equal to

Answer

Correct option is

2008

−2

2007

−2

2006

2005

=k⋅2

2005

⇒[2

2008

−2

2006

]−[2

2007

−2

2005

]=k⋅2

2005

⇒2

2006

−1)−2

2005

−1)=k⋅2

2005

⇒3(2

2006

−2

2005

)=k⋅2

2005

⇒3[2

2005

(2−1)]=k⋅2

2005

⇒3(2

2005

)=k⋅2

2005

On comparing, we get

k=3

Hence, Option B is correct.

5 0

1 year ago

Read 2 more answers

Complete the sentence below using one of the words. 'Power, Base, Exponent'

uysha [10]

The number is 10 to the -6 power

6 0

2 years ago

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X$ represent the sample mean