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3 years ago

What is the value of the expression 9x^2-12x+4 when x=3

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Answer:

Step-by-step explanation:

When x=3,

= 9x^2-12x+4

= 9(3)^2-12(3)+4

=81-36+4

=49

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A Bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.

Alex17521 [72]

We first find out the amount in dollars of interest accrued after 2 years time.

Interest = Prt

where P is the principal, r is the rate and t is time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest = 2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

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3 years ago

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djyliett [7]

Answer:

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Step-by-step explanation:

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2 years ago

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Which of the following has the greatest value <br>A)3³<br>B)5²<br>C)1¹⁰<br>D)2⁵

Alecsey [184]

Answer:

A - Highest is 27

Step-by-step explanation:

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7 0

3 years ago

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Solve using any method. All work must be shown and handwritten.

Rashid [163]

Answer:

$x = - 3$

$y = 1$

Step-by-step explanation:

Write the system

$3x - y = - 10$

$x + y = - 2$

Solve by Elimination.

multiply the second equation by -3.

$3x - y = - 10$

$-3x - 3y = 6$

Add the Equations.

$- 4y = - 4$

$y = 1$

Plug this back in one of the equations.

$x + 1 = - 2$

$x = - 3$

8 0

2 years ago

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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

2 years ago