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3 years ago

Multiply & simplify: (3x - 2)^2

Mathematics

2 answers:

kogti [31]3 years ago

4 0

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)²

= (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

LekaFEV [45]3 years ago

3 0

Mungkin Gini Kali Ya Kak

(3) × 2(2)

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Gianna has 2 pairs of shoes, 3 pairs of pants, and 4 shirts. How many outfits can he make

alekssr [168]

Answer:

Step-by-step explanation:

2 x 3 = 6

6 x 4 = 24

1 pair of shoes would pair with the 3 pants,

multiply that by 2 for the other pair and you get 6 different possibilties.

you multiply the 6 possibilities by 4 shirts to get 24 different combinations.

7 0

3 years ago

Greg has 245 cows on his farm. In the mornings, he gives them a total of 5,752 pounds of hay. If each cow eats the same amount,

Mashutka [201]

Answer:

I would say A because the real answer is 23.477

Step-by-step explanation:

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3 years ago

When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for p will be narrower than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - α) % confidence interval for a population proportion is:

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

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

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

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of z for 90% confidence level is:

$z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645$

And the critical value of z for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for p will be narrower than the 99% confidence interval.

6 0

3 years ago

Simplify the expression. Use standard polynomial format. x(2x + 3) + (x - 3)(x - 4)

timofeeve [1]

Answer:

x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12

Step-by-step explanation:

Expand:

x(2x + 3): 2x² + 3x

2x² + 3x + (x - 3) (x - 4)

Expand:

(x - 3) (x - 4): x²- 7x + 12

2x² + 3x + x²- 7x + 12

Simplify:

2x² + 3x + x² - 7x + 12: 3x² - 4x + 12

= 3x² - 4x +12

5 0

4 years ago

A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the cof

Triss [41]

Answer:

The final price for the coffee table is $98.9.

Step-by-step explanation:

1. First, is to convert the percentage to decimal form

We can do this by changing 7.5% to decimal number by dividing 7.5 by 100, we get:

\frac{7.5}{100}

100

7.5

= 0.0750.075

2. Then multiply 0.075 to the original price of $115

0.075(115) = 8.625

Then, add 8.625 to the original price of $115, we get:

115 + 8.625 = $123.625

3. After this, we subtract the 20% discount to $123.625

We can do this by converting 20% to decimal form, we get:

\frac{20}{100}

100

= 0.20.2

Then, multiply $123.625 by 0.2, we get:

123.625(0.2) = $24.725

4. Then subtract 24.725 from $123.625, we get:

123.625 -123.625−24.725 = $98.9

Final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9.

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3 years ago