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3 years ago

Find each product with work (3g + 2)(3g–2)

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

7 0

Answer:

See explanation!

Step-by-step explanation:

Due to the way the question is expressed we will assume that it means to find the product of this expression (thus simplify or factor our the equation).

So let us solve as following:

$(3g+2)(3g-2)=0\\\\(3g)(3g)+(3g)(-2)+(2)(3g)+(2)(-2)=0\\\\9g^2-6g+6g-4=0\\\\9g^2-4=0\\9g^2=4\\\\g^2=\frac{4}{9}\\ \\g=(+/-)\sqrt{\frac{4}{9} } \\\\g=(+/-)\frac{2}{3}$

So we have factored our the expression and solve for the values of $g$ which since its squared, the solution can be either positive or negative. Thus

$g=\frac{2}{3}\\$ and $g=-\frac{2}{3}$

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= - 8 (2i^2 - 5i + 1)

9)

= p^2 - 4p - 4p + 16
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3 years ago

Frankie dad made scrambled egg for the family breakfast he started with full carton of 12 egg he used 8of the Egg what the fract

Andre45 [30]

12 because it is also the egg

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2 years ago

25 points! Please help!

Annette [7]

Answer: 15 minutes

Explanation:

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3 years ago

Read 2 more answers

What is the equation of the line that is perpendicular to the

kotegsom [21]

Answer:

y=x-6

Step-by-step explanation:

The x-intercept is found replacing y = 0, as follows:

Function: y = -3x + 8

x-intercept:

0 = -3x + 8

3x = 8

x = 8/3

Function: y = -3x + 6

x-intercept:

0 = -3x + 6

3x = 6

x = 6/3 = 2

Function: y = -x - 8

x-intercept:

0 = -x - 8

x = -8

Function: y = x - 6

x-intercept:

0 = x - 6

x = 6

The last option is the only one in which x-intercept is x = 6.

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3 years ago

Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random

Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

Let $\bar X$ = sample mean

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = $50,000

$\sigma$ = population standard deviation = $25,000

n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P( $\bar X$ > $52,000)

P( $\bar X$ > $52,000) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } }$ ) = P(Z > 2.53) = 1 - P(Z $\leq$ 2.53)

= 1 - 0.9943 = 0.0057

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

5 0

3 years ago

Find each product with work (3g + 2)(3g–2)​

Find each product with work (3g + 2)(3g–2)