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3 years ago

4x^4 - 6x^2 - 7 = 0 How can I factor it?

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

You cannot solve by factoring

Step-by-step explanation:

We want to solve $4x^4-6x^2-7=0$ by factoring.

We can rewrite as: $4(x^2)^2-6x^2-7=0$

So we have a quadratic equation in $x^2$ .

We split the middle term to get:

We look for factors -28 that sum up to -6

This is not possible hence the given equation is not factorable

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lng rordoin a party contextat the Vine House HotelYour House Hotelparty $20 $750 Chargesfor Sarah per 30 ow thperson pluspeoplet

S_A_V [24]

So in this problem we can see that there will be 60 people at the party. Following the conditions for this event that state the following: $750 for up to 30 people and every extra person pays $20. To show that the cost will be $1350 in total we simply do this:

For 30 people we have $750 dollars. Now every other person after pays only $20. That means that another the other 30 people will pay in total only $600.

If we add them we get: $750 + $600 = 1350. This shows that the cost will be $1350.

I hope it helps, Regards.

3 0

3 years ago

The weight of crackers in a box is stated to be 16 ounces. The amount that the packaging machine puts in the boxes is believed t

krek1111 [17]

Answer:

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 16.15, \sigma = 0.3, n = 50, s = \frac{0.3}{\sqrt{50}} = 0.0424$

What is the probability that the mean weight of a 50-box case of crackers is above 16 ounces?

This is 1 subtracted by the pvalue of Z when X = 16. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{16 - 16.15}{0.0424}$

$Z = -3.54$

$Z = -3.54$ has a pvalue of 0.0001

1 - 0.0001 = 0.9999

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

3 0

3 years ago

Consider this system of inequalities. x + y ≤ –3 y < StartFraction x Over 2 EndFraction Which graph shows the solution for th

miss Akunina [59]

Answer:

the answer is c

Step-by-step explanation:

i just did it

6 0

3 years ago

I can’t get this one right

svp [43]

Answer:

Step-by-step explanation:

6 0

3 years ago

Jocelyn solved the following division problem: Mr. Martin brings two gallons of

denis-greek [22]

Answer:

she would probably have have 101.4 oz which is about 6 bottles left over this is of course if those bottles can hold 16.9 oz which is the average water bottle intake(you forgot that info) maybe put more information for the next problem you decide to ask.

Step-by-step explanation:

your welcome

7 0

3 years ago