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3 years ago

The graph of F(x) shown below resembles the graph of G(x)= x4, but it has

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

x = 0.

Equation:

$g*(x)-(x^4)=0$

Step-by-step explanation:

Step 1:

Pull out like factors:
$gx - x^4 = x * (g - x^3)$

Trying to factor as a Difference of Cubes:

Factoring: $g - x^3$
Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
(a-b) • (a^2 +ab +b^2)
Proof : (a-b)•(a^2+ab+b^2) =
a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
a^3+0+0-b^3 =
a^3-b^3
Check : g^1 is not a cube !!
Ruling : Binomial cannot be factored as the difference of two perfect cubes

Equation at end of step 1:

$x * (g - x^3) = 0$

Step 2:

A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

Solve $g - x^3 = 0$
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.

Solution:

x=0.

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The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit

Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b) We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b. If the length of pregnancy is in the lowest a%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

8 0

3 years ago

Joey is creating a rectangular garden. The garden is 9 feet long and 7 feet wide. Joey calculated he needs feet of fencing to cl

Crazy boy [7]

Answer:

Amount of fencing: 32 feet

Amount of soil: 63 square feet

Step-by-step explanation:

Fencing: In a rectangle, the opposite side is the same length. So we do:

9+7+9+7 = 32 feet

Soil: The soil is the area. Area is equal to length times width. Length is 9 and width is 7, so we do:

9 x 7 = 63 feet squared

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4 years ago

How to know if an equation is false, true, or an open scentence

beks73 [17]

Well it is true if the problem is the right with the right answer. If not you have a false eqaution.

4 0

4 years ago

Read 2 more answers

Tim has some video games. Mark has twice as

BabaBlast [244]

7 or more games

2x = 20+

so if he had 7 games, mark would have double (14 games)z 14+7=21. that's more that 20 games.

*Aggressively drops microphone*

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3 years ago

Select all that are true for g(x) = 10/x (PLEASE ANSWER FAST ILL LOVE YOU FOREVER)

Ksivusya [100]

The given function is:

$g(x)= \frac{10}{x}$

The parents functions of g(x) will be:

$f(x)= \frac{1}{x}$

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
The range is the same as the range of the parent function.
The function g(x) decreases over the same x-values as the parent function.

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3 years ago

Read 2 more answers