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3 years ago

What is the inverse of the function?

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Step-by-step explanation:

h(x)=¾x +12

let h(x)=y

y=¾x +12

y=3x/4 +12

4y=3x+48

3x=48-4y

x=(48-4y)/3

replace x with h-¹

h-¹(x)=(48-4x)/3

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3 years ago

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3 years ago

Suppose that we try to solve the matrix equation AX = B by using an inverse matrix, but find that even though the matrix A is a

Tanzania [10]

Answer:

The system will be found to be inconsistent or dependent.

Step-by-step explanation:

The matrix A will have no inverse for two different reasons:

The system is inconsistent
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In the latter case, the Gauss-Jordan method will find a set of parametric equations for a solution. In the former case, there is no solution.

The outcome will depend on the reason why there is no inverse.

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3 years ago

In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected

nikitadnepr [17]

If the sample size of population is 24 then the number of degrees of freedom for reading the t value is 23 which is option c.

Given sample size of 24,mean 23.

We have to determine the number of degrees of freedom which will be used to find the critical values of t.

Degree of freedom is the number of values in the final calculation of a statistic that are free to vary means that can change their values in the formula of calculating t.

t=(X-μ)/s/ $\sqrt{n}$

where X is sample mean ,

μ is hypothsised population mean

s is sample standard deviation

n is sample size.

Degree of freedom=n-1

In this question n is 24 so the degree of freedom =24-1=23.

Hence the number of degrees of freedom for reading the t value is 23.

Learn more about degree of freedom at brainly.com/question/17305237

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2 years ago

Find the length of the third side. If necessary, write in simplest radical form. 3 2

faltersainse [42]

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

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3 years ago