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2 years ago

Given f(x) = x cubed - 3, find f(-2)

Mathematics

1 answer:

Greeley [361]2 years ago

6 0

Answer:

f(-2) = -11

Step-by-step explanation:

f(x) =x^(3)-3

We want to find f(-2) , which means x=-2

f(-2) = (-2) ^3-3

(-2)^3 = -8

f(-2) = (-8)-3

f(-2) = -11

You might be interested in

What two rational expressions sum to 3x+4/x^2-6x+5?

Lubov Fominskaja [6]

Answer:

$\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}$

Step-by-step explanation:

The given rational expression is:

$\frac{3x+4}{x^{2}-6x+5} = \frac{3x+4}{(x-1)(x-5)}$

We can use concept of Partial Fractions to solve this problem. Let,

$\frac{3x+4}{(x-1)(x-5)}=\frac{A}{x-1} +\frac{B}{x-5}$

Multiplying both sides by (x - 1)(x - 5), we get:

$3x+4=A(x-5)+B(x-1)$

Substituting x = 5, we get:

$3(5)+4=A(5-5)+B(5-1)\\\\ 15+4=0+4B\\\\ 19=4B\\\\ B=\frac{19}{4}$

Substituting x = 1, we get:

$3(1)+4=A(1-5)+B(1-1)\\\\ 7=-4A\\\\ A=-\frac{7}{4}$

Substituting the value of A and B, back in the original equation, we get:

$\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}$

4 0

2 years ago

Which represents the volume of the cylinder, in cubic units? 120π 130π 300π 325π

IrinaVladis [17]

Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)

5 0

3 years ago

Read 2 more answers

Oregon State University is interested in determining the average amount of paper, in sheets, that is recycled each month. In pre

Juliette [100K]

Answer:

The test statistic is $t = 2.79$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 59.3$

The sample size is $n = 79$

The sample mean is $\= x = 62.4$

The standard deviation is $\sigma = 9.86$

Generally the test statistics is mathematically represented as

$t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }$

substituting values

$t = \frac{ 62.2 - 59.3 }{ \frac{ 9.86}{ \sqrt{ 79} } }$

$t = 2.79$

4 0

3 years ago

8624 to the nearest thousand

Alika [10]

✡ Answer: 9000 ✡

- - Solve:

If your 3 numbers to the right (in this problem its 3) are 499 or less, you round down, if its 500 or up, you round up.

In this case, round up.

- - Solve furthermore:
9000


✡Hope this helps✡

4 0

3 years ago

Read 2 more answers

A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]

zepelin [54]

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Reasons:

The matrix A is presented as follows;

$A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}$

Using the multiplication of a matrix and a scalar, we have;

$60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]$

Therefore;

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Learn more about matrices here:

brainly.com/question/14296012

6 0

2 years ago