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2 years ago

Find the solution set of the inequality 4x-1<11

Mathematics

1 answer:

algol132 years ago

4 0

Answer:

4x-1<11

add 1 on both sides

4x<12

divide by 4 on both sides

x=3

Step-by-step explanation:

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What are factors of 112? Explain your reasoning.

blondinia [14]

Answer:

1,2,4,7,8,14,16,28,56,112

Step-by-step explanation:

12 is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14

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3 years ago

The mean of a data set is 16. What is the absolute deviation of a data point at 19?

S_A_V [24]

Answer:

i need a set of numbers to do this

Step-by-step explanation:

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3 years ago

Read 2 more answers

Subtract.<br> (9x2+3x+6)–(8x2+3)

max2010maxim [7]

Answer:

x^2 +3x +3

Step-by-step explanation:

(9x^2+3x+6)–(8x^2+3)

Distribute the negative sign

(9x^2+3x+6)–8x^2-3

Combine like terms

9x^2–8x^2+3x+6–8x^2-3

x^2 +3x +3

3 0

3 years ago

Evaluate the following integral in cylindrical coordinates triple integral 1/(1+x^2+y^2) dzdxdy z=0..2 y=0..square root(1-x^2) x

sertanlavr [38]

In cylindrical coordinates, we take

$x=r\cos\theta$

$y=r\sin\theta$

$z=z$

so that $\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$ .

We have

$1+x^2+y^2=1+r^2$

and the integral is

$\displaystyle\int_0^2\int_0^\pi\int_0^1\frac r{1+r^2}\,\mathrm dr\,\mathrm d\theta\,\mathrm dz=\frac{\ln2}2\int_0^2\int_0^\pi\mathrm d\theta\,\mathrm dz=\boxed{\pi\ln2}$

8 0

3 years ago

(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))

pentagon [3]

The results of the composite functions are:

$(f \times g)(x) = 6x^2-9x$

$f(g(x)) = 6x - 3$

$g(f(x)) = 6x - 9$

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

$f(x) = 2x - 3$

$g(x) = 3x$

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

$(f \times g)(x) = f(x) \times g(x)$

$(f \times g)(x) = (2x-3) \times (3x)$

$(f \times g)(x) = 6x^2-9x$

<h3>Function f(g(x))</h3>

We have: $f(x) = 2x - 3$

This gives

$f(g(x)) = 2g(x) - 3$

So, we have:

$f(g(x)) = 2(3x) - 3$

$f(g(x)) = 6x - 3$

<h3>Function g(f(x))</h3>

We have: $g(x) = 3x$

This gives

$g(f(x)) = 3f(x)$

So, we have:

$g(f(x)) = 3(2x - 3)$

$g(f(x)) = 6x - 9$

Read more about composite functions at:

brainly.com/question/10687170

4 0

2 years ago