suppose that the functions s and t are defined for all real numbers x as follows.
s(x)= x+6
t(x)= 4x2
write the expressions for (s.t)(x) and (s-t)(x) and evaluate (s+t)(-3).

Answers

Answer 1

Answer:

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Step-by-step explanation:

Given functions are:

[tex]s(x)= x+6\\t(x)= 4x^2[/tex]

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

[tex](s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2[/tex]

Also we have to find

(s-t)(x) => we have to subtract function t from function s

[tex](s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2[/tex]

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

[tex](s+t)(x) = s(x)+t(x)\\= x+6+4x^2[/tex]

Putting x = -3

[tex]= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39[/tex]

Hence,

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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(there should only be one variable after this step)

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Answer:

What are two-step equations?

A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true.

Example 1

We're given an equation and asked to solve for

x

xx:

3

x

+

2

=

14

3x+2=143, x, plus, 2, equals, 14

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x

xx by itself.

3

x

+

2

=

14

3

x

+

2

2

=

14

2

3

x

=

12

3

x

3

=

12

3

x

=

4

3x+2

3x+2−2

3x

3

3x

x

=14

=14−2

=12

=

3

12

=4

The solution:

x

=

4

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It's always a good idea to check our solution in the original e

3

x

+

2

=

14

3

4

+

2

14

12

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2

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14

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14

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a

aa:

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Given: Initial population = a= 12,000,

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Answers

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Answers

Answer:

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Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Total persons in party = 37

Let,

Number of men = m

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So,

Total number of persons in party ,

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Now,

According to the question,

m = w - 9

Now

Substituting m = w - 9 in equation (i),

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We get,

w = 23

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