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2 years ago

Expand and simplify (2x)^2(3−1)

Mathematics

1 answer:

lord [1]2 years ago

4 0

Answer:

8x^2

Step-by-step explanation:

(2x)^2(3−1)

= 4x^2(2)

= 8x^2

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Evaluate the integral:

tatyana61 [14]

Answer: girllll ion know

Step-by-step explanation:

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3 years ago

F(x) =x2+2x-3 g(x)=3x-14

Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

= 9x² - 84x + 196 + 6x - 28 - 3

= 9x² - 78x + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

8 0

1 year ago

A family pass to the amusement park costs $54 Using the Distributive Property,write an expression that can be used to fine the c

ruslelena [56]

The distributive property is: a(b + c) = ab + ac. In this expression, the example would be 8(54 + 0) = (8 x 54) + (8 x 0). The cost of eight family passes is therefore equal to 8 x 54. $432 is the answer.

8 0

2 years ago

Please help,thank you

expeople1 [14]

Answer:

No, It is not a function!

Step-by-step explanation:

5 0

2 years ago

1-58. Mr. Wright was making a table to figure out how much it costs to send a certain numt

Drupady [299]

A table of values can be used to represent variables that are directly proportional.

The complete table of proportions is:

$\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]$

Given that

$\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]$

Let:

$L \to$ Letters

$C \to$ Cost

Using proportional reasoning, we have:

$C = kL$

Where

$k \to$ ratio of proportion

For the first values of C and L, we have:

$C = kL$

$0.45 = k \times 10$

Divide both sides by 10

$k = 0.045$

So, the equation of proportion is:

$C = 0.045L$

When C = 6.75, we have:

$C = 0.045L$

$6.75 = 0.045L$

Solve for L

$L = \frac{6.75}{0.045}$

$L = 150$

When L = 7, we have:

$C = 0.045L$

$C = 0.045 \times 7$

$C = 0.315$

When L = 1, we have:

$C = 0.045L$

$C = 0.045 \times 1$

$C = 0.045$

When L = 500, we have:

$C =0.045L\\$

$C =0.045 \times 500$

$C =22.5$

When C = 18.90, we have:

$C = 0.045L$

$18.90 = 0.045L$

Solve for L

$L=\frac{18.90}{0.045}$

$L=420$

Hence, the complete table is:

$\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]$