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3 years ago

De las soluciones de la siguiente ecuación: x2 + 8x − 30 = 18? Cual es el numero de mayor valor Entre.

Mathematics

1 answer:

vekshin13 years ago

4 0

Answer:

The correct answer is "x = 4" and "x = -12".

Step-by-step explanation:

The given equation is:

⇒ $x^2+8x-30=18$

On subtracting "18" from both sides, we get

⇒ $x^2+8x-30-18=18-18$

⇒ $x^2+8x-48=0$

On applying factorization, we get

⇒ $x^2+12x-4x-48=0$

On taking common, we get

⇒ $x(x+12)-4(x+12)=0$

⇒ $(x-4)(x+12)=0$

⇒ $x-4=0$

$x=4$

or,

⇒ $x+12=0$

$x=-12$

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Question 4) Identify the surface area of the composite figure.

netineya [11]

The surface area of the composite figure is given by 730 sq.in

<h3>What are Composites ?</h3>

Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.

It is given in the question to determine the area of the composite figure

Area of Cube is

Area = 6 * side²

Area = 6 * 4² = 96 sq.in

The surface area of the cuboid is equal to

Sum of surface area of all the sides

As the opposite sides are same

7x10x2 + 15x10x2 + 7x15x2

650 sq.in

As the surface area of the base of the cube is counted twice

Therefore it will subtracted from the total

96 + 650 - 4*4

=730 sq.in

Therefore the surface area of the composite figure is given by 730 sq.in

To know more about Composites

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2 years ago

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Elan Coil [88]

Answer:

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

$e^{ln(2)}$

The answer to this would be 2 because these inverse functions "'cancel" out

$e^{ln2} = 2$

8 0

3 years ago

Read 2 more answers

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Svetllana [295]

Answer:

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Step-by-step explanation:

3. Option a is correct

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3 years ago

Let f(x) = x ^ 2 and g(x) = x - 3 . Evaluate (g?f)(0).

nignag [31]

Answer:

$g(f(0))=-3$