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3 years ago

What is the next term in the sequence below?

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

4 0

Answer:

1.5(B)

Step-by-step explanation:

This is a geometric sequence where each number is 1/2 times the last. So 3/2 is 1.5.

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I need an answer ASAP I will thank you and give you a like!

LenaWriter [7]

Answer:

Option C. As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

Step-by-step explanation:

we know that

Observing the table

The function f(x) is a increasing function

As the value of x increases, the value of f(x) increases

As x approaches positive infinity, f(x) approach positive infinity

Find the slope of the linear equation g(x)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points (6, -2) and (3, 7)

substitute

$m=\frac{7+2}{3-6}$

$m=\frac{9}{-3}=-3$

The slope of the linear equation g(x) is negative

That means ----> Is a decreasing function

As the value of x increases, the value of g(x) decreases

As x approaches positive infinity, g(x) approach negative infinity

therefore

As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

6 0

3 years ago

Match each function with its correct description. HELP, picture attached.

Svetradugi [14.3K]

Answer:

1. (x+6)(2x - 3)(x - 1)²

2.(x-2)²(-2x - 1)²(-x + 1)

3. (-x + 1)³(x + 2)²(x - 3)

4. (-2x + 1)²(x - 3)²(x + 1)

Step-by-step explanation:

1. Degree 4, leading coefficient positive

(x+6)(2x - 3)(x - 1)²

That's the only equation with a degree of 4 (meaning x^4).

If you square the last parenthesis, you'll get an x^2, multiplied by the 2nd parenthesis you'll get an x^3 and multiply with the first parenthesis you'll get an x^4.

2. Degree is 5, leading coefficient is negative

(x-2)²(-2x - 1)²(-x + 1)

If you do the square of each of the first two parenthesis, you'll get something like (x²...)(4x²...)(-x + 1)

Multiply the first two parenthesis, to get (4x^4....)(-x + 1)

So, at the end you'll get -4x^5....

3. Degree 6, leading coefficient negative

(-x + 1)³(x + 2)²(x - 3)

That's the only equation of degree 6 given... so the choice is easy. Let's verify it's degree 6 and with negative leading coefficient.

Cube the first term and square the second one, you'll get something like...

(-x³...)(x²....)(x - 3)

If you combine all that you'll get something like -x^6....

4. Degree is 5, leading coefficient is positive

(-2x + 1)²(x - 3)²(x + 1)

If you do the square of each of the first two parenthesis, you'll get something like (4x²...)(x²...)(x + 1)

Multiply the first two parenthesis, to get (4x^4....)(x + 1)

So, at the end you'll get 4x^5....

3 0

3 years ago

State whether each of the following represents a function

quester [9]

Need information to answer

8 0

3 years ago

15 Points! Find f(x) and g(x) so that the function can be described as y = f(g(x)).

finlep [7]

$f(x)=\dfrac{3}{\sqrt{x}}\\\\g(x)=3x+4\\\\\\y=f(g(x))=f(3x+4)=\dfrac{3}{\sqrt{3x+4}}$

3 0

4 years ago

The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle. What is the width of the rectangle?

____ [38]

Lol you don’t know fhfhdgdgdhehdhewssssdd

4 0

3 years ago