I WILL GIVE BRAINLIEST + 8 POINTS IF YOU PLOT THE POINTS ON THE GRAPH!!!

viktelen [127]

-7 to make 4 so -4x=4 x=-1

The answer is x=-1

Hope this helps:)

6 0

3 years ago

Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior, symmetry, boundedness, extr

Sunny_sXe [5.5K]

Answer:

$f(x) = 3 \cdot 0.2^x$

Step-by-step explanation:

$f(x) = 3 \cdot 0.2^x$

Domain of f: "What values of x can we plug into this equation?" This makes sense for all real numbers so the domain is $\mathbb{R}$

Range of f: "What values of f(x) can we get out of the function?" From the graph we see we can get any real number greater than 0 out of the function by choosing a suitable x-value in the domain. The range is therefore $(0, \infty)$ .

Continuity: Since the graph is one, unbroken curve (i.e. a curve that can be drawn in one movement without taking your pen off the paper). We see that "roughly speaking" the function is continuous.

Increasing or decreasing behaviour: For all x in the domain, as x increases, f(x) decreases. This means the function exhibits decreasing behaviour.

Symmetry: It is clear to see the graph of f(x) has no symmetry.

Boundedness: Looking at the graph we see it is unbounded above as when we choose negative values, the graph of f(x) explodes upwards exponentially. Choose a value of x, plug it in, next choose (x-1), plug this in and we observe $f(x-1) > f(x)$ for all x in the domain.

The function is however bounded below by 0: no value of x in the domain exists which satisfies $f(x) < 0$ .

Extrema: As far as I can tell, there are no turning points on the curve. (Is this what you mean by extrema?)

Asymptotes: Contrary to the curve's appearance, there are no vertical asymtotes for this curve. The negative-x portion of the curve is just growing so quickly it appears to look like an asymptote. There is a value of f(x) for all x<0. There is however a horizontal asymtote: $y=0$ .

End behaviour: As $x \rightarrow \infty, f(x) \rightarrow 0$ . As $x \rightarrow -\infty, f(x) \rightarrow +\infty$

5 0

3 years ago

I really need a good explanation on how to solve this, not just the answer please please please..

Alchen [17]

Answer:

Step-by-step explanation:

94

Mean = add all the numbers up and divide by how many numbers you added

So add (x +120 + 112 + 130 + 128 + 124 ) divided by 6 =118

x is the score you are looking for and 118 is the average he wants

so (x + 614 ) divided by 6 =118

now multiply both sides by 6

x + 614 = 118 times 6

x + 614 = 708

subtract 614 from both sides

x = 94

4 0

3 years ago

Carl is making a garden that is twice as long as it is wide. he wants to cover 271

d1i1m1o1n [39]

x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .

Area of a figure is the amount of space acquired by the figure

Area of a rectangle=Length x breadth

length=x

breadth=x/2

Area of rectangular lawn=lxb

=x.x/2

But as per question,

Area=271 ft²

⇒x²/2=271 1

⇒x=23.28 ft²

Therefore, x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .Value of x i.e. length is 23.28 ft²

Learn more about area,

brainly.com/question/25292087

#SPJ10

6 0

2 years ago

Helppp lol which system of linear equations is represented by the graph?

kondaur [170]

Answer:

y ≥ x - 2, and x + 2y < 4 ; Option C

Step-by-step explanation:

Consider the y - intercept and slope of 1 of these given lines,

$y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1$

From this we can formulate the equation of 1 line;

$Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2$

Now consider the y - intercept and slope of the remaining line;

$y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }$

This creates a line with the equation as such;

$Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4$

From this we see that the solution of the system is such;

Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C

6 0

4 years ago