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Vlad1618 [11]
3 years ago
7

Which sentence best describes the end behavior of the function shown

Mathematics
1 answer:
salantis [7]3 years ago
8 0

The function's end behavior is represented by;

Option d; as x increases, y increases, and as x decreases, y increases.

Explanation:

  • First, we need to analyze the plotting of the graph. When it is on the negative axis of x, as the values of x increase (x values increasing in the negative axis means it's decreasing in value), the y values also increase. So as x decreases, y increases.
  • On the positive axis of x, as the x values increase, the corresponding values of y also increase with x. So as x increases, y values also increase with it.
  • So in the graph, as x increases, y also increases whereas if x decreases, y increases. This is given by option d.

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The cost of renting a car for a day is $0.70 per mile plus a $20 flat fee
Andreyy89

Answer:

a) y = .70x + 20

-To find this, use the rate as x since it will change based on the number of miles. Since 20 is a flat fee, it can be added at the end as a constant.

b) This graph forms a straight line.

-This is because the answer in a is a linear equation.

c) The slope is .70 and the y-intercept is 20.

-For this one, the y-intercept is always the constant at the end of the equation and the slope is the coefficient of x.



5 0
3 years ago
If lines and and cd are parallel,which if the following statements are true?
faltersainse [42]

Answer:

A

Step-by-step explanation:

AB ll CD

what grade r u in btw ?

7 0
2 years ago
Simplify the sum (3x^4 + 2x^2 + 1) + (5x^4 - 9x - 7)
Wittaler [7]

Answer:

8x^4 + 2x^2 - 9x - 6

Hope this helps!

7 0
3 years ago
Someone plz help asap
zheka24 [161]

Answer:

As the slope is -2, so the rate of change of the function is:

  • rate of change of function = -2

Step-by-step explanation:

The slope is basically the rate of change of a function.

Let us take the two points from the graph

  • (0, 5)
  • (4, -3)

Taking the slope between two points to determine the rate of change of a function

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:5\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)

m=-2

As the slope is -2, so the rate of change of the function is:

  • rate of change of function = -2
5 0
2 years ago
Write the partial fraction decomposition fro the ration expression below
zlopas [31]
\dfrac{5x-2}{(x-1)^2}=\dfrac a{x-1}+\dfrac b{(x-1)^2}
5x-2=a(x-1)+b

Since 5x-2=5x-5+3=5(x-1)+3, it follows that a=5 and b=3, so

\dfrac{5x-2}{(x-1)^2}=\dfrac5{x-1}+\dfrac3{(x-1)^2}

\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac{x^3+x+x+2}{x^2(x^2+1)}=\dfrac ax+\dfrac b{x^2}+\dfrac{cx+d}{x^2+1}
x^3+x^2+x+2=ax(x^2+1)+b(x^2+1)+(cx+d)x^2
x^3+x^2+x+2=(a+c)x^3+(b+d)x^2+ax+b

When x=0, you find that b=2. It's also clear that a=1. So the remaining constants must be 1+c=1\implies c=0 and 2+d=1\implies d=-1, and so you get

\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac1x+\dfrac2{x^2}-\dfrac1{x^2+1}
6 0
3 years ago
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