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4 years ago

What are the possible rational zeros of f(x)=x^4+2x^3-3x^2-4x+20?

1 answer:

8 0

Roots test tells us to take the factors of the 20 divided by the factors of the coefficient of the the first.

factors of 20 are 1,2,4,5,10,20
factors of 1 are 1

so plus or minus 1/1, 2/1, 4/1, 5/1, 10/1, 20/1 are all possible rational zeros

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How to graph an exponential function

irina1246 [14]

Step-by-step explanation:

Exponential function is given by general form $y=ab^x$

Where a and b are constants.

say a=1 and b=2 then we can write function as :

$y=1*2^x$

or $y=2^x$

To graph this or any exponential function, we just need to find some points then join them by a curved line.

Like plug x=0, 1, 2,... into above function and find points:

plug x=1

$y=2^x=2^1=2$

Hence point is (1,2)

Find more points similarly then graph them to get the graph as shown below:

7 0

4 years ago

13. Given the volume, V, of the rectangular prism below, find h, the height of the prism. V = (x ^ 2 + 2x)/(x + 1) l= 2x + 4 w=

NikAS [45]

Given:

Volume of a rectangular prism is:

$V=\dfrac{x^2+2x}{x+1}$

Dimensions of the rectangular prism are:

$l=2x+4$

$w=\dfrac{x}{8}$

To find:

The height of the rectangular prism.

Solution:

The volume of a rectangular prism is:

$V=l\times w\times h$

After substituting the values, we get

$\dfrac{x^2+2x}{x+1}=(2x+4)\times \dfrac{x}{8}\times h$

$\dfrac{x(x+2)}{x+1}=\dfrac{2x(x+2)}{8}\times h$

$\dfrac{x(x+2)}{x+1}\times \dfrac{8}{2x(x+2)}=h$

$\dfrac{1}{x+1}\times \dfrac{8}{2}=h$

$\dfrac{4}{x+1}=h$

Therefore, the correct option is C.

8 0

3 years ago

Which equation can be used to find the length of AC?

lys-0071 [83]

Answer:

AC = 10sin40°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = $\frac{opposite}{hypotenuse}$ = $\frac{AC}{AB}$ , then

sin40° = $\frac{AC}{10}$ ( multiply both sides by 10 )

10sin40° = AC

4 0

3 years ago

Is the common difference the same as the slope of a linear model?

dangina [55]

The common difference is the constant rate of change, or the slope of the function. We can construct the linear function if we know the slope and the vertical intercept. To find the y-intercept of the function, we can subtract the common difference from the first term of the sequence.

7 0

3 years ago

In Oregon, the mean annual rainfall in Rockaway Beach is 118.88 inches and the mean annual rainfall in Falls City is 122.28 inch

JulsSmile [24]

Answer:

Step-by-step explanation:

Based on this information, you could conclude that the annual rainfall in Falls City is generally more than that of the annual rainfall in Rockaway Beach. This is based on the information provided since the numbers given are the mean annual rainfall. Meaning that this is the average amount of rain that falls in any given year in that specific location. Since the amount provided for Falls City is a larger number then it means it gets more rainfall than Rockaway Beach on average and would therefore be the safest conclusion that can be made.

5 0

3 years ago