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3 years ago

5

The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c. What does the graph tell

you about the domain and range of this function?

1 answer:

ahrayia [7]3 years ago

6 0

Answer:

the domain is based on the vertical line and range is based on horizontal line.

Step-by-step explanation:

√(-5x+1) +2

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Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.

galina1969 [7]

Answer:

All potential roots are 3,3 and $-\frac{5}{3}$ .

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

$f(x)=3x^3-13x^2-3x+45$

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

$p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45$

$q=\pm 1,\pm 3$

All possible roots

$\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}$

Now we check each rational root and see which are possible roots for given function.

$f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0$

$f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32$

$f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144$

$f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}$

Similarly, we will check for all value of p/q and we get

$f(-5/3)=0$

Thus, All potential roots are 3,3 and $-\frac{5}{3}$ .

5 0

2 years ago

Read 2 more answers

13. Danny is in science class and is given a square block of metal with

jenyasd209 [6]

Answer: 336g.

Step-by-step explanation:

the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.

Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):

7=m/48

to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.

5 0

3 years ago

Which term refers to a statistical value that is a measure of the spread or variation in the scores in a given data set?

IRINA_888 [86]

Answer:

A

Step-by-step explanation:

The dispersion refers to the overall spread of the data — how "disperse" it is across values.

The independent variable is what you manipulate in a study, whereas the dependent variable is what you measure.

Central tendency is another word for average.

6 0

2 years ago

F(x)=1/x and g(x)=x-4<br> Can you evaulate (g o f)(0) explai sn why or why not

Ostrovityanka [42]

Hello from MrBillDoesMath!

Answer:

(g o f)(0) cannot be evaluated

Discussion:

(g o f)(0) = g ( f(0)) if it exists but f(0) is not defined (as division by zero is not defined) so (g o f)(0) cannot be evaluated

Thank you,

MrB

7 0

3 years ago

3.14 times 16 divided by 3

AleksAgata [21]

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

$50.24 \div 3$

2) Simplify 50.24 ÷ 3 to 16.746667.

$16.746667$

<u>Therefor</u><u>. </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>16.746667.</u>

5 0

2 years ago