Which of the following is equivalent to f(x)?

Which Of The Following Is Equivalent To F(x)?

Answers

Answer 1

Answer:

D. [tex]x^{-3/2}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x) = \frac{1}{x\sqrt{x} }[/tex]

Equivalent expression is:

[tex]\frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}[/tex]

Correct choice is D


Related Questions

If I'm 4years and my brother is half of my age now I'm 44 how old is he ?

Answers

Answer:

22

Step-by-step explanation:

If you are 4 and he is half your age that would make him 2 meaning that he is 2 years younger than you so if you are now 44 then he would be 2 years younger than you so he would 42

f(2) if f(x) = 3x + 5. f(2)?

Answers

Answer:

f(2) = 11

Step-by-step explanation:

Plug 2 in for x

3(2) + 5

6 + 5

= 11

The temperature at the begſnning of the day was - 3°F. The temperature dropped 2°F by the end of the day.
What was the temperature at the end of the day? Use the number line model to find – 3-2.

Answers

Answer:

- 5°F

Step-by-step explanation:

- 3°F - 2°F

(-3) - 2

-5

- 5°F

Solve the equation. 4x2 + 20 = -7​

Answers

isyuwwkshshjehehwjejsdndbddhddhdjsnsnss

What is one root of this equation?

2x^-4x+9=0

Answers

9514 1404 393

Answer:

  1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

  2(x² -2x +1) +7 = 0

  2(x -1)² +7 = 0

Then the solutions are ...

  (x -1)² = -7/2

  x = 1 ±i√3.5

One solution is 1+i√3.5.

need help......................................... I DO ANYTHING

Answers

Step-by-step explanation:

Additive inverse are numbers with the same number but different signs. For example, 1 and -1 are additive inverse.

An additive inverse and it original number add to zero.

For example,

[tex]1 + ( - 1) = 0[/tex]

Using this info, w is -0.8

0.8 and -0.8 are equidistant from 0.

-0.8 is 2 mark to the right of -1.

So this means that 0.8 is 2 mark to left of 1.

How many solutions does the nonlinear system of equations graphed
below have?
Y=-1/64(x-16)^2+4 Y=-1/2x-4

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.

There are 2 solutions to the graphed system of equations.

Find the equation of the line with the slope 3/2 through the point (-6,2)

Answers

Step-by-step explanation:

y-y1=slope (x-x1)

where x1=-6,y1=2 and slope=3÷2

y-2=3÷2{x-(-6)}

y-2=3÷2(x+6)

y-2=(3x+18)÷2 cross multiply

2y-4=3x+18 collect like terms

2y=3x+18+4

2y=3x+22....ans

If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red or yellow

Answers

Add the two fractions together but first rewrite the fractions with a common denominator.

4/15 = 8/30

3/10 = 9/30

8/30 + 9/30 = 17/30

Answer: 17/30

The fraction is 17/30.

What is fraction?

fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

For example.

The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.

Given:

4/15 of the candies in a bag of Skittles are red

3/10 are yellow

So, make the denominator of both fraction same by LCM

4/15 = 8/30

3/10 = 9/30

Now,

8/30 + 9/30 = 17/30

Hence, the fraction is 17/30.

Learn more about fraction here:

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An equation for the difference between the time is 38.4 - a= 9.59. The others time was

Answers

Answer:

Presumably the "others time" is the quantity [tex]a[/tex], which is 28.81

Step-by-step explanation:

Let's solve for [tex]a[/tex] from

[tex]38.4-a=9.59[/tex]

Adding [tex]a[/tex] gives

[tex]a+9.59=38.4[/tex]

Then subtracting 9.59 gives

[tex]a=38.4-9.59=28.81[/tex]

Class 8 squares and square roots without adding find the sum of a) 1+3+5+7+9+11+13+15+17.

Answers

Answer:

given

n=9

a=1

d=3-1=2

Step-by-step explanation:

now , by formula,

sn = n/2(2a+(n-1)d)

= 9/2(2×1+(9-1)×2)

=9/2×18

=81

Point B is between points A and C. AB = 2x - 3, BC = 7x - 10, and AC = 32.
What is the value of x?

Answers

2x-3 + 7x - 10 = 32
9x -13 = 32
9x = 45
X=5

find the solution to this systems of equations

Answers

Answer: I dont know

Step-by-step explanation:

Answer:

x= -y+1

y=2x+z−1

z=−x−2y+ 8 /3

Step-by-step explanation:

I honestly entered it into a algebra calculator which gave me the steps.

a system of equations is given below in terms of the scalar parameters a and b.

ax + 2y+ 4z = b

2x +y+3z= a+1

5x-2y+ (a+1)z= 3

(1) Show that if a = -5 or a=2, the system does not have a unique solution.​

Answers

A system of equations only has a unique solution if all the equations are linearly independent (this means that we have two or more equations representing the same curve).

Here we have the system:

a*x + 2*y + 4*z = b

2*x + y + 3*z = a + 1

5*x - 2*y + (a + 1)*z = 3

Now we want to show that if a = -5 or a = 2, then the system does not have a unique solution.

To see this, we can just replace a by these values and see that the equations are not linearly independent.

for a = 2 we get:

2*x + 2*y + 4*z = b

2*x + y + 3*z = 2 + 1

5*x - 2*y + (2 + 1)*z = 3

Simplifying this:

2*x + 2*y + 4*z = b

2*x + y + 3*z = 3

5*x - 2*y + 3*z = 3

From the second and third equation we can write:

2*x + y + 3*z = 3 = 5*x - 2*y + 3*z

2*x + y + 3*z = 5*x - 2*y + 3*z

2*x + y = 5*x - 2*y

3*y = 3*x

y = x

now that we know this, we can rewrite the equations as:

4*(x + z) = b

3*(x + z) = 3

Now we can take the quotient of the two equations to get:

(4*(x + z))/3*(x + z) = (4/3) = b/3

b = 4

Then the equations become:

4*(x + z) = 4

3*(x + z) = 3

Here we can divide te above one by 4 and the below one by 3 to get:

(x + z) = 1

(x + z) = 1

So both equations represent the same line, thus, the system does not have a unique solution.

Now for a = -5:

-5*x + 2*y + 4*z = b

2*x + y + 3*z = -5 + 1

5*x - 2*y + (-5 + 1)*z = 3

Simplify it:

-5*x + 2*y + 4*z = b

2*x + y + 3*z = -4

5*x - 2*y  - 4*z = 3

Now we can rewrite the first equation as:

-5*x +2*y - b = -4*z

and the third one as:

-4*z = 3 - 5*x + 2*y

Then we can write:

-5*x +2*y - b = -4*z = 3 - 5*x + 2*y

-5*x +2*y - b = 3 - 5*x + 2*y

Now we can remove the -5*x in both sides to get:

+2*y - b = 3 + 2*y

Now we can remove the 2*y in both sides to get:

-b = 3

b = -3

Replacing this in our system we get:

-5*x + 2*y + 4*z = -3

2*x + y + 3*z = -4

5*x - 2*y  -4*z = 3

Now we can multiply the first equation by -1:

-1*(-5*x + 2*y + 4*z)= -1*(-3)

5*x - 2*y - 4*z = 3

This is the same as the third equation, so here we can see that the first and third equations represent the same line, thus, the system of equations does not have a unique solution.

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Can someone pls help me
I will mark u as Brainliest

Answers

Answer:

C

Step-by-step explanation:

because when you reflect it the figure A on the y-axis, it looks the same as A*, and when you move it 5 units down both figures are at the same place, showing that the shapes are congruent.

What is 50 divided by 8?

Answers

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

round 6.7 to the nearest whole number.

Answers

Answer:

7

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

[15-(|-6+2|+ squareroot9)]^2
can anyone explain the steps for how to solve it too? i’m confused :(

Answers

Answer:

1936

Step-by-step

[tex][15 - (1 - 6 + 21 + \sqrt{9} )] ^{2}[/tex]

use BIDMAS

(1 - 6 + 21 + [tex]\sqrt{9}[/tex]) = (1 - 6 + 21 + 3) = (1 - 30) = -29

[15 - -29] = [15 + 29] because two minuses together make a plus

[tex]44^{2}[/tex] = 1936

What is the correct way to notate the shaded
region indicated by this Venn Diagram?

Answers

The correct notation will be A∪B and it can be read as A union B

In the given Venn diagram we can deduce the following;

U: this is the universal set, it comprises all the elements in set A and set B, as well as the compliments of set A and set B.A: this is include the elements contained in set AB:  this include the elements contain in set BA∩B: this includes the elements in common for both set A and set B. This is often read as A intersect B.A∪B: this include all the elements contained in both set A and set B. This often read as A union B.

The shaded region in the Venn diagram includes all the elements in set A and all the elements in set B.

Thus, the correct notation will be A∪B and it can be read as A union B.

Learn more here: https://brainly.com/question/12971859

A Venn Diagram is a diagram used to define sets.

Here we will find that the notation of the shaded region is: A ∪ B

To know this, we need to define all of the notations in the options:

A ∩ B:  This is the intersection of sets A and B, so this is the set of the elements that belong to both sets.A ∪ B: This is the set of all the elements that belong to either A or B (or both)A ⊂ B: This means that set A is included in B¬A (or a set with a line on top): Represents the set of all the elements that do not belong to A.

So with these general notations, is easy to conclude that if we have shaded sets A and B completely, then we have the set: A ∪ B

The correct option is C.

If you want to learn more about sets, you can read:

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Woolworths had a going out of business sale. The price of a telephone before the sale was $39.98. What was the price of the telephone after a 30% discount? If the sale price of the same telephone had been $23.99, what would the percentage discount have been?

Answers

to find the price after the discount the equation would be 39..98x.30which would equal 11.99. subtract that from the price before the discount and you get $27.99. thats your first answer. to find the second answer you would do 23.99 divided by 11.99 (the diacount from the first equation) to get the discount rate of 2% so your final answers are $27.99 and 2%

Examples of rounding?

Answers

Answer:

Rounding means making a number simpler but keeping its value close to what it was.

Step-by-step explanation:

Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80. ... But 76 goes up to 80.

What is the value of 3-(-2) ?

Answers

Answer:

3  + 2 = 5

                          Thank You

The difference of two numbers is 16, and their sum is 20. What are the two numbers?

Answers

Answer:

18 and 2

Step-by-step explanation:

18-2=16

18+2=20

Hi ;-)

[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]

These numbers are 18 and 2.

the square of a positive number is always ________

fill in the blanks​

Answers

Answer:

the square of a positive number is always positive

helppppp maybee pplsss

Answers

Answer:

CD and BE

BC and DE

...........

3) You roll a number cube what's the probability of
rolling a number higher than 4 and then a 2?

Answers

Answer:

1/18

Step-by-step explanation:

Probability of getting a number higher than 4=1/3

Probability of getting 2=1/6

Probability of rolling a number higher than 4 and then a 2=(1/3)*(1/6)=1/18

Which number produces a rational number when added to 1/2?
A. 4.35889894...
B. 0.314
C. 12
D. TT

Answers

Answer:

B and C

Step-by-step explanation:

A is a non terminating number which means it isn't rational. B and C are both rational and adding 1/2 to them won't change that, since they are terminating numbers. D is not a number.

Answer:

12+1/2 (0.5 as a decimal)

Step-by-step explanation:

π +0.5 will give an irrational number.

0.314 is rational

12 is a counting number.

And 4.35889894... is an irrational number.

An irrational number plus a rational one equals an irrational number.

Hope it helps! Please mark Brainliest! :-)

Can you guys plz help me

Answers

Answer:

The segment CD is a diameter . It is 15 cm long.

What is the answer for number 74.

Answers

Answer:

g

Step-by-step explanation:

Evaluate the exprssion when a= -5
a2+6a-9

Answers

Answer:

-49

Step-by-step explanation:

Substitute the a for -5

2(-5)+6(-5)-9

Multiply:

-10+-30-9

Add:

-40-9

Subtract (Add negatives):

-49

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-14

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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