Which of these relations are functions?

Compute [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] using implicit differentiation:

[tex]x^2-(xy)^{1/2}=2y^2+3x[/tex]

[tex]\dfrac{\mathrm d(x^2)}{\mathrm dx}-\dfrac{\mathrm d(xy)^{1/2}}{\mathrm dx}=\dfrac{\mathrm d(2y^2)}{\mathrm dx}+\dfrac{\mathrm d(3x)}{\mathrm dx}[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(\dfrac{\mathrm dx}{\mathrm dx}y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac12\left(\dfrac yx\right)^{1/2}-\dfrac12\left(\dfrac xy\right)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-3-\dfrac12\left(\dfrac yx\right)^{1/2}=\left(4y+\dfrac12\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]4x-6-\left(\dfrac yx\right)^{1/2}=\left(8y+\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x-6-\left(\frac yx\right)^{1/2}}{8y+\left(\frac xy\right)^{1/2}}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x(xy)^{1/2}-6(xy)^{1/2}-y}{8y(xy)^{1/2}+x}[/tex]

Plug in x = 4 and y = 1 to find that the tangent line's slope is 19/20.

Answer:

Step-by-step explanation:

From the graph attached,

Black curve represents a function f(x) = 2ˣ

When this curve is reflected over the x-axis image of the function will be,

g(x) = -[tex]2^{x}[/tex] [Red curve]

Similarly, curve represented by h(x) = [tex]2^{-x}[/tex] is the blue curve [image of f(x) reflected over y-axis]

When this curve is reflected over the x-axis, image of the function will be,

h'(x) = [tex]-2^{-x}[/tex] [green curve]

[tex]-2^{x}[/tex] → Red

[tex]-2^{-x}[/tex] → Green

[tex]2^{-x}[/tex] → Blue

Answer:

Step-by-step explanation:

[tex]x =\frac{4-k}{6}[/tex]

Cross Multiply

[tex]x \times 6 = (4-k)\times 1\\\\6x = 4-k[/tex]

Isolate k

[tex]6x -4 =-k[/tex]

Divide through by -1

[tex]\frac{6x}{-1} -\frac{-4}{-1} = \frac{-k}{-1}\\ \\-6x+4 =k\\\\k =-6x+4[/tex]

Answer:

Step-by-step explanation:

Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Now:  905, 945, 970, 995 , 1015, 1030 , 1040 , 1124

a) Median stays same.

As number of data's is 8, median is the average of 4th and 5th term

Median = (995 + 1015)/2 = 2010/2  =

Median = 1005

When rent changes from $545 to $ 905, the 4th and 5th term remains same.

So, median stays same

b) Mean increases 45

Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Mean = Sum of rents ÷ 8

= (545 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8

=7664/8

= 958

Now : 905, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Mean = (905 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8

         = 8024/8

         = 1003

Mean increases by 1003 - 958 = 45

Answer:

it's -11

Step-by-step explanation:

hope this helped

Answer:

-11

Step-by-step explanation:

Problem: 4-9+(-6)

First: 4-9

Second: -5+(-6)

Answer: -11

Answer:

y = 3x - 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (1, -2)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 4: Write parallel linear equation

y = 3x - 5

Answer:

r=168

Step-by-step explanation:

Answer:

7/14+6/14=13/14

Step-by-step explanation:

find the common denominator(14)

change both fractions

1/2*7/7(2*7=14)=7/14

3/7*2/2(7*2=14)6/14

then add.

Answer:

E

Step-by-step explanation:

is the answer

Answer:

400,000

Step-by-step explanation:

ga fa gza ca Morgan aca she moaned so hard

Answer:

6=a23

8=a35

2=a32

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5 - 2i)^2

25 - 10i - 10i + 4I^2

25 -20i - 4

21 - 20i

Answer:

A

Step-by-step explanation:

Answer:

He can run more 4.5 miles [total 13.5 miles in one hour]

Step-by-step explanation:

check the attachment for explanation

Huh? Is yo question finished

Answer:I tnink its 21 sorry if wrong

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2-3= -1

3-2 = 1

Answer:

7/18

Step-by-step explanation:

Convert the 10, 9, and 6 to a common denominator which would be 90. So you would have 90/90, 40/90, and 15/90. Then you would add the 15/90 and 40/90 together getting 55/90. Then you subtract 90/90 by 40/90. You would then get 35/90 and then simplify to 7/18.

Anthony had eaten an (11/18) fraction of pizza in all.

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

In the question, we are informed that there There are ten pieces of pizza. Anthony ate a 4/9th fraction of the pizza for dinner. He ate a 1/6th fraction of the pizza for a bedtime snack.

We are asked to find how much of the pizza has he eaten in all.

Total pizza Anthony had = Pizza he had for dinner + Pizza he ate as a bedtime snack.

or, Total pizza Anthony had = {(4/9) + (1/6)} fraction of pizza,

or, Total pizza Anthony had = {(8/18) + (3/18)} fraction of pizza,

or, Total pizza Anthony had = {11/18}th fraction of pizza.

Therefore, Anthony had eaten an (11/18) fraction of pizza in all.

Learn more about fractions at

brainly.com/question/11562149

#SPJ2

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3

hope I helped.

Answer:

143.75

Step-by-step explanation:

idk man use google or something

Answer:

85

Step-by-step explanation:

There are three angles in a triangle

Since it is a right triangle one angle is 90 degrees

We are given one angle is 5 degrees

Let the third angle be x

The sum of the angles of a triangle is 180

x+5+90 =180

Combine like terms

x+95 = 180

Subtract 95 from each side

X+95-95 = 180-95

x = 85

Answer:

The Answer is 113/348

Step-by-step explanation: