which of the following equations is equivalent to y=lnx?
a. y=e^x
b. x=e^y
c. x=y^e
d. y=x^e

Answer:

the origin

Step-by-step explanation:

Answer:

The origin

Step-by-step explanation:

(0,0) is often called the origin.

Answer:

1/14(the first one)

Step-by-step explanation:

(NOTE: many questions may ask you to put the equation in a certain format. This answer is assuming you can put it in slope-intercept form.)

Answer:

y= -3x-3

Step-by-step explanation:

1) A handy way to write an equation from a graph is to use the slope-intercept form: y = mx + b. In this format, the "m" represents the slope - or the measure of the steepness of the graph (we'll get more into this in the next step). The "b" represent the y-intercept, or where the point in which the graph hits the y-axis. If you know what the slope and y-intercept is, it is very easy to create an equation!

2) So let's find the slope first. The slope of an equation is represented by [tex]\frac{rise}{run}[/tex] , or the change in the y from each point, going up or down, divided by the change of x, going from left to right. So, knowing this, we can take two points we see the line hit and count the change from the x and y values.

3) Now, let's find the y-intercept. This part is much easier: just look at the graph and find the point where the line hits the y-axis. In this case, it's (0,-3).

4) All you have to do now is plug the slope and y-intercept we found into y = mx + b. So, put the slope in the "m" place and remember to put the y-value of the y-intercept into the "b" place.

This should get you y= -3x - 3 as your answer!

Answer:

[tex]m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-1, 4)

Point (5, 7)

Step 2: Find slope m

Answer:

65

Step-by-step explanation:

Answer:

[tex]Measurement = 0.75ft[/tex]

Step-by-step explanation:

See attachment for complete question

Method 1:

Considering the width and length of the quilt

Given

[tex]Number\ of\ squares = 24[/tex]

Required

Determine the dimension of 1 square

The width of the quilt is 4.5ft and there are 6 squares in that dimension.

Each measurement is calculated as thus:

[tex]Measurement = \frac{4.5ft}{6}[/tex]

[tex]Measurement = 0.75ft[/tex]

Or

The length of the quilt is 3ft and there are 4 squares in that dimension.

Each measurement is calculated as thus:

[tex]Measurement = \frac{3ft}{4}[/tex]

[tex]Measurement = 0.75ft[/tex]

Method 2:

Calculate the area of the quilt.

[tex]Area = 4.5ft * 3ft[/tex]

[tex]Area = 13.5ft^2[/tex]

The area of 1 of the 24 squares is calculated by dividing the total area by number of squares

[tex]Area = \frac{13.5ft^2}{24}[/tex]

[tex]Area = 0.5625\ ft^2[/tex]

Represent the dimension of individual square with L

Area of a square is:

[tex]Area = L * L[/tex]

This gives:

[tex]L * L = 0.5625[/tex]

[tex]L^2 = 0.5625[/tex]

Take square root of both sides

[tex]L = \sqrt{0.5625[/tex]

[tex]L = 0.75ft[/tex]

Hence, the dimension of each square is 0.75ft

Answer:

x=2

Step-by-step explanation:

2x+x+3=9

2x+x=9-3

3x=9-3

3x=6

x=2

Answer:

a) 2x + 3 = -x + 9

or, 3x = 6

# x = 2 since there is no y in the equation the value of y could be 0.

b) it intersects at ( 2, 0 )

Step-by-step explanation:

Answer:

5.5 quotient 5 and rest 1

But I would answer quotient is 5 and half

Step-by-step explanation:

11/3 ÷ 2/3 = 11/3 * 3/2 = 11/2= 5.5

So the quotient is 5 and rest is 1

Hope this helps, have a good day

Answer:

5 1/2

Step-by-step explanation:

11/3÷2/3

Applying the fractions formula for division,

=11/3×3/2

=33/6

Simplifying 33/6, the answer is

=5 1/2

Answer:

21

Step-by-step explanation:

Answer:

x = 2.825

Step-by-step explanation:

-4.3(6.3x + -4.18) = -58.56

-4.3(-4.18 + 6.3x) = -58.56

(-4.18 * -4.3 + 6.3x * -4.3) = -58.56

(17.974 + -27.09x) = -58.56

17.974 + -27.09x = -58.56

17.974 + -17.974 + -27.09x = -58.56 + -17.974

0.000 + -27.09x = -58.56 + -17.974

-27.09x = -58.56 + -17.974

-27.09x = -76.534

x = 2.825175341

Answer:

-5/36

Step-by-step explanation:

-1*5 = -5

6*6 = 36

-5/36

Answer:

x = m - z

Step-by-step explanation:

z = m - x       add x to both sides

z + x = m - x + x

z + x = m            subtract z from both sides

z - z + x = m - z

x = m - z

Answer:

-z + m = x

Step-by-step explanation:

z = m-x

subtract the m from both sides

z-m = -x

you can't have a negative x so multiply everything by -1

-1(z-m = -x)

-z + m = x

Answer:

25 percent

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

ndld

Answer:

the price of the pair of shoes are $57.60

Step-by-step explanation:

So you first need to find out what 10% is in $64 so your going to multiply 0.1 (10% in decimal form is 0.1 ) by 64 to get 10% of the original price.

64 * 0.1 = $6.40

so now we are going to subtract $6.40 from $64 for the sale price:

$64.00 - $6.40 = $57.60

so the sale price is $57.60

Answer:

a = b = 40°

Step-by-step explanation:

∠ a and 140° are adjacent and are supplementary , thus

a = 180° - 140° = 40°

a and b are alternate angles and are congruent, thus

b = a = 40°

Answer:

b=40 okkkkllllllkkkkkkkkkkkkkkkkkkkkkllllllkkkk

Answer:

Step-by-step explanation:

As per table we see the difference and pattern of decrease 1/2 times every 15 minutes:

Expected

Answer:

2y = x + 2

Step-by-step explanation:

Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;

From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:

[tex]m = \frac{dy}{dx} = \frac{1}{2}[/tex]

Joining the points gives a straight line, which means a constant gradient of ¹/₂

Use the line equation formula to get the function:

y - y₁ = m(x - x₁)

m = ¹/₂

x₁ = 0

y₁ = 1

y - 1 = ¹/₂.(x - 0)

y - 1 = ¹/₂.x

2y - 2 = x

2y = x + 2

Answer:

14

Step-by-step explanation:

If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!

Answer:

x=-6

Step-by-step explanation:

5x+2=6x+8

-5x     -5x

2=x+8

-8   -8

-6=x

Answer:

4

Step-by-step explanation:

Answer:

Like terms have to have the same variables and powers

Answer:

and powers

Step-by-step explanation:

Answer:d

Step-by-step explanation: tufryvztgv

Answer:

Graph is in the picture below

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

drdbbd

Answer:

A. because both variables (y and x) cancel each other out because they are equal. The answer to A is 0=6, which is clearly not true. All other choices have a solution that is possible, because at least 1 of the variables doesn't cancel itself out.

Answer:

a

Step-by-step explanation:

Answer:

676

Step-by-step explanation:

Divide the number of pencils by the number of boxes