please help me im literally crying help if I fail i give up i can't.​

Answer:

Below.

Step-by-step explanation:

Prove that if

a^x = b^y = (ab)^(xy)  then x + y = 1.

From the second equation:  

y = 1 - x

So we have:

a^x = b^y = b^(1-x)  

Taking logs:

x ln a = (1-x)ln b

x ln a + x ln b = ln b

x = ln b / ( ln a + ln b)

x = ln b / ln ab.

This is true if x + y = 1.

Now consider b^y = (ab)^(xy):

b^(1 - x) = (ab)^(x(1- x)

ln b - x ln b = x(1 - x)ln ab

ln b - x ln b = x ln ab - x^2 ln ab

Now we substitute for x = ln b / ln ab in this expression.

If left side = right side then we have proved this identity and therefore the original one.

Left side =  ln b - (ln b / ln ab) * ln b =  ln b - (ln b)^2 / ln ab.

Right side = (ln b / ln ab) * ln ab - [(ln b)^2 / (ln ab)^2] * ln ab

=    ln b - (ln b)^2 / ln ab.

Left side = right side so this identity is true, and so the original one

( x + y = 1) is true also.

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 5

f(x) = 15

Step 2: Solve for x

Answer:

UQ = 185

Step-by-step explanation:

the median separates the data set into the lower quartile and upper quartile

The median of this data set is 151

The lower quartile is the median of the lowest five values, or 132

The upper quartile is the median of the highest five values, or 185

The upper quartile score for highest half of the score is 185.

A median is the center value of a given list of observations when arranged in an order. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

For the given situation,

Xavier's bowling scores: 132, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149.

Arrange this scores in the ascending order to find the median.

⇒ [tex]112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200[/tex].

There are totally 11 scores.

So the median is middle most number, that is 5th score in the list.

The median is [tex]151[/tex].

The scores after 151 are highest half scores. Now there are five scores.

Upper quartile scores list are [tex]163,172,185,190,200[/tex].

Thus, the middle most score [tex]185[/tex] is the upper quartile score.

Hence we can conclude that the upper quartile score for highest half of the score is 185.

Learn more about median here

https://brainly.com/question/23444910

#SPJ2

Answer: $6.45

Step-by-step explanation:

Take the total cost of 3 cans of orange juice

$2.15

Now multiply $2.15 by 3

$2.15x3

You will get

$6.45

Answer:

3 : $2.15

9 : ? (more)

9/3 × $2.15 = $6.45

Answer:

14/29. reduced form............

Answer:

Answer:

area of parllelogram=base×height=(4+8)×7=12×7=

84m²

Answer:

5

Step-by-step explanation:

use the distributive property

6 * 1/2 = 3

6 * 1/3 = 2

3 + 2 = 5

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!

-Lil G

Answer:

1/4, 3/5, 8/10

Step-by-step explanation:

3/5 is greater than 1/4

(2/4 is equal to 2.5/5---that should give you a visual picture why)  

8/10 is greater than 3/5

3/5 multipled by 2 is 6/10

so, 6/10<8/10

Answer:

1/4 then 3/5 then 8/10

Step-by-step explanation:

i did this and got a 100%

Answer:

[tex]4x+6[/tex] units

Step-by-step explanation:

Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms

1) To solve this problem, you need to understand the perimeter formula, and that is:

--> [tex]P = 2(L+W)[/tex]

P = Perimeter

L = Length

W = Width

2) Based on that, we are given that:

[tex]L = x[/tex] (since the length is x)

[tex]W = x+3[/tex] (since the width is x+3)

3) After that, we substitute in the values:

[tex]P = 2(L+W)[/tex]

[tex]P = 2(x+(x+3))[/tex]

[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)

so: [tex]P=2(2x+3)[/tex]

Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]

get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]

[tex]2(2x) = 4x[/tex]

[tex]2(3) = 6[/tex]

So: [tex]P = 4x+6[/tex]

Hope this helps and have a nice day!! :) :]

The length of segment A'B' from the triangle A'B'C' is 6 units.

Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.

In the given triangle ABC, AB=3 units

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

2=Dimensions of the new shape/3

Dimensions of the new shape=6 units

Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

Answer:

Step-by-step explanation:

Simplifying

1.4x + 3.5y = 0

Solving

1.4x + 3.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.5y' to each side of the equation.

1.4x + 3.5y + -3.5y = 0 + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0

1.4x + 0.0 = 0 + -3.5y

1.4x = 0 + -3.5y

Remove the zero:

1.4x = -3.5y

Divide each side by '1.4'.

x = -2.5y

Simplifying

x = -2.5y

Answer: 15%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

each book costs $34

Step-by-step explanation:

assuming that all the books cost the same,

253-15=238

238/7=34

Answer: Each book cost $34.

Step-by-step explanation:

First subtract 253-15.

253-15=238.

Then divide 238/7.

238/7=34

Hope this helps :)

Answer:

$234

Step-by-step explanation:

Create a proportion where x is the amount he gets working 36 hours

[tex]\frac{312}{48}[/tex] = [tex]\frac{x}{36}[/tex]

Cross multiply and solve for x

48x = 11232

x = 234

So, when he works 36 hours a week, he will get paid $234

Answer:

assuming he is paid hourly?

312÷48= 6.50/hour

so, 6.50÷36= $234

Answer:  10 feet

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)

=-(x+3)^2+4

Range: all numbers ≤4

Answer: this my graph

Step-by-step explanation:

Answer:

Last one

Step-by-step explanation:

Answer:Analyze the results of the correlation using the given residual plot.

Residual

Step-by-step explanation:

Answer:

I think it would be the first choice however I may be wrong

Step-by-step explanation:

Answer:

1440ft^3

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

i already did it

Answer:

-3

Step-by-step explanation:

-4x-16=2x+2

-4x-2x= 16+2

-6x = 18

x = 18/-6 = -3

I hope im right!!

Answer:

Step-by-step explanation:

-4x-16=2x+2

-4x-16+16=2x+2+16

-4x=2x+18

-4x-2x=2x+18-2x

-6x=18

{-6x over {-6} = {18} over {-6}

simplify

x=-3

Answer:

x = 2/3

Step-by-step explanation:

Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:

[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]

Answer:

600

Step-by-step explanation:

Consider ABC and ACD as two triangles. And AC as a base to both of them

so,

AC = AO + OC

= 15 + 25

= 40

Now the area of ABC =

[tex]\frac{1}{2}\times AC\times OB\\= \frac{1}{2}\times 40 \times 10\\= 200[/tex]

In the same way, the area of ACD =

[tex]\frac{1}{2}\times AC\times OD\\= \frac{1}{2}\times 40 \times 20\\= 400[/tex]

Both added together 400 + 200 = 600

Answer:

57 degress

Step-by-step explanation:

alternate angles theorem

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".