Roy and Stefan went to a computer fair with the same amount of money. After Roy spend $850 on a notebook and Stefan spend $300 on a printer, Stefen had three times as much money left as Roy.How much money did each of them have at first?

[tex]\text{Given that,}\\\\f(x)= \dfrac{x+1}{x-1}\\\\\\f'(x)=\lim\limits_{h \to 0} \dfrac{f(x+h) - f(x) }{h}\\\\\\ ~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\left( \tfrac{x+h+1}{x+h-1}\right) - \tfrac{x+1}{x-1}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{(x+h+1)(x-1) - (x+1)(x+h-1)}{(x+h-1)(x-1)}}{h} \\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{x^2-x+hx-h+x-1 - x^2-xh+x-x-h+1}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~[/tex]

       [tex]~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{-2h}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{-2}{(x+h-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x+0-1)(x-1)}\\[/tex]

       [tex]\\\\~~~~~~~~=\dfrac{-2}{(x-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x-1)^2}[/tex]

Answer:

She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds

Answer:

x=6

Step-by-step explanation:

The first thing you should start with is distributing the 6 inside the parentheses, which would give us (12x - 66) + 15 = 21. Now we can add like terms on this side of the equation to get: 12x -51 = 21. Add the 51 to the right side to get 12x = 72, then divide both sides by 12 to get x = 72/12 or 6.

x=6

Hope this helps!

Marking this brainliest also helps me out too :)

Answer:

42.5

Step-by-step explanation:

(180-95)÷2=42.5

Answer:

1. 84.7

2. 24

3. 47.5

4. 57.5

Step-by-step explanation:

your welcome and mark as brainliest pls

Answer:

If

a

b

=

c

d

=

e

f

then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

1. If

a

b

=

c

d

=

e

f

, then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

2. If

x

b2-c2

=

y

c2-a2

=

z

a2-b2

, then prove that x+y+

Step-by-step explanation:

The required proportional of 7, 3, and 98 is  42. Option B is correct.

Given that,
The fourth proportional of 7,3 and 98 is to be determined.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
let the required proportional be x,
now,
7 / 3 = 98 /x
x = 98  * 3 / 7
x = 42

Thus, the required proportional of 7, 3, and 98 is  42. Option B is correct.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2

the piece-wise function is, -x - 5 when x ≠ -2

and when x = -2, the function's value is -2

what that means is when x = -4, the subfunction of -x - 5 is the one to use, because x = -4 is in that range

so f(-4) = -(-4) - 5 => f(-4) = -1.

so the function's graph look more or less like the one below, with a solid line going but with a gap at x = -2.

Step-by-step explanation:

x > 5, both terms are positive

x < - 5, both terms are negative

This is not clear

If x>5

Hence..

If x<-5 terms are negative

If x=-5

Answer:

[tex]y=\frac{1}{4}x-5[/tex]

Step-by-step explanation:

Write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5 ​

Slope-intercept form: y = mx + b

m = slope

b = y-intercept (when x = 0)

Ex:

y = 5x + 2

For our problem:

[tex]y=\frac{1}{4}x-5[/tex]

Hope this helps!

Answer:

the amount of space inside a shape composed of basic shapes put together.

Step-by-step explanation:

hope this helps.

Answer:

Option D

Step-by-step explanation:

[tex]6\dfrac{3}{5}*\dfrac{5}{8}=\dfrac{5}{8}*6\dfrac{3}{5}[/tex]

Poperty : Commutative property of multiplication.

When two numberes are multiplied, changing the order of numbers  will not change the result.

Two hemispheres will be equal to a spheres, hence the volume of 10 hemispheres is 266.581 cubic inches

Given Data

Let us find the volume of sphere

Volume = 4/3 *πr^3

Volume = 4/3*3.124* 4^3

Volume = 4/3*3.124*64

Volume =266.581 cubic inches

Learn more about hemispheres here:

https://brainly.com/question/25641436

Answer:

Domain= {4,p,3,7}

Range= {p,0,3,m}

Step-by-step explanation:

⇒Domain: is the set of the first number in every pair.

⇒Range: is the set of the second number in every pair

TO FIND THE DOMAIN: S= {(4,p),(p,0),(3,3),(7,m)}

so Domain= {4,p,3,7}

TO FIND THE RANGE: S= {(4,p),(p,0),(3,3),(7,m)}

so Range= {p,0,3,m}

Hope this helps :)

Answer:

Frequency is total number of complete cycle, made in a unit time.

Period is the time taken to complete a cycle.

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \bf \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

[distance between any successive Crest or trough]

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \bf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Answer:

14

Step-by-step explanation:

Hope it helps

Answer: 12 1/28

Step-by-step explanation:

Add whole numbers. Solve fractions by finding the LCD.

Answer:

using bodmas.

6-33=-27.

430+26=456.

456-27=429

Answer: I dont know if im right for sure but the answer should be 4

Step-by-step explanation

8 goes into 2 4 times (8 divided by 2 = 4)

Each child ate 2 pieces (4-2=2)

so therefore for it to be 2 pieces left over there were 4 kids I think.

Answer:

11

Step-by-step explanation:

So each pizza has 8 equal slices but we don't know the amount pizzas but we can find it by doing this ⬇️

1 pizza= 8 slices

3 pizzas = x

you cross multiply it and it will end up as 3×8= 24 slices.

now each kid ate 2 pieces and there was a leftover of 2

therefore, 24-2= 22 pieces divided 2 is 11

or; 3×8=24-2=22÷2=11

Answer:

D. d-0.29

Step-by-step explanation:

29÷(0.29)=100

29÷0.29=100

They both equal 100 meaning that D is the answer.

Answer:

about 49.3 inches

Step-by-step explanation:

[tex]42 \times {1.055}^{3} = 49.318[/tex]

Answer:

thats only the answer <3

Answer:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]

Step-by-step explanation:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]

                                                [tex]= -3x+1-7+12x[/tex]

                                                [tex]=9x - 6[/tex]

The best way to describe the central tendency of residential real estate prices in Westwood is mean.

A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode

Mean is the average of a set of numbers.

Mean = sum of the numbers / total number

To learn more about mean, please check: https://brainly.com/question/25842202

Answer:

The answer is

→ A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12

Step-by-step explanation:

Hope this helped! :^)

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- ✨7272033Alt✨

Submitted on 4/16/2022 at 5:38 PM

(To avoid plagarism, by users whom decide to copy.)