Answers
Answer:
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5} = \frac{3(3y + 2x)}{2x(y+5)}[/tex] If [tex]x \ne 0 \ \ or\ y \ne 0[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5}[/tex]
Required
Solve
First, we change / to *
[tex]\frac{x^2 - 9}{y^2 - 25} * \frac{3y^2 - 15y}{2x^2 - 6x} + \frac{3 - 1.5y}{y + 5}[/tex]
Apply difference of two squares
[tex]\frac{(x- 3)(x+3)}{(y - 5)(y+5)} * \frac{3y^2 - 15y}{2x^2 - 6x} + \frac{3 - 1.5y}{y + 5}[/tex]
Factorize:
[tex]\frac{(x- 3)(x+3)}{(y - 5)(y+5)} * \frac{3y(y - 5)}{2x(x - 3)} + \frac{3 - 1.5y}{y + 5}[/tex]
x - 3 cancels out:
[tex]\frac{(x+3)}{(y - 5)(y+5)} * \frac{3y(y - 5)}{2x} + \frac{3 - 1.5y}{y + 5}[/tex]
y - 5 cancels out
[tex]\frac{x+3}{y+5} * \frac{3y}{2x} + \frac{3 - 1.5y}{y + 5}[/tex]
[tex]\frac{3y(x+3)}{2x(y+5)} + \frac{3 - 1.5y}{y + 5}[/tex]
Take L.C.M
[tex]\frac{3y(x+3) + 2x(3 - 1.5y)}{2x(y+5)}[/tex]
Open brackets
[tex]\frac{3xy+9y + 6x - 3xy}{2x(y+5)}[/tex]
Collect Like Terms
[tex]\frac{3xy- 3xy+9y + 6x }{2x(y+5)}[/tex]
[tex]\frac{9y + 6x}{2x(y+5)}[/tex]
Factorize:
[tex]\frac{3(3y + 2x)}{2x(y+5)}[/tex]
Hence:
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5} = \frac{3(3y + 2x)}{2x(y+5)}[/tex] If [tex]x \ne 0 \ \ or\ y \ne 0[/tex]
Related Questions
Kenny’s height is 1 meter 75 centimeters. How tall is Kenny in millimeters? REMEMBER: 1 meter = 100 centimeters : 1 centimeter = 10 millimeters
Answers
Answer:
Kenny is 1750 millimeters!
Really hope this helps!
IN YOUR OWN WORDS How can you use function notation to represent a function? How are standard notation and function notation similar?
Standard Notation:
y = 2x + 5
Function Notation:
f ( x ) = 2x + 5
Please help, due tomorrow
Answers
Answer:
Step-by-step explanation:
N^2-10n+9
The function notation to represent a function is f(x) and standard notation and function notation are similar because y = f ( x).
What is function notation?Function notation is a way in which a function can be represented using symbols and signs. Function notation is a simpler method of describing a function without a lengthy written explanation. The most frequently used function notation is f(x) which is read as “f” of “x”. In this case, the letter x, placed within the parentheses and the entire symbol f(x), stand for the domain set and range set respectively.
What is domain?The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
According to the question
Standard Notation:
y = 2x + 5
Function Notation:
f ( x ) = 2x + 5
Function notation can be used to represent the function as it represent function using symbols and signs .
An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”;
that is, y = f ( x).
This last expression is read as “ y equals f of x” and means that y is a function of x.
Standard notation and function notation are similar because
An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”;
that is, y = f ( x).
Hence, function notation to represent a function is f(x) and standard notation and function notation are similar because y = f ( x).
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That last one is 1 over three
Answers
Answer:
1/2
Step-by-step explanation:
The radius of a circle is 2.6 in. Find the circumference {to the nearest tenth}to the nearest tenth.
Answers
Answer:
The answer would be 16 I think. 16
Answer:
16.3 in
Step-by-step explanation:
The equation for circumference of a circle is 2[tex]\pi \\[/tex]r
r is the radius
Plug the given value for radius (in this problem that is 2.6) into the equation and you get the circumference of the circle.
2[tex]\pi \\[/tex](2.6)=16.3
may someone answer this? thanks.
A sandbox is filled with 20.25 cubic meters of sand. If the sandbox is 3 meters long and 1.5 meters wide, what is the depth of the sandbox?
Answers
Answer:1.90
Step-by-step explanation:
which expression is equivalent to 15c+20
ill give brainliest <3
Answers
Answer:
i think its 15 (c+20 if not have a nice day
Megan ordered her favorite pizza with 12 slices.
a) How many slices is 100%? Show your answer on the double number line.
b) She ate 75% of the whole pizza. How many pizza slices did she eat?
Answers
Answer:
A maybe???????
Step-by-step explanation:
Answer:
a.) 12 slices b.) 9 slices
Step-by-step explanation:
a.) so 100% would mean all of the pizza therefore being 100%
b.) If you take 12(the number of slices) and divide it by .75(the percent she ate) then you would get 9 slices.
Estimate each number as a single digit times a power of ten . Drag expressions to complete the table
Answers
Answer:
Concept: Number Analaysis
The first option goes back 9 spaces hence [tex]4.3 \times {10}^{ - 9} [/tex]Second one you to forward 10 spaces hence [tex]4.3 \times 10 ^{10} [/tex]Using that logic solve the rest!Answer:
Number: 0.0000000043
Estimate using powers of 10: 4 x [tex]10^{-9}[/tex]
Number: 43,560,000,000
Estimate using powers of 10: 4 x [tex]10^{10}[/tex]
Number: 56,234,567
Estimate using powers of 10: 6 x [tex]10^{7}[/tex]
Number: 0.000023456
Estimate using powers of 10: 2 x [tex]10^{-5}[/tex]
Step-by-step explanation:
CAN ANYONE HELP ME PLEASE??!!!!
Answers
0.08 < 0.6 < 7/8 < 95% < 108% < 1 1/4
On the number line, it would be least to greatest.
I hope this helped! +*♡
Answer:
easy its
Least to Greatest:
0.08 < 0.6 < 7/8 < 95% < 108% < 1 1/4
On the number line, it would be least to greatest.
(NO I DID NOT COPY THE OTHER PERSON IK THIS BC I DID THIS B4 AND ITS COMMON SENSE)
Step-by-step explanation:
WILL GIVE YOU BRAINLIEST
Answers
Answer: 4/6, Or C
Step-by-step explanation: You cant split the lines chart into 6 peices, and count from the start to get 4. Therefore 4/6 :) (aka 2/3)
Select the step you would choose to solve the following equation. X+4=10
Answers
Answer:
6
Step-by-step explanation:
Answer:
subtract 4 from both sides
Step-by-step explanation:
X+4=10
-4 -4
x=6
pls help my teach is so mad
Solve the following equation.
5x=102.5
x = ______
Answers
Answer:
x= 20.5 best way to find the answer is to divide 5 by 102.5
Giving braiinliest to best answer anything helps im really tired
Answers
3600 + 10000 = x^2
x= 116.61
Compare 3 x 10^-25 and 4.5 x 10^-24, which number is the greatest. Explain your reasoning for the answer you choose.
Answers
Answer:
4.5 x 10^-24
Step-by-step explanation:
because 3 x 10^-25 is 0000000000000000000000000.3
and 4.5 x 10^-24 is 0000000000000000000000004.5 its just greater
The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+8y. Which corner point of the shaded region will maximize the profit?
Answers
Answer: (10,30)
Step-by-step explanation:
i got it wrong and it showed me the right answer
Option C yields the highest profit ($255).
We have given that Options
(0, 35)
(10, 30)
(15, 25)
(20, 15)
(C) (15,25)
We have to determine the corner point of the shaded region that will maximize the profit.
The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+6y.
Option A
When x=0 and y=35
p(x,y)=7(0)+6(35)
p(x,y)=210
Option B
When x=10 and y=30
p(x,y)=7(10)+6(30)
p(x,y)=250
Option C
When x=15 and y=25
p(x,y)=7(15)+6(25)
p(x,y)=$255
Option D
When x=20 and y=15
p(x,y)=7(20)+6(15)
p(x,y)=$230
We observe that the point (15, 25) in Option C yields the highest profit ($255).
Therefore, it is the point that maximizes profit.
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Hey Im stuck on this question, can someone help?
Answers
Answer:3
Step-by-step explanation:
Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C? O (x,y) → (x-3, y + 2) O (x,y) → (x + 2, Y-3) O (x,y) → (2x,-3y) O (x,y) → (-3x, 2y) CLEAR ALL PREVIOUS 0 1 Oz 03 04 05 06 07 8
Answers
Answer:
(x, y) --> (x + 2, y - 3)
Step-by-step explanation:
2 is positive and 3 in negative
The rule describes the translation that was applied to triangle ABC to create triangle A'B'C is (x, y) → (x+2, y-3). Therefore, option B is the correct answer.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
Given that, triangle ABC was translated 2 units to the right and 3 units down.
Translation rules:
When the shape is moved towards the right by k units, then replace x with x + k.
When the shape is moved down by k units, then replace y with y - k.
Here, the rule is (x, y) → (x+2, y-3)
Therefore, option B is the correct answer.
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Find the value of y for the given value of x.
y=7x;x=−5
Find the value of y for the given value of x.
y=x2+9;x=−12
Answers
Y = -1
I put the work in the picture below!
(Hint: just substitute the x for its number and do simple adding and subtracting)
me need help the 5 is not a part of the question
Answers
Answer:
-12a, 8B, 12a
Step-by-step explanation:
hope it helps
A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Choose the equation that represents the situation.
A x+16.9=12.4x plus 16 point 9 is equal to 12 point 4
B x−16.9=12.4x minus 16 point 9 is equal to 12 point 4
C 16.9x=12.416 point 9 x is equal to 12 point 4
D x16.9=12.4
Answers
Answer:
B
29.3 feet
Step-by-step explanation:
All you need to do is add the two values together which means to do that you have to subtract something to get the other number.
Find g: 3g + 15 − 12 + 3 − 2g + 4 = 1
Group of answer choices
33
-33
-9
9
Answers
Answer:Group of answer choices
Step-by-step explanation:
What you first want to do is like and unlike terms so basically liketerms are terms withthe same sign and unlike terms are terms with diferent signs for instinse 3g and 2g are like terms so -33 and -9 and -9 and 9 are unlike terms so you just have to find the like and unlike terms to answer the question!
Answer: -9
Step-by-step explanation: Let's solve your equation step-by-step.
3g+15−12+3−2g+4=1
Step 1: Simplify both sides of the equation.
3g+15−12+3−2g+4=1
3g+15+−12+3+−2g+4=1
(3g+−2g)+(15+−12+3+4)=1 (Combine Like Terms)
g+10=1
g+10=1
Step 2: Subtract 10 from both sides.
g+10−10=1−10
g=−9
So the answer is g=-9
Hope this help
The runner’s time to complete his 3rd marathon was 10% less than the time to complete his first marathon. If he finished his 3rd race in 279 minutes, how long did he take to run his first, original marathon?
Answers
10% of 279 is 83.7
83.7 + 279 = 362.7
sorry if i’m wrong
Answer:
27.9
Step-by-step explanation:
279 divided by 10, when you get your answer than that should be it.
Hope this helped, friend
Please help. Will mark brainly
Answers
Answer:
1. 50%
2. 200%
Step-by-step explanation:
this is only for the first picture!
plz i need help i need work too. ALL work
Answers
Show What You Know: One-Step Equations
3 of 53 of 5 Items
Item 3
POSSIBLE POINTS: 1
Solve for x.
−34x =−6
A -8-8
B 88
C 4124 and 1 half
D −412
Answers
Plz help i will give brainliest
Answers
Janice has $600 in an account in which she has to maintain a minimum balance of $240. She withdraws $40 each week for food and clothing. How many weeks can she make the withdrawals without making any deposits?
Answers
Answer:
Step-by-step explanation:
if janice has to has 240 in the bank
600-240=360 she can spend
360/40=9 weeks
Answer:
Hope this helps :)
Step-by-step explanation:
600-40x ≥ 240
−40x≥240−600
−40x≥−360
x≤-360/-40
x≤360/40
x≤9
9 weeks
Please help!!! I will mark brainlist!
Answers
Answer:
answer c
Step-by-step explanation:
a = 113
b = ?
b + 113 = 180
b = 180 - 113
b = 67
hope it helps!
plz mark as brainliest
Help, please.
A mechanic charges $45 to inspect your heater, plus $80 per hour to work on it. You owe the mechanic a total of $385. Write and solve an equation to find the amount of time h (in hours) the mechanic works on your heater.
An equation is:______________=385
The mechanic works on your heater for: ____ hours
Answers
Answer:
the answer is 4 1/4 hours
Step-by-step explanation:
45+(80x2)=205+160=365
80_4=20+365=385
80 divided by 385 (or the other way around i forget)
About 4 or 5 hours
Find the area of the following figure. Explain or show how you got your answer.
Answers
Answer:
length*width for rectangle and base*height divide by 2
Step-by-step explanation:
Answer:
hi kase myrbng qwert yuiop asdfg hjkl
Step-by-step explanation:
mill nill bill vill cill xill zill aillsilldill
