help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing
Answers
Answer:
x= 5 or x= -5
Step-by-step explanation:
[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]
Cross multiply:
(x +4)(x -4)= 3(3)
Expand:
[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
x² -4²= 9
x² -16= 9
+16 on both sides:
x²= 9 +16
x²= 25
Square root both sides:
[tex]x = ± \sqrt{25} [/tex]
x= 5 or x= -5
Given that:
[(x+4)/3] = [3/(x-4)]
We know that
(a/b) = (c/d)
⇛a(d) = b(c)
Now,
By using cross multiplying fraction, we get
⇛x+4(x-4) = 3(3)
⇛x(x-4) + 4(x-4) = 9
⇛x² - 4x + 4x - 16 = 9
⇛x² - 0 -16 = 9
⇛x² = 9+16
⇛x² = 25
⇛x = √(25)
⇛x = ±√(5*5)
⇛x = ±5 = +5 or -5 Ans.
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Related Questions
someone pleaseeee answer!!!
Answers
Answer:
6.633
Step-by-step explanation:
on a triangle with angle measures of 30, 60, 90, the shortest side will be 'x', second longest will be 'x times square root of 3' and hypotenuse will be '2x'.
in this problem, x is the hypotenuse and x= square root of 11. sorry my explanation sucks. basically, 2× square root 11 = 6.633. again. sorry i made no sense.
Is the sum of 5x⁴ + x³ and 2x³ + x² a trinomial expression. If it is true, justify your answer.
Answers
Answer:
The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.
Step-by-step explanation:
(5x⁴ + x³) + (2x³ + x²) = 5x⁴ + 3x³ + x²
The sum of 5x⁴ + x³ and 2x³ + x² is a trinomial expression that is 5x⁴ + 3x³ + x²
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.
We are given the expression as;
5x⁴ + x³ and 2x³ + x²
We need to find of the sum of the expression as;
(5x⁴ + x³) + (2x³ + x²)
= 5x⁴ + 3x³ + x²
The sum of 5x⁴ + x³ and 2x³ + x² is 5x⁴ + 3x³ + x²
To know more about an expression follow;
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#SPJ2
Approximately what portion of the box is shaded blue?
Answers
Answer:
1/2 approximately 1/2......
Answer: C. (1/2)
Step-by-step explanation: You can see they split the box into 2 halves and one half is shaded so 1/2 is shaded you can also solve by 2/2 - 1/2 = 1/2
30=2y+16 simplify your answer as much as possible
Answers
Answer:
y=7
Step-by-step explanation:
What is with simplifying
-3p + 6p
Answers
Answer:
-3p+6p=3p
Step-by-step explanation:
It's just like saying -3+6,
but just with the p.
-3+6=3
therefore the answer is 3p
A line with a slope of 10 passes through the point (0,4). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=10x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=10(x-0)
y-4=10(x)
y-4=10x
y=10x+4
??????help please thanks
Answers
Answer:
The choice 66
Step-by-step explanation:
[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]
For shipping the retailer charges a $4.95 flat fee or 5.75% of the total purchase, whichever is greater. If Lucia's total purchase is $78.99, how much shipping will she pay? PLEASE ANSWER ASAP
Answers
EXPLANATION:
So it’s asking us to find out if $4.95 dollars is more than 5.75% of 78.99.
So we need to find 5,75% of 78.99
To find percentage turn the percent into a decimal.
5.75% become 0.575
Now we have 0.575 x 78.99
That is 45.41925
Move the decimal over again and you get 4.541925
Round to the nearest hundredth to get
$4.54
$4.54 < $4.95
So the answer is &4.95
multiply (2x+3y)(x-y)
Answers
Answer:
2x^2 +xy - 3y^2
Step-by-step explanation:
2x(x-y) +3y(x-y)
2x^2+xy - 3y^2
is a persons weight a function of their height why
Answers
Answer:
nope
Step-by-step explanation:
it's not because let's say for example we have two students who weigh 130 pounds on of them could just be very wide but the other one could be really tall which results in his weight.
Although in some cases if both people are athletes and you say that they are not wide then it could give you a not exact estimate of how tall he is.
Sort the sequences according to whether they are arithmetic, geometric, or neither.
Answers
Answer:
arithmeticneithergeometricarithmeticgeometricStep-by-step explanation:
Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.
The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.
__
98.3, 94.1, ... -- arithmetic (common difference = -4.2)
1, 0, -1, 0, ... -- neither
1.75, 3.5, ... -- geometric (common ratio = 2)
-12, -10.8, ... -- arithmetic (common difference = -1.2)
-1, 1, ... -- geometric (common ratio = -1)
Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...) (-12,-10.8, -9.6,-8.4)
Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)
Neither (1,0,-1,0,...)
Step-by-step explanation:
I guarantee these are correct.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )
Answers
B = (-15,10)
correct?````````````````````````````
Answers
Wiebe Trucking. Inc. is planning a new warehouse to serve the west. Denver, Santa Fe, and Salt Lake City are under consideration. For each location, annual fixed costs (rent, equipment. and Insurance) and average variable costs per shipment (labor, transportation and utilities) are listed in the following table. Sales projection is range from 550,000 to 600,000 shipments per year.
a. Plot the total cost curves for all the locations on a single graph.
b. Which city provides the lowest overall costs?
Answers
The total cost curve shows the cost of total shipment from the different
cities.
a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.b. The city that provides the lowest overall cost is; Salt Lake City.Reasons:
The given parameters are;
The number of shipment per = From 550,000 to 600,000 per year
The given table is presented as follows;
[tex]\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right][/tex]
a. Required:
The plot total cost curve for the locations on a single graph.
Solution:
Please find attached the graph of the total cost curves created with MS Excelb. Required:
The city that provides the lowest overall cost.
Solution:
The two cities with the lowest overall costs are Denver and Salt Lake City.
From the total cost curve, the area under the curves are;Area under the curve for Denver;
(7557500 + 7790000) ÷ 2 × 50,000 = 383687500000
Area under the curve for Salt Lake City
(7487500 + 7850000) ÷ 2 × 50,000 = 383437500000
Therefore;
Salt Lake City provides the lowest overall costs.Learn more about total cost curves here:
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Hi guys can u guys help me add 322 + 12
Answers
Answer:
334 is the answer
Step-by-step explanation:
you add them together
Answer:
334 is the right answer
Step-by-step explanation:
please mark me brainliest
Alexa spins a spinner that is divided into 6 equally sections: 2 red, 1 green, and 3 blue. What is the probability that Alexa spins a red or green?
Answers
Answer:
probability = 1/2 or 50%
Step-by-step explanation:
number of red + number of green = 2 + 1 = 3
Probability of landing on a red or green = 3/6 = 1/2
Red
Step-by-step explanation:Red
Need help with a math problem If doing 5 stars and a good rating
Answers
Answer:
16:1
Step-by-step explanation:
Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.
The amount of money charged to borrow money, expressed as a percentage,
is called the
A. collateral
B. interest rate
O C. principal
D. loan term
Answers
Answer:
Interest rate
Step-by-step explanation:
The amount owed is called the principal and the price of borrowing money is called interest. Some people spend a day's pay (or more) per week repaying the interest and principal owed on car loans, credit card bills, student loans, and other consumer debts.
hey I really need help on this one please help me thanks
Answers
Answer:
y = -10/3x -23
Step-by-step explanation:
Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.
We are trying to find m.
Slope-intercept formula:
m = y2-y1/x2-x1
Now let's identify our points, (-9,7) and (-6,-3).
= -3-7/-6+9
= -10/3
Point-slope formula:
y-y1 = m(x-x1)
Now let's identify our points, (-9,7) and (-6,-3).
-3 - 7 = m(-6 + 9)
-10 = 3m
-10/3 = m
Now, we have to use slope-intercept formula to find our b.
y = mx+b
y = -10/3x + b
Let's substitute one of the points, any given points work!
7 = -10/3(-9) + b
7 = 30 + b
-23 = b
Let's put it back in.
y = -10/3x -23
I'm giving out a lot of points for this one!
Answers
Answer:
Step-by-step explanation:
AVERAGE rate of change looks only at the endpoints
m = Δy/Δx
m = (1.2 x 10⁶ - 0.35 x 10⁶) / (2640 - 1955)
m = 0.35 x 10⁶/ 685
m = 1241 beings / year
Simplify. −3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
Answers
Answer: -29.9x+37.6
Step by step answer: Use PEMDAS rule
−3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
Use the distrubitive property
-6.3x+20.16+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
-6.3x+20.96−5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
Reorder/group x's and whole numbers
-6.3x-5.5x-6.3x-5.5x-6.3x+20.96+20.16-5.92-19.36+20.96
-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92-19.36+20.96
-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92+1.6
-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-3.52
-11.8x-6.3x-5.5x-6.3x+41.12-3.52
-18.1-5.5x-6.3x+41.12-3.52
-23.6x-6.3x+41.12-3.52
-29.9x+41.12-3.52
-29.9x+37.6
Find the length x…..
Answers
Answer:
x = 4
Step-by-step explanation:
6 : 4.5 = 4 : 3
x : 3 = 4: 3
x= 4
What's the length of QR?
Answers
Answer:
using the pithagerum therom
a² + b² = c²
this formula is to find the side of your triangle with 2 sides already known
the answer is A) 17.7
On a number line, where would
4/5
be located? Choose all answers that make
a true statement.
Answers
3+1= 4 so it’s like 1,2 so
It’s the right of 3/5
Help, please
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3:negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five
Answers
Answer:
The first step.
Step-by-step explanation:
Sam saved $40 each month for 3 years. Then, he spent 65% of his savings on a cruise. How much of his savings was left? A. $420 B. $588 C. $1,092 D. $1,260
Answers
Answer:
$588 was left
Step-by-step explanation:
Since it was $40 for 3.5 years, and there are 12 months in a year, we do: (3*12+6)*40=168065%= 13/2013/20 * 1680Sam paid $10921680 - 1092 = 588Amanda went to the Farmer’s market with her family. She had $5.00 to spend and decided she wanted to spend it on peaches. Each peach cost 68 cents. How many peaches could she buy ?
Answers
solve for x where xe(0,2pi). state exact answers.
b)
[tex] \frac{1}{ \sqrt{3} } \sin(2x) + \cos(x) = 0[/tex]
e)
[tex]3 \cos(x) + \tan(x) = 0[/tex]
Note: for question e, get this equation to a point ready for factoring or to use the quadratic formula, then stop. make sure its in standard form.
Answers
Answer:
that's the correct answer
I need help with math
Answers
51+60= 111 Answers fast rights
Lisa's living room is 21 feet wide. If the length is 4 feet less than twice the width, what is the area of her living room?
square feet
Answers
Answer:
21+21=42
42-4=38
21x38=798sq ft
Step-by-step explanation: