Given info:- 5/(x-3) - 4/(x+4) = 1/x. And here the problem has asked to find out the value of x ?
Let's solve!!
Given equation is 5/(x-3) - 4/(x+4) = 1/x
⇛ [5(x+4) - 4(x-3)]/(x-3)(x+4) = 1/x
⇛ (5x+20-4x+12)/(x-3)(x+4) = 1/x
⇛ (x+32)/(x-3)(x+4) = 1/x
On applying cross multiplication then
⇛ x(x+32) = (x-3)(x+4)
⇛ x²+32x = x(x+4)-3(x+4)
⇛ x²+32x = x²+4x-3x-12
⇛ x²+32x = x²+x-12
⇛ x²+32x-x²-x = -12
⇛ (x²-x²)+(32x-x) = -12
⇛ 0+31x = -12
⇛ 31x = -12
⇛ x = -12/31
∴ x = -12/31
The value of x for the given problem -12/31
VERIFICATION:
Check
If x = -12/31 then LHS of the equation is
5/(x-3) - 4/(x+4)
⇛ 5/[(-12/31)-3] -4/[(-12/31)+4]
⇛ 5/[(-12-93)/31] -4/[(-12+124)/31]
⇛ 5/(-105/31) - 4/(112)/31
⇛ (5×-31)/105 - (4×31)/112
⇛ (-115/105)-(124/112)
⇛ (-31/21) - (31/28)
⇛ (-31)[(1/21)+(1/28)]
⇛ (-31)(21+28)/(21×28)
⇛ (-31×49)/(21×28)
⇛ (-31×7)/(21×4)
⇛-31/12
And RHS = 1/x
⇛ 1/(-12/31)
⇛ -31/12
⇛ LHS = RHS is true for x = -31/12
20 divided by 5 x 4
btbttb
Answer:
16
Step-by-step explanation:
Answer:
20÷5 x 4= 16
Step-by-step explanation:
Step 1: 20÷5= 4
Step 2: 4 x 4= 16
Hope this helped,
have a nice day!
can someone please help me with this? it's a bit confusing for me
When x² is divided by (x – 3), the quotient is 12 and the remainder is 1. Find the
possible values of x
Answer:
Posible answers can be x=7 or x=5
Step-by-step explanation:
What is the equation of the line
Answer:
3.4
Step-by-step explanation:
the answer would be 3.4
Answer:
Your moving (2, -1)
Step-by-step explanation:
You start at (0, -3) then move to (2, -2)
So your moving (2, -1)
10000% + 10% X 50% = ?
Answer:
100.05
Step-by-step explanation: thanks
Guys pls help me!!!!!
For each parallelogram below, find the values of the missing sides or
angles.
Answer:
m ∠DCA
m ∠CAD = 56
m ∠CBA = 83°
Step-by-step explanation:
A parallelogram is a polygon with two pairs of parallel lines
m ∠CDA = m ∠CBA = 83° Opposite angles in a parallelogram are =
m ∠CAD = m ∠ACB = 56° CB ║ DA and alternating interior angle are =
m ∠DCA = 180° The sum of the angles in a triangle = 180°
m ∠ADC + m ∠CAD + m ∠DCA = 180 Parts of the triangle
83° + 56° + m ∠DCA = 180 Substitution
139° + m ∠DCA = 180°
m ∠DCA = 180° - 139°
m ∠DCA = 41°
Which statement about the following equation is true. 2x^2 -9+2=-1
Step-by-step explanation:
2x² - 9x + 2 = -1
2x² - 9x + 3 = 0
D = b² - 4ac
D = (-9)² - 4.2.3
D = 81 - 24
D = 57
D > 0 , so there are two real roots
Option → C
_________
[tex] \: [/tex]
2x² - 9x + 2 = -1
2x² - 9x + 2 + 1 = 0
2x² - 9x + 3 = 0
a = 2 b = -9 c = 3Soo :
D = b² - 4ac
D = (-9)² - 4(2)(3)
D = 81 - 4(6)
D = 81 - 24
D = 57
Option (C.)
Please help me solve this problem
Answer:
D) Dilation
Step-by-step explanation:
Plz HELP Directions: Write your own recipe for trail mix with a catchy name that will make
people want to eat it. You can also create a slogan, logo, or package design for the
mix. Your recipe must meet the following contest guidelines:
1. It must have at least five different ingredients.
2. The amount of each ingredient should be represented by a different mixed
number.
3. The recipe must make exactly 10 cups of trail mix.
After you write your recipe, complete the following for your contest entry:
• Prove that your recipe makes exactly 10 cups.
• Explain the most efficient method for measuring each ingredient using only
the following two measuring cups:
1
3
cup and
1
4
cup. You can use one or
both of the measuring cups. Note: Depending on the fractions that you chose
for your ingredient amounts, it may not be possible to create each exact
amount using only
1
3
and
1
4
measuring cups. If you need to, you can round
your ingredient amounts using benchmarks and then explain how you would
estimate that amount. For example, if you need
4
7
cup of an ingredient,
4
7
cup is slightly more than
1
2
cup. You could fill up your
1
4
measuring cup twice
to make
1
2
cup of that ingredient, and then add just a tiny bit more to
estimate
4
7
cup.
• Use equations or other models to show how you would measure each
ingredient amount with only the two measuring cup sizes.
Your recipe and explanations will be submitted as your portfolio assessment.
Answer:
all the answer is the answer is yes then please diamond dedo plz
Step-by-step explanation:
it will increase by 75 think the answer is the first time
y= 10x +2 and -5x + 4y=-27
Answer:
x = -1
y = -8
Step-by-step explanation:
if y=10x+2 then we can substitute that expression in for 'y' in the second equation to solve for 'x':
-5x + 4(10x+2) = -27
-5x + 40x + 8 = -27
35x + 8 = -27
35x = -35
x = -1
now solve for 'y':
y = 10(-1) + 2
y = -10 + 2
y = -8
Rotate this figure 270 degrees clockwise
Answer:
it's the third answer
Step-by-step explanation:
360 degrees is a full circle so you subtract the 90 degrees from it and get 270. The only turn it would need to be a full 360 is 90 degrees. hope this helps
Answer:
its the one pointing to the right
Step-by-step explanation:
if its pointing down then goes 180 clockwise, then it will be pointing straight up, then 270-180 is 90 so it goes 90 degrees clockwise.
A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a red pen out of the box. If she chooses another pen out of the box without replacing the first one, what is the probability that she will pick a red pen both times? Write your answer as a percent rounded to the nearest whole.
Answer:
37.5%
Step-by-step explanation:
without replacing 7 becomes 6 so
6+6+4=16
and you have 6 red pens in the box so. 6/16 as a decimal is 37.5%
Please help me with this
Helena is thinking of a number. That number raised to the third power is 100 greater than when it is raised to the second number. What is the number Helena thinking about
Answer:
Step-by-step explanation:
Let the number = x
x^3 = x^2 + 100
x^3 - x^2 +0x - 100 =0
a = 1
b = - 1
c = 0
d = -100
My calculator solves these kinds of questions. The answer is
x1 = 5 Which we should be able to get without a special calculator
x2=-2+4i
x3 = - 2 - 4i
I doubt you need anything more than 5. If she is thinking of the complex numbers, she should be in a special class for people who think about such things
Here is a graph of the problem.
Rewrite y-5=4/3(x-6) in slope intercept form. Show your work
Answer:
y=4/3 x−3
Step-by-step explanation:
Alejandra states that ax+ b= a(x+ c), given a, b, and c are not equal to 0. What must be the value of c for Alejandra's statement to be true? (Hint: Solve for c.)
Answer: c = b/a
Step-by-step explanation:
ax+ b= a(x+ c)
ax+ b= ax+ ac
b= ac
c = b/a
Just send in the answer please I don’t need an explanation
Answer:
Step-by-step explanation:
Now as you can see based on the equation needed, it requires you to multiply the weight of an average banana times your mother. Doing this should give you the correct answer.
4q-5=7 q equals what?
5
Answer:
q= 3
Step-by-step explanation:
4q-5=7
4q=7+5
4q=12
4q/4= 12/4
q=3
Awnsehthrhdhdhehdhsbgsgshdhdhdgsh
Answer:
B
Step-by-step explanation:
Let's eliminate the incorrect answers. C and D are incorrect, since anything to the power of 0 is equal to 1. A is incorrect, because -1 * -1 = 1 since the negatives cancel out. B is correct, because -1*-1*-1*-1*-1 has an odd number of negatives, and thus you are left with -1 instead of 1. Therefore, the answer is B.
i need help i dont really understand what they mean by y=-x+7 please help me ty and no links!!
Answer:
Step-by-step explanation:
y = -x + 7 is a linear equation in slope-intercept form, y = mx + b.
The slope (m) measures the unit changes in the output (y ) for each one-unit change in the input (x) value.
b = the y-ccordinate of the y-intercept, (0, b). The y-coordinate, b, is what you will use for the slope-intercept form. The y-intercept is the point on the line where it crosses the y-axis.
Graphing y = - x + 7:To graph y = -x + 7, use the slope, m = -1 (down 1 unit, run 1 unit), and the y-intercept, (0,7) to plot points on the graph to connect a line with.
Vertical Line (Definition):The equation, x = 3 represents a vertical line with an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate. Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), as it will involve a division by zero (which consitutes an undefined operation).
Graphing x = 3:To graph x = 3, choose any point on the graph that has an x-coordinate of 3, then draw a vertical line from there.
The given equation has a solution that occurs at point (3, 4). Attached is an edited screenshot of the image that you uploaded.
Determine whether or not the relation is a function. Please help asap
Answer:
A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function
Step-by-step explanation:
Natalia is writing a recursive formula to represent the sequence.
8, 12, 18, 27, ...
What value should she use as the common ratio in the formula?
Answer:
There is no common ratio.
Step-by-step explanation:
I divided each number in the sequence from the number preceding it and the answer was not one of the numbers in the series. this would mean that there is no common ratio. (please correct me if i am wrong)
d= 4/5a + h solve for a
Answer:
5/4d - 5/4h = a or a = 5d-5h/4
Step-by-step explanation:
d = 4/5a + h
~Subtract h to both sides
d - h = 4/5a
~Multiply 5/4 to both sides
5/4d - 5/4h = a or a = 5d-5h/4
Best of Luck!
(d) Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches. (a) without using your calculator, approximate the decimal equivalent of wach numberto the nearest tenth. (b) Order the ribbon sizes from least to greatest Answers
Soo :
1.73, 2.23, 3.46
-5 ( x - 1 ) - x + 1 = -18
Answer:
x=4
Step-by-step explanation:
-5x+5-x+1=-18
combine like terms
-6x+6=-18
subtract 6 from both sides
-6x=-24
divide both sides by -6
x=4
Answer:
x=-4
Step-by-step explanation:
-5 ( x - 1 ) - x + 1 = -18
-5x+5-x+1=-18
6x+6=-18 <- -6 from both sides
6x=-24 <- divide 6 by both sides
x=-4
Find the new price after the markdown given. Round to the nearest cent if necessary.
$100 marked down 65%
Answer:
$35
Step-by-step explanation:
Take the amount of money you've discounted the merchandise at and divide it by the sales price.
18x2 - 200
Whats the answer
HELP I HAVE 10 MINUTES
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas?
Answer:
68 1/4
Step-by-step explanation:
Answer: YOU ARE SO CORRECT UP THERE
Step-by-step explanation: I TOOK THE QUIZ AND GOT 100%
please help me with this
Answer: x = 90°, therefore 3x = 270°
Step-by-step explanation:
The null space on the left of the shape is a 45-45-90 triangle. Since the internal angle is therefore 90°, 3x = 360°-9°, solving for x this yields x= 90°.
Acme Auto Parts gives all of their sales people an hourly wages and 3% commission on all the sales they ring up. Daniel rang up $3200.00 last week. How much did Daniel earn in commissions for the week?
Answer:
he earned 96$ in commissions
Step-by-step explanation:
