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When we're solving equations, our prime goal is to isolate the variable. We can do this by using inverse operations to combine like terms.
Examples:
The inverse operation of addition is subtraction, and vice versa.The inverse operation of an exponent is taking the root of the exponent, and vice versa.Solving the Question[tex]\sqrt[3]{5x-4}=\sqrt[3]{7x+8}[/tex]
⇒ Here, both sides are being taken to the square root of 3. To remove this, we can raise both sides to the power of 3:
[tex](\sqrt[3]{5x-4})^3=(\sqrt[3]{7x+8})^3\\5x-4=7x+8[/tex]
⇒ Let's move our x variable to the right side of the equal sign and the numbers to the left side. Start by subtracting 5x from both sides:
[tex](\sqrt[3]{5x-4})^3-5x=(\sqrt[3]{7x+8})^3\\5x-4=7x+8-5x\\-4=2x+8[/tex]
⇒ Now, subtract 8 from both sides:
[tex]-4-8=2x+8-8\\-12=2x[/tex]
⇒ Finally, divide both sides by 2 to isolate x:
[tex]\dfrac{-12}{2}=\dfrac{2x}{2}\\\\-6=x[/tex]
Answerx = -6
Answer:
A
Step-by-step explanation:
EDGE 2019
Related Questions
HELPPOO PLEASE EASY POINTS !!
A figure is reflected over the y = x line and then rotated 90° clockwise about the origin.
Write the coordinate rule for the transformation.
Under this series of transformations, the point (-4,-1) maps to
Would it make a difference if the order of transformations were reversed?
Justify
Answers
not an answer but I’m working on the same worksheet and if u wanna work on it together than u should add my discord: kuispe#1715
The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 90 feet is 630 pounds per square inch. What is the pressure at 10 feet?
Answers
100-475.50<1200 slove
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Answer:
-375.5<1200
True
Step-by-step explanation:
100-475.5 = -375.5
Brainliest please!!
help with the last question plss
Answers
It is an equation because it has an equal sign and it must solve for the variable which is "n".
Step-by-step explanation:
I need help on this question
Answers
Answer:
Step-by-step explanation:
please answer I need help!!
Answers
Answer:
Step-by-step explanation:
answer: 0.73 because 7 hundreths times 10 = 7 tenths
someone help me please
Answers
Answer:
132
Step-by-step explanation:
180-48= 132
Its this bc a straight line is 180 degrees and if you know 48 then its 132+48 which gets 180
What if the vertices of the county were (-5,8), (8,8), (8,-6), and (-5,-6)? What would the perimeter of the county be?
Answers
Answer:
54 units
Step-by-step explanation:
We can graph the vertices given to make this easier to solve.
-> See attached.
-> This will help us in finding the lengths of the sides.
-> We can also use mathematics.
8 + 5 = 13 and 8 + 6 = 14
Next we will find the perimeter.
-> This can be found with either of these formulas:
[] P = 2L + 2W
[] P = W + W + L + L
P = 2L + 2W
P = 2(14) + 2(13)
P = 54
The perimeter of the county is 54 units
help please if cant read its a 15mm 20mm and 100mm
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Answer:
Exact volume = 30,000 + 5,000pi cubic mm
Approximate volume = 45,700 cubic mm
========================================================
Explanation:
Break the figure into two pieces.
The top part is a half-cylinder with radius r = 20/2 = 10 mm and height h = 100 mm.
The volume of this half-cylinder is
V = 0.5*(full cylinder volume)
V = 0.5*pi*r^2*h
V = 0.5*pi*10^2*100
V = 5000pi
This is exact in terms of pi.
The lower part is a 20 mm by 100 mm by 15 mm rectangular block. It has volume of length*width*height = 20*100*15 = 30,000 cubic mm.
---------
We'll add the two volumes found earlier to get the overall volume.
The total exact volume is 30,000+5,000pi cubic mm.
To get an approximation, you can use something like pi = 3.14
30000+5000pi = 30000+5000*3.14 = 45,700 cubic mm is the approximate volume when using pi = 3.14
what is angle D? i don't know how to do the math due to being absent on a friday
Answers
Answer:
∠ D = 110°
Step-by-step explanation:
Assuming the quadrilateral is a parallelogram.
• Consecutive angles sum to 180° , then
∠ B + ∠ C = 180 , that is
5x + 3x + 4 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
∠ B = 5x = 5 × 22 = 110°
• Opposite angles are congruent
∠ D = ∠ B = 110°
Airline passengers pay $439 to fly to California. For this price, customers may check 2 pieces of luggage. There is a fee of $25 for each additional piece of luggage a passenger wants to check. Which function can be used to find the amount in dollars a passenger has to pay to fly with p pieces of luggage, where p >2
Answers
Answer:
G. [tex] C = 25(p - 2) + 439 [/tex]
Step-by-step explanation:
Amount paid by customer to fly to California if carrying 2 pieces or less than 2 pieces of luggage for which they won't be charged for = $439
Fee for additional luggage = $25
Fee for additional luggage if an individual carries p luggages = 25(p - 2)
Total amount (C) if p pieces of luggage were carried by a customer travelling = fee for additional p pieces of luggage + $439
The function for this would be:
[tex] C = 25(p - 2) + 439 [/tex]
cuando un número es representado en notacion científica con exponente negativo¿ Hacia dónde se recorre el punto decimal para escribirlo en número normal ?
Answers
Answer:
El decimal siempre va a la izquierda.
Step-by-step explanation:
Mueve el decimal el número de veces que el exponente es. Por ejemplo: 5.3x10^-2. En el 5.3 vas a mover el decimal 2 veces a la izquierda.
0.053
Point I is on line segment HJ. Given HJ = 15 and IJ
HI.
10, determine the length
Answers
Answer:
Point I is on line segment HJ; which means HI and IJ are equal.
HJ = 15
IJ = 10
Finding the length of HI, given the above statements:
Length of HI = 10 (reason: HI and IJ are congruent)
Find the value of x. Then , find the measure of each angle.
Answers
Answer:
I got you :)
Step-by-step explanation:
All angles of a triangle add up to 180 degrees so you can make the equation
3x-2+4x+9+3x-9=180 this equation will help you find x
I used the equation to find out that x=18.2 (i can explain this part further if you would like)
so now you know x=18.2 and all you have to do is plug in
m<H = 3 x 18.2 - 2 = 52.6
m<I = 4 x 18.2 + 9 = 81.8
M<J = 3 x 18.2 - 9 = 45.6
Hope this helps! :)
Also to check work you can do 52.6+81.8+45.6= 180 :) you know its right because it equals 180 degrees at the end
Aplicando el teorema de Tales elige la opción que determine la altura de una torre que proyecta una sombra de 14 m, tomando en cuenta que Kevin tiene una estatura de 1.75 m y proyecta una sombra de 3.5m
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Utilizando el teorema, veremos que la altura de la torre es 7 metros.
¿Cual es la altura de la torre?
El teorema de Tales nos dice que para triangulos similares, la razon entre los catetos debe ser igual.
Esto significa que la razon entre la altura y el largo de la sombra de un objeto debe ser una constante.
Sabemos que Kevin tiene una estatura de 1.75m y proyecta una sombra de 3.5m
El cociente es:
3.5m/1.75m = 2
Es decir, la sombra tiene una longitud de dos veces la altura.
Entonces si la sombra de la torre es de 14m y la altura es h, tendremos:
14m/h = 2
h = 14m/2 = 7m
La altura de la torre es de 7 metros.
Sí quieres aprender más sobre triangulos rectangulos, puedes leer:
https://brainly.com/question/25839532
Find the quotient 70 divided by 17
Answers
Answer:
4.1
Step-by-step explanation:
Answer:
4.117.....
Step-by-step explanation:
it is corecct answer but it has remainder.
Solve for j in the literal equation h − 7j= k.
Answers
Answer:
j = k - h/-7
Step-by-step explanation:
you make j all by itself
Solve for the value of x in the figure below.
Solve for the value of y in the figure below.
Answers
Answer:
x=37
y=125
Step-by-step explanation:
97+28+x+18=180 (sum of the interior angles of a triangle is 180)
143+x=180
x=180-143
x=37
y+x+18=180 (sum of the angles on a straight line is 180°)
y+37+18=180
y+55=180
y=180-55
y=125
or
y=97+28(exterior angle of a triangle= 2 interior opposite angles)
y= 125
What is the lenght of the side opposite the 60 degree angle?
Answers
ratio of short leg: long leg: hypo=a: av3: 2a
so if short leg = 6, long leg = 6V3
opposite site the 60 angle = long leg =6v3
answer
6V3
which are rational numbers 3,5,1,9,4,8
Answers
Answer:
3 is rational, 5 is rational, 1 is rational, 9 is rational, 4 is rational, 8 is rational.
Step-by-step explanation:
Please Help ASAP! What is the measure of Angle WZY
Answers
Answer: 138
Step-by-step explanation:
A membership sales person at a gym is given a choice of two different compensation plans. One plan offers a weekly salary of $300 plus a commision of $15 for each membership sold. The other plan offers no salary but pays $30 commission on each membership sold. How many memberships must the salesperson sell to make the same amount of money under both plans? FAST PLS
Answers
Answer: The salesperson must sell 20 memberships to make the same amount of money under both plans.
Step-by-step explanation:
Let x be the number of memberships.
In first plan,
Weekly salary of $300 plus a commission of $15 for each membership sold.
i.e. Earning (weekly) = 300+15x
In second plan,
The other plan offers no salary but pays $30 commission on each membership sold.
i.e. earning = 30x
According to the question, when [tex]300+15x=30x[/tex]
[tex]\Rightarrow\ 300=30x-15x\\\\\Rightarrow\ 300=15x\\\\\Rightarrow\ x=\dfrac{300}{15}\\\\\Rightarrow\ x=20[/tex]
Hence, the salesperson must sell 20 memberships to make the same amount of money under both plans.
Select the correct verbal description for the expression below. A. the sum of x and a factor not depending on x B. the product of x and a factor depending on x C. the sum of x and a factor depending on x D. the product of x and a factor not depending on x
Answers
Answer:
D. the product of x and a factor not depending on x
Step-by-step explanation:
The equation for the given expression is:
[tex]x (2y+7z)^{2}[/tex]
According to the expression, there are two factors:
the first factor is x, and
the second factor is [tex](2y+7z)^{2}[/tex]
Since, the second factor do not contain x, therefore it is independent of x.
Hence, the expression for the given equation will be the product of x and a factor not depending on x.
Evaluate 2a-3b
a= 5/2 and b = -2
PLEASE ANSWER ASAP , thanks.
Answers
2(5/2) -3(-2)
2/1(5/2) - 3(-2)
10/2 + 6
5 + 6
11
Jenna wears an orange shirt to school every 27 days (including today).
Hunter wears an orange shirt to school every 36 days (including today).
After today, what is the LEAST number of days it will take for both to wear
their orange shirts to school on the same day?
Answers
Answer:
2
Step-by-step explanation:
Pls answer i will mark u brainlist
Answers
a) x(x+12) + 27
b) m(2n-3k) - 2p(3k + 2n)
can somone help me out
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Hey there!
-----------------------------------------------
3 X 2(1/3) = 7
4 X 1(1/3) = 5(1/3)
4 X 1(5/6) = 7(1/3)
*Numbers in parenthesis are the fractions, the first number over the other one.
How many years is 694.44 days?
Answers
Answer:
1.9 years
Step-by-step explanation:
There are 365 days in a year
694.44 / 365 = 1.9
Hope this helps!
Answer: 1.9013
Step-by-step explanation:
Help please :). I need helppppppo
Answers
Answer:
386% is the 1 3/4 and the other is 239% I think?
Step-by-step explanation:
which inequality is graphed below
a. y<x2+4x+4
b. y2+4x+4
c. y>x2+4x+4
Answers
Answer:
c.
Step-by-step explanation:
The graph will be shaded above the boundary line when the inequality is of the form ...
y > ( )
The boundary line will be solid when the comparison includes the "or equal to" case:
y ≥ ( )
__
Here, the parabola will open upward if the leading coefficient is positive:
y ≥ x² + ( )
The shading above the solid line tells you the inequality is ...
y ≥ ( ) . . . . . matches choice C
_____
Additional comment
The parent function x² is shifted left 2 units, so the graph is of (x +2)². The expanded form of this matches choice C.