The radicands are powers of the same base, so they can be written using rational exponents.
Simplify the quotient of the exponential expressions by getting a common denominator and subtracting exponents.
The simplified expression is the 4th root of y
The expression can be written as a single radical by covertong the expression to a rational format such that both the denominator and numerator have the same base as y¼
Numerator = The 4th root of y³ = y¾Denominator = squareroot of y = y½Using indices :
Division sign signifies the powers should be subtracted[tex] \frac{y¾}{y½} = y^{¾ - ½} = y¼[/tex]
Therefore, the expression can be written as a single radical thus y¼
Learn more :https://brainly.com/question/8377736
WILL GIVE A BRAINLEST!!!!!!
Solve and check : c-4/c-2=c-2/c+2 - 1/2-c
The solution is c =
How many extraneous solutions are there?
[tex]c=14[/tex]
There is no extraneous solution because as we put the value of c in equation (1), it does not make the equation (1) not define.
Step-by-step explanation:
Given :
[tex]\dfrac {c-4}{c-2} = \dfrac {c-2}{c+2} - \dfrac{1}{2-c}[/tex] --------- (1)
Calculation :
[tex]\dfrac {c-4}{c-2} = \dfrac {(c-2)^2+(c+2)}{(c+2)(c-2)}[/tex]
[tex]c-4 = \dfrac {(c^2-4c+4)+(c+2)}{(c+2)}[/tex]
[tex](c-4)(c+2) = (c^2-3c+6)[/tex]
[tex](c^2-2c-8) = (c^2-3c+6)[/tex]
[tex]c=14[/tex]
There is no extraneous solution because as we put the value of c in equation (1), it does not make the equation (1) not define.
For more information, refer the link given below
https://brainly.com/question/11897796?referrer=searchResults
Answer:
14 and Zero
Step-by-step explanation:
Daniel read 3 books in 2.5 weeks. which rate represents this situation
7.5 books/3 weeks
3 books/2.5 weeks
3 books/7.5 weeks
2.5 books/3weeks
Write an equation in point-slope form for the line through the given point with the given slope. (–3, –7); m = -6/5
Construction is under way at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?433 feet
975 feet
1,050 feet
1,477 feet
Answer:
if your asking for plato it will be B
Step-by-step explanation:
got it correct just now
Write an inequality to represent the situation: The temperature stayed above -15 degrees. Help!
Answer:
Temperature t > -15 degrees.
Step-by-step explanation:
Let t denote the temperature.
The inequality sign for above or greater is >. The inequality sign for less than is <.
It is given temperature stayed above -15 degrees.
This can be written in inequality form as t> -15 °(degrees)
The inequality to represent the temperature is t > -15°C
Given data:
To represent the situation where the temperature stayed above -15 degrees, the inequality symbol used is ">".
In an inequality, the ">" symbol means "greater than." By using this symbol, the temperature needs to be greater than -15 degrees.
The inequality representing this situation is:
Temperature > -15°C
So, t > -15°C
If the temperature is higher than -15 degrees, the inequality is true.
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ6
If triangle ABC has sides of lengths 6,10,and x, between which two numbers must the value of x lie
Find the area of a circle with a circumference of 2pi Either enter an exact answer in terms of 3.14 pi or as a decimal
what is the approximate distance between the points (1 -2) and (-9 3) on a coordinate grid?
Answer:
11.18
Step-by-step explanation:
Jessica needs 54 cupcakes for her party. They come in packs of 10.how many packs does Jessica need ?
Follow below steps:
To determine the number of packs Jessica needs for 54 cupcakes:
Divide the total number of cupcakes by the number of cupcakes in each pack: 54 ÷ 10 = 5.4
Since Jessica cannot buy a fraction of a pack, she needs to round up to the nearest whole number. Therefore, Jessica needs 6 packs of cupcakes.
The area of a triangle is 1440 cm^2. the base of the triangle is 5 times the height. what is the height of the triangle?
“How many times did you ride the Ferris wheel today?” Is the question a statistical question? Explain why or why not.
Is the transformation a rotation about point j?
Choose the correct simplification of the expression a to the 9th power times b to the 10th power all over a to the 2nd power times b to the 7th power.
the factors of m^2 + 12m + 35 are?
Explain why 81 3/4 equals 27
General Idea:
There are few exponent rules that need to be used to simplify the rational exponent to get to the answer.
Exponent rules:
[tex] Rule\; 1: a \cdot a \cdot a \cdot a =a^4\\ \\ Rule\; 2: (a^m)^n=a^{m \times n} [/tex]
Applying the concept:
Rewriting 81 as a number with an exponent using prime factorization.
[tex] 81=3 \times 3 \times 3 \times 3 = 3^4\\ \\ Applying \; Rule \; 1, \; we\; get\; \\\\81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}} \\ \\ Applying \; Rule \; 2,\; we\; get\\ \\ 3^{4 \times\frac{3}{4} } = 3^{\frac{12}{4} }=3^3=3 \times 3 \times 3 = 27 [/tex]
Conclusion:
The above explanation explains why [tex] 81^{\frac{3}{4}} =27 [/tex]
ASAP plz help fast thanks
help me i need it asap ! please and be correct plz
Five is a solution of (Y < -3)
A.True
B.False
PLEASE HELP SUPER EASY IM JUST STUPID
Which is the most accurate description of the polygon below?
Answer:
It is a rhombus.
Step-by-step explanation:
To identify the type of polygon, we will first determine if the opposite sides are parallel. To do this, we find the slope of each line segment. (Parallel lines have the same slope.)
For WX, m = (5-2)/(1-5) = 3/-4 = -3/4
For XY, m = (2--1)/(5-1) = 3/4
For ZY, m = (2--1)/(-3-1) = 3/-4 = -3/4
For ZW, m = (2-5)/(-3-1) = -3/-4 = 3/4
Since the slopes of WX and ZY are the same, these two sides are parallel. Since the slopes of XY and ZW are the same, these two sides are parallel. Since opposite sides are parallel, the figure is a parallelogram.
In order to be a rectangle, the angles would have to be right angles. Since perpendicular lines have slopes that are negative reciprocals of each other, the slopes of adjoining sides would have to be opposite signs and flipped. This is not the case, so the angles are not right; this means it is not a rectangle.
The only other option for a parallelogram without right angles would be a rhombus. This is the case if the length of each side is the same. We will use the distance formula for this:
[tex]WX=\sqrt{(5-2)^2+(1-5)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\XY=\sqrt{(2--1)^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5\\\\YZ=\sqrt{(2--1)^2+(-3-1)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\ZW=\sqrt{(2-5)^2+(-3-1)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]
Since the length of each side is the same, this figure is a rhombus.
Suppose that G(x) = F(x - 8). Which statement best compares the graph of G(x) with the graph of F(x)? apex
A.The graph of G(x) is the graph of F(x) shifted 8 units to the right.
B.The graph of G(x) is the graph of F(x) shifted 8 units to the left.
C.The graph of G(x) is the graph of F(x) shifted 8 units up.
D.The graph of G(x) is the graph of F(x) shifted 8 units down.
Answer:
B
Step-by-step explanation:
The graph of G(x) = F(x - 8) is the graph of F(x) shifted 8 units to the right, option A.
When comparing the graph of G(x) = F(x - 8) with the graph of F(x), we note that there is a horizontal shift involved. Following the rules for transformations, subtracting a positive constant from the independent variable x results in shifting the graph to the right by that constant. Therefore, the statement that best compares the graph of G(x) with the graph of F(x) is: The graph of G(x) is the graph of F(x) shifted 8 units to the right, option A.
This is similar to the effect observed when comparing the functions f(x) and f(x - 2), where the latter's graph is a rightward shift of the former's graph by 2 units.
Complete the table. Original Price Percent 112 of Discount 32% Sale Price
Answer:
$76.16
Step-by-step explanation:
$76.16
Which of the following values is closest to the mean for the set of data shown below?
23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
A.45.9 B.50 C.58 D.54.3
Someone please help, with a cherry on top?
View attached graph and find the approx. slope
THANK YOU SOOO MUCH!!!
How to calculate linear distance between two points on circle circumference?
Lisa made $286 for 13 hours of work. at the same rate, how many hours would she have to work to make $242 ?
Rico travelled from the United States to the United Kingdom. Once Rico arrived, he converted his American dollars into British pounds (the currency in the U.K.). He gave the bank teller $500 and was given back 295 pounds. At the end of his vacation Rico had 75 pounds left over which he converted back into US dollars. How much money (in US dollars ) did Rico have when he got home? Round the answer to the hundredth.
Find the value of x in the triangle shown below?
A. 44°
B. 29°
C. 107°
D. 90°
telling a child that he won't amount to anything in life is a form of
(A)neglect
(B)emotional abuse
(C)physical abuse
(D)sexual abuse
How would you factor 4x^2 + 9?
I think the answer has imaginary numbers in it, but how would you get the solution?
helppppppppppppppppppppppppppppp