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3 years ago

Can someone pls explain this to me. I thought I understood it but everything I type in is incorrect!:(

Mathematics

1 answer:

kakasveta [241]3 years ago

4 0

Notice the graph, the domain is just the horizontal area "used up" over the x-axis, so, the graph goees from $\bf -\cfrac{5x}{2}\quad to\quad \cfrac{5x}{2}\implies domain\implies \left[-\cfrac{5x}{2}\ ,\ \cfrac{5x}{2}\right]$

the range is just, the vertical area "used up" over the y-axis, so, the graph goes to 2 and down to -2, thus $\bf range\implies [2\ ,\ -2]$

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Match the expressions with their equivalent simplified expressions.

Tasya [4]

Answer:

$\sqrt[4]{\frac{16x^6y^4}{81x^2y^8}}\rightarrow\frac{2x}{3y}\\\sqrt[4]{\frac{81x^2y^{10}}{81x^6y^6}} \rightarrow\frac{3y}{2x}\\\sqrt[3]{\frac{64x^8y^7}{125x^2y^{10}}}\rightarrow\frac{4x^2}{5y}\\\sqrt[5]{\frac{243x^{17}y^{16}}{32x^7y^{21}}}\rightarrow\frac{3x^2}{2y}\\\sqrt[5]{\frac{32x^{12}y^{15}}{243x^7y^{10}}} \rightarrow\frac{2xy}{3}\\\sqrt[4]{\frac{16x^{10}y^{9}}{256x^2y^{17}}}\rightarrow\frac{x}{2y}$

Step-by-step explanation:

$\sqrt[4]{\frac{16x^6y^4}{81x^2y^8}} =\sqrt[4]{\frac{(2^4)(x^{6-2})(y^{4-8})}{(3^4)}} =\sqrt[4]{\frac{2^4x^4y^{-4}}{3^4}} =\frac{2xy^{-1}}{3}=\frac{2x}{3y}$

$\sqrt[4]{\frac{81x^2y^{10}}{81x^6y^6}} =\sqrt[4]{\frac{(3^4)(x^{2-6})(y^{10-6})}{(2^4)}} =\sqrt[4]{\frac{3^4x^{-4}y^{4}}{2^4}} =\frac{3x^{-1}y^1}{3}=\frac{3y}{2x}$

$\sqrt[3]{\frac{64x^8y^7}{125x^2y^{10}}} =\sqrt[3]{\frac{(4^3)(x^{8-2})(y^{7-10})}{(5^3)}} =\sqrt[3]{\frac{4^3x^6y^{-3}}{5^3}} =\frac{4x^2y^{-1}}{5}=\frac{4x^2}{5y}$

$\sqrt[5]{\frac{243x^{17}y^{16}}{32x^7y^{21}}} =\sqrt[5]{\frac{(3^5)(x^{17-7})(y^{16-21})}{(2^5)}} =\sqrt[5]{\frac{3^5x^{10}y^{-5}}{2^5}} =\frac{3x^2y^{-1}}{2}=\frac{3x^2}{2y}$

$\sqrt[5]{\frac{32x^{12}y^{15}}{243x^7y^{10}}} =\sqrt[5]{\frac{(2^5)(x^{12-7})(y^{15-10})}{(3^5)}} =\sqrt[5]{\frac{2^5x^{5}y^{5}}{3^5}} =\frac{2x^1y^{1}}{3}=\frac{2xy}{3}$

$\sqrt[4]{\frac{16x^{10}y^{9}}{256x^2y^{17}}} =\sqrt[4]{\frac{(2^4)(x^{10-2})(y^{9-17})}{(4^4)}} =\sqrt[4]{\frac{2^4x^{8}y^{-8}}{4^4}} =\frac{2x^{1}y^{-1}}{4}=\frac{x}{2y}$

Thus,

3 0

3 years ago

Angles T and V are country that angle T has a measure of (2X +10) angle B has a measure of 48° what is the value of X

enyata [817]

If T and V are complementary angles, their sum is 90°.

V + T = 90°
48° + (2X+10)° = 90° . . . . . . . substitute given information
2X + 58 = 90 . . . . . . . . . . . . .. collect terms
2X = 32 . . . . . . . . . . . . . . . . .. subtract 58
X = 16 . . . . . . . . . . . . . . . . . .. divide by 2

The value of X is 16.

4 0

3 years ago

Convert 9 cubic meters into cubic feet. Round your answer to the nearest whole number.

Aleksandr-060686 [28]

317.832

318

The exact answer is being written as a decimal. The rounded is answer will be 318. I hope this answers your question.

5 0

3 years ago

Read 2 more answers

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

Law Incorporation [45]

Answer:

Question 1: A)we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

c)The distance traveled in 1 rotation = 628 ft

2(a)AREA of a CIRCLE = π R²

(b)Area the wheel takes up is 31,400 sq ft

Step-by-step explanation:

Question 1:

Diameter = 200 ft

Now,as Diameter = 2 x Radius

So, R = D/2 =200/2 = 100 ft

A) Distance around the wheel = The length of the boundary of the wheel.

So, we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

Here R = Radius and use π = 3.14

C) The distance traveled in 1 rotation = 1 completer length of boundary

Now, Circumference = 2 π R = 2 x (3.14) x (100 ft) = 628 ft

Question 2:

A) Space the Ferris Wheel takes up = Area of the wheel

AREA of a CIRCLE = π R²

B) AREA of a CIRCLE = π R²

= (3.14) (100 ft ) (100 ft) = 31,400 sq ft

So, the area the wheel takes us is 31,400 sq ft

3 0

3 years ago

Find The Five<br> Rational number<br> Between<br>-3/2 and 5/3

Umnica [9.8K]

here is your answer

1.61 , 1.6245, 1.512, 1.432, 1.32456

Step-by-step explanation:

covert fraction to decimal we get,

-3/2 = -1.5 and 5/3 = 1.70

and any number that lies between these two numbers which is terminating and non repeating or non terminating repeating.. that are the numbers that you need.

3 0

3 years ago