Given that
9^-1/2 = 27^1/4 ÷ 3^x+1
Find the exact value of x. ​

Answers

Answer 1

Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

Answer 2

The value of x is 3.

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]

[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]

[tex]3^{-1}= 3^{1-x+1}[/tex]

[tex]3^{-1}= 3^{2-x}[/tex]

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

Learn more about this algebra here:

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Related Questions

Nancy and bill collect coins. Nancy has x coins. Bill has 9 coins fewer than 5 times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.

Answers

Answer:

nicee cat

Step-by-step explanation:

can sum1 do number 3 for me plz i will mark brainliest

Answers

Answer:

Addition-

(9x+27)

Subraction-

(x-63)

Multiplication-

(20x-810)

Division-

(1.25x-0.4)

Step-by-step explanation:

What is the value of 100?

Answers

Answer:

10

Step-by-step explanation:

Means back the numbers into multiples of several small numbers

Like:; 1. We take LCM of 40

Just break into multiples of small number

40= 2×2×2×5

2. We take LCM of 50

50= 5×5×2

So LCM for 100 is 2×2×5×5

after that see the pairs in the LCM like 2×2 or 3×3 or 4×4(same numbers)

Then write the the single number in place of two multipled numbers

Like:; 2×2 is written as 2 // 3×3 is written as 3

So we can write 100 into 2×2×5×5 and then after selecting pairs (2×2)×(5×5)

write pairs in single number 2×5

And so we get 2×5=10

So we find root of 100 that is 10

Value of a hundred is a hundred

Hurry plzzz
How many solutions does this system have?
12x-4y--8
y-3x+ 2
O one
O two
O
an infinite number
no solution

Answers

Step-by-step explanation:

12x-4y=-8y=3x+212x-4(3x+2)=-8

12x-12x-8=-8

0=0

I think,no solution

Select the correct solution for 8x = 56.
O A. X= 1/7
O B. X = 48
O c. x = 64
O D. x = 7

Answers

D but I need at least 20 characters

Help and what is function ​

Answers

Depends, maybe an activity or purpose natural to or intended for a person or thing
A function is a relationship or expression involving one or more variables.

A graph of f(x) = 10x2 – 11x – 6 is shown on the coordinate grid. What are the zeros of f(x)?

Answers

Answer:

-2/5 and 3/2

this is the answer for your question i probably send it to late for your answer but i hope it helps

help............please

Answers

Answer:

k=5

Step-by-step explanation:

subtract 14 from both sides

Answer:

19=4+k is easy that means 10-x=100+11 so the answer is 70

Step-by-step explanation:

Solve each question using elimination
-4x-2y=-12
4x+8y=-24

Answers

Answer:

(3,6) or x= 3 and y= 6

(-6,-3) or x= -6 and y= -3

Find the missing angle:
100° 29°
?
A. 60 degrees
B. 55 degrees
C. 51 degrees
D. 90 degrees

Answers

Answer:

c. 51 degrees is the missing angle.

can anyone help please :)

Answers

Answer:

148°

Step-by-step explanation:

the angles are equal

Select all functions from the tables given below that show Y as a function of X.
A.
B.
C.
D.
E.

Answers

Answer: I dunnowhy are you asking me

Step-by-step explanation: the line of the perpendicular angle is non existent

Mr. gracia is at Dunkin' Donuts .he has $17.50 in his pocket ,and he buys a sandwich for $2.50 and 5 coffees using cash . Write an inequality to determine the possible cost of each coffee

Answers

Answer:

The coffee is $3 or less

Step-by-step explanation:

Set up an inequality where c is the cost of one coffee:

17.50 [tex]\geq[/tex] 5c + 2.50

Solve for c:

17.50 [tex]\geq[/tex] 5c + 2.50

15 [tex]\geq[/tex] 5c

3 [tex]\geq[/tex] c

So, the coffee is $3 or less

please answer my question I will mark brainliest

Answers

Answer:

Wouldn't it be A because the spinner has a 1/8th of a chance to land on a number

Step-by-step explanation:

Please help giving brainiest

Answers

Answer:

(0, -1); maximum

Combining Like Terms
-4x - 2 + 5x = -4
I know the answer is -2 but I don’t know how to get -2

Answers

You have to combine the -4x+5x first
combine the -4x and the 5x
x-2=-4
+2. +2
x=-2

hope this helps!

work out the surface area of this triangular prism

Answers

I’m fairly certain it would be 958cm^2

^70 POINTS
can someone help me with this i rlly need it




The length of a rectangle is 1 inch less than twice its width, and its perimeter is 40 inches. Find the width of the rectangle.


7 in.
13 in.
14 in.




If the second equation is multiplied by 5 and then the equations are added, the result is _____.

x + 5y = 3
2x - y = -2


9x = 13
11x = -7
9x = -7


For the following system, use the second equation to make a substitution for x in the first equation.

x + 3y = 5
x + 7 = 2y

What is the resulting equation?


2y + 2x + 3y = 5
2y + 7 + 3y = 5
2y - 7 + 3y = 5




Graph the following system of equations. Click on the graph until the correct one appears.

y > -x + 1
y ≤ 2x - 3


Find A B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10}.



{6}
{2, 3, 4, 6, 8, 9, 10, 12}


Choose the correct mathematical translation for the given statement.

She is at most twenty years old.


x 20
x ≥ 20

Answers

Answer:

1) 7 in

2) 11x=-7

3)2y - 7 + 3y = 5

4) i DONT'KNOWN

Step-by-step explanation:

1)

step 1

the length of the rectangle is 1 inch less than twice its width ( in other words , you have to subtract  1 to twice the width to get the length)

Let

L represents the length

W represent the width

Hence

Twice width= 2w

Now , replace

L=2w-1 equation (1)

Also

The perimeter =40 inches

[tex]perimeter= 2(L+W) 40=2(L+W) equation (2)[/tex]

Step 2

Solve for w

Replace equation (1) in equation (2)

[tex]40=2(L+W) equation (2)\\40=2((2W-1)+W)\\40=2(3W-1)\\40=6W-2\\Add 2 in both sides\\40+2=6W-2+2\\42=6W\\Divide both sides by 6\\\frac{42}{6}=\frac{6W}{6} \\7=W[/tex]

so ,the width is 7 in.

2) Given the equations

[tex]x+5y=3\\2x-y=-2[/tex]

The  first step is to multiply the second equation by 5 (both sides of the equation)

[tex]5(2x-y=-2)\\5(2x-y)=5.(-2)\\5.2x-5.y=-10\\10x-5y=-10\\[/tex]

Next is to add both equations

x+5=3 +10x-5y=-10 = 11x+0y=-7

The result is 11x=-7

3)[tex]x+3y=5\\x+7=2y[/tex]

To make a substitution for x using the second equation in the first equation you :

1. solve for x the second equation

Subtract 7 in both sides of the equation:

[tex]x+7-7=2y-7\\x=2y-7\\[/tex]

2.Substitute the x in the first equation for the value of x you get in step 1 :

[tex]2y-7+3y=5[/tex]

PLEASE MARK ME AS BRAINLIEST

Im new too this math and i could use a little help !:)

Answers

Answer:

25 degrees

Step-by-step explanation:

A right triangle is considered 90 degrees, so subtract 90 degrees by 65 degrees.

90 - 65 = 25

Hence, angle A equals 25 degrees.


Which expression is NOT equivalent to 2m 3 +4?
A. 4 + 2m
B. 3m2+4
C. 2(m+2)
D. m+m2+3+1

Answers

Answer:

I believe the answer is B,

explanation:

Well,  the others are exactly alike, the first answer is just the two numbers flipped, the third is where multiplication is needed, so (2 x m^3) + (2 x 2) = 2m^3 + 4. and the final one is m^3 plus itself which equals to 2m^3 + 4.

Find the slope (-5,-6), (3,-3) , (−5,−6), (3,−3)

Answers

Answer:

the slope or gradient is 8/2=4

Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct?

Answers

Answer:

Kayla

Step-by-step explanation:

Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.

Horizontal lines always have the slope of zero!

The system of equations id graphed on the coordinate plane.
y=4x +3
y=-X-2
Enter the coordinates of the solution to the system of equations
in the box

Answers

Answer:

;~; ...................IMA FAILL ;;;;;;;;;;----;;;;;;;;;;;;

Check ALL of the ratios that are equivalent to 5:8 (Select al that apply) 10:16 8:5 2.5:4 40:25 15 to 24​

Answers

Answer:

10 ,16 AND 8

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Top one correct thank you (mark him brainiest)

The expression 8 + 2x can be written as _____.


4(2 + x)
2(4 + x)
2(4 + 2x)

Answers

Answer: 2(4 + x)

Step-by-step explanation:

i just multiplied across the parentheses. we can rule out the first option, because it would multiply out to be 8 + 4x.

the second option is the one that i calculated second, so i knew that i could rule out the last one my default.

just for kicks, if we multiplied the third option, it would come out to 8 + 4x.

4 plus x then 5 plus two subtracted by 70 million x 50

6. In a class 85% of the students were present on a
certain day. If there were only 34 students present
on that day, how many students were absent on that
day?​

Answers

Answer:

I think it's 6 kids absent

Step-by-step explanation:

Hope this helps

16 divided by (x + 4) in WORD FORM

Answers

Answer:

sixteen divded by the sum of x and 4

Step-by-step explanation:

Hey there!

In order to do 16 divided by (x+4), you can first do 16/x + 16/4. Then, simplify 16/4, and then the answer to the question is 16/x + 4.

Hope this is what you were looking for! Let me know if you need more help! Good luck and have a great day!

What are the coordinates of vertex B' if the figure is rotated
90° counterclockwise about the origin?

Answers

Answer:

Answer: B'(-5,2)

Step-by-step explanation:

Rotations

When rotating a point B(x,y) 90 degrees counterclockwise about the origin it maps to an image point B'(-y,x).

The image shows a figure formed by points ABCD. The coordinates of B are B(2,5).

This point will be rotated 90 degrees counterclockwise about the origin, thus the coordinates of the image point B' are B'(-5,2).

Answer: B'(-5,2)

whats the quotient of -72 divided by -9?

Answers

Answer:

8

Step-by-step explanation:

  9 |08|

       72

   -    0

        72

-

         72

            00

Which line has a slope of 0.625, and which line has a slope of 1.6?
Explain why the slopes of these lines are 0.625 and 1.6.

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.

The slope of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)\ is:[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let the point where the two lines intersect be the origin (0, 0).

Line 1 passes through (0, 0) and (8, 5). Hence:

slope of line 1 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{8-0} =0.625[/tex]

Line 2 passes through (0, 0) and (5, 8). Hence:

slope of line 2 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{5-0} =1.6[/tex]

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