find x:
[tex] {9}^{2x + 1 = {81}^{3x + 1} [/tex]


Answers

Answer 1

Answer:

[tex] x = - \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]{9}^{2x + 1} = {81}^{3x + 1} \\ \\{3}^{2(2x + 1)} = {3}^{4(3x + 1)} \\ \\ {3}^{4x + 2} = {3}^{12x + 4} \\ bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal\\ \\ 4x + 2 = 12x + 4 \\ \\ 2 - 4 = 12x - 4x \\ \\ - 2 = 8x \\ \\ x = - \frac{2}{8}\\ \\ x = - \frac{1}{4} [/tex]


Related Questions

A taco charges $2.50 plus a fee of $0.05 for each mile traveled. If the ride costs $7.50, how many miles was the ride?

Answers

Answer:

100 miles

Step-by-step explanation:

7.50-2.50=5.00

100x0.05=5.00

Answer:

2.9 miles or 3 miles

Step-by-step explanation:

1. Add 2.50 & 0.05 (dont forget to line up the decimals!)

2. Divide 7.50 & 2.55

3. You then get your final answer. ( round to the nearest tenths-)

A- im sorry if this is wrong T-T

Find the value of x and the measure of the angle labeled 6xº.

Answers

Answer:

30=6x(vertically opposite angle)

x=30/6=5

b.x=5,angle measure is 30

The answer is B. 30

Would anyone like a brainliest?
Or whoever guesses my favorite season first gets it.

Answers

Answer:

Winter,summer and fall

f(x)=-x^2-14 find f(9)

Answers

Answer:

Step-by-step explanation:

f(x) = -x² - 14

f(9) = -9² -14 = -81-14 = -95

The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m

Answers

Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

(6,2)-(4,5)-(9,4) dilated by a scale factor of 3

Answers

Answer:

1 . 6 , 2 is 18 ,6

2.4,5 is 12 ,15

3. 9,4 is 27,12

but is ans is wrong

GIVING BRAINLIEST!!!!!!

What is the total length of all meteors that are 1 6/8 inches?


A) three and four eighths inches
B) three and five eighths inches
C) four and seven eighths inches
D) three and seven eighths inches

Answers

Answer:B

Step-by-step explanation

Answer:

B

Step-by-step explanation:

if 15% of a value is 120 what is 20% of the value​

Answers

Answer:

160

Step-by-step explanation:

120divide15=8x20=160

Answer:

160

Step-by-step explanation:

15%=0.15

120/0.15=800

20%=1/5

800*1/5=160

Identify the solution for the system of equations graphed here.
A. (1, 1)
B. (-1, 1)
C. (1,-1)
D. (-1,-1)

Answers

The answer is c. (1,-1)

Answer:

c

Step-by-step explanation:

Mrs. Carter baked 100 muffins for a bake sale. The muffins were sold in packages of 2. There were 12 muffins left. Write an equation to find how
many customers bought muffins at the bake sale. Model the equation using a flowchart

Answers

Answer:

2n + 12 = 100 (Equation)2n = 88 (Solving)n = 44 people bought muffins at the bake sale. (Solving)

Step-by-step explanation:

100 muffins, and 2 in each package. Therefore, there are 50 packages. However, in the end, there are 12 left, so there must have been 6 packages left.

Answer:

2n+12=100 ...........

Find an equation of the line parallel to y = 3x + 2 and that passes through the point (-1, -3)

Answers

In order to be parallel to a line, two lines must have the same slope. The slope of y=3x+2 is 3. So the slope of the other equation has the be 3. y=3x+b. Now we can plug in the x and y values given by the point to calculate the b in the equation.
-3=3(-1)+b
-3=-3+b
b=0
So the equation is y=3x

What's the area of this figure? help!

Answers

The area is 250.5 in^2

Please help!!!!!!!!!!

Answers

The answer is c x=3

Find the gradient of the line segment between the points (8,6) and (10,12)

Answers

Answer:

3.

Step-by-step explanation:

The gradient = (12-6/(10-8)

= 6/2

= 3.

Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
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V90
3390
3120
V20
800

Answers

Answer:

3101

Step-by-step explanation:

A farmer has a field in the shape of a semicircle of diameter 50 m. First,
calculate the length of the semicircle to 1 decimal place.
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Answers

Answer:

157.1 m

Step-by-step explanation:

Here, we want to calculate the length of the semi-circle

This simply refers to the circumference of the semi-circle

Mathematically, the circumference is half that of a full circle

The circumference of a full circle is;

C = pi * d

For half circle or semi-circle;

It is ;

C = (pi * d)/2

D = 50 m

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C = 50 * 3.142

C = 157.1 m

9. If the area of square 1 is 250 units?, and the area of square 3 is
120 units, what is the area of square 2? Explain your reasoning.

Answers

Answer:

185 units.

Step-by-step explanation:

So first, I subtracted: 250 - 120 = 130

I divided 130 by 2. I got 65.

I subtracted 65 from 250 and I got 185.

Proof it is correct:

185 - 120 = 65

AND

250 - 185 = 65

--

Which of the following is the solution to the system of equations shown below?
x + 5y = -3
3x – 2y = 8

Answers

Answer:

x = -2, x = 1

Step-by-step explanation:

mark as brainliest it is right

what is the linear equation of a line with a rate of change of -1/2 that passes through the point (0, 4)

Answers

Answer:

y = 9/2 (fraction)

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = -1/2 + c

Therefore:

c = 9/2

So, y = 9/2

Brainlist pls!

the number of square units the figure encloses

Answers

Yo my name is Josue how y’all doing

PLEASE HELP THIS IS DUE ASAP AND I WILL MARK U BRAINLIEST

Answers

Answer: 4/1

Step-by-step explanation:

Rise over run. Starting at 1 on the y axis this line moves up 4 and over (right) 1 before it hits 1 on the x axis.

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Answers

Answer: 0 < x < 5.6

Step-by-step explanation:

The sides of triangle:

Any two sides added together have to be larger than the third side

So:

2.8 - 2.8 < x < 2.8 + 2.8

0 < x < 5.6

Determine the measure of angle A

Answers

Step-by-step explanation:

3x+18=4x+2

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help me out with this question (geometry)

Answers

Answer: It should be 24 because Ray SP is an angle bisector

Step-by-step explanation:

Angle 2 is 24 degrees because an angle bisector makes angles congruent

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Answers

Answer:

- 1/2

Step-by-step explanation:

In order to find a slope intercept we need to use,

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i’ll mark the brainliest for the correct answer, please just help me

Answers

Answer:

B, A.

Step-by-step explanation:

The answer is A! Good luck

What is the median?
A(18
B(27
C(33.2
D(34.5

Answers

Answer: 34.5

Step-by-step explanation:

First, write out all of the numbers from least to greatest.

which is (18,20,26,34,34,35,38,40,42,45)

Second, choose the number in the middle of the set of numbers you wrote out from least to greatest. (There are TWO numbers in this case, which are 34 and 35)

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help me pls this is 8th grade math fastest answer gets brainliest show work pls

Answers

Answer:

10/10 = 1

x2/x2 = 1

x3/x3 = 1

10 raise to power 4/ 10 raise to power 2 = 10 raise to power 2

5  raise to power 5/ 5 raise to power4 = 5

x  raise to power 7/ x raise to power 5 = x  raise to power2

Step-by-step explanation:

I hope this helps a little bit.

The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item. (round to nearest hundredth or cent.)

Answers

Answer: 0.13

3 times 0.044 =0.13

Step-by-step explanation:

pls help need it ASAP
will give brainlist
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Answers

Step-by-step explanation:

Given

5x + 2y = 16 .....i)

x + 2y = 4 .....ii)

Subtracting equation I) and ii) we get

5x + 2y = 16

x + 2y = 4

- - -

4x = 12

x = 3

Putting x = 3 in equation ii)

3 + 2y = 4

2y = 4 - 3

y = 1/2

x =3 and y = 1/2

Hope it helps :)

Answer:

1) x=2 y=3 2) x=2 y=1

Step-by-step explanation:

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