To solve the equation 2x - 1 - 7 = 9,
first
DO
write each side with base 2
add 7 to each side
divide both sides by 2

Answers

Answer 1
D ON EDGE
2^x-1 = 2^4 Step-by-step explanation
Answer 2

To solve the equation [tex]2^{x-1} - 7 = 9[/tex], we add 7 to both sides make the bases the same, and equate the exponents.

What are some rules of exponents?

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An exponential expression

[tex]2^{x-1} - 7 = 9[/tex].

[tex]2^{x -1} = 9 + 7.[/tex]

[tex]2^{x-1} = 16.[/tex]

[tex]2^{x-1} = 2^4[/tex].

x - 1 = 4.

x = 5.

learn more about exponential functions here :

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Related Questions

Kathleen and christine compared thier results on their results. Kathleen had 50 correct and christine had 60 correct answers. There were 42 words they both had correct and 6 they both had wrong. How many words were there on the spelling test.

Answers

Answer:

48

Step-by-step explanation:

42 + 6 = 48 total words

Answer:

74

Step-by-step explanation:

42+6+(50-42)+(60-42)

Please help with solution needed!!

Answers

Step-by-step explanation:

you know how to multiply two expressions ?

every term of every expression is multiplied with every term of the other expression and the results are added (while considering any specific signs, if course).

(2x² + 3)(2x² - 3) = 2x²×2x² + -3×2x² + 3×2x² + 3×-3 =

4x² - 6x² + 6x² - 9 = 4x² - 9

and that is exactly the right side of the original equation.

so, it is correct.

can someone please teach me how to do percentage ​

Answers

Answer:

value/total value • 100 = percentage

Step-by-step explanation:

if 5 out 100 kids have red backpacks then 5% of kids have red backpacks

5/100 • 100 = percentage

0.05 • 100 = percentage

5% = percentage

if 13 cars out of 41 have flat tires, then 32% of the cars have flat tires

13/41 • 100 = percentage

0.31707317073... • 100 = 31.707317073... %

depending on your precision, you may include as many decimal places as you like, unless the question specifies it.  For our example, we will round to 2 decimal places.

31.707317073... % = 31.71%

if you're looking to find percentages for probability, you will use the same equation.

the odds of flipping a coin and it landing on heads are 50%

possibilities:

Heads, Tails

there is one outcome where our result occurs out of the two possible outcomes

1/2 • 100 = percentage

0.5 • 100 = percentage

50% = percentage

Hope this helps and wasn't confusing

I NEED HELPPPPP ON THISSS ASAPPPPPPPP!!!!!!!!


- THIS IS A 50 POINT QUESTION

Answers

Answer:

40

Step-by-step explanation:

Sum of all angles of triangle = 180°

∠W + ∠X + ∠Y = 180

10x + 17 + 2x - 9 + 3x + 7 = 180

10x + 2x  +3x + 17 - 9 + 7 = 180

Combine like terms

15x + 15 = 180

       15x = 180- 15

         15x = 165

            x = 165/15

x = 11

∠Y =  3x +7  = 3*11 + 7 = 33 + 7 = 40

Answer:

X is 11 and after substitution y is 40

Which of the following represent the three sides of the right triangle shown below? Select all that
apply
20
18
16
14
12
10
8
6
4
2
0
1
2
3
4
5
6
7
8
9
10

Answers

you want a better price to pay the bill on leaderboard than a year old but the only other person would need points on a few days is a bit less expensive for you but you are going a good job in my career that will give my heart and legendary domortu for my son who loves the music he deserves as much for as a person can see it all of you can be very creative as I

2x^2-19x+9=0 does anyone know the answer

Answers

Answer:

x=1/2,x=9

Step-by-step explanation:

[tex]2x^{2} -19+9=0\\\\2x^{2} -18x-x+9=0\\\\2x(x-9)-1(x-9)=0\\\\(2x-1)(x-9)=0[/tex]

2x-1=0......I

x-9=0.......II

Solving I

2x-1=0

2x=1

x=1/2

Solving II

x-9=0

x=9

a) Write down all the factors of 120.

Answers

1 2 3 4 6 8 10 12 15 20 24 30 40 60 and 120

Answer:

Factors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120

Prime Factors:

2, 3,and 5

Step-by-step explanation:

Factors are: numbers that can be multiplied together to get a certain number

Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.

-12x - 7 = show me the steps please
thank you

Answers

Answer:

is there a number after the =? there are no like terms to solve this if you don't have that so you would put -12×-7...

Is (0,7) a solution to the equation 2x+y=6

Answers

Answer:

No

Step-by-step explanation:

2(0)+7

=0+7

=7

therefore,(0,7) is not a solution to the equation 2x+y=6

0=×

7=y

Answer: no it isn’t

Step-by-step explanation: this is super simple so do solve this you have know your x and y values on coordinate points in this case (0,7) our x here is 0 and our y is 7 (the x will always be the first number and the y will be the last)

Here we are given a equation all we have to do is plug 0 for x and 7 for y.
2(0)+7=6

2 x 0= 0

So: 0+7=7

7 does NOT equal to 6 therefor (0,7) is NOT a solution

I need help ls thank you!!!!!

Answers

Answer:

mean = 24

Step-by-step explanation:

From inspection, there are 7 values.

The values are 12, 13, 15, 28, 28, 30, 42

To find the mean, sum the numbers: 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Divide by the number of values:  168 ÷ 7 = 24

Therefore, mean = 24

Need some help if anyone can

Answers

Answer:

Step-by-step explanation:

can someone help, thanks!​

Answers

Answer:

16, 10

Step-by-step explanation:

There are 4 quarts in a gallon, so 4 gallons has 16 qt.

There are 2 pints in a quart, so 5 quarts has 10 pt.

How many triangles can I make with 3cm, 5cm, 4cm?

Answers

Answer:

You will need “paper sticks” that are 3cm, 4cm and 5cm long. Each measurement should have its own colour (e.g., 3cm red, 4cm green, 5cm blue). You will need to make approximately 12 of each “stick”.

Step-by-step explanation:

please show work and explain every step!

Answers

Answer:

x = 6

FE = 28

Step-by-step explanation:

The triangles are similar so their side lengths are proportional

we can use that proportional value to find x and FE

(5x-2)/42 = (4x+2)/39 cross multiply expressions

195x - 78 = 168x + 84 get like expressions to the same side of the equation

195x - 168x = 84 + 78

27x = 162 divide both sides by 27

x = 6 now to find FE replace x with 6 in the expression

5x - 2 = 5×6 - 2

FE = 28

does anyone know the answer to ts ?

Answers

Answer: C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

level of the sea 3 meter is true and fish lives in water.

30 is 10 times as much as

Answers

Answer:

3

Step-by-step explanation: 10*3 is equal to 30.

Answer:3

Step-by-step explanation:3 is 10 times as much as 30 which is 3x10=30

PERFOMANCE TASK: Solve the word problem below. You may draw the figure to solve the problem The legs of a right triangle are congruent, and the hypotenuse is 5v2 units long. Find the length of each leg. (Use the Pythagorean Theorem, c2 al + b2D​

Answers

Answer:

x =5

Step-by-step explanation:

c = 5√2

a = x

b = x

Formula

x^2 + x^2 = c^2                    Combine the x^2

Solution

2x^2 = (5√2)^2                    Expand the right side

2x^2 = 2*25                         Divide both sides by 2

x^2 = 25                               Take the square root of both sides.

x = 5

Perform the indicated operation.



3.26 + (-4)

0.74
-0.64
3.22
-0.74

Answers

Answer:

-0.74

Step-by-step explanation:

[tex]3.26 + ( - 4) \\ + \times - = - \\ 3.26 - 4 \\ substract \: the \: terms \\ - 0.74[/tex]

What is the measure of angle y in this figure?

Enter your answer in the box.

y=__

Answers

Answer:

163°

Step-by-step explanation:

Since those 2 arrows are straight lines that go through each other, angles that are opposite are the same. So the opposite of y is 163°.

Write an expression for the area of the shaded region in its simplest form. Show all of your steps. Show your work!

Answers

Answer:

[tex]A=x^2+23x+49[/tex]

Step-by-step explanation:

Hi there!

The area of the shaded region is equal to the area of the big rectangle minus the area of the square.

Area of the big rectangle:

[tex]A=lw\\A=(x+10)(2x+5)[/tex]

Area of the square:

[tex]A=a^2\\A=(x+1)^2[/tex]

Area of the shaded region:

[tex]A=(x+10)(2x+5)-(x+1)^2[/tex]

Expand:

[tex]A=(x+10)(2x+5)-(x+1)^2\\A=2x^2+5x+20x+50-(x+1)^2\\A=2x^2+5x+20x+50-(x^2+2x+1)\\A=2x^2+5x+20x+50-x^2-2x-1[/tex]

Combine like terms:

[tex]A=2x^2-x^2+5x+20x-2x+50-1\\A=x^2+23x+49[/tex]

I hope this helps!

1234567890987654321123456789

Answers

Answer:

1234567890987654321123456789 is the answer

Step-by-step explanation:

and also hey

Question 7 of 10
What is the midpoint of the segment shown below?
10+
O A. (-1,-3)
O B. (-2, -3)
(-11.0)
- 10
(9,-1)
O C. (-2, -1)
- 10
O D. (-1,-1)

Answers

Answer:

A. (-1, -1/2) is the correct answer.

Can someone please help me with this square root problem?

Answers

Answer:

c = 14.9

Step-by-step explanation:

use the pythagorean thereom:

a² + b² = c²

a² = 11 × 11 = 121

b² = 10 × 10 = 100

c² = 121 + 100 = 221

now find the square root of 221:

√221 = 14.866...

round to the nearest tenth:

the 6 next to the 8 means round up.

so the hypotenuse is 14.9

Dave bought a golf club priced at $261.Shipping and handling cost an additional 15% of the price.What was the total cost of the golf club,including shipping and handling?

Answers

Answer:

$300.15

Step-by-step explanation:

The price of the golf club is 100% of its price.

The shipping and handling add 15% of the price.

That means he will pay a total of 115% of the price of the golf club.

115 of $261 = 1.15 × $261 = $300.15

Answer: $300.15

Let f(x)=4x2 6. The function g(x) is f(x) translated 4 units down. What is the equation for g(x) in simplest from? Enter your answer by filling in the box. G(x) =.

Answers

The G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.

What is Function?

A function assigns the value of each element of one set to the other specific element of another set.

The given function can be transformed from the initial position of the new position by subtracting the 4 from the initial function.

We know that in the initial function y=4x²+6, y is the output, while x is the input for the function f(x).

As the G(x) is the new function of the f(x) which is translated 4 units down. therefore,

[tex]G(x) = f(x)-4\\\\G(x) = 4x^2+6-4\\\\G(x) =4x^2+2[/tex]

hence, the G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.

Learn more about Function:

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Calculate the difference between the 10th term and 50th term of the sequence 9,14,19,24, ... ...

Answers

Answer:

Step-by-step explanation:

Number series : 9, 14, 19, 24

First term = a1 = 9

common difference = a2 - a1 = 14 - 9=5

Find the nth term:

an = a1 + + (n - 1)d

an = 9+ (n - 1)(5)

an = 9+5n - 5

an = 4 + 5n

Find the 10th term:

an = 4 + 5n

a10 = 4 + 5(10)

a10 = 4 + 50

a10 = 54

Find the 50th term:

an = 4 + 5n

a50 = 4 + 5(50)

a50 = 254

Find the difference between the 10th and

50th term:

Difference = 254 - 54 = 200

Answer: The difference is 200

Given the data from the question, the difference between the 10th term and the 50th term is 200

What is an arithmetic sequence?

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth terma is the first term n is the number of termsd is the common difference

How to determine the 10th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 1010th term (T₁₀) =?

Tₙ = a + (n – 1)d

T₁₀ = 9 + (10 – 1)5

T₁₀ = 9 + (9)5

T₁₀ = 9 + 45

T₁₀ = 54

How to determine the 50th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 5050th term (T₅₀) =?

Tₙ = a + (n – 1)d

T₅₀ = 9 + (50 – 1)5

T₅₀ = 9 + (49)5

T₅₀ = 9 + 245

T₅₀ = 254

How to determine the difference 50th term (T₅₀) = 25410th term (T₁₀) = 54Difference =?

Difference = T₅₀ – T₁₀

Difference = 254 – 54

Difference = 200

Learn more about arithmetic sequence:

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What is the process where cells divides and replace old or damaged cells?
chromosomes
mitosis
photosynthesis
cell theory

Answers

Answer:

The answer is chromosomes.

50 Points
Show your steps of the conversion of the decimal numbers write in your own steps.

1. 3



2. 8



3. 15



4. 18



5. 33



6. 49



7. 64


8. 108


9. 251

Answers

[tex]\\ \tt\longrightarrow 3=\dfrac{3}{10}=0.3[/tex]

[tex]\\ \tt\longrightarrow 8=\dfrac{8}{10}=0.8[/tex]

[tex]\\ \tt\longrightarrow 15=\dfrac{15}{100}=0.15[/tex]

[tex]\\ \tt\longrightarrow \dfrac{18}{10}=1.8[/tex]

[tex]\\ \tt\longrightarrow 33=\dfrac{33}{100}=0.33[/tex]

[tex]\\ \tt\longrightarrow 49=\dfrac{49}{100}=0.49[/tex]

[tex]\\ \tt\longrightarrow 64=\dfrac{64}{100}=0.64[/tex]

[tex]\\ \tt\longrightarrow 108=\dfrac{108}{100}=1.08=1.1[/tex]

[tex]\\ \tt\longrightarrow 251=\dfrac{251}{1000}=0.251[/tex]

With the baby in his arms, Mr. Greer weighed 180 pounds. Without the baby, he weighed 165 1/2 pounds. How much did the baby weigh?
ANSWERS ASAP!

Answers

Answer:

14.5 Pounds

Step-by-step explanation:

Subtracting 165.5 lb from 180 lb gives you 14.5 lb

if x+b=6 then what is b

Answers

Answer: 3

Step-by-step explanation: 6 is 3 and 3 so b is 3 and x is 3

So
6 = 3 and 3 is b so
3 and x is 3
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