Which of the following shows the true solution to the logarithmic equation solved below? log subscript 2 baseline (x) = log subscript 2 baseline (x 7) = 3. log subscript 2 baseline left-bracket x (x 7) right-bracket = 3. x (x 7) = 2 cubed. x squared 7 x minus 8 = 0. (x 8) (x 1) = 0. x = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8

Answers

Answer 1

The value which shows the true solution to the logarithmic equation solved below is 1.

What is domain and range of function?

Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

The given logarithmic equation is,

[tex]\log_2x+\log_2(x+7)=3[/tex]

Use the addition property of log in above expression.

[tex]\log_2[x\times(x+7)]=3[/tex]

Use the power rule property of log in above expression.

[tex][x\times(x+7)]=2^3\\x\times(x+7)=8\\x^2+7x-8=0[/tex]

Solve the quadratic equation with the help of split the middle term method,

[tex]x^2+8x-1x-8=0\\x(x+8)-1(x+8)=0\\(x+8)(x-1)=0\\x=-8,1[/tex]

Here, the two values of variable we get. One is positive and another is negative. As the logarithmic function is defined only for positive real number as its input.

Thus, the value which shows the true solution to the logarithmic equation solved above is 1.

Learn more about the domain and range of the function here;

https://brainly.com/question/2264373

Answer 2

Answer:

1

Step-by-step explanation:

edge 2022


Related Questions

Completing proofs involving linear pairs.

Answers

Answer:

Try a,d,b,a

Step-by-step explanation:

I agree with the guy above me

The sum of two
numbers is 184 and
their difference is 2.
find the two numbers.

Answers

Answer:

128 and 56

Step-by-step explanation:

to confirm this, you can add both numbers. 128+56 which equals to the answer, which is, 184!

The length of a movie is 1 hour 45 minutes. Mary has already watched the first 55 minutes.
How many more minutes does the movie last? Which equation did you use to find the answer

Answers

Answer:

50 minutes left

Step-by-step explanation:

1 hour is 60 mins

60 mins+45mins=105 mins

105-55=50

50 mins left

Answer:

50 minutes remaining in the movie

Step-by-step explanation:
1 hour= 60 minutes 

+45 minutes 

----------------------

105 minutes in movie total

- 55 minutes watched 

----------------------

50 minutes remaining in the movie

questions in picturessss

Answers

Answer:

Question 4: C

Question 5: 26

Question 3: 560

Step-by-step explanation:

Students at the college are allowed to work on campus no more than 20 hours per week. The jobs that are available pay different rates, starting from $8.75 an hour. Students can earn a maximum of $320 per week.

Write at least two inequalities that could represent the constraints in this situation. Be sure to specify what your variables represent.

Type your response in the space below.

Answers

Answer:

help me

Step-by-step explanation:

What is the completely factored form of xy3 – x3y?
xy(y + x)(y – x)
xy(y – x)(y – x)
x y (x minus y) (x squared + x y + y squared)
x y (x minus y) (y squared + x y + x squared)

Answers

Answer:

[tex]xy(y+x)(y-x)[/tex]

Step-by-step explanation:

Given expression:

[tex]xy^3-x^3y[/tex]

Factor out the common term [tex]xy[/tex]:

[tex]\implies xy(y^2-x^2)[/tex]

Apply the Difference of Two Squares formula   [tex]a^2-b^2=(a+b)(a-b)[/tex]:

[tex]\implies xy(y+x)(y-x)[/tex]

Answer:

A

Step-by-step explanation:

In the figure below, which answer choice correctly identifies the name of two line segments?


A.
B.
C.
D.

Answers

Answer:

C.

Step-by-step explanation:

A line segment has a bar above with no arrow heads.

Answer: C.

QP PQ the answer would be C

Solve for r.

6+ -6 = r

What’s r?

Answers

Answer:

0

Step-by-step explanation:

PLEASE HELP 30 points
Select the correct answer.
Simplify the expression.
$768x845
OA. 4x2y $34
B. 4x2y2 3x2y
O c. 2xy2 +2x
OD. 4r3y +3.72
Reset

Answers

Answer:

A

Step-by-step explanation:

Given expression:

[tex]\sqrt[4]{768x^8y^5}[/tex]

Using rule [tex]\sqrt{ab} =\sqrt{a} \cdot \sqrt{b}[/tex]

[tex]=\sqrt[4]{768}\cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Prime factorization of 768:

[tex]=\sqrt[4]{2^8\cdot3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Using rule [tex]a^{b+c}=a^ba^c[/tex] :

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^{4+1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4y^1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4} \cdot\sqrt[4]{y}[/tex]

Using rule [tex]\sqrt[a]{b^c} =b^{\frac{c}{a}}[/tex] :

[tex]=2^{\frac84}} \cdot \sqrt[4]{3} \cdot x^{\frac84}\cdot y^{\frac44} \cdot \sqrt[4]{y}[/tex]

[tex]=2^2 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

[tex]=4 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

Gather like terms:

[tex]=4 \cdot x^2\cdot y\cdot \sqrt[4]{3} \cdot \sqrt[4]{y}[/tex]

[tex]=4x^2y \sqrt[4]{3y}[/tex]

2+2=
XD
just points
WRITE EVERYTHING

Answers

Answer:

2+2=4, because 2 is made up of two ones and theres 2 2's which makes it 1+1+1+1=4

Step-by-step explanation:

Answer:

2 + 2 = 4.

Step-by-step explanation:

2 plus 2 is equal to 4.

You move 2 spaces to the right on a number line:

2 -> 3 -> 4

Therefore, 2 + 2 = 4.

I hope this helps!

12+6÷4-3=

what's the answer?​

Answers

Answer:

first, you would divide because P.E.M.D.A.S. so 6/4=1.5 then you would add 12 making it 13.5 and -3 is 10.5

Step-by-step explanation:

mr clean

Answer:

10.5

Step-by-step explanation:

Using PEMDAS,

12 + 6 / 4 - 3

12 + 1.5 - 3

13.5 - 3

= 10.5

Four plus twice a number

Answers

Answer: 2x + 4

Step-by-step explanation:

Answer:

4 + 2x

Step-by-step explanation:

Let x be the number:

Four plug = 4 +Twice a number: 2xPut them together: 4 + 2x

I hope this helps!

Ariana charges $15 per ticket for a meet-and-greet plus $5 for parking. Due to a flu, she can only have at most 5 people attending. The total cost is a function of the number of people attending and is modelled by y = 15x + 5. What is a possible domain for this situation?

Answers

Answer and  explanation:

Possible domain of function includes from number one person attending to number 5 person attending

Find attached

WILL GIVE BRAINLIEST!!!!!this stop sign is a regular octagon. The length of one side is 8 inches and the length of the apothem is 9 inches. Find the area of the stop sign.

Answers

Answer:

A≈309.02

Step-by-step explanation:

A=2(1+square root of 2)a^2

Which of the following are exterior angles? Check all that apply.
4
6
5
U A. 25
I B. 26
OC. 21
D. 24
O E. 22
F. 23

Answers

The angles that are exterior angles in the given diagram are:

A. ∠5

B. ∠6

E. ∠2

F. ∠3

What is an Exterior Angle?

An exterior angle can be described as an angle that is formed between the side of a polygon and the adjacent side that extends out of the polygon.

From the image given, ∠2, ∠3, ∠5, and ∠6 are angles formed between a side of the triangle and an extended side.

Therefore, the exterior angles are:

A. ∠5

B. ∠6

E. ∠2

F. ∠3

Learn more about exterior angles on:

https://brainly.com/question/2546141

#SPJ1

If you spin the spinner 100 times, how many times do you expect it to stop at 8?

Answers

Answer:

1/100 times because for every time it spins, then it will land on 8 at least 1/100 times.

Find the Perimeter of the figure below, composed of a square and four semicircles. Rounded to the nearest tenths place​

Answers

Answer:

[tex]p = 37.6991118431[/tex]

Step-by-step explanation:

the perimeter of a half circle:

[tex]\pi r = \frac{d}{2} \pi = 3\pi = 9.4247779608[/tex]

there's the total of 4 half circle:

[tex]p = 9.42477796078 \times 4 =37.6991118431[/tex]

In a sale a bed originally priced at $30 000
was reduced by 20%.
At the end of the week this sale price
was reduced by 10%.
What is the new selling price of the bed?

Answers

The answer is 5508 percent

x-4=12 What IS The Answer

Answers

Answer:

x = 16

Step-by-step explanation:

Add 4 to both sides, in order to isolate x:

x - 4 = 12

x = 16

So, x = 16

2(5x + 3x2 -4) - (6x - 9)

Answers

Answer: X=3

Step-by-step explanation:

and the answer to the problem is 4x+13

Answer: 4x+13



Solution Steps

2(5x+3×2−4)−(6x−9)

Multiply 3 and 2 to get 6.

2(5x+6−4)−(6x−9)

Subtract 4 from 6 to get 2.

2(5x+2)−(6x−9)

Use the distributive property to multiply 2 by 5x+2.

10x+4−(6x−9)

To find the opposite of 6x−9, find the opposite of each term.

10x+4−6x−(−9)

The opposite of −9 is 9.

10x+4−6x+9

Combine 10x and −6x to get 4x.

4x+4+9

Add 4 and 9 to get 13.

4x+13

A cell phone plan charges a base fee of $65 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and G represents the total amount of gigabytes of data. What equation could represents this plan when more than 2 gigabytes are used

Answers

Answer:C =$65 + $30G

Step-by-step explanation:

Given that :

Base fee charge = $65

Overage charge = $30 / per gigabyte for data that exceeds 2 gigabyte

C = cost ; G = total amount of gigabyte

Equation to represent plan; if more than 2 gigabyte are used :

Cost (C) = Base charge + (average charge * amount of gigabyte)

C = $65 + ($30 * G)

C =$65 + $30G

Based on the lengths of the segments in the ellipse below, how long is the major axis of the ellipse? Show your work.

Answers

Check the picture below.

the distances d1 and d2 are for this ellipse 7 and 3 respectively, keeping in mind that their sum is always the same, namely d1 + d2 is always the same 10 no matter where on the ellipse you move the point, notice in the picture, if we move d1 to the extent that lies flat right on top of d2, we have the length of d1 in purple, plus the length of d2, which we later colored in darkyellow, if we move d2 to the right-hand-side or the tail of d1, we'd end up with the ellipse's major axis, which is oddly enough, d1 + d2.

2x+2x+2=4x+2 what does it equal

Answers

Answer:

4x+2=4x+2

Step-by-step explanation:

A triangle has sides with lengths of 6 feet, 16 feet, and 17 feet. Is it a right triangle?

Answers

No it isn’t a right triangle

Answer:

No.

Step-by-step explanation:

This is not a right triangle. Use the Pythagorean Theorem, [tex]a^{2} + b^{2}=c^{2} \\[/tex], but write it as [tex]c^{2}= a^{2}+b^{2}[/tex]. The hypotenuse would be 17 feet, so you can insert 17 as [tex]c^{2}[/tex]. [tex]a[/tex] and [tex]b[/tex] could be 6 or 16. It can be written either way. The simplified equation would be:

[tex]c^{2}=a^{2} +b^{2} \\17^{2} = 6^{2} + 16^{2} \\17^{2} = 36+ 256\\17^{2}= 292\\289\neq 292[/tex]

This isn't a right triangle.

I hope this helped :)

Keisha's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 41 liters. What are the possible numbers of minutes Keisha could add water? Use t for the number of minutes. Write your answer as an inequality solved for t.

Answers

Answer:

7≥t

Step-by-step explanation:

The tank already has 13litres of water in it.

Keisha plans on increasing the quantity of the water to 41 litres. Hence,

41 litres - 13litres = 28litres

The above implies that she needed 28litres to be added to the fish tank.

She adds 4 litres per minute

Now, the question can now be reframed as how many minutes will be needed to add 28litre.

Considering to proportion method

4litres = 1 minute

28litres = t minutes

4litres × t minutes = 28litres

t = 28/4

t = 7 minutes

Hence, at least 7 minutes will be needed to increase the quantity of the tank water from 13litres to 41litres

But since we are to write the answer in an inequality form.

41≥ 13+4t

Solve for t

41≥13+4t

41-13≥4t

28≥4t

Divide both sides by 4

28/4≥4t/4

7≥t

Find the meadin for these job salaries

Answers

[tex]Answer:[/tex]

The median is $[tex]40,000[/tex]

To find a median, find the averaging number, rather the middle number.

The middle number will always be your answer.

$40,000 is the answer for the median

Which of the following rational numbers is equal to 3 point 1 with bar over 1 ? (5 points) 22 over 9 , 24 over 9 , 26 over 9 , 28 over 9 a 22 over 9 b 24 over 9 c 26 over 9 d 28 over 9

Answers

Answer:

C

Step-by-step explanation:

Just got an A+ everything right

what is the value of X

Answers

Answer:

40

Step-by-step explanation:

the difference of 7 and the product of 4 and a is 11

Answers

Answer:

7 - 4a = 11

Hope this helps!

PLS HELP 100POINTS BRAINLIEST

Answers

Answer: A Draw and label a net for the pyramid

Step-by-step explanation:

Because I know

how to do this stuff

#b

Area of triangle:-

1/2BH1/2(8)(10)4(10)40mm²

Area of 4 triangles=40(4)=160mm²

Area of base:-

8²64mm²

TSA:-

64+160224mm²
Other Questions
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This was the most important way he kept himself informed about the hundreds of things happening in the fledgling nation. Unfortunately, when the government clerks had panicked and dashed from Philadelphia, they had abandoned all papers and records in boarded-up houses. No one knew where these documents were; and no one was willing to risk his or her life wandering, through the infected city in search of them.What conclusion does the cause-and-reflect relationship in this passage support?Washington lacked the information he needed to govern effectively.Washington got information in other ways so he could govern effectively.Washington was so angry at the clerks that he did not govern effectively.Washington was too frustrated by his missing papers to govern effectively.Mark this and return If the early bird gets the worm, why do good things come to those who wait? 3. 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Europe to Asia land routes not mapped European traders got lost Spanish explorers accidentally find Texas Europe to Asia land routes not mapped European traders got lost Spanish explorers accidentally find Texas Europeans search for sea routes to Asia Spanish come to the Americas Spanish conquistadores explore Texas Europeans search for sea routes to Asia Spanish come to the Americas Spanish conquistadores explore Texas Ottomans force traders to go by sea to Asia Columbus makes contact with the Karankawa Spanish settlers move to Texas Ottomans force traders to go by sea to Asia Columbus makes contact with the Karankawa Spanish settlers move to Texas European traders lack navigation tools to travel by land to Asia go by sea instead Spain discovers Texas A dog is tied to a stake in the ground and runs around in a circular pattern. His running section is a circle with a diameter of 15 feet. In terms of pi, what is the area of the section that the dog runs? 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