What is the solution set to this equation? log₂ (x - 2) + log₂x = 3​

Answers

Answer 1

Let's see

[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]

[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]

[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]

Either x=8

Or

x-2=8x=10

Solution set

x[8,10]


Related Questions


Evaluate 2x-5x+ 12
when x = -2

Answers

Answer:

2(-2)-5(-2)+12

-4-(-10)+12

6+12

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

2(-2)-5(-2)+12

-4+10+12

=18

Hope this helps! ;-)

Given that 5 cos (x+8.5)° - 1 = 0
0° ≤x≤ 90, calculate correct to the nearest degree, the value of x.​

Answers

Answer:

  x = 70

Step-by-step explanation:

To solve for x, use inverse operations to undo the operations performed on x.

__

  5cos(x +8.5)° -1 = 0 . . . . given

  5cos(x +8.5)° = 1 . . . . . . add 1

  cos(x +8.5)° = 1/5 . . . . . divide by 5

  x° +8.5° = arccos(1/5) . . . . take the inverse cosine

  x° = arccos(1/5) -8.5° ≈ 70° . . . . evaluate the expression

The value of x is 70.

13 - 6(2 − 6)² +8 evaluate

Answers

Step-by-step explanation:

______________________

13 - 6 ( 2 - 6 )² + 8

= Solution

= 13 - 6 (- 4 ) ² + 8

Now...remove the negative number...because negative number raise to even powers are positive...

= 13 - 6 × 4² + 8

= 13 - 96 + 8

= 13 + 8 - 96

= 21 - 96

= - 75

Hence the answer is - 75....

[tex]..[/tex]

______________________

Look at the image below. Find the area of the parallelogram.

Answers

Answer:120square unit

Step-by-step explanation:khan

Write an equation in slope-intercept form for the relationship in the table.

Answers

The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.

What is the Slope-intercept Form?

The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:

m = slope = change in y / change in xb = y-intercept.

Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5

Slope (m) = 1

Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):

y - 42 = 1(x - 37)

y - 42 = x - 37

y = x - 37 + 42

y = x + 5

Equation for the relationship in the table is: y = x + 5

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Hhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.

Answer: A

Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph

Graph the function y = x+2+5. Which point lies on the graph?

A-
(-2,5)

B-
(3,6)

C-
(7,6)

D-
(0,5)

Answers

Answer:

A

Step-by-step explanation:

Given equation :

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

Evaluating the options

A (-2, 5)

5 = -2 + 75 = 5Correct!

The art club had an election to select a president.


​75\%75% of the 6060 members of the club voted in the election.

​How many members voted?

Answers

Answer:

45

Step-by-step explanation:

Subtract 60 from 75% and multiply the answer.

What is the formula that relates circumference and radius?
O A. C+ 2 = 21
O B. C = 277 Dr O C. C= 2ter O D. C= 20/1

HELP QUICK!!!!

Answers

Answer:

C = 2πr

Step-by-step explanation:

The circumference of a circle is calculated by the formula here,

C is the circumference of the circle.

r is the radius of the circle.

π is 22/7 or 3.14.

In the given options π is not missing.

Therefore the formula that relates circumference and radius is C = 2πr.

Answer:

C=2πr

Step-by-step explanation:

C =2πr is the formula to calculate circumference of a circle

Where

C=Circumferencer is radiusπ has Approx value 3.141

If you have 2 cups and need 2tbsp how many servings can I get from the 2 cups

Answers

Answer:

16 servings

Step-by-step explanation:

there are 16 tablespoons in one cup so 16+16 is 32. then you divide that by 2 or you get 16 servings

Select the correct answer.
Solve for x.
x-2x-24 = 0

Answers

Answer:

x = -24

Please mark brainliest :)

Answer

-24

Step-by-step explanation:

Shreya has 40 pairs of shoes stacked in boxes.

If a pair is 2 shoes, how many shoes does Shreya have?

Answers

Answer:

80 shoes

Step-by-step explanation:

sin e a pair is 2 shoes,

Shreya has 40×2shoes

= 80 shoes

therefore, Shreya has 80 shoes

40 x 2

=80 shoes

(We now have school systems which force students to study maths and, through enough exposure, our brains can learn to think mathematically. But if those skills cease to be used, the human brain will quickly return to factory settings...- Matt Parker )

Please help u need help ASAP

Answers

Answer:

I Think its fed

Step-by-step explanation:

Calculate no.between 2 and 2.5

Answers

Answer:

√5 is the answer

Why does it coats $18 per hour ?

Answers

Would you pay $1,200 for a winter coat? Moncler, the luxury clothing company, is wagering that enough people will keep them in business, and it appears that they are correct. During the holiday shopping season, there were lineups and a bouncer outside the company's New York City store, according to Bloomberg's Olivia Sterns, with consumers unfazed by price tags far over $1,000 for Moncler's basic, iconic jacket. In 2012, the firm sold more than €489 million ($668 million) in product worldwide. Americans contributed €48.7 million ($66.5 million) to the total. According to a 2010 Reuter's article, outerwear like that $1,200 jacket accounts for 97 percent of the company's revenue.

Solve with substitution.

-3y = x
-8x + 2y = 26

Answers

Using substitution
x=-3
y=1

Which table of values was used to create the scatterplot below? A graph titled Fundraiser Amounts has Day of Fund Drive on the x-axis and Money Raised (dollars) on the y-axis. Points are at (1, 200), (2, 300), (3, 200), (4, 400), (5, 300). A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 400, 200, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 300, 400. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 200, 300, 400, 300.

Answers

The table of values used to create the scatterplot below is:

Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300

Which table of values was used to create the scatterplot below?

The graphs x axis represents the Day of Fund Drive and  y axis represents Money Raised.

The ordered pairs from the plot are:

(1, 200), (2, 300), (3, 200), (4, 400), (5, 300)

Therefore, the table of values used to create the scatterplot below will be:

Day of Fund Drive      Money raised (dollars)

1                                           200

2                                          300

3                                          200

4                                          400

5                                          300

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Answer:

C.

Step-by-step explanation:

Edge 2023

Does this app offer tutoring for college algebra?

Answers

u could try the tutoring section of this app. it’s called brainly tutor

Kasha has a spinner divided into 8 equal sections that are labeled 1 though 8. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7,5, 3, 4, 1,5}
Drag and drop the answers into the boxes to correctly complete the sentences
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
3
5
greater than
less than

Answers

The theoretical probability = [tex]\frac{1}{2}[/tex], The experimental probability  = [tex]\frac{3}{5}[/tex]

Less than

What is experimental probability?

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The theoretical probability of spinning and odd number = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

The experimental probability =[tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

Since  [tex]\frac{1}{2}[/tex]<  [tex]\frac{3}{5}[/tex]

So, the theoretical probability less than the experimental probability.

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If a 714-mile trip takes 17 hours, the average speed is?

Answers

Answer:

42 mph

Step-by-step explanation:

brainliest/crown please :)

help will mark Brainliest​

Answers

Answer:

Your answer is B.

Step-by-step explanation:

n>0 means n is greater than 0.

It is an open circle that is pointing to the right for positive values greater than 0.

Answer:Try B.

Step-by-step explanation:

GIVING BRAINLIEST
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
A. 0
B. 1
C. 2
D. 4
E. infinitely many

Answers

Answer:

Hey!

Your Answer Would Be Option E!

Infinitely Many.

This Is Because:

Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!

Step-by-step explanation:

ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)

Answers

Answer:

267.95 cubic meters

Explanation:

volume of sphere: (4/3)π(radius)³

Here given:

radius: 4 meter

Volume:

(4/3)π(radius)³

insert values

(4/3)(3.14)(4)³

simplify

(4/3)(3.14)(64)

final answer

267.95 cm³

Answer:

V = 267.95

Step-by-step explanation:

The equation to find the volume of a sphere is:

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

r = radius

In the diagram of the question it shows that the radius is 4 m. Plug this into the equation:

[tex]V=\frac{4}{3} (3.14) (4)^{3}[/tex]

Use a calculator to find the answer and then round to two decimal points:

V = 267.95

Hope this helps!!

You spin the spinner twice.
5
2
4
3
What is the probability of landing on a number less than 3 and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit

Answers

Step-by-step explanation:

remember, a probability is always desired cases over possible cases.

and the combination of the probabilities of two (or more) events means to multiply these probabilities.

the probability to get a specific number on the spinner is 1/4 (1 desired number over 4 possible numbers).

so, to get first a number less than 3 ... - that means, the only desired outcome is the number 2.

so,

1/4

to get 5 on the second spin ?

again,

1/4

the combination of both events into one delivers the probability of

1/4 × 1/4 = 1/16

how many circular tiles are needed for pattern 20

Answers

What pattern are you talk about

Find (-18) + (-15) + 10. O 7 O-43 O-23 O-13​

Answers

Answer:

O-23

Step-by-step explanation:

Yes yes yes yes yes yes yes yes yes

Answer for x?
Helppp

Answers

Answer:

x = 7

The length of the side is 18

Step-by-step explanation:

40 / 16 = 2.5

meaning the shape is dilated by 2.5

45 / (2x + 4) = 2.5

→ multiply both side by the denominator

45 / (2x + 4) * (2x + 4) = 2.5 * (2x + 4)  

→ simplify

45 = 2.5 * (2x + 4)  

→ divided both side by 2.5

45 / 2.5 = 2.5 * (2x + 4)  / 2.5

18 = 2x + 4

→ subtract 4 from both sides (want x alone)

18 - 4 = 2x + 4 - 4

14 = 2x

→ divid both side by 2

14 / 2 = 2x / 2

7 = x

Plug in x:

2x + 4 = 2(7) + 4

14 + 4 = 18

7=x
Divide the both sides by 2

Which graph represents a circle whose equation is (x+3)² + (y-1)² = 4?

Answers

Answer:

A

Step-by-step explanation:

Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2

(x0, y0) is the centrer is short for radius

The given equation is: (x + 3)^2 + (y - 1)^2 = 4

=> (x - (-3))^2 + (y - 1)^2 = 2^2

Coordinates of the centre: (-3, 1)Radius: 2

Therefore, the answer is A.

If B is 60% more than A, then A is
A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B

Answers

Answer:

37.5% less than B

Step-by-step explanation:

It is given that B is 60% more than A.

A (160%) = BA = B / (160%)A = B / (8/5)A = 5B/8A = 0.625BA = (62.5%) B

Since A is 62.5% of B, it is 37.5% less than B.

Answer:

A. 37.5% less than B

Step-by-step explanation:

We can write an equation to model this:

B being 60% more than A means that:

B=0.6A+1A

B=1.6A

Let's isolate A.

A=B/1.6

Multiply the top and bottom by 10 to get whole numbers

A=10B/16

Simplify

A=5B/8

5/8 = 62.5%

A=0.625B

Therefore, A is 62.5% of B

This means that A is 37.5% less than B.

Factor: 2n2 - 11n + 15

Answers

Answer:

(2n-1)(n-5)

Step-by-step explanation:

2n2-11n+5

2n2-10n-1n+5

(factorize)

2n(n-5)-1(n-5)

(2n-1)(n-5)

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