Solve: log2(3x 8) = 5 which is an equivalent equation? 25 = 3x 8 52 = 3x 8 25 = [log2(3x 8)]2 52 = [log2(3x 8)]5

Answer:

[tex]y = \frac{1}{8}x -7[/tex]

Step-by-step explanation:

Find the slope using (8, -6) and (-8, -8):

[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]

[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]

Now, we use either of our points (8, -6) OR (-8, -8) to find b.

I will be using (8, -6):

[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]

[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]

Check your answer manually: (-8, -8)

[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!

Answer:

x = 6

Step-by-step explanation:

8(2x – 14) + 13 = 4x – 27

Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)

First, distribute 8.

8(2x – 14)

[tex]8*2x=16[/tex]

[tex]8*-14=-112[/tex]

So now our equation is:

16x – 112 + 13 = 4x – 27

Now we can add. We will add 13 to -112.

[tex]-112 +13=-99[/tex]

Now our equation looks like this:

16x – 99 = 4x – 27

Now we have to try to get the variable (x) on one side of the equation.

To do this, we will subtract 4x from both sides of the equation.

16x – 99 = 4x – 27

-4x            -4x

12x - 99 = -27

Now we can add 99 to -27.

[tex]99 + (-27) = 72[/tex]

Now we have

12x = 72

Our last step is to divide both sides by 12:

[tex]\frac{12x}{12}= \frac{72}{12}[/tex]

We get x = 6.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Step-by-step explanation:

A.

8(2x – 14) + 13 = 4x – 27

Step 1: Distribute 8, meaning multiply 2x and -4 using 8

8(2x – 14)

8(2x) + 8(-14)

16x - 112

New equation:

16x - 112 + 13 = 4x – 27

Step 2: Add any numbers or like terms:

16x - 112 + 13 = 4x – 27

16x - 109 = 4x - 27

New equation:

16x - 99 = 4x - 27

Step 3: Isolate the variable on one side

16x - 99 = 4x - 27

-4x           -4x

12x - 99 = - 27

     + 99   + 99

12x = 72

Step 4: Divide both sides by 12

12x = 72

/12    /12

x = 6

B.

Check your answer:

8(2x – 14) + 13 = 4x – 27

8(2(6) - 14) + 13 = 4(6) - 27

8(12 - 14) + 13 = 4(6) - 27

8(-2) + 13 = 24 - 27

-16 + 13 = 24 - 27

-3 = -3

This statement is correct

Therefore, our answer (x = 6) is correct.

Hope this helps!

Answer:

  10 years

Step-by-step explanation:

The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.

__

  I = Prt . . . interest earned on principal P at rate r for t years

  6000 = 1000·0.60·t . . . . use the given values for I, P, r

  6000/600 = t = 10 . . . . divide by the coefficient of t

$1000 will yield an interest of $6000 in 10 years.

noooooooooooooooooooolo

Answer:

Step-by-step explanation:

A

Step-by-step explanation:

Successive magnification:

In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.

Answer:

it should be built at the centre

Answer:

angle C measures 31 degrees.

Step-by-step explanation:

because when they are complementary, the two angles add up to 90 degrees and you know the measure of part of that 90 already, so its as simple as subtracting 90-59=31

Answer:

31

Step-by-step explanation:

complementary angles equal 90

90-59=31

Answer:

an equation that can be used to represent the number of visits needed to earn a free movie ticket is

3.5x+85=120

Step-by-step explanation:

you would multiply 3.5 by the number of visits (x) to determine how many points Julian would have earned in total. you would add 85 to the product of 3.5(x) because he had started with 85 points.

if you want to find how many times Julian would need to visit the movie theater to get a free movie ticket you can subtract 85 from 120, to find out how many visits are necessary before adding the extra 85 points. subtracting that leaves you with 35, and if you divide that by 3.5, the number of points per visit, you are left with 10. Julian would need to visit the theater 10 times before earning a free movie ticket.

if you want to check to see if that's right, you can just do the equation in reverse. rather than 85-120=35/3.5=10, you can do 10*3.5=35+85=120

hope this helps

Hello!

R = D/2

R= 13,8/2 => 6,9cm

The length of the circle's radius is 6.9 cm.

The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.

Given: Diameter (d) = 13.8 cm

Length of radius (r) = d / 2

r = 13.8 cm / 2

r = 6.9 cm

The length of the circle's radius is 6.9 cm.

To know more about radius:

https://brainly.com/question/13449316

#SPJ2

The shop makes 25% profit if the cost price per dress is R280.

answer:

(-7; -5)

step by step

Answer:

No its short 207

Step-by-step explanation:

Took the test on UsaTestPrep got it right :)

Bye loves <3

Answer:

the one b4 is wrong its a surplus of 207 .-.

Step-by-step explanation:

this is correct usatestprep also lol

Answer:

6

Step-by-step explanation:

What is 1 half (1/2) multiplied by (4+8) equal?

1/2*(8+4) <== add the number in the parenthesis

1/2*12 <== multiply the numbers, half of 12 is 6

6 <== final answer

Hope this helps!

6

Step-by-step explanation:

Hope the pic will help

Answer:

C: 4.7

Step-by-step explanation:

Axis of symmetry: -b/2a

a=-16

b=78

-78/2(2(-16))= 4.875 seconds in the air.

Answer:

c

Step-by-step explanation:

The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

The given expression is: [tex]2x^{2} +3x-54[/tex]

A factor is a number that divides another number leaving no remainder.

We can rewrite the given expression as:

[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)

Take 2 as common from first two terms while take -9 as common from last two terms.

[tex]2x(x+6)-9(x+6)[/tex]

Take (x+6) as common

[tex](x+6) (2x-9)[/tex]

So, we got the factors (x+6) and (2x-9)

Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

To get more about factors visit:

https://brainly.com/question/25829061

Answer:

It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).

Answer:

100.32

Step-by-step explanation:

Since the question is asking to INCREASE, you want to multiply 88 by 1.14

This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)

Whenever you want to increase by a percent, you add 100% to the number.

So:

88 * 1.14 =

100.32

Answer:

Rational

Step-by-step explanation:

A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.

Step-by-step explanation:

please mark me as brainlest

Answer:

  10 mm

Step-by-step explanation:

You can find the missing dimension using the triangle area formula with the dimensions you know.

  A = 1/2bh

  40 mm² = 1/2(b)(8 mm)

  b = 40 mm²/(4 mm) = 10 mm . . . . . . . divide by the coefficient of b

The triangle's base is b = 10 mm.

Answer:

D

Step-by-step explanation:

I have done this before
Top row units is 8 i then multiplied both sides so 5*2 which = 10 then multiplied 8*10 to get 80

Answer:

80 square units (D)

Step-by-step explanation:

Base is 16 units, height is 5 units. 16 * 5 = 80

Answer:

113°

Step-by-step explanation:

because supplementary angles add up to 180°

thus if a is 67° then we subtract 67° from 180° and b will be 113°

Answer:

2. |-4| < |-8|

3. |-5| > 1

5. |-2| = |2|

Answer:

2,3,5 are correct

Step-by-step explanation:

i took the test