What is the domain of the following function?

Equivalent equations are equations of equal values

The system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

The logarithmic equation is given as:

[tex]\log_4(x^3) = \log_2(2x)[/tex]

Split the above equation as follows:

[tex]y = \log_4(x^3)[/tex]

[tex]y= \log_2(2x)[/tex]

Rewrite [tex]y = \log_4(x^3)[/tex] as:

[tex]y=3\log_4(x)[/tex]

Hence, the system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

Read more about systems of equations at:

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Answer:

option 1

Step-by-step explanation:

7x + 2 > 58 ( subtract 2 from both sides )

7x > 56 ( divide both sides by 7 )

x > 8

So only values greater than 8 are in the solution set

6 is not greater than 8, then is not in the solution set

Answer:

I think this is what you want:

2(6)-2x=3

We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.

2(6-x)=3

6-x=3/2

-x=-9/2

x=9/2

Answer:

22 + 33 = 55

55 - 44 = 11

hence 11 is the answer

Answer:

11 luv:)

Step-by-step explanation:

Answer:

Distributive Property

Step-by-step explanation:

This is my best guess because you didn't put the topic or give an more information.

Answer:

1.1875

Step-by-step explanation:

19.00/16 is =1.1875

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

Answer: 30000

Step-by-step explanation:

[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]

Answer:

example : 100- 27= 73

Step-by-step explanation:

you take a number and then subtract by the number that you were given. I hope this helps!!

Answer:

27 - x (expression that it can be written as)

Answer:

5. 11 1/12 or 133/12

6. 8/15

Step-by-step explanation:

5. make them have a common denominator and then add

6. multiply 2/3 * 4/5

Answer:

Simple Interest = $542

Compound Interest = $542.88

Step-by-step explanation:

Step-by-step explanation:

[tex] - 20 \: is \: your \: answer[/tex]

To know the solution with Proof

Refer To the above attachment .

Answer:

1.25

Step-by-step explanation:

125/100 = 1.25

Answer:

it's 1.25

Step-by-step explanation:

125 ÷100 = 1.25

Answer:  The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.

Step-by-step explanation:

Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   10x + 36  =   2 • (5x + 18) 

Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:

 5.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

 5.2      Solve  :    5x+18 = 0 

 Subtract  18  from both sides of the equation : 

                      5x = -18

Divide both sides of the equation by 5:

                     x = -18/5 = -3.600

Answer:

y = 2x

Step-by-step explanation:

A direct proportion follows the equation:

y = kx,'where k is the slope.

We see in the graph the points (0, 0) and (1, 2).

The slope is (2 - 0)/(1 - 0) = 2/1 = 2

The formula is y = 2x.

Answer: y = 2x

Answer:

y=2x

Step-by-step explanation:

When using slope intercept find the  slope using either the graph or points on the line and that get you the 2 that in front of x.

the formula means that 2 units of dough are prepared in every hour

Answer: (8, -2)

Step-by-step explanation:

the corner of the triangle which is Q when reflected would end up at (8, -2)

Answer:

(8, -2)

Step-by-step explanation:

Point Q is on (8,2).

The rule for a reflection over the x -axis is:

(x,y) -->(x,−y)

Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).

[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]

Hope this helps.

Answer:

[tex]f(x)\div g(x)=x-10[/tex]

Step-by-step explanation:

[tex]\frac{x^2-19x+90}{x-9}[/tex]

[tex]\frac{(x-10)(x-9)}{x-9}[/tex]

[tex]x-10[/tex]

Answer:

[tex]f(x)\div g(x)=-10[/tex]

Step-by-step explanation:

Solve [tex]f(x)[/tex]

[tex]f(x)=x^2-19x+90[/tex]

[tex]x^2-19x+90[/tex]

[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]

[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]

[tex]=x(x-9)[/tex]

[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]

[tex]=-10(x-9)[/tex]

[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]

[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]

Solve [tex]g(x)[/tex]

[tex]g(x)=x-9[/tex]

[tex]\bold{x-9}[/tex]

[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]

Now, solve:

[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]

[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]

[tex]= -10[/tex]

Therefore, [tex]f(x)\div g(x)=-10[/tex]

Answer:24

Step-by-step explanation:

22+48+11+34+5=120

120/5=24

Answer:

The answer would be A

Step-by-step explanation:

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

you just need to put the values of a and b where they have to be

.

hope I helped!

Answer:

-3; (8, -20)

Step-by-step explanation:

to find the rate of change we do (y2 - y1) / (x2 - x1)

basically we choose 2 points on y and subtract them while using the 2 points on x and subtracting them

after subtracting them we divide change of y by change of x

for this one i chose (3, -5) and (6, -14)

-14 - (-5) = -9

6 - 3 = 3

-9 / 3 = -3

the rate of change is three

to find the y intercept we can use this equation

y = -3x + b

and then plug in things

ill plug in the first set of coordinates

-5 = -3(3) + b

-5 = -9 + b

b = 4

so the y intercept is b

using this equation

y = -3x + 4

we can find out what value y is when the x value is 8

-3(8) + 4 = -20

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

[tex]0.55x[/tex].

The total number of members not wearing glasses, will be

[tex]x - 0.55 x = 0.45 x[/tex].

Now, the no. of members not wearing glasses and in 10th grade will be,

[tex]\frac{0.45x\times30}{100} =0.135x[/tex]

We know that the probability of an event E, P(E) will be,

[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]

So, the probability for no. of members not wearing glasses and in 10th grade will be,

[tex]P(E)=\dfrac{0.135x}{x}[/tex]

[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]

Hence the nearest whole percent of probability is 14%.

For more details on probability follow the link:

https://brainly.com/question/795909

Answer:

  (40, 6000) = 6000 sheets folded in 40 minutes

Step-by-step explanation:

Each point on the graph represents ...

  (minutes, sheets folded)

The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.

Answer:

8-(-8) = 8+8

8-8 = 8+(-8)

-8-(-8) = -8+8

-8-8 = -8+(-8)

10-9 = 10+(-9)

10-(-9) = 10+9

Step-by-step explanation:

Remember that if the signs are equal +,+ or -,- , they are positive (+)

if the signs are different like +,- or -,+ then they are negative (-)

Its 1/-2, or in other words it is -(1/2), so it would be the third option you have there.

Your welcome! :D