27x9^3x can be written in the form 3^k where K is an expression in terms of x. Find k

Answers

Answer 1

Answer:

k = 3 + 6x

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

27 × [tex]9^{3x}[/tex]

= 3³ × [tex](3^{2}) ^{3x}[/tex]

= 3³ × [tex]3^{6x}[/tex]

= [tex]3^{3+6x}[/tex]

= [tex]3^{k}[/tex] → with k = 3 + 6x


Related Questions

I'm not sure what to do about this problem, so please help me out.

Answers

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   

"A square is a rectangle with four congruent sides" (write this statement in each of the forms below)
O hypothesis
O conclusion
O conditional
O inverse
O Converse
O contrapositive
O and biconditional ​

Answers

Answer:here

Step-by-step explanation:

here is the key

Plzz help!!

Are the two triangles below similar?
(6 points)

1) No, because the corresponding sides are not proportional

2) Yes, because the corresponding sides are proportional

3) No, because there are not two pairs of congruent corresponding angles

4) Yes, because there are two pairs of congruent corresponding angles

Answers

Answer:

Step-by-step explanation:

Yes plzz give me brainliest

It is B your welcome !!!

Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.

Answers

Answer:

Yes it is,

Step-by-step explanation:

Degree 1 (Exp 1) and it has 2 elements (2X and 1)

Find the hypothesis for side a 16 side b 20

Answers

I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following

a^2 + b^2 = c^2

16^2 + 20^2 = c^2

256 + 400 = c^2

656 = c^2

c^2 = 656

c = sqrt(656)

c = sqrt(16*41)

c = sqrt(16)*sqrt(41)

c = 4*sqrt(41)

The hypotenuse is exactly 4*sqrt(41) units long

This is approximately 25.612 when you use your calculator.

A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?

Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction

StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half

Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1

Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth

Answers

Answer:

B

Step-by-step explanation:

i got it right

Factor 3x^2 + 7x + 2

Answers

Answer:

(x+2)(3x+1) are the factors

Answer:

(3x+1)(x+2)

Step-by-step explanation:

I don't know how to explain it but that's what I got.

I hope it's right!

Will give brainliest if correct.

Answers

Answer:

The x-intercept is 4,0. The y-intercept is 0,2.

Step-by-step explanation:

when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.

Have a nice day!

X-intercept = (4,0)
Y-intercept = (0,2)

To find the x intercept make y = 0
5x + 10(0) = 20
5x = 20
x = 4
So (4,0)

To find the y intercept make x = 0
5(0) + 10y = 20
10y = 20
y = 2
So (0,2)

I really need help on this ASAP

Answers

first is b 2. b 3. c

1.- (A^2-6a+4)/(2a)
2.- (2b^2+b-8)/(2b)

Answers

Answer:

ok

Step-by-step explanation:

NEED YOUR HELP ASAP!!!!!

Carey correctly graphs a linear function. The slope of the functions is -1. The y-intercept is 3. Which is carey's graph?

Answers

Answer: You didn't show us the graphs so we can't tell you.

Step-by-step explanation:

What is the simplified value of the expression below?

12.4 x (negative 6.3)

Answers

Answer:

78.12

Step-by-step explanation:

Answer:

78.12

Step-by-step explanation:

A charm bracelet costs $65, plus $25 for each charm, write an equation in standard form that represents the total cost y of a bracelet that has x charms please help!

Answers

Answer: , y = 65+25x

Step-by-step explanation:

Let x = Number of charms

Given : Fixed cost of bracelet = $65

On addition , cost per charm = $25

Total cost of bracelet = Fixed charge + (Charge per charm)  x (number of charm)

If y= total cost.

Then, y = 65+25x , which is the required equation.

7 1/8 convert into a decimal and put the steps

Answers

Answer:

Step 1: Multiply the whole number by the denominator: 7 × 8 = 56.

Step 2: Add the product you got in Step 1 to the numerator: 56 + 1 = 57.

Step 3: Divide the sum from Step 2 by the denominator: 57 ÷ 8 = 7.125.

Step-by-step explanation:

Answer:

7.125

Step-by-step explanation

Whats the vertex of this question​

Answers

Put a picture up So we can see what you’re talking about

Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!

Answers

If it’s an angle I think 90% but if not maybe 24 all around

Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.

Answers

The input would be 7
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7

Does this graph represent a function? khan academy

Answers

Answer:

yes

Step-by-step explanation:

its a graph

Answer:

No

Step-by-step explanation:

It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.

Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 1.67.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 16.7.

Answers

Answer:

Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75

The value of 45 percent of 75 is 33.75 and this can be determined by using the unitary method and the given data.

Given :

Number  ---  75

The following steps can be used in order to determine the 45 percent of 75:

Step 1 - The unitary method can be used in order to determine the 45 percent of 75.

Step 2 - According to the given data, the given number is 75 which is 100%.

Step 3 - So, if 100% is 75 then the value of 45% is:

[tex]=\dfrac{45}{100}\times 75[/tex]

Step 4 - Simplify the above expression.

= 33.75

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/5777130

Help me I will give u brainlest

Answers

Answer:

(4,0)

Step-by-step explanation:

plz give brainliest!

Answer:

4,0

Step-by-step explanation:

PLEASE HELP! FIRST TO ANSWER AND I'LL MATK YOU BRAINLIEST! I MEAN IT"S ONLY 7TH GRADE MATH!!!!!!
an antelope running started and covered 1,110 feet in 15 seconds. what is the antelopes speed in feet per second. plz show your work.

Answers

speed= distance/time

= 1110/15
= 74 feet per second

Simplify the expression

Answers

Answer:

             f(x) = x - 6             g(x) = x - 5

Step-by-step explanation:

[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]

Hi! Can someone answer and explain how you got that answer? I’m practicing for the asvab, if you can explain in the most simplified way, it’d be much appreciated

Answers

Answer:

D.)

Step-by-step explanation:

multiply every side by 5 since it's a square each side is equal!

Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?

Answers

Answer:

 CAN YOU MARK ME BRAINLIEST ??

The answer is 1/8 candy left!!

Step-by-step explanation:

3/4=6/8 because x2.

6/8-5/8= 1/8

Answer:

1/8 of the jelly beans

Step-by-step explanation:

You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8

1. What is -2y + 10 + 2y - 8 simplified?

Answers

Answer:

2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

-2y + 10 + 2y - 8

Step 2: Simplify

Combine like terms (y):                         10 - 8Combine like terms (constants);           2

Answer:

Step-by-step explanation:

-2y + 10 + 2y - 8 = 20 - 8 = 2

Simplify this please (multi choice)

Answers

3 2/3 = 3x3=9+2=11/3
4 2/5= 4x5=20+2=22/5

Evaluate the expression below if m=-4, n= 3, and p=12

Answers

Answer:

26

Step-by-step explanation:

m=-4

n=3

p=12

m^2n+9p/√np

-4^2*3+9*12/√3*12

16*3+108/√36

48+108/√36

156/6

=26

I need help on this question

Answers

Answer : I’ll say it’s B.
If it’s wrong sorry. I tried.
The correct answer would be B. If you divide by three on triangle A’B’C’ you would get triangle ABC

A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit

Answers

1.17 is the answer. Divide 4.78 by 4.

What is the sales tax on a $14,500 truck if the tax rate is 9%? (not the total cost)

Answers

Answer:

$1,305

Step-by-step explanation:

14500x0.09=1,305

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