simplify the expression

Answer:

8/7

Step-by-step explanation:

Correct Question: Find the simplified product: [tex] \sqrt{2x^3}*\sqrt{18x^5} [/tex]

Answer:

[tex] 6x^4 [/tex]

Step-by-step explanation:

Based on the rules of radicals, since [tex] \sqrt{2x^3} [/tex] and [tex] \sqrt{18x^5} [/tex] has the same index (square root), therefore:

[tex] \sqrt{2x^3}*\sqrt{18x^5} = \sqrt{2x^3 * 18x^5} [/tex]

To simplify this, multiply their bases together, and add their exponents.

[tex] = \sqrt{2*18x^{3+5} [/tex]

[tex] = \sqrt{36x^{8} [/tex]

Simplify further

[tex] = \sqrt{36}*\sqrt{x^8} [/tex]

[tex] = \sqrt{6*6}*\sqrt{x^4*x^4} [/tex]

[tex] = 6x^4 [/tex]

Answers For Entire Assignment:

--> Page 1: D, C

Page 2: B, C

Page 3: D

Page 4: B

Page 5: A, C

Page 6: B,C

Trust The Milk. Get that 100.

2481.7

         ^ is the tenth place.

The 5 would either round it up or down by one-tenth. Since we like big numbers... we'll round it to 7 from 6.

Answer:

2481.7

Step-by-step explanation:

Find the number in the tenth place

6

and look one place to the right for the rounding digit

5

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

Use exponent rule: x^-y = 1/x^y

6^-3

= 1/6^3

= 1/216

Best of Luck!

Answer:

A. 3

B. 3/4

C. 1/4

Step-by-step explanation:

1/4 of 12 is 3

3 plus 6 is 9 and 9 is 3/4 of 12

12 minus nine is also three leaving the tank still a 1/4 tank empty

Answer:

i think... a d and e?

Step-by-step explanation:

Answer:

B. Vertical Compression

Step-by-step explanation:

You've answered the question; However, I'll assist with the explanation;

Given

Original: [tex]y = 72\sqrt x[/tex]

Translated: [tex]y = 9\sqrt x[/tex]

Required

Determine the type of transformation applied to the original function

Observing both functions, we notice that [tex]\sqrt x[/tex] is a common factor;

This implies that the function was compressed or stretched along the y axis (vertically)

To determine if its vertical compression or stretch;

We have to divide the translated function by the original function;

[tex]Ratio = \frac{9\sqrt x}{72\sqrt x}[/tex]

[tex]Ratio = \frac{9}{72}[/tex]

[tex]Ratio = 0.125[/tex]

Because 0.125 < 1, then the transformation is a vertical compression

Answer:

B

Step-by-step explanation:

Answer:

one-sixth of 138

Step-by-step explanation:

36÷3=12. 138÷6=23

12<23

Therefore, one-sixth of 138 is greater than a third of 36.

Answer:

D. 720 miles

Step-by-step explanation:

First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.

A map of 720 miles represented by 6 inches.

It is given that 2.5 inches represent 300 miles.

It is required to find the miles represented by 6 inches.

First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.

In  2.5 inches, the map represents 300 miles.

In 1 inch, a map represents 300/2.5 miles which are equal to 120 miles.

So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

Thus in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

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This is the same as -11x+49

=========================================================

Explanation:

1 apple = x dollars

4 apples = 4x dollars, after multiplying both sides by 4

If Jessica buys 4 apples, then she spends 4x dollars.

Jessica has $19, so she'll have 19-4x dollars leftover after buying those four apples.

Similarly, Levi will have 30-7x dollars leftover when buying 7 apples for x dollars each.

Add up the leftover amounts to get...

(jessica's leftovers) + (Levi's leftovers)

(19-4x)+(30-7x)

19-4x+30-7x

(19+30)+(-4x-7x)

49-11x

This is the same as -11x+49 since you can think of 49-11x as 49+(-11x), and we can add two terms in any order we want.

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

An alternative viewpoint

Pool up Jessica's and Levi's amount they start with to get 19+30 = 49 dollars

Jessica buys 4 apples and Levi buys 7 apples. In total, this is 4+7 = 11 apples. At x dollars an apple, they spend 11x dollars. So they'll have 49-11x dollars leftover after buying those 11 apples.

Question 958954: One number is five less than a second number. Five times the first is eight more than two times the second. Find the numbers.

hope this helps!

Answer:

-b^14 i think this is te answer but i am also consused

Answer:

[tex]y=2x-2[/tex] and image of (0,3) is (1,0).

Step-by-step explanation:

From the given graph it is clear that the line of Nolan Street passes through the points (0,-2) and (1,0).

So, the equation of Nolan Street is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{0-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=2x[/tex]

[tex]y=2x-2[/tex]

So, the equation of the Nolan Street is [tex]y=2x-2[/tex].

It is given that the cartographer translates points on line m along the vector <1, −3> to draw Nolan Street. So, the rule of translation is

[tex](x,y)\to (x+1,y-3)[/tex]

The image of (0, 3) in this situation.

[tex](0,3)\to (0+1,3-3)=(1,0)[/tex]

The image of (0,3) is (1,0).

Answer: REMEMBER TO RATE 5 STARS AND GIVE ME A HEART, THANKS!!!

The High Shcool Basketball team played a total of 25 games.

Step-by-step explanation:

You take the 9 from the games they won last season and divide it by .36 and that will give you the answer of 25. So 25 is the total games the "High School Basketball Team" won. If you want to double check your answer you can take the answer of 25 and times it by .36 which will equal 9.

Greetings from Brasil...

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

Answer:

Step-by-step explanation:

B

The correct graph of the function is shown in option (B).

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

The given function is,

f(x) = y = x          (1)

To find the graph of f(x -3),

Substitute x = x- 3 in equation (1),

y =  x- 3

The slope of the graph is 1,

And the y intercept at x = 0,

y = -3

So the graph of the function y = x - 3 can be plotted as,

Hence option (B) is correct option.

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Answer:

choice B

g(x) = –(x + 2)5 + 2(x + 2)4 + 1

The function g(x) can be represented in terms of f(x) like this:

g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

Hence, 4th option is the right choice.

The translation is the process of moving a graph horizontally or vertically. To put it another way, each point on the parent graph is translated to the left, right, up, or down, to get the translated graph.

We know that g(x) is a transformation of f(x) = -x⁵ + 2x⁴ + 1.

Since, g(x) is the transformation of f(x) we try to find the relation between the points on f(x) and g(x).

Let the point on f(x) be (x₁, y₁) and that on g(x) be (x₂, y₂).

f(x) passes through the points (-1, 3), (0,1), (1.5, 3.8), and (2, 0).

Corresponding points on g(x) are (-3, 3), (-2, 1), (-0.5, 3.8), and (0, 0).

We can see that the y-coordinate is the same for corresponding points. So, y₂ = y₁.

For the x-coordinate, we see that for every corresponding point on g(x), it is 2 less than the point on f(x). So, x₂ = x₁ - 2.

Now, in the function f(x), we have x = x₁. So to find the function g(x), we substitute the value of x₂ = x₁ - 2 = x - 2 in f(x) to get the equation of g(x).

∴ g(x) = f(x-2)

or, g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

∴ The function g(x) can be represented in terms of f(x) like this:

g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

Hence, 4th option is the right choice.

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Answer:

18% trust me i got you bro

Step-by-step explanation:

Answer:

$1.30 for juice

Step-by-step explanation:

If madeline bought 2 bagels for $6 then one bagel must be $3. Madison spent $4.30 so $3 was the bagel and $1.30 was the juice.

Answer:

the correct answer is not there

Step-by-step explanation:

I'm not sure if "7, 8, 12, and 16" were answer choices but none of those are correct

Step-by-step explanation:

to find the value of p you'd need to divide 441 by 42 and the answer is 9.9

Answer:

1. Value for which denominator is 0.

2. Value for which we get negative sing inside the root or log.

Step-by-step explanation:

Domain is the set of input values.

If a function is not defined for a set of value then they are NOT in it's domain.

Two we look for in an equation that can tell us what's NOT in it's domain :

1. Value for which denominator is 0.

2. Value for which radicand is negative because negative values inside the square roots are not real.  Value for which log values are negative because log is not defined for negative values.

Answer:

[tex]90x[/tex]

Step-by-step explanation:

[tex]30x+60x=?[/tex]

If you want to solve this easily, you can just remove x and add 30x + 60x.

[tex]30+60[/tex]

We know that 30 + 60 is 90. So we will add x to 90.

[tex]90x[/tex]

Now you have your answer!

Hope this helps!

Answer:

90x

Step-by-step explanation:

To solve, add 30+60.

30 + 60 is equal to 90.

Add x and it will be 90x.

That is your answer!

Hope I helped!

Answer:

I believe it is 3

Step-by-step explanation:

That is the only number variable while the others are letter variables

Answer:

30sequences

Step-by-step explanation:

Using nx (n-1)

And

n is the number of ternary digits in the number.

So For 6 digits n is 6 so the number of numbers that have exactly one 1 AND exactly one 2 is 30.

That is 6(6-1)= 30

Answer:

-4u-18

Step-by-step explanation:

Answer:

Mean is all numbers added up divided by the amount of numbers in the set.

Median is the number that occurs the most in a set.

Step-by-step explanation:

Answer:

c. 5056

Step-by-step explanation:

The revenue is maximized when the units sold are increased if the selling price is constant. The basket ID 5056 has more units then the other two baskets and its invoice total is greater than the other baskets. The basket 5056 has largest total revenue to the company.

Answer:

The third line

Step-by-step explanation:

let's see all choices by solving them

1) The first one

[tex] \sqrt[ 3]{ - 5} \sqrt[3]{3} = \sqrt[3]{ - 15} (negative \: times \: positive \: is \: negative)[/tex]

2) The second one

[tex] \sqrt[3]{5} \sqrt[3]{ - 3} = \sqrt[3]{ - 15} (positive \: times \: negative \: is \: negative)[/tex]

3) The third one

[tex] \sqrt[3]{ - 5} \sqrt[3]{ - 3} = \sqrt[3]{15} (negative \: times \: negative \: is \: positive) \: this \: choice \: is \: the \: answer \: because \: the \: question \: asks \: positive \: radical \: number[/tex]

4) The fourth one

[tex] \sqrt[3]{ - 15} \sqrt[3]{1} = \sqrt[3]{ - 15} (any \: number \: multiply \: by \: one \: is \: it \: self [/tex]

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For any question comment me

Answer:

Step-by-step explanation:

this mean answer is b