Use the properties of exponents to simplify the expression 2 (x1/3) 6/5 y 2/3.

The resulting function is given as follows:

\(y = \frac{e^{2x}}{3} - 2\)

The parent function in the context of this problem is given as follows:

\(y = e^{-2x}\)

When the function is vertically compressed by a factor of 3, we have that it is divided by three on the range, hence:

\(y = \frac{e^{-2x}}{3}\)

When the function is reflected across the x-axis, we multiply by -1 on the domain, hence:

\(y = \frac{e^{2x}}{3}\), as -2x x -1 = 2x.

When it is shifted down two units, we subtract by two on the range, hence:

\(y = \frac{e^{2x}}{3} - 2\)

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Answer: 0.3464 (correct upto 4 decimal places )

Step-by-step explanation:

\(\sqrt{3/25}\)= \(\sqrt{3} /\sqrt{25\\}\)     (as the square root of 25 is 5)

=1.73205/5

=0.3464

Answer:

Step-by-step explanation:

Answer:

x=2^-y

A

Step-by-step explanation:

x | y

1 | 0

2 | -1

4 | -2

Answer:

A. 5 + 2.75 · S ≤ 21

Step-by-step explanation:

So we know that it has to be less than or equal to $21 because that's all she has to spend. So we can automatically rule out the equations with ≥  because that means greater than.

We can also rule out the equations that have 50 at the very end because that's just how far she wants to travel.

Answer:

If this is solving for a hypotenuse, the answer is 8.

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 b^2 = 10^2

36 + b^2 = 100

100 - 36 = 64

The square root of 64 is 8.

Answer:

1101011100001

Step-by-step explanation:

i attached the calculation there. hope it's clear enough

Margaret drove 30 miles one way and 30 miles back, totaling 60 miles.

Given that Margaret drove to a business appointment at 30 mph, and her average speed on the return trip was 20 mph, and the return trip took 1/2 hr longer because of heavy traffic, to determine how far did she travel to the appointment the following calculation must be performed:

Therefore, Margaret drove 30 miles one way and 30 miles back, totaling 60 miles.

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Answer:

Step-by-step explanation:

(12-3)/2 = 9/2

(-5-3)/2= -8/2= -4

(9/2, -4)

Answer:

Step-by-step explanation:

Ratio of tagged to non-tagged is:

This is 300 non-tagged per 1 tagged

Since there are 700 tagged rabbits, the estimated number is:

Answer:

-4\(x^{2}\) - 6

Step-by-step explanation:

First you have to add the two polynomials.  Write the first equation then line up the second equation below the first making sure to keep the columns correct.  \(x^{2}\) goes in one column, x goes in the next column and the whole numbers go in the last column.  Also be sure to have the correct signs of those columns.  It should look like this:

                      4\(x^{2}\)   -   x   +   1

PLUS             -6\(x^{2}\)   +   x   -   4

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

                      -2\(x^{2}\)   +  0   -   3

Note that the middle x turns to 0 because you're subtracting 1x from 1x which is 0.

You can now write the SUM as   -2\(x^{2}\) - 3

Now they want to know what twice this sum is so multiply it by 2

                          2 ( -2\(x^{2}\) - 3)  =  -4\(x^{2}\)  -  6

Answer:

  110.25

Step-by-step explanation:

Consider the square ...

  (x +a)^2 = x^2 +2ax +a^2

The added constant (a^2) is the square of half the x-coefficient:

  a^2 = ((2a)/2)^2

__

The added constant needs to be the square of half the x-coefficient:

  c = (-21/2)^2 = 441/4 = 110.25

__

  x^2 -21x +110.25 = (x -10.5)^2

16 bc I know math and fratcions bc it is easy

Answer:

-18

Step-by-step explanation:

Substitute in -2 for x

-(-2)²+2(-2)-10

-4-4-10

-18

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

c) 118°

Step-by-step explanation:

PN is the diameter of the given circle.

\( \purple {\bold {\therefore m(\widehat{PMN}) = 180°}}.... (1)\\\)

Now, by inscribed angle theorem:

\( m\widehat {MN} = 2\times m\angle MPN\\

\therefore m\widehat {MN} = 2\times 31°\\

\red{\bold {\therefore m(\widehat {MN}) = 62°}}....(2) \\\\\)

Now,

\( \because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\

\therefore m(\widehat{MP}) + 62° =180°\\

\therefore m(\widehat{MP}) =180°-62°\\

\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\\)

the answer is 62 degrees

m\(\begin{gathered} 28+m<\text{FEH}=90 \\ m<\text{FEH}=90-28 \\ <\text{FEH}=62^0 \end{gathered}\)

Answer:

-|7-2x|+11= -8

x=-6 0r x=13

9-7|-x-3|= -61

x=-13 or x=7

13|-2x+1|-10=159

x=-6 or x=7

Step-by-step explanation:

-|7-2x|+11= -8

-|7-2x|=-8-11

either :

7-2x=-19

-2x=-19-7

x=-26/2

x=13

Or: 7-2x=19

-2x=19-7

-2x=12

x=-12/2

x= - 6

9−7(|−x−3|)=−61

−7(|−x−3|)=−61-9

−7(|−x−3|)=−70

|-x-3|=-70/-7

|-x-3|=10

either :

-x-3=10         or -x-3=-10

-x=13                   -x=-7

x=-13                    x=7

13|-2x+1|=159+10

13|-2x+1|=169

|-2x+1|=169/13

|-2x+1|=13

either                                          or

-2x+1=-13                                     -2x+1=13

-2x=-14                                        -2x=12

x=-14/-2                                        x=12/-2

x=7                                               x=-6

Answer:

500*10^6 L or 5.00*10^8 L.

Step-by-step explanation:

Capital M shows mega which equal to 10^6.

So, 500 ML = 500*10^6 L

or 5.00*10^8 L.

Answer:

0.5

Step-by-step explanation:

Step 1:

1 L = 1000 ML

Step 2:

500 ML ÷ 1000

Answer:

0.5 L

Hope This Helps :)

From the calculation below, the probability that a tourist will spend more than $250 on the 2 legs of the trip is 2/3.

From the question, the number of possible options available and their total amount is as follows:

Airplane and Van = $350 + $60 = $410

Airplane and Cab = $350 + $40 = $390

Bus and Van = $150 + $60 = $210

Bus and Cab = $150 + $40 = $190

Train and Van = $225 + $60 = $285

Train and Cab = $225 + $40 = $265

From the above, it can be observed that we have a total number of 6 different options available and 4 of the options are more than $250.

Therefore, we have:

Probability of spending more than $250 = Number of options that are more than $250 / Total number of different options = 4/6 = 2/3

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Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The missing values of x² column of the table are; 9 and 16 respectively and the value of ΣX² is; 47.

If follows from the table that the three columns of the table record values x, y and x².

On this note, if fill that the first missing value in which case, x = 3 and y = 2 is; 3² = 9. And in the second case where, x = 4 and y = 3 is; 4² = 16.

Hence, the value of ΣX² = 9 + 9 +9 + 4 +16 = 47.

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2/3 of 35 is 23. Kofi is 23.

OPTION B is the correct answer.

Answer:

x ≤ 2

Step-by-step explanation:

x+5 ≤ 7

x ≤ 7 - 5

x ≤ 2

Answer:

expand the square

2(x-6) (x-6)

2(x(x-6)-6(x-6)

2(x²-6x-6(x-6)

2(x²-6x-6x+36)

2(x²-12x+36)

2x²-24x+72

Step-by-step explanation:

hope this helps

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

so u r already finished? don't post it next time

Multiplying 8 by 2 equals 16 , so multiply the top number (5) by 2:

5 x 2 = 10

5/8 = 10/16

The answer is 10

Answer:

The answer would be 51