Which expression is equivalent to [(2a-3b4)2(3a5b)-2]-1 ? Assume a =/ 0, b =/ 0

Answer:

$1.50

Step-by-step explanation:

The change would be $1.50 because $5.00 - $3.50 = $1.50

Answer:

1(6+13mn+7m^2n^2)

Step-by-step explanation:

The coefficients and variables in this equation have a common factor of 1, therefore the equation will go back to it's original state if you use 1 as the common factor.

I hope this helps and sorry if am wrong

Answer:

1/5

Step-by-step explanation:

because multiply any different copies by 1/5 to get the cost of the print shop

Answer:

the answer of the question is D

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         Combine like terms.

                   = 9x + 2

Like terms have same variable of same powers.

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         

Combine like terms.                  

 = 9x + 2 Like terms have same variable of same powers.

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Transformations are operators that can act on functions, modifying them in different ways. In this particular problem, we see the translations.

The correct option is B:

g(x) can be graphed by translating the basic rational function ƒ(x)=  1∕x left by 3 units and downward by 5 units.

Let's describe the transformations:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left.

If N is negative, the shift is to the right

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards.

If N is negative, the shift is downwards.

Now that we know this, let's see the problem.

We have:

[tex]g(x) = \frac{1}{x + 3} - 5[/tex]

So, the original function is:

[tex]f(x) = \frac{1}{x}[/tex]

Now from f(x) we can apply translations to create g(x).

If first, we apply a translation of 3 units to the left, we get:

[tex]g(x) = f(x + 3) = \frac{1}{x + 3}[/tex]

If now we apply a translation of 5 units downwards, we get:

[tex]g(x) = f(x + 3) - 5 = \frac{1}{x + 3} - 5[/tex]

So we can conclude that the correct option is B:

g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units.

If you want to learn more about translations, you can read:

https://brainly.com/question/12463306

Answer:

1

Step-by-step explanation:

In this situation, the slope is 1.

This is because the ski rental service charges $1 per hour.

The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.

So, the value of the slope is 1.

Answer:

72.25 pi ft^2

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

17 pi = 2*pi*r

Divide each side by 2pi

17 pi / 2pi = 2 pi r / 2pi

17/2 = r

We want to find the area

A = pi r^2

A = pi ( 17/2) ^2

A =289/4 pi  ft^2

A = 72.25 pi ft^2

Step-by-step explanation:

x+y=0

x=-y

or, y=-x

3x-2y=10

Answer:

10/81

Step-by-step explanation:

let,

y=kx

y=10 when x=9

so,

10=k×9

or, k=10/9

when x=1/9

y=kx

or, y=(10/9)×(1/9)

or, y=10/81

Answer:

[tex]f(x) = e^x[/tex]

Step-by-step explanation:

Given

Options (a) to (d)

Required

Which is a parent function

A parent function is such that has a single term without coefficients

From the list of given options

[tex]f(x) = e^x[/tex] suits the above definition

Other options (b) to (d) either have coefficients, or have multiple terms

Answer:

10 or -2 (Both work)

Step-by-step explanation:

Solve the equation |x - 4| = 6:

|x - 4| = 6

Now do the inverse operation of negative 4 to get positive 4.

|x - 4| = 6

  + 4  + 4

|x| = |10|

x = 10

Answer:

(x^2 + 5x + 4) : 2

Step-by-step explanation:

Answer:

i) false

ii) false

iii)false

Answer:

true ans is correct

Step-by-step explanation:

true

Answer:

C

Step-by-step explanation:

(243)^(2/5)=3^2=9. C is the correct answer

It can be concluded that the equivalent value of the expression is 9.

An algebraic expression is a made up of terms both constants and variables. For example, we can write -

2x + 3y + z

5x + y

x + 8y

Given is the algebraic expression as -

[tex]$243^{\frac{2}{5} }[/tex]

The given algebraic expression is -

[tex]$243^{\frac{2}{5} }[/tex]

It is asked to find the equivalent value of this expression. We can write -

[tex]$243^{\frac{2}{5} }[/tex]

[tex]$3^{5\times \frac{2}{5} }[/tex]

3²

3 x 3

9

So, it can be concluded that the equivalent value of the expression is 9.

Therefore, it can be concluded that the equivalent value of the expression is 9.

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Answer:

1 term

Step-by-step explanation:

Writing an expression of 5 terms such that all 5 terms are like terms ;

Using the analogy :

x, 2x, 4x, 3x, 5x

Writing as an expression :

x + 2x + 4x - 3x + 5x

7x - x + 5x

6x + 5x

11x

The least number of terms in its equivalent expression is 1 ;

As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x

Answer:

see above there is answer

Answer:

[tex] 7 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the trapezoidal table

[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]

[tex] = 7 \: {ft}^{2} [/tex]

Answer:

7 ft squared

Step-by-step explanation:

Area of the trapezoidal table

Answer:

1.2x10^-1 seconds

Step-by-step explanation:

Answer:

0.12 seconds

Step-by-step explanation:

just think - how long does it take you to travel for example 30 km, if you are going 60 km/h ?

you have to divide 30 by 60 and get 0.5 or 1/2. meaning it takes you (logically) 30 minutes or half an hour to do so.

it is the same principle for all these kinds of questions.

we only need to keep an eye on the dimension of what we are talking about. is it hours or seconds ? meters or kilometers ? and do in

we need here to focus on seconds and to calculate

3.6×10⁷ / 3×10⁸ = 3.6 / 3×10¹ = 1.2 / 10 = 0.12 seconds

or

[tex]1.2 \times {10}^{ - 1} [/tex]

seconds

Answer:

[tex]A = 135(1.11)^{12}[/tex]

A= $472.29  

Step-by-step explanation:

Answer:

5

5 1/2

6 1/2

Step-by-step explanation:

Let n=1

a1 = 5+(1-1)*(1/6)

a1 = 5

Let n=4

a4 = 5+(4-1)*(1/6)

a4 = 5 +3(1/6)

a4 = 5+1/2 = 5 1/2

Let n=10

a10 = 5+(10-1)*(1/6)

a10 = 5 +9(1/6)

a4 = 5+3/2 = 5 + 1 1/2 = 6 1/2

Answer:

There are 3 marbles, that we assume are different.

Let's define them as marble 1, marble 2, and marble 3.

a) If the order is important, and we select the 3 marbles, then:

for the first marble, we have 3 options.

For the second marble, we have 2 options (because one is already taken)

for the third marble is only one option.

The total number of combinations is equal to the product between the numbers of options, so in this case, we have:

C = 3*2*1 = 6 combinations.

Now, if we only select 2 marbles from the bag, we have:

for the first marble, we have 3 options.

For the second marble, we have 2 options

Here the number of different combinations is:

C = 3*2 = 6 combinations.

And if we select only one marble from the bag, we have:

for the first marble, we have 3 options.

Then here are only 3 combinations.

the total number of combinations is:

C' = 6 + 6 + 3 = 15 different combinations.

b) If the order is not important, then there is only one combination when we draw the 3 marbles.

When we draw one marble there are 3 combinations (one for each marble)

When we draw two marbles, again there are 3 combinations (one for each marble that we do not draw)

then the total number of combinations in this case is:

C = 1 + 3 + 3 = 7

(5,-8) after a 180 degree counterclockwise rotation about the origin is (-5,8)

Step-by-step explanation:

first blank: 0 seconds

second blank: 9.8 seconds

third blank: 5 seconds

fourth blank: 120 meters

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Welp....there's your answer

Answer:

the answer is 21

Step-by-step explanation:

Answer:

x = 32 feet

Step-by-step explanation:

By applying tangent rule in ΔACD,

tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB+AC}{CD}[/tex]

             = [tex]\frac{x+BC}{87}[/tex]

x + BC = 73 -----(1)

By applying tangent rule in ΔBCD,

tan(25°) = [tex]\frac{BC}{CD}[/tex]

             = [tex]\frac{BC}{87}[/tex]

BC = 40.57

By substituting the value of BC in equation (1),

x + 40.57 = 73

x = 32.43

x ≈ 32 feet