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Sladkaya [172]
4 years ago
9

Which choices are equivalent to the exponential expression below? check all that apply. (2/3)^3

Mathematics
1 answer:
rosijanka [135]4 years ago
4 0

Answer:

B. (2/3) x (2/3) x (2/3)

C. 8/27

D. 2^3 /3^3

Step-by-step explanation:

You need to know the following property

\LARGE \left(\frac{a}{b} \right)^c = \frac{a^c}{b^c}

Exponent also means you're multiplying the same number for an 'n' number of times.

For example, 2^3 = 2 * 2 * 2

we multiply it by itself 3 times since 3 is the exponent.

x^y

x is the base, y is the exponent

we read it as x to the power of y

If the exponent is 2, we say it as x squared

If the exponent is 3, we say it as x cubed

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The length of the base of an isosceles triangle is x. The length of a leg is 3x-5. The perimeter of the triangle is 39. Find X.
frozen [14]

Answer:

x = 7

Step-by-step explanation:

In an isosceles triangle, both legs are always congruent. The length of one leg is given, and the other leg has to be the same. The perimeter of this triangle can be written as:

x+(3x-5)+(3x-5)=39

With this equation, all you need to do is solve for x.

3+3x-5+3x-5=39\\(-5-5)+(x+3x+3x)=39\\-10+7x=39\\7x=49\\x=7

5 0
3 years ago
A runner traveled 3 mi in the same time that a cyclist traveled 5 mi. The speed of the cyclist was 2 mph greater than that of th
Contact [7]

Answer:

5 mph.

Step-by-step explanation:

Let the runner travel at x miles an hour , then the cyclist travels at 5/ 3 * x

= 5/3 x  miles an hour.

So we have the equation

5/3 x - x = 2    ( since the cyclist was  travelling at 2  mph faster).,

2/3 x = 2

x = 3/2 * 2 = 3 mph.

So the cyclists speed was  3 * 5/3

= 5 mph.

3 0
3 years ago
Consider the functions f(x) = 5x – 2, g(x) = 5x² + 2 and r(x) = –2x + 4.
klemol [59]

Answer:

f(-2x+4) = -10x+18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Question 7 Multiple Choice Worth 1 points)
expeople1 [14]

Answer:

The answer to your question is (3, 0)

Step-by-step explanation:

Data

              4x  +  2y  = 12                 Equation l

                x  -    y   = 3                   Equation ll

Process

To solve this problem use the elimination method

1.- Multiply equation ll by 2

              4x  +  2y  =  12

              2x  -  2y  =    6

              6x      0   = 18

2.- Solve for x

                        6x = 18

                          x = 18/6

                          x = 3

3.- Substitute x in equation ll to find y

                3  -  y  = 3

-Solve for y

                    -y = 3 - 3

                     y = 0

4.- Write the solution

                   (3, 0)

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3 years ago
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58x176 equals what.... will make brainliest
Effectus [21]
10,208 is the correct answer
3 0
3 years ago
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