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Sedaia [141]
2 years ago
13

Simplify 3^8 x 3^4 / 3^2 x 3^8 leaving your answer in index form

Mathematics
2 answers:
alukav5142 [94]2 years ago
6 0

Answer:

3^2.

Step-by-step explanation:

3^8 is common to numerator and denominator so it simplifies to:

3^4 / 3^2

= 3^(4-2)

= 3^2.

Furkat [3]2 years ago
3 0

Answer:

3² or 9

Step-by-step explanation:

Step 1: Add exponents

\frac{3^{12}}{3^{10}}

Step 2: Subtract exponents

You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.

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arlik [135]

Answer:

D(x,y) = (-1.5,3.5)

Step-by-step explanation:

Given

E = (-3,2)

F = (3,8)

ED: DF = 1 : 3

Required

Determine the coordinates of D

This is calculated as thus:

D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})

Where:

(x_1,y_1) = (-3,2)

(x_2,y_2) = (3,8)

m:n = 1:3

D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})

D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})

D(x,y) = (\frac{-6}{4},\frac{14}{4})

D(x,y) = (-1.5,3.5)

3 0
3 years ago
Find the value of X 150 4X-5
Nataliya [291]

Answer:

should i add 150 + 4x-5

Step-by-step explanation:

8 0
3 years ago
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g100num [7]

Answer:

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Step-by-step explanation:

4 0
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2 years ago
The drama club is selling tickets for a play. The profit, y, is
Goshia [24]

Answer:

80 tickets

Step-by-step explanation:

Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of  tickets, x, that need to be sold for the drama club to break  even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;

y = x^2 – 40x – 3,200,

0 = x^2 – 40x – 3,200,

x^2 – 40x – 3,200 = 0

x^2 – 80x  + 40x – 3,200 = 0

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(x+40)(x-80) = 0

x = -40 and x = 80

x cannot be negative

Hence the total number of  tickets, x, that need to be sold for the drama club to break  even is 80 tickets

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