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3 years ago

Evaluate. 2.2^3 . 2^-5 .2^-1 A. -4 B, -8 C. 1/4 D. 1/8

Mathematics

1 answer:

DanielleElmas [232]3 years ago

6 0

Answer:

Step-by-step explanation:

2^3 . 2^- 5 . 2^- 1

= 2^( 3 - 5 - 1 )

= 2^( 3 - 6 )

= 2^- 3

= 1 / 2^3

= 1 / 8

2 . 2^3 . 2^- 5 . 2^- 1

= 2^1 . 2^3 . 2^- 5 . 2^- 1

= 2^( 3 - 5 - 1 + 1 )

= 2^( 3 - 5 )

= 2^- 2

= 1 / 2^2

= 1 / 4

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Use substitution to solve the linear system of equations. y=-3x+1 y=2x-4 (-2, 1) (1, -2) (1, 2) (-1, -2)

shtirl [24]

Answer:

Solution of the equations is (1, -2).

Step-by-step explanation:

Two linear equations given in the question are

y = -3x+1-------------(1)

and y = 2x-4 ------------(2)

To solve these equations by substitution method we will substitute the value of y from equation (1) to equation number (2).

-3x+1 = 2x-4

Now we add 3x on both the sides of the equation

3x-3x+1 = 3x+2x-4

1 = 5x-4

we will add 4 on both the sides

1+4 = 5x-4+4

5 = 5x

Then we divide the equation by 5

5/5 = 5x/5

x = 5/5 = 1

Now we solve the equation (1) for the value of y by putting x = 1

y = -3(1)+1 = -3+1 = (-2)

So the solution will be (1 -2).

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3 years ago

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Rus_ich [418]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes Kate ran a mile in 10.87 minutes how many

igor_vitrenko [27]

Complete Question

The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?

a. 1.37 minutes

b. 1.27 minutes

c. 2.27 minutes

d. 1.27 seconds

Answer:

1.27 minutes

Step-by-step explanation:

Emmett ran a mile in 9.73 minutes

Kate ran a mile in 10.87 minutes

Rubin ran a mile in 8.46 minutes.

How many more minutes did Emmett run than Robin?

This is calculated as:

Number of minutes Emmett ran - Number of minutes Rubin ran

= 9.73 minute - 8.46 minutes

= 1.27 minutes

Option b is correct

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3 years ago