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3 years ago

F(x)=5^x if F(-2) what does this equal

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Answer:

$\frac{1}{25}$

Step-by-step explanation:

Using the rule of exponents

$a^{-m}$ = $\frac{1}{a^{m} }$ , hence

f(- 2) = $5^{-2}$ = $\frac{1}{5^{2} }$ = $\frac{1}{25}$

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Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0

drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

Step-by-step explanation:

The given is,

$2x+2y+z=- 2$ .......................................(1)

$-x-2y+2z=-5$ ......................................(2)

$2x+4y+z=0$ .........................................(3)

Step:1

Equation (2) is multiplied by -1 ( Eqn(2) × -1 )

$x+2y-2z=5$ .............................(4)

Subtract the equation (1) and (4)

$2x+2y+z=- 2$

$x+2y-2z=5$

( - )

$(2x-x)+(2y-2y)+(z+2z)=(-2-5)$

$x+3z=-7$ ......................(5)

Step:2

Equation (2) is multiplied by -2 ( Eqn(2) × -2)

$2x+4y-4z=10$ ........................(6)

Subtract equation (6) and (3),

$2x+4y-4z=10$

$2x+4y+z=0$

( - )

$(2x-2x)+(4y-4y)+(-4z-z)= (10-0)$

$-5z=10$

$z = - \frac{10}{5}$

z = -2

From the equation (5),

$x+3z=-7$

$x+(3)(-2)=-7$

$x = -7+6$

x = -1

From equation (1),

$2x+2y+z=- 2$

Substitute x and z values,

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

$2y - 4=2$

$2y=4-2$

$2y=2$

$y=\frac{2}{2}$

y = 1

Step:3

Check for solution,

$-x-2y+2z=-5$

Substitute x,y and z values,

$-(-1)-(2)(1)+(2)(-2)=-5$

$1-2-4=-5$

-5 = -5

Result:

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

8 0

3 years ago

Which expression is equivalent -8-(-12)

asambeis [7]

Answer:

Step-by-step explanation:

-8-(-12)=4

1.8-12=-4

2.-8+12=4

3.-8-12=-20

4.-(8+12)=-4

6 0

3 years ago

A park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your ans

Mademuasel [1]

Step-by-step explanation:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

8 0

3 years ago

How much for 19.35 to get to 25 ill give brainliest whoever answers first <3

Bogdan [553]

The number remaining for 19.35 to get to 25 is 5.65.

<h3>What is an expression?</h3>

Expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both

In this case, the number remaining for 19.35 to get to 25 will be:

= New number - Old number

= 25 - 19.35

= 5.65

The number is 5.65.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

7 0

1 year ago

On a number line what comes first the Y or the X

zavuch27 [327]

Answer:

Rise/Run = y/x

Step-by-step explanation:

On a number line the X-axis is on the bottom, and the Y-axis is on the Top.

7 0

2 years ago