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3 years ago

Solve the equation. 2.5 = 0 - (-20) 0-17.5 0-22.5 O 22.5 0 17.5

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

Step-by-step explanation:Simplifying

0 = 2.5y + -20

Reorder the terms:

0 = -20 + 2.5y

Solving

0 = -20 + 2.5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2.5y' to each side of the equation.

0 + -2.5y = -20 + 2.5y + -2.5y

Remove the zero:

-2.5y = -20 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0

-2.5y = -20 + 0.0

-2.5y = -20

Divide each side by '-2.5'.

y = 8

Simplifying

y = 8

SO the answer is y=8 I think srry if i get it wrong

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Consider the functions f and g defined by \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\qquad\qquad\text{and}\qquad\qquad g(x) = \dfrac{\sqrt

tino4ka555 [31]

Answer:

The given functions are not same because the domain of both functions are different.

Step-by-step explanation:

The given functions are

$f(x)= \sqrt{\dfrac{x+1}{x-1}}$

$g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}$

First find the domain of both functions. Radicand can not be negative.

Domain of f(x):

$\dfrac{x+1}{x-1}>0$

This is possible if both numerator or denominator are either positive or negative.

Case 1: Both numerator or denominator are positive.

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

Case 2: Both numerator or denominator are negative.

$x+1\leq 0\Rightarrow x\leq -1$

$x-1\leq 0\Rightarrow x\leq 1$

So, the function is defined for x≤-1.

From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).

Domain of g(x):

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

So, domain of g(x) is [1,∞).

Therefore, the given functions are not same because the domain of both functions are different.

4 0

4 years ago

Consider in the figure below.

ELEN [110]

⚘ Refer to the attachments!!~

6 0

2 years ago

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What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11

Marat540 [252]

Answer: x = 2 ; -11 .
___________________________________
Explanation:
_____________________________________________
Given the equation:
_____________________________________________
x² + 9x − 22 = 0 ; Solve for: "x" ;
_____________________________________________

Let us factor the "left-hand side" of the equation:
_____________________________________________
"x² + 9x − 22" ;
_____________________________________________

What are the factors of "-22"" that add up to "positive 9" ?
_____________________________________________
Let us list the factors of "-22" :
____________________________________________
-2, 11; → -2 + 11 = 9 ;
-11, 2; → -11 + 2 = -9 ;
____________________________________________

So we have: "-2" and "11" ;
____________________________________________
So; "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
____________________________________________
We have: (x−2)(x + 11) = 0 ;

So: x − 2 = 0 ;

Add "2" to each side of the equation;

x − 2 + 2 = 0 + 2 ;

x = 2 ;
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x + 11 = 0 ;

Subtract "11" from each side of the equation;

x + 11 − 11 = 0 − 11 ;

x = -11 ;
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Answer: x = 2 ; -11 .
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3 years ago

Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park We

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Answer:

Your answer would be B. 0.81

Step-by-step explanation:

Hope I could help!

Have a great day! :)

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3 years ago

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