By how much would the value of the following expression change if the absolute value parenthesis is changed to a regular one?: #|3-5(7-2)|+5(2-3)#

Answer 1

Gabriel Agustin

Changes by 44

In terms of absolute value

#abs(3-5xx(7-2))+5xx(2-3)#

#abs(3-5xx5)+5xx(-1)#

#abs(3-25)-5#

#abs(-22)-5#

#22-5=17#

Absent absolute value

#(3-5xx(7-2))+5xx(2-3)#

#(3-5xx5)+5xx(-1)#

#(3-25)-5#

#(-22)-5=-27#

Distinction

#17-(-27)=44#

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer 2

Nova Allen

To find out how much the value of the expression changes when the absolute value parentheses are changed to regular parentheses, evaluate the expression with both scenarios:

Original expression with absolute value: $|3-5*(7-2)| + 5*(2-3)$

Evaluate the expression inside the absolute value first: $|3-5*(7-2)| = |3-5*5|$ $= |3-25|$ $= |-22|$ $= 22$

Now, evaluate the entire expression: $|3-5*(7-2)| + 5*(2-3) = 22 + 5*(-1)$ $= 22 - 5$ $= 17$

Expression with regular parentheses: $(3-5*(7-2)) + 5*(2-3)$

Evaluate inside the parentheses first: $3-5*(7-2) = 3-5*5$ $= 3-25$ $= -22$

Now, evaluate the entire expression: $(3-5*(7-2)) + 5*(2-3) = -22 + 5*(-1)$ $= -22 - 5$ $= -27$

The change in value is: $17 - (-27) = 17 + 27 = 44$

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

By how much would the value of the following expression change if the absolute value parenthesis is changed to a regular one?: #|3-5*(7-2)|+5*(2-3)#

By how much would the value of the following expression change if the absolute value parenthesis is changed to a regular one?: #|3-5(7-2)|+5(2-3)#