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3 years ago

Select the set of equations that would be used to solve the following absolute value equation: |x+6|=18

Mathematics

2 answers:

Wewaii [24]3 years ago

8 0

The answer is A. x-6=18 and x+6=18.

Yuki888 [10]3 years ago

4 0

|x + 6| = 18

absolute value just tells you how many units a value is from 0 on a number line. |-1|, for example, is 1 unit away from the number line. |383| is 383 units away. with that being said, the answer to absolute value equations is set up like so:

x + 6 = 18
or
x + 6 = -18

so basically, the absolute value of (x + 6) is 18 units away from 0 on a number line, but it could be 18 units in the positive or negative direction, so you have to look for both by setting it to both -18 and 18. your answer is C.

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Romashka-Z-Leto [24]

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3 years ago

F(x)= x^3-4x^2+9 and let g(x)=6x^3+x^2-5x-12 what is f(x)-g(x)

Anarel [89]

$f(x) - g(x) = -5x^3-5x^2+5x +21$

Step-by-step explanation:

Given functions are:

$f(x) = x^3-4x^2+9\\g(x) = 6x^3+x^2-5x-12$

We have to find the difference of functions

So,

$f(x) - g(x) = x^3-4x^2+9 - (6x^3+x^2-5x-12)\\= x^3-4x^2+9-6x^3-x^2+5x+12$

Combining like terms

$x^3-4x^2+9-6x^3-x^2+5x+12\\=x^3-6x^3-4x^2-x^2+5x+9+12\\= -5x^3-5x^2+5x +21$

Hence,

$f(x) - g(x) = -5x^3-5x^2+5x +21$

Keywords: Functions, Operations

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3 years ago

The report "The New Food Fights: U.S. Public Divides Over Food Science" states that younger adults are more likely to see foods

Setler79 [48]

Answer:

a) yes

b) ( 0.0280 , 0.1720 )

c) No

Step-by-step explanation:

A) Determine if the sample sizes are large enough

where :

ages between ( 18 to 29 )

p1 = 0.48 ,

n1 = 178 , ∴ n1 P1 = 85.44 also n1 ( 1 - p1 ) = 92.56

ages between ( 50 to 64 )

P2 = 0.03 ,

n2 = 427 ∴ n2p2 = 12.81 also n2( 1 -p2 ) = 414.19

since all the values ae above 10 we can conclude that the sample sizes are large enough 

answer = yes 

B) Estimate the difference in the proportion of adult Americans aged 18 to 29

= ( 0.0280 , 0.1720 )

attached below is the detailed solution

C) zero is not included in the interval

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3 years ago

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Citrus2011 [14]

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