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Harman [31]
3 years ago
7

Given the function f(x)=0.5|x-4| -3, for what values of x is f(x)=7

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
6 0

Answer:

<h2>x = -16 or x = 24</h2>

Step-by-step explanation:

f(x)=0.5|x-4|-3\\\\f(x)=7\Rightarrow0.5|x-4|-3=7\qquad\text{add 3 to both sides}\\\\0.5|x-4|=10\qquad\text{multiply both sides by 2}\\\\|x-4|=20\iff x-4=\pm20\\\\x-4=-20\qquad\text{add 4 to both sides}\\x=-16\\\\x-4=20\qquad\text{add 4 to both sides}\\x=24

forsale [732]3 years ago
6 0

Answer:7=0.5 |x-4| -3

+3                +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

            ^

-20=x-4   20=x-4

 +4    +4    +4    +4

-16=x       24=x

The answers are -16=x and 24=x

Hope this helps, an if it pleases you put as the brainliest answer!

Read more on Brainly.com - brainly.com/question/3508210#readmore

Step-by-step explanation:

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A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and
Flura [38]

Answer:

a) cblo

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Step-by-step explanation:

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up equation:

x=cans

y=loaves

4x+3y=11.67\\8x+y=12.89 This is the answer for question A.

Multiply eq1 by 2:

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Subtract eq3 by eq2:

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8x+2.09=12.89\\8x=10.8\\x=1.35

One can of soup and one loaf of bread=

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6 0
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b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

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Step 3 :

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Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

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