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KATRIN_1 [288]
2 years ago
13

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

72.5| = 4. What are the minimum and maximum temperatures in the house?
Mathematics
2 answers:
Ksju [112]2 years ago
8 0
So solve for x

|x-72.5|=4
the || makes the inside positive so it could be positivie and negative so

x-72.5=4 and x-72.5=-4
solve for x in both situations

x-72.5=4
add 72.5 to both sides
x=76.5


x-72.5=-4
add 72.5 to both sides
x=68.6


the minimum it can be set to is 68.5 and the max is 76.5
labwork [276]2 years ago
5 0

Answer:

its b for E2020 users

Step-by-step explanation:

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deff fn [24]
<h2>Answer:</h2>

Ques 1)

                   g(x)=-12x+48

Ques 2)

                 g(x)=|3x|+4

<h2>Step-by-step explanation:</h2>

Ques 1)

We know that if a graph is stretched by a factor of a then the transformation if given by:

    f(x) → a f(x)

Also, we know that the translation of a function k units to the right or to the left is given by:

  f(x) →  f(x+k)

where if k>0 then the shift is k units to the left

and if k<0 then the shift is k units to the right.

Here the graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

This means that the function g(x) is given by:

g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48

Ques 2)

We know that the transformation of the type:

  f(x) → f(x)+k

is a shift or translation of the function k units up or down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here, The graph of the function f(x)=|3x| is translated 4 units up.

This means that the transformed function g(x) is given by:

                 g(x)=|3x|+4

4 0
2 years ago
Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. In total, she spen
kati45 [8]
2.5y + 1.1x ∠ 10

2.5y = - 1.1x +10

y = (- 1.1/2.5)x + 4

Draw this function. It's descending (m negative). All values on the left of the lines satisfy this inequality


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2 years ago
Willie and his brothers went to TGI Mondays. Their order consisted of 3 cheeseburgers at $8.75 each, a fish sandwich for $6.75,
Sladkaya [172]

<u>Answer:</u>$68.69

<u>Step-by-step explanation:</u>

Calculation of bill value

Cheeseburgers  =    26.25

(8.75 x 3)

Fish Sandwich    =     6.75

Pizza                    =    14.99

Sweet Tea

(4 x 2.09)              =    8.36

Total of items        =  56.35

Sales tax on food  =   3.381

(56.35 x 6%)          

Total bill value       = 59.731

Calculation of tips

Bill value x 15%

=59.731 x 15%

Tips paid=8.95965

Calculation of meals cost

Total meal cost = Bill value + tips

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Total meal cost is $68.69

7 0
2 years ago
a ball bounces from a height of 2 metres and returns to 80% of its previous height on each bounce. find the total distance trave
Levart [38]
 The solution to the problem is as follows:

We have 2+.8(2) + .8(.8(2)) + .8(.8(.8(2))) + ... = 

2( .8^0 + .8^1 + .8^2 + .8^3 + ... ) = 

2(.8^n -1) / (.8-1) . As n-->infinity, .8^n-->0 giving us 

<span>2(-1)/(-.2) = 2(5) = 10 meters.
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
5 0
2 years ago
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A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day. The number of gallons of ice cream he sold wa
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Answer:

4.625 gallons

Step-by-step explanation:

1. 11 pints plus 13 quarts is 18.5 quarts

2. 18.5 quarts is equal to 4.625 gallons

4 0
2 years ago
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