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Brums [2.3K]
3 years ago
11

A medicine is known to decompose and become ineffective if its temperature ever reaches 103 degrees Fahrenheit or more. Write an

interval to represent the temperatures (in degrees Fahrenheit) at which the medicine is ineffective.
Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer: Interval = [103,∞)

Explanation :

A medicine become ineffective if its temperature ever reaches 103 degrees Fahrenheit or more .

So, Interval becomes [103,∞)

i.e. semi-open or semi-closed interval as it includes 103\textdegree

So, we used closed brackets i.e. square brackets and

For '∞' we always use open brackets only.

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3 years ago
Find the angle measures. Justify your responses.
MatroZZZ [7]

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

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x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 

5 0
2 years ago
Name the property used to make the conclusion. If x=3, then 5x=15.
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6 0
3 years ago
Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8)
Lelechka [254]

Answer: 5 • (2x2 - 17x - 2)

 ———————————————————

        x - 8      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 

Step  2  :

           10x2 - 85x - 10

Simplify   ———————————————

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Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

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Trying to factor by splitting the middle term

3.2     Factoring  2x2 - 17x - 2  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -17x  its coefficient is  -17 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4  

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -17 .

     -4    +    1    =    -3  

     -2    +    2    =    0  

     -1    +    4    =    3  

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored

8 0
2 years ago
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