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docker41 [41]
3 years ago
6

What are the discontinuities of the function f(x) = the quantity of x squared plus 2 x minus 24, all over 6 x plus 24.?

Mathematics
1 answer:
noname [10]3 years ago
4 0
The discontinuities are x=-4. Because it is a fraction, you cannot divide by zero so if the denominator is set to equal zero, which it will if x=-4, the function will be be undefined
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A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varie
tensa zangetsu [6.8K]
To find the amount of miles/gallon, we have 540 miles/18 gallons=30 miles/gallon. As we add 30 miles for every gallon, the amount of miles traveled is 30*x (e.g. if x is 1 then 0+30=30 and if x is 2 then 30+30 (2 times)=60) with x being the amount of gallons. For b, we just plug 12 in for x to get 20*12=360
8 0
3 years ago
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into p
zaharov [31]

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8

8 0
3 years ago
John and Ellen bought a big pizza. Ellen are 2/4 of the pizza and John ate 1/3 of pizza. How much did they eat all together? How
Step2247 [10]

Answer:

<em>Pizza eaten together: 5/6,</em>

<em>Pizza left over: 1/6</em>

Step-by-step explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = <em>Pizza eaten together: 5/6</em>

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the <em>Partition Postulate. </em>In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = <em>Pizza left over: 1/6</em>

3 0
3 years ago
Read 2 more answers
An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal rin
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6 0
3 years ago
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In the past month, Aldo rented 7 video games and 4 DVDs. The rental price for each video game was $2.30. The rental price for ea
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Answer:

$27.70

Step-by-step explanation:

v=video games            d=DVDs

7v + 4d =

7(2.3) + 4(2.9) = 27.7

5 0
3 years ago
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