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svlad2 [7]
2 years ago
10

A linear function is represented by the equation y = 12x + 8. What is the difference between the y-values of the function at two

consecutive integer x-values?
Mathematics
1 answer:
Reil [10]2 years ago
8 0

Answer:

  • 12

Step-by-step explanation:

<u>Let the consecutive x-values be n and n+1, then the difference between y-values:</u>

  • 12(n+1) + 8 - (12n + 8) =
  • 12n + 12 + 8 -12n - 8 =
  • 12
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The lists below gives the donations, in dollars that two different charities received in 1 day. Compare the means of the two dat
icang [17]

Answer:

The mean of Planted Society's donations received is higher than Bees Park Expansion's.

Step-by-step explanation:

To get the mean, you want to add all of the numbers up and divide by how many numbers up. For example, you add all of the values for Planted Society and get 140. We know that there are 7 numbers given, so we do 140 divided by 7 to get a mean of 20. Same with Bees Park Expansion; add to get a total of 152. There are 8 numbers, and 152 divided by 8 is 19. This means 20>19. Mean is also written as average in questions.

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Rewrite! Write an new and equivalent equation that is easier to solve
Marysya12 [62]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>an </u><u>equation</u><u> </u><u>in </u><u>a </u><u>standard</u><u> </u><u>form</u>

  • To do - <u>simplify</u><u> </u><u>the </u><u>equation</u><u> </u><u>so </u><u>as </u><u>to </u><u>obtain </u><u>an </u><u>easier </u><u>one</u>

<u>Since </u><u>the </u><u>equation</u><u> </u><u>provided </u><u>isn't</u><u> </u><u>i</u><u>n</u><u> </u><u>it's</u><u> </u><u>general</u><u> </u><u>form </u><u>,</u><u> </u><u>let's</u><u> </u><u>first </u><u>convert </u><u>it </u><u>~</u>

<u>General</u><u> </u><u>form </u><u>of </u><u>a </u><u>Linear</u><u> equation</u><u> </u><u>-</u>

\bold{ax  + b = 0}

<u>T</u><u>he </u><u>equation</u><u> </u><u>after </u><u>getting</u><u> </u><u>converted</u><u> </u><u>will </u><u>be </u><u>as </u><u>follows</u><u> </u><u>~</u>

- 7 + ( \frac{4x + 2}{2} )  = 8 \\  \\ \implies \:  \frac{ - 14 + 4x + 2}{2}  = 8 \\  \\  \implies \:  - 14 + 4x + 2 = 16 \\  \\ \implies \: 4x = 16 + 14 - 2 \\  \\ \implies \: 4x = 28 \\  \\\bold{ General \: form \:  \dashrightarrow  \: 4x - 28 = 0}

hope helpful ~

6 0
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