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Shalnov [3]
3 years ago
9

2. Let f(x) = 3x² -x+5, find f(x+1)​

Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

Answer:

f(x + 1) = 3x² + 5x + 7

Step-by-step explanation:

To find f(x + 1), substitute x = x + 1 into f(x), that is

f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL

           = 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3

           = 3x² + 6x + 3 - x - 1 + 5 ← collect like terms

           = 3x² + 5x + 7

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15. Express 2/5 as a percentage​
blsea [12.9K]

Answer:

40\%

Step-by-step explanation:

\frac{2}{5}  \times 100 = 40\%

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3 years ago
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Plz help, I don't understand this.
Oksanka [162]

Answer:

see explanation

Step-by-step explanation:

consecutive even integers have a difference of 2 between them

for example 2, 4, 6 are 3 consecutive even integers

In general if we let the first integer be k then the next 2 integers are

k + 2 and k + 4

the sum of these equals 4 times the first integer, that is 4k, hence

k + k + 2 + k + 4 = 4k

3k + 6 = 4k ( subtract 3k from both sides )

6 = k

the 3 consecutive integers are

k = 6

k + 2 = 6 + 2 = 8

k + 4 = 6 + 4 = 10

that is 6, 8 and 10

note that sum = 6 + 8 + 10 = 24

and 4 × 6 = 24

confirming the sum of the 3 integers equals 4 times the first integer




7 0
4 years ago
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