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wariber [46]
2 years ago
11

Use the cubic model y = 6x3 - 5x2 + 4x – 3 to estimate the value of y when x = 2.

Mathematics
2 answers:
jeka942 years ago
5 0

Answer:

The answer is B.

Step-by-step explanation:

You have to substitute x = 2, into the equation of y :

y = 6 {x}^{3}  - 5 {x}^{2}  + 4x - 3

let \: x = 2

y = 6 {( 2)}^{3}  - 5 {(2)}^{2}  + 4(2) - 3

y = 48 - 20 + 8 - 3

y = 33

Sidana [21]2 years ago
5 0
Yeah it 33 is correct
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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
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Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

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Step-by-step explanation:

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