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3 years ago

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises. f(−1) = f(1) = f(2) =

Mathematics

2 answers:

Anit [1.1K]3 years ago

7 0

The value of the function f(x) at $x=a$ can be determined by substituting a instead of x into the function expression.

1. When x=-1, then

$f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.$

2. When x=1, then

$f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.$

3. When x=2, then

$f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.$

vladimir2022 [97]3 years ago

4 0

Answer:

the correct answer is;

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3 years ago

What is the answer to this

Sphinxa [80]

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4 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

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3 years ago

She has 49 packs of red balloons,66 packs of blue balloons and 35 packs of yellow balloons. Each pack contained 12 balloons. She

Mars2501 [29]

Answer:

Step-by-step explanation:

just multiply all all the packs by 12 an then subtract 225 and then u divide that by 25 and u get 63

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3 years ago

kandy is financing a $335,000 mortgage for 30 years at a fixed rate of 7.5% what is the total cost of the principal and interest

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Given:
F= $335,000
n = 30 years at a fixed rate of i = 7.5%

Required:
the total cost of the principal

Solution:
F = P(1+i)^n
P = F/(1+i)^n
P = 335,000 / (1.0.075)^30
P = 38,264.05

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3 years ago