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Alex777 [14]
3 years ago
9

1 - 4x^2 Factorization using the formula: a^2 - b^2 = (a + b) (a - b)

Mathematics
2 answers:
Pavel [41]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Factorise using the difference of squares, that is

a² - b² = (a + b)(a - b)

Given

1 - 4x², then a = 1 and b = 2x

= (1 + 2x)(1 - 2x) = (1 - 2x)(1 + 2x)

Since multiplication is commutative order is not important, that is

3 × 4 = 4 × 3

Setler [38]3 years ago
7 0

Answer:

1 - 4x^2

=(1)^2 - (2x)^2

=(1-2x) (1+2x)

it could also be written as (1 + 2x) (1 - 2x)

Step-by-step explanation:

the order doesn't matter because it's a multiplication

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The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the
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Answer:

x-intercept is (2,0)  [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

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Step-by-step explanation:

<u>Complete Question:</u>

<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>

<em />

  • The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
  • The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

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x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

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