3 years ago

Can you please do 15 and 16

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

15: Approximately it is 46.6%.
16: 7%(100%-65%-18%-10%)

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Write 5 pounds for $2.49 as a unit rate. round to the nearest hundreth

DaniilM [7]

5 pounds = $2.49

1 pound = $2.49 ÷ 5 = $0.50 (nearest hundredth)

Answer: $0.50/pound

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3 years ago

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Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

$f(x)=x^4-x^3-2x-4$

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

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3 years ago

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nadya68 [22]

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3 years ago

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vladimir2022 [97]

Answer:

<u>6b - 4a + 22 units</u>

Step-by-step explanation:

Perimeter = 2(length + width)

= 2(3b - 4a + 5 + 6 + 2a)

= 2(3b - 2a + 11)

= <u>6b - 4a + 22 units</u>

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2 years ago