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3 years ago

One factor of x^3+x^2-14x-24 is x-4. find the remaining factor

Mathematics

2 answers:

Zanzabum3 years ago

8 0

Bananassbnskskakakaksisis

defon3 years ago

7 0

Answer:

x= -3

Step-by-step explanation:

3x+2x-14x-24=x-4

add 24 to both sides and subtract x to both sides

add them all up

-7x=21

Divide both sides by -7

x=3

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2 years ago

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3 years ago

The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperatu

PSYCHO15rus [73]

Answer:

a) $I(95,50) = 73.19$ degrees

b) $I_{T}(95,50) = -7.73$

Step-by-step explanation:

An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

$I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}$

a) Calculate I at (T ,H) = (95, 50).

$I(95,50) = 45.33 + 0.6845*(95) + 5.758*(50) - 0.00365*(95)^{2} - 0.1565*95*50 + 0.001*50*95^{2} = 73.19$ degrees

(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is $I_{T}(T,H)$ . So

$I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}$

$I_{T}(T,H) = 0.6845 - 2*0.00365T - 0.1565H + 2*0.001H$

$I_{T}(95,50) = 0.6845 - 2*0.00365*(95) - 0.1565*(50) + 2*0.001(50) = -7.73$

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3 years ago

Factor the polynomial expression x4 + 18x2 + 81

Akimi4 [234]

Answer: $(x^2+9)^2$

Step-by-step explanation:

Rewrite it in the form $a^2+2ab+b^2$ , where $a=x^2 and b=9.$

$(x^2)^2+2(x^2)(9)+9^2$

Use Square of Sum: $(a+b)^2= a^2+2ab+b^2$

$(x^2+9)^2$

4 0

3 years ago