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3 years ago

PLEASE HELP ASAP 50 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Mathematics

2 answers:

Grace [21]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

P(x) = 2x³ + 4x² - 10x - 9, then

P(a) = 2a³ + 4a² - 10a - 9 ← substitute x = a into P(x)

To evaluate P(3) substitute a = 3 into P(a)

P(3) = 2(3)³ + 4(3)² - 10(3) - 9 = 54 + 36 - 30 - 9 = 51

Since P(3) ≠ 0 then (x + 3) is not a factor of P(x)

Anika [276]3 years ago

4 0

Answer:

Step-by-step explanation:

2(3)³ + 4(3)² - 10(3) - 9

= 51

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One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the s

Reptile [31]

Answer:

5 cm

Step-by-step explanation:

Let the shorter side be a, longer side be b, hypotenuse be c

By Pythagorean theorem:

a² + b² = c²

a² + (a + 7)² = (a + 8)²

a² + a² + 14a + 49 = a² + 16a + 64

a² - 2a - 15 = 0

a² + 3a - 5a - 15 = 0

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(a + 3)(a - 5) = 0

a = -3 or a = 5

Because a is a side length and is a positive number

a = 5

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3 years ago

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fgiga [73]

Answer:

Step-by-step explanation:

-1

8 0

3 years ago

Read 2 more answers

Click the picture that I sent you

Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: $P=P_oe^{kt}$

P: final population
P₀: initial population
k: rate of decay (or growth)
t: time

Use the half life information to find k:

$\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}$