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3 years ago

Is x-2 a factor of 4x^5 +5x^4 +1?

Mathematics

1 answer:

nordsb [41]3 years ago

8 0

Answer:

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and f(x) = 4 $x^{5}$ + 5 $x^{4}$ + 1 , then

f(2) = 4 $(2)^{5}$ + 5 $(2)^{4}$ + 1

= 4(32) + 5(16) + 1

= 128 + 80 + 1

= 209

Since f(2) ≠ 0 then ( x - 2) is not a factor

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Solve for w. -22w-5)+5w-5(w+4) Simplify your answer as much as possible.

Anna [14]

Answer: −22w−25

Step-by-step explanation: Distribute:

=−22w+−5+5w+(−5)(w)+(−5)(4)

=−22w+−5+5w+−5w+−20

Combine Like Terms:

=−22w+−5+5w+−5w+−20

=(−22w+5w+−5w)+(−5+−20)

=−22w+−25

8 0

3 years ago

Find the unknown side lengths in these right triangles.

ivolga24 [154]

Answer:

Triangle 1 - $\sqrt{29$ (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2- i couldnt figure this one out- may not be true

Pythagorean Theorem is... C) true for all right triangles

Step-by-step explanation:

4 0

3 years ago

-6x^3-y^2-3 ×=2 y=4 what is value

harkovskaia [24]

- 67

substitute the given values for x and y into the expression and evaluate

= - 6(2)³ - (4)² - 3 = ( - 6 × 8 ) - 16 - 3 = - 48 - 16 - 3 = - 67

5 0

3 years ago

Read 2 more answers

The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 20

drek231 [11]

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, $P=P_0e^{bt}$

where, $P_0$ and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

$9600=P_0e^{b\times 0}$

So, $P_0=9600$

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

$18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\$

$\ln(23/12}=6b \\\\$

$b = \frac{\ln{1.92}}{6} \\\\$

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

$P=9600 \times e^{0.109\times t}$

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

$P=9600 \times e^{0.109\times 15}=49243$

Hence, the population of the rabbit in 2009 is 49243.

7 0

3 years ago

What is 12% of 36?(finding a part of a whole)

Luden [163]

Answer:

4.32 is 12% of 36

Step-by-step explanation:

3 0

3 years ago