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3 years ago

Factor completely. 9x4 + 12x3 – 45x2 – 60x

Mathematics

2 answers:

faust18 [17]3 years ago

8 0

The answer is C if not sorry

Fofino [41]3 years ago

7 0

Answer: The correct option is

(C) $3x(x^2-5)(3x+4).$

Step-by-step explanation: We are given to completely factor the following bi quadratic expression :

$E=9x^4+12x^3-45x^2-60x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given expression does not contain the constant term, so we will take out the x-term common and then will try to factorize the remaining cubic expression.

The factorization of expression (i) is as follows :

$E\\\\=9x^4+12x^3-45x^2-60x\\\\=3x(3x^3+4x^2-15x-20)\\\\=3x(x^2(3x+4)-5(3x+4))\\\\=3x(x^2-5)(3x+4).$

Thus, the required factored form of the given expression is $3x(x^2-5)(3x+4).$

Option (C) is CORRECT.

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3 years ago

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amm1812

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3 years ago

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olganol [36]

Answer:

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3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig

Vladimir [108]

Answer:

The equation is given by:

$D(t) = 80 + 9\sin{0.2618t}$

Step-by-step explanation:

Sine function:

Has the following format:

$y = A\sin{bx}$

In which A is the amplitude and $\frac{2\pi}{b}$ is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that $A = 9$

During a 24-hour day, which means that the period is 24. So

$\frac{2\pi}{b} = 24$

$24b = 2\pi$

$b = \frac{2\pi}{24}$

$b = 0.2618$

So the variation is:

$V(t) = 9\sin{0.2618t}$

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

$D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}$

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3 years ago

Mark which ratios are equivalent to 5/7. Mark all that apply.

HACTEHA [7]

Answer:

5/10 20/28

Step-by-step explanation:

i think only these.. hope this helps..

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3 years ago

Read 2 more answers