Which graph represents the function f(x) = –|x + 3|?

Mathematics

1 answer:

lord [1]3 years ago

6 0

Answer:

Where are the graph(s)?

Step-by-step explanation:

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What is the third term in the binomial expansion of (3x y3)4? 54x2y3 18x2y3 18x2y6 54x2y6.

hjlf

From the simplified form of the expression, the third term on expansion is $54x^2y^6$

Given the expression $(3x + y^3)^4$

For binomial expansion, the power of 3x will be decreasing while y^3 will be increasing.

On expansion, the resulting expression will be:

$=(3x + y^3)^4\\=(3x)^4(y^3)^0 + 4 (3x)^3(y^3)^1 + 6(3x)^2(y^3)^2 + 4(3x)^1(y^3)^3 + (3x)^0(y^3)^4\\$

Simplify the result to have:

$=81x^4+81x^3y^3+54x^2y^6+12xy^9+y^{12}$

From the simplified form of the expression, the third term on expansion is $54x^2y^6$

Learn more on binomial expansion here: brainly.com/question/13800206

8 0

2 years ago

I need help ASAP giving brainliest!!

Olin [163]

Answer:

isosceles and right

I'm not sure

3 0

2 years ago

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Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$