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2 years ago

The function f(x) is graphed below. The domain of the function is

Mathematics

1 answer:

GarryVolchara [31]2 years ago

5 0

Answer:

[-1, infinity)

Step-by-step explanation:

The graphs starts from X=1 and remains defined from X =1 to infinity. The domain of the function is, thus, [-1, infinity)

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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.

mojhsa [17]

Answer:

$a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216$

Step-by-step explanation:

Use formula

$(u+v)^3=u^3+3u^2v+3uv^2+v^3.$

Hence,

$(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.$

This expression is equal to

$x^3-18x^2+24bx-c,$

so we can equate the coefficients at powers of x:

$x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.$

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3 years ago

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DerKrebs [107]

It's the first one. y can equal x as long as y doesn't equal x multiple times. We also know the last two are wrong because they're saying the same thing. A linear function is a straight line.

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2 years ago

Find AB if A(0,3) and B(2,7)<br><br> AB= ?

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3 years ago

Simplify (tan(θ)+cot(θ))/(sec(θ)•csc(θ)) completely

AlekseyPX

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2 years ago

The function f(x) is graphed below. The domain of the function is​

The function f(x) is graphed below. The domain of the function is