Factor 6(×)^3+43(×)^2+79(×)+12

Mathematics

1 answer:

Marysya12 [62]2 years ago

3 0

The answer is (6x+1)•(x+4)•(x+3)

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OLLEGE

Sophie [7]

Part 1

$(f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is $\boxed{[0, \infty)}$

Part 2

$(g \circ f)(x)=g(4x+1)=\sqrt{4x+1}$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

$4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}$

Thus, the domain in interval notation is $\boxed{\left[-\frac{1}{4}, \infty)}$

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1 year ago

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Sergeu [11.5K]

Your answer should be 0.3000

5 0

2 years ago

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This circle is centered at the orgin, and the length of it’s radius is 5. What is the ewuation of the circle?

pav-90 [236]

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad 
radius=\stackrel{5}{ r}
\\\\\\
(x-0)^2+(y-0)^2=5^2\implies x^2+y^2=25$

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2 years ago

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The slide at the playground has a height of 5 feet.

LenaWriter [7]

Answer:

Assuming the slide is straight - 12 feet

Step-by-step explanation:

Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.

We know that:

$x^2 + 5^2 = 13^2\\x^2 + 25 = 169\\x^2 = 144\\x = 12 \vee x = -12\textrm{; but -12 doesn't make sense}$