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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

2 answers:

ANTONII [103]3 years ago

8 0

(x²+4x-12)/(x-2)=0
(x+6)(x-2)/(x-2)=0
x+6=0
x=-6
(-6,0)

riadik2000 [5.3K]3 years ago

6 0

Answer: (2, 8)

Step-by-step explanation:

$f(x)=\dfrac{x^2+4x-12}{x-2}\\\\.\quad=\dfrac{(x+6)(x-2)}{(x-2)}\\\\\text{The denominator cannot equal zero so x - 2}\neq 0\ \rightarrow\ x\neq 2\\\text{Since, (x-2) can be canceled out, there is a hole at x = 2}\\\\f(x)=x+6\\f(2)=2+6\\.\ \ \quad =8\\\\\text{So, the coordinate of the hole is:}\ (2, 8)$

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3 years ago

Read 2 more answers

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If

Thepotemich [5.8K]

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition

P(A | B) = P(A∩B)/P(B).

Since

P(A∩B) = 0, then P(A | B) = 0

Is P(A | B) equal to P(A)?

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

P(A | B) = P(A) and P(B | A) = P(B)

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, A and B are dependent.

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

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3 years ago

An accident at an oil drilling platform is causing a circular-shaped oil slick to form. The volume of the oil slick is roughly g

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Answer:

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Step-by-step explanation:

we have

$V(r)=0.07\pi r^{2}$ -----> equation A

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To find out (V of r)(t) substitute equation B in equation A

$V(r(t))=V(t)$

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$V(t)=0.0112\pi t^{2}$

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3 years ago

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax 2 about the y-

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Answer:

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Step-by-step explanation:

(1) Constant. y(x) = a $x^{2}$ that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.

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so we have now.

y(x) = $\frac{1}{2}x^{2}$ (Done with solving for a Constant).

(2) Surface Area.

Setting Up surface integral.

(i) range in x = 0 to 4.

(ii) range in y = 0 to 2.

integral is.

Integral(0-2)[{integral[(0-4) $\frac{1}{32}$ $x^{2}$ ]}]dy

Evaluating this integral gives. $\frac{4}{3}$ $ft^{2}$ .

and area is surface area + area of the circle with 8ft diameter.

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Note the Difference between area and aurface area.!

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