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3 years ago

If f(x) = 3(x+ 5) +4/x, what is f(a+2)?

Mathematics

1 answer:

Eduardwww [97]3 years ago

4 0

Answer:

B. 3(a + 7) + 3/(a + 2)

Step-by-step explanation:

Just substitute (a+2) in for every (x) in the equation:

f(a + 2) = 3 ((a + 2) + 5) + 4/(a+2)

= 3 (a + 7) + 4/(a+2)

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Please explain how they plugged the removable discontinuity in this question.

kondor19780726 [428]

In the limit

$\displaystyle \lim_{x\to c} f(x)$

we're interested in the value that $f(x)$ converges to as $x$ gets closer to $c$ . So in fact $x\neq c$ .

In the given example, $f(x)$ is factorized to reveal a common factor of $x-1$ in the numerator and denominator. We have $x\neq1$ if $x\to1$ , so $x-1\neq0$ so we can simplify

$\dfrac{x-1}{x-1} = 1$

and *remove* the discontinuity.

Then

$\displaystyle \lim_{x\to1} \frac{2(x-1)}{(x+1)(x-1)} = \lim_{x\to1} \frac2{x+1} = \frac2{1+1} = 1$

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2 years ago

Find the diameter of the circular garden whose circumference is 124.03 cm

leonid [27]

Answer:

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<h3>Solve for diameter</h3>

hopefully help:)

Step-by-step explanation:

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6 0

3 years ago

What is the area of trapezoid ABCD? A(-2,2) B(2,5) C(11,-7) D(1,-2)

Ksenya-84 [330]

Answer:

50 sq. units

Step-by-step explanation:

Join one diagonal of the trapezoid ABCD.

Assume that AC is the diagonal.

So, Area of the trapezoid = Area of Δ ABC + Area of Δ CAD.

Now, coordinates of A(-2,2), B(2,5), C(11,-7) and D(1,-2) are given.

We know, that three vertices of a triangle are $(x_{1},y_{1} )$ , $(x_{2},y_{2} )$ and $(x_{3},y_{3} )$ respectively, then the area of the triangle will be given by

$\frac{1}{2} |x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+ x_{3}(y_{1}-y_{2} ) |$

Hence, area of Δ ABC will be

$\frac{1}{2} |-2(5-(-7))+2(-7-2)+11(2-5)|= 37.5$ sq units.

Again, area of Δ CAD will be

$\frac{1}{2} |11(2-(-2))-2(-2-(-7))+1(-7-2)|= 12.5$ sq units.

Therefore, the area of the trapezoid ABCD will be (37.5 + 12.5) = 50 sq, units. (Answer)

4 0

4 years ago

At soccer camp, Belle spent 30 minutes practicing defense and 1 hour and 15 minutes shooting. If the camp ended at 12:15 P.M., w

SVEN [57.7K]

Answer:

10:30 A.M.

Step-by-step explanation:

12:15 P.M. -

01:15 =

11:00 A.M. -

00:30 =

10:30 A.M.

3 0

3 years ago

Find the equation of the exponential function represented by the table below:

kondor19780726 [428]

Answer:

y = 0.2(0.5)^x

Step-by-step explanation:

Exponential function are of the form

y = ab^x

----------------------

To find "a" plug in x = 0 y = 0.2

0.2 = a(0.2)^0

0.2 = a

-------------------------

To find "b" plug in another point and a = 0.2

using x = 2, b = 0.05

0.05 = 0.2b^2

Divide both sides by 0.20

.25 = b^2

Take the square root of both sides

0.5 = b

-----------------------------

With a = 0.2 and b = 0.5 the equation becomes

y = 0.2(0.5)^x

8 0

3 years ago