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3 years ago

What is the value of the expression when n = 3?

Mathematics

1 answer:

sesenic [268]3 years ago

8 0

Answer:

B) 22

Step-by-step explanation:

The expression is:

$\cfrac{6(n^2+2)}{n}$

Find its value when n = 3, substitute n with 3 in the expression:

$\cfrac{6(3^2+2)}{3} =\cfrac{6(9+2)}{3} =\cfrac{6(11)}{3}=2(11) = 22$

The matching answer choice is B.

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The function f(x) = -(x-3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of

pashok25 [27]

Answer:

Maximum area = 9 sq units

Step-by-step explanation:

$f(x)=-(x-3)^2+9$

which represents the area . As it is a quadratic equation it represents the parabola . And the vertex of the parabola will maximum area of for some value of x

let f(x) = y

$y=-(x-3)^2+9$

$(x-3)^2=-(y-9)$

Comparing it with the standard equation of parabola

$y=(x-h)^2+k$

we get h=3 and y=9

where (h,k) is the vertex (3,9)

Hence the maximum area of the rectangle will be 9

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4 years ago

Dora a polygon usually have more sides or more angles

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3 years ago

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If 25 percent of all students in the 7 Th grade have pets, and there are 40 students with pets, how many total students are in t

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Answer:

Step-by-step explanation:

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3 years ago

Absolute value of -12 and -15

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It’s been a while since I did Math but, in most scenarios, when you solve for an equation with only 1 x variable and you substit

patriot [66]

Let's replace every copy of x with 7 and simplify.

$\sqrt{5x+1}+9 = 3\\\\\sqrt{5*7+1}+9 = 3\\\\\sqrt{35+1}+9 = 3\\\\\sqrt{36}+9 = 3\\\\6+9 = 3 \ \text{ .... note the 6 on the left isn't negative}\\\\15 = 3\\\\$

Which is clearly false. This is probably the set of steps you followed to get "no solution".

Why is there no solution? Well let's subtract 9 from both sides to isolate the square root

$\sqrt{5x+1}+9 = 3\\\\\sqrt{5x+1}+9-9 = 3-9\\\\\sqrt{5x+1} = -6\\\\$

Recall that the result of a square root operation is never negative. The range of $y = \sqrt{x}$ and $y = \sqrt{5x+1}$ is the set of nonnegative numbers. There is no way we can have the left hand side result in -6

If there was a negative sign out front the square root and we have this instead

$-\sqrt{5x+1}+9 = 3\\\\$

then the answer would be x = 7

Unfortunately, there isn't such a negative sign, so we stick with "no solutions".

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2 years ago