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3 years ago

G(n) = 2n^2 - 4n; Find g(-9)

Mathematics

1 answer:

rusak2 [61]3 years ago

6 0

Answer:

g(n) = 2n^2 - 4n; Find g(-9)

The answer is 170, because you have to plug in -9 for all the N values. When you do that, just follow PEMDAS.

P-Parentheses

E-Exponents

M-Multiplication

D-Division

A-Addition

S-Subtraction

Step-by-step explanation:

g(-9) = 2(-9)^2 - 4(-9)

g(-9) = 18^2 -4(-9)

g(-9) = 134+36

g(-9) = 170

I really hope this helps!

Sincerely,

Josiah Kumai

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3 years ago

A pair of earrings has a 130% markup rate based on cost. The selling price is $77.77. What is the cost to the nearest cent?

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3 years ago

The cost to produce a product is modeled by the function f(x) = 5x2 − 70x + 258 where x is the number of products produced. Comp

Nutka1998 [239]

The cost to produce a product is modeled by the function $f(x)=5x^{2}-70x+258$ , where x is the number of products produced.

We have to determine the minimum cost of producing this product.

Since, $f(x)=5x^{2}-70x+258$

Now, consider the equation $5x^{2}-70x+258=0$

Dividing the above equation by 5, we get

$x^{2}-\frac{70x}{5}+\frac{258}{5}=0$

$x^{2}-14x+\frac{258}{5}=0$

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing .

Since, coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting $7^{2}$ from the above equation.

$x^{2}-14x+(7)^{2}-(7)^{2}+\frac{258}{5}=0$

$x^{2}-14x+49-49+\frac{258}{5}=0$

$(x-7)^{2}-49+\frac{258}{5}=0$

$(x-7)^{2}+\frac{258-245}{5}=0$

$(x-7)^{2}+\frac{13}{5}=0$

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Now, we have to determine the minimum cost to produce the product.

Since, $f(x)=5x^{2}-70x+258$

$f'(x)=10x-70$

Now, let f'(x)=0

$10x-70=0$

$10x=70$

Therefore, x=7

Now, consider $f''(x)=10$ which is greater than 0.

Therefore, x= 7 is the minimum cost.

The minimum cost to produce the product is $7.

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3 years ago

Read 2 more answers

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3 years ago

Your bedroom is in the shape of a square that is 12 feet long on each side. Will a circular rug with a circumference of 40.82 fe

stiks02 [169]

We know the area of the rug must be smaller than the area of the room, aye?
we simply need to find the area of the room and the rug, and then compare them :)

the room is easy, we know its a SQUARE, the area for a square is:
<em>l x w = A
</em>
the length and width of a SQUARE are always the same
(12 x 12 = 144)

the area of the room is 144 (remember that, we will come back to it later)

now, the area of the CIRCLE
is $A= \pi r^2$
we are given the circumfrence..... awww dang Dx ughhh okok fine, we can work through this (-~-)

the circumfrence is the distance around a circle (like a perimeter)

$C= \pi (d)$

we know pi is 3.14, we know the circumfrence is 40.82,

40.82 = 3.14(d)

we now must solve for d by dividing both sides of the equation by 3.14
we get
d = 13

YAYYYYY ok, NOW we can find the area of the circle :)

as i was saying, the area is
A = π r²
where r is the radius (which is Half of the diameter we found earlier)

plugging in the things we know,

A = (3.14) (13/2)²
we get
A = 132.665

In conclusion, the area of the circle is less than the area of the square, HOWEVER!!!
remember how the diameter (of the rug) is 13? The length of the room is only 12 units ;) sneaky little question hahaha, anyways, the rug will NOT fit becuase it has a larger diameter than the rooms length :/

imagine fitting a circle into a square thats too small, the corners fit, but the middles dont :(

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3 years ago