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Liono4ka [1.6K]
3 years ago
12

Help me :) I need help Algebra 2

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
What is the question?
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The Art Museum has 25 exhibits and 200 visitors every day. What is the ratio of exhibits to daily visitors?
EastWind [94]

Answer: 1:8 (or 1/8)

Step-by-step explanation:

Compare the number of exhibits to daily visitors.

25: 200

Simplify.

1:8 or 1/8

3 0
3 years ago
Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a
Aloiza [94]

Answer:    

   \frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

Step-by-step explanation:

Given equation is x^{3}+y^{3}+z^{3}=3xyz ………………(1)

we use derivative formula \frac{d}{dx}(x^{n})  = n x^{n-1}

\frac{d}{dx}(x^{3)}  = 3 x^{2}

\frac{d}{dx}(z^{3)}  = 3 z^{2}

And also apply 'u v' formula

\frac{d}{dx}(uv})  = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)

Differentiating  equation (1) partially with respective to 'x' , we treated 'y' as constant.

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))   ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').

on simplification , we get

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =(3yx\frac{∂z}{∂x}+3yz)

again simplification, we get

3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}

taking common '\frac{∂z}{∂x} on left on side , we get

(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}

dividing '(3z^{2}- 3yx) on both sides, we get

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

<u>Final answer</u>:-

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

6 0
3 years ago
I need to know what equals y
inn [45]

Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0

5 0
3 years ago
What are the zeros of the function f(x)= 2x^2+16x-9
Lana71 [14]
So the step process for this is to factor it out so this is a complex trinomial so u will have to multiply 2 by -9 and the rest should be in your notes .

then once u factor it out you rearrange those two factored brackets and example of this would be

(x+3)(2x+1)

so x+3=0
therefore x=-3. you bring the 3 over to where the zero is and change the sign

for 2x+1=0
2x=-1
2x/2=-1
x=-1/2

so for this one you isolate for x and in order to get rid of 2x you divide by 2 for both
6 0
4 years ago
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 100.
AlexFokin [52]

Answer:

100 = 2(x+x+4)

100=4x+8

92=4x

23=× max

x \leqslant 23

7 0
4 years ago
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