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3 years ago

What is the solution to this equation?

Mathematics

2 answers:

solong [7]3 years ago

8 0

Answer:

4x=32

or,x=32/4

therefore,x=8

Vlad1618 [11]3 years ago

6 0

Answer:

it is D because you would need to divide both numbers by 4 to get x by itself and 32 divided by 4 is 8 so X=8

Step-by-step explanation:

Hope this helps!!

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The revenue from selling x shirts is r(x) = 12x.

Nana76 [90]

The answer will be A.
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That is your answer

7 0

3 years ago

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aev [14]

Answer:

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Step-by-step explanation:

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3 years ago

The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i

madam [21]

You're looking for the extreme values of $T(x,y,z)=3x+6y-6z+1$ subject to $x^2+y^2+z^2=9$ . The Lagrangian is

$L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)$

with critical wherever the partial derivatives vanish:

$L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}$

$L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda$

$L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda$

$L_\lambda=x^2+y^2+z^2-9=0$

Substituting the first three solutions into the last equation gives

$\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9$

$\implies\lambda=\pm\dfrac32$

$\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2$

At these points, we have

$T(1,2,-2)=28$

$T(-1,-2,2)=-26$

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

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3 years ago

At a wedding reception, there will be 1,012 guests. A round table will seat 12 guests. How many round tables will be needed?

Whitepunk [10]

Answer:

85 tables

Step-by-step explanation:

1012 divided by 12 is 84 and 1/3. We want to have room for everyone, so we round up to 85.

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3 years ago

Determine the quadrant(s) in which (x,y) is located so that the condition(s) is (are) satisfied.

polet [3.4K]

Quadrant 2 is the only one that can satisfy the condition. In there, x<0 and y>0

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3 years ago