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Kipish [7]
2 years ago
9

Write 2.04 × 10 ⁴ as an ordinary number

Mathematics
1 answer:
ivann1987 [24]2 years ago
8 0

Answer:

20400

Step-by-step explanation:

its 2.03x10x10x10x10 so first ten: 20.4 and ten: 204 3rd ten: 2040 last ten :20400

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10
damaskus [11]

Answer:

4

Step-by-step explanation:

set

f(x,y)=x+y\\

constrain:

g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10

Partial derivatives:

f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2

Lagrange multiplier:

grad(f)=a*grad(g)+b*grad(h)\\

\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]

4 equations:

1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10

By solving:

a=4/9\\b=-2/27\\x+y=4

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4

The maximum is 4

6 0
3 years ago
PLEASE HELP! I'm struggling on questions like this one. If you can please help on other questions but that's up to you! I will g
Setler79 [48]

Answer:

y=3/2x+3

Step-by-step explanation:

the line hits the y-axis at 3 so b=3 and the change in y is up 3 and the change in x is to the right 2 so the change in y over the change in x is 3/2

7 0
3 years ago
Is this true?
mars1129 [50]

Answer:

Yes!

Step-by-step explanation:

If you work out the opperation it is true!

(I would do it, but the numbers a really big. :D But trust me i did it and it worked. ^_^)

7 0
3 years ago
What value of x makes this equation true? 12x - 15 = 6x - 3
djverab [1.8K]

Answer:

2

Step-by-step explanation:

12 x - 15 = 6x - 3

12 x - 6x = 15 - 3

6x = 12

x = 12/6 = 2

3 0
3 years ago
Write an inequality that describes the graph.<br><br> PLEASE HELP ASAP
Ugo [173]

Answer:

When writing an inequality from a graph, there are a few things we need to do:

Determine the equation of the line. This gives us the general form of our inequality once we remove the equal sign.

Note whether the line is dotted or solid. ...

Use the graph's shading to determine which way you

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