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GenaCL600 [577]
3 years ago
10

0.5x + 4 + 0.9x = x + 5

Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0

Answer:

x=2.5

Step-by-step explanation:

kozerog [31]3 years ago
5 0

Answer:

0.5x + 4 + 0.9x = x + 5

collect like terms together:

0.5x + 0.9x - x = 5 - 4 \\ x(0.5 + 0.9 - 1) = 1 \\ 0.4x = 1 \\ x =  \frac{1}{0.4}  \\  \\ { \boxed{ \boxed{x = 2.5}}}

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What exponential function is the best fit for the data in the table?
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You could also input the x values and see which equation produces the y values in the chart. 

On thing to notice is the we have negative output values, there we need to pick either B or D, so the values go beneath the x-axis.
7 0
4 years ago
Read 2 more answers
Find the area of the parallelogram with vertices a(1,2,3), b(1,3,6), c(3,8,6), and d(3,7,3,)
Julli [10]
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4 0
4 years ago
Let divf = 6(5 − x) and 0 ≤ a, b, c ≤ 12. (a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤
dusya [7]
Continuing from the setup in the question linked above (and using the same symbols/variables), we have

\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}(\nabla\cdot f)\,\mathrm dV
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The next part of the question asks to maximize this result - our target function which we'll call g(a,b,c)=3abc(10-a) - subject to 0\le a,b,c\le12.

We can see that g is quadratic in a, so let's complete the square.

g(a,b,c)=-3bc(a^2-10a+25-25)=3bc(25-(a-5)^2)

Since b,c are non-negative, it stands to reason that the total product will be maximized if a-5 vanishes because 25-(a-5)^2 is a parabola with its vertex (a maximum) at (5, 25). Setting a=5, it's clear that the maximum of g will then be attained when b,c are largest, so the largest flux will be attained at (a,b,c)=(5,12,12), which gives a flux of 10,800.
7 0
3 years ago
Given the definition of like terms and hence simplify by removing brackets and collecting like terms :
Vedmedyk [2.9K]
First, distribute to cancel out brackets
= m-n+p-2m+2p-3n-n+m-2p

Collect like terms
= -5n+p

Your answer: -5n + p

Hope this helped :)
4 0
4 years ago
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3 years ago
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