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icang [17]
3 years ago
7

- 9) = 7 - 4(x + 1)" alt="3x - (5x - 9) = 7 - 4(x + 1)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

3x-(5x-9)=7-4(x+1)\\\\3x-5x+9=7-4x-4\\\\-2x+9=-4x+3\ \ \ \ |-9\\\\-2x=-4x-6\ \ \ \ |+4x\\\\2x=-6\ \ \ \ |:2\\\\x=-3

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At 86 km/h, how many miles can you travel in 30 minutes? Round to the nearest hundredth. Use 1 mi = 1.6 km.
Ray Of Light [21]

Answer:

26.875 = 26.88

86km = 60 minutes

86km/2=

43

43/1.6(kilometers in miles)

26.88

hope this helps uwu

4 0
3 years ago
Minimum Average Cost
Dahasolnce [82]

Answer:

a)\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}

b)\bar{C}(x)=5.81

Step-by-step explanation:

Given that

C = 100 + 25 x - 120 ln x   ,x ≥ 1.

The average cost function given as

\bar{C}(x)=\dfrac{C(x)}{x}

\bar{C}(x)=\dfrac{100 + 25 x - 120 \ln x}{x}

\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx{x}

Therefore

\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}

To find average minimum cost

\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}

\dfrac{d\bar{C}(x)}{dx} = -\dfrac{100}{x^2} +0-120\times \dfrac{1-lnx}{x^2}

0 = -\dfrac{100}{x^2} +0- 120\times \dfrac{1-lnx}{x^2}

100 + 120 (1-lnx) = 0

lnx=\dfrac{220}{120}

ln x =1.833

x=e^{1.833}

x=6.25

\bar{C}(x)=\dfrac{100}{6.25}+25-120\dfrac{ln6.25}{6.25}

\bar{C}(x)=5.81

6 0
3 years ago
Prove the following statement by contradiction using an indirect proof. In a triangle angle A = 90°, then the triangle is a righ
kati45 [8]

Answer:

I prefer taking B

Step-by-step explanation : because when the degree is 90 than it should be a right triangle

3 0
4 years ago
Solve 7m+2n=21 and 10m+4n=-10 with substitution
schepotkina [342]
I hope this helps you



10m+4n= -10


5m+2n= -5


-5m-2n= 5



7m+2n-5m-2n= 21+5


5m=26 m= 26/5


5.26/5+2n= -5


26+2n= -5


2n= -31


n= -31/2
3 0
3 years ago
In the diagram below rs is the perpendicular Bisector of PQ
Makovka662 [10]
No idea what is this for
3 0
3 years ago
Read 2 more answers
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