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Inga [223]
4 years ago
7

Consider the system of equations. 5x – 2y = 6 –10x + 4y = –12 Check all the statements that are true. a)the lines coincide. b)Th

e system has no solution. c)The slopes are equal. d)The y-intercepts are equal. e)The system has an infinite number of solutions
Mathematics
1 answer:
QveST [7]4 years ago
5 0

Answer:

a) the lines coincide, c) the slopes are equal, d) the y-intercept are equal, e) the system has an infinite number of solutions.

Step-by-step explanation:

Each equation is a multiple of the other one. Thus, the system of equation has an infinite of solutions, reports same slopes and y-intercepts and coinciding lines.

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Allisa [31]
Do you need help or you just wanted the answer?
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3 years ago
6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at
SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through  \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\

Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}

7 0
3 years ago
Pls help me what is the equation for this graph pls get it right :)
rewona [7]

Answer: Y= 1/8x -2

Step-by-step explanation:

Y = mx+ b

Slope = y2-y1/x2-x1 = -1+2 / 8-0 = 1/8

Initial Y-Value = -2

5 0
3 years ago
Read 2 more answers
Please help me <br><br> 8 a^-2=
inessss [21]

Answer:

8/a^2

Step-by-step explanation:

6 0
3 years ago
HELP WILL MARK BRAINLIEST
kobusy [5.1K]

Answer:

(16)(1)                          => identity property of multiplication

2(3+7) = 2(3) + 2(7)    => distributive property

(2+6) + 3 = 2+ (6+3)   => associative property

9+0 = 9                      => identity property of addition

8 x 4 = 4 x 8              => commutative property

5 0
3 years ago
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