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OlgaM077 [116]
3 years ago
15

Which ordered pair is a solution to the system of linear equations One-half x minus three-fourths y = StartFraction 11 Over 60 E

ndFraction and Two-fifths x + one-sixth y = StartFraction 3 Over 10 EndFraction? (one-fifth, negative two-thirds) (one-fifth, two-thirds) (two-thirds, negative one-fifth) (two-thirds, one-fifth)
Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

its b

Step-by-step explanation:

just took the test

s344n2d4d5 [400]3 years ago
4 0

Answer:

\left(\dfrac{2}{3},\dfrac{1}{5}\right)

Step-by-step explanation:

Given the system of two equations:

\left\{\begin{array}{l}\dfrac{1}{2}x-\dfrac{3}{4}y=\dfrac{11}{60}\\ \\\dfrac{2}{5}x+\dfrac{1}{6}y=\dfrac{3}{10}\end{array}\right.

Multiply the first equation and the second equation by 60 to get rid of fractions:

\left\{\begin{array}{l}30x-45y=11\\ \\24x+10y=18\end{array}\right.

Now multiply the first equation by 4 and the second equation by 5:

\left\{\begin{array}{l}120x-180y=44\\ \\120x+50y=90\end{array}\right.

Subtract them:

(120x-180y)-(120x+50y)=44-90\\ \\120x-180y-120x-50y=-46\\ \\-230y=-46\\ \\y=\dfrac{46}{230}=\dfrac{1}{5}

Substitute it into the first equation:

30x-45\cdot \dfrac{1}{5}=11\\ \\30x-9=11\\ \\30x=11+9\\ \\30x=20\\ \\x=\dfrac{2}{3}

The solution is \left(\dfrac{2}{3},\dfrac{1}{5}\right)

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<h3>Answer:  729 cubic meters</h3>

Work Shown:

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A slight shortcut would be to say 9^3 = 729

8 0
2 years ago
I don’t know how to do this
stich3 [128]

To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

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The limits match, so g is continuous.

For the others: Each of the individual pieces of f,h are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.

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Step-by-step explanation:

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Which graph can be seen below

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