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Andrej [43]
2 years ago
13

Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid

Mathematics
1 answer:
stellarik [79]2 years ago
3 0

Domingo earns 715$ in the week that is his gross income

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Which input value produces the same output value for the two functions on the graph?
DiKsa [7]

Answer:

The input value is 3/4

Step-by-step explanation:

we know that

The input value that produces the same output value for the two linear functions, is the intersection point both graphs

we have

f(x)=-3x+1 ---> equation A

g(x)=x-2 ---> equation B

Equate equation A and equation B

x-2=-3x+1

solve for x

3x+x=1+2

4x=3

x=\frac{3}{4}

therefore

The input value is 3/4

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Step-by-step explanation:

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M+n+3+m+n+4
=3m+2n+7

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Kelly a three apples this represents 50% of the bag of apples how many apples were originally in the bag
lord [1]
6 apples were originally in the bag
7 0
3 years ago
ank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains30 gallons of water in which 5
adell [148]

Answer:

\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}

\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}

x(0)=20,y(0)=5

Step-by-step explanation:

We are given that

Tank A contains water=80 gallons

x(0)=20,y(0)=5

Tank B contains water=30 gallons

Rate=4 gallon/min

Concentration of salt  is pumped into tank=0.5 pound /gallon of water

Solution pumped from tank A to tank B at the rate=6 gallons/min

Solution pumped from tank B to tank A at the rate=2gallon/min

Solution from tank B is pumped out of the system at the rate=4 gallon/min

We have to find the DE at time t

For x

Rate in=0.5\times 4+y(t)/30\times 2

Rate in=2+y/15

Rate out=x/80\times 6

Rate out=3x/40[/tex]

\frac{dx}{dt}=Rate in-Rate out

\frac{dx}{dt}=2+y/15-3x/40

\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}

For y

Rate in=x/80\times 6

Rate in=3/40x

Rate out=y/30\times (4+2)

Rate out=y/5

\frac{dy}{dt}=Rate in-Rate out

\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}

8 0
2 years ago
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