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3 years ago

(1,5) and (2,3) write a linear function in the form y=Mx+b for the line

Mathematics

1 answer:

Otrada [13]3 years ago

5 0

Answer:

y= -2x + 7

Step-by-step explanation:

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Write an equation that you could use to calculate Jackie's wait time based on the information given.

ExtremeBDS [4]

Answer:

2+w+p

Step-by-step explanation:

7 0

2 years ago

Is 1.7 greater than 1 7/9

Simora [160]

17 = 1 7/10

1.7 < 1 7/9

1.7 is less than 1 7/9

3 0

3 years ago

Read 2 more answers

Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

irga5000 [103]

Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

$y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50$

and

$y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.$

Thus, the required solution is $y=50e^{0.1386t}.$

8 0

3 years ago

Read 2 more answers

How do i calculate root equations

WITCHER [35]

It by root you mean radical equations, well then I can’t help you there, as there is too much stuff to cover.

If you mean zeros, then to find the root of a function you just find the zeros.

7 0

3 years ago

2g + h =2<br>g -h= -5<br><br>find g and h step by step explanation

wel

Answer:

Step-by-step explanation:

2g + h = 2 --------------(I)

g - h = -5------------(II)

g = -5 + h

Plugin g = -5 + h in equation (I)

2(-5 + h) + h = 2 {Distributive property:a(b+c) = a*b +a*c}

(-5)*2 + h *2 + h= 2

-10 + 2h + h = 2

3h = 2 + 10

3h = 12

h = 12/3

h = 4

Substitute h= 6 in equation (I)

2g + 4 = 2

2g = 2 - 4

2g = -2

g = -2/2

g = -1

6 0

2 years ago