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3 years ago

Re write the equation in standard form y=8x+2

Mathematics

1 answer:

quester [9]3 years ago

5 0

Standard form: 8x - y = -2

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Confused on how to write the equation due to the graph having a point at (1,2).

kari74 [83]

Answer:

The line passes through (1,2) and (4,4)

The equation,

$\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1}$

$\frac{y - 2}{x - 1} = \frac{4 - 2}{4 - 1} = \frac{2}{3}$

$3(y - 2) = 2(x - 1)$

$= > 3y - 6 = 2x - 2$

$= > 2x - 3y - 2 + 6 = 0$

$= > 2x - 3y + 4 = 0$

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4 years ago

A model for tumor growth is given by the Gompertz equation dV dt = a (In b-, In V) V where a >0 and b >0 are constants and

Xelga [282]

Answer:

$V(t) = b^{(1-e^{-at})}$

Step-by-step explanation:

We are given the following information in the question:

$\displaystyle\frac{dV}{dt} = a (In b - In V) V$

where a > 0 and b > 0.

$\displaystyle\frac{dV}{dt} = a (In b-In V) V\\\\\displaystyle\frac{dV}{dt} = -aV(ln\frac{V}{b})\\\\\frac{dV}{V(ln\frac{V}{b})} = (-a)dt\\\\\text{Put } ln\frac{V}{b} = z\\\\\text{Integrating both sides}\\\\\int \frac{dV}{V(ln\frac{V}{b})} = \int (-a)dt\\\\\text{We get}\\\\\int \frac{dz}{z} = \int (-a)dt\\\\\\\text{where C is the constant of integration}$

$V(0) = 1~ mm^3\\V(t) = b.e^{e^{-at+C}}\\\text{Putting t =0, V(0) = 1}\\\\V(0) = 1 = b.e^{e^{C}}\\\\V(t) = b^{(1-e^{-at})}$

where v(t) is the required tumor volume as a function of time that has an initial tumor volume of V(0) = 1 cubic mm.

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3 years ago

Jean add 35 + 9. How can she solve using only equations to model her thinking?

Alexus [3.1K]

Answer:

( 35+9=44)

Step-by-step explanation:

8 0

4 years ago

I need this ASAP!!<br> Please show work as well, TY SO MUCH!!

shtirl [24]

Answer:

Step-by-step explanation:

19.

a) to find thhe x- intercept we make y=0

x² +4x -5 = 0

(x+5)(x-1) =0

x+5=0 so x=- 5

x-1 =0 so x= 1

y-intercept is at (0, -5)

axis of symmetry is at

x=-b/2a =-4/2*1 = -2

x= -2

vertex is at (-2, -9) because x coordinate is on the axis of symmetry at -2 and

y= x² +4x -5= (-2) ² +4(-2) -5 = 4-8-5 = 4-13 = -9

4 0

3 years ago

Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.

Nonamiya [84]

Answer:

-4.3, -3.4, -0.43, -0.34, -0.043

7 0

3 years ago