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uysha [10]
3 years ago
7

X^2+8x= x 2 +8x= \,\,-x −x

Mathematics
1 answer:
hichkok12 [17]3 years ago
8 0

Answer:

the answer is 8x^3

Step-by-step explanation:

because thats the answer

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What is the central tendencies- mean, median, and mode of this data set?
Anestetic [448]
Mean: 23.25
Median: 24
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5 0
3 years ago
Write the equations of the lines with the following descriptions
Romashka [77]
Answer: Y= -2/3x -3

Explanation: The formula is y-y1=m(x+b).
Fill in what we know, which is,
y-(-5)=-2/3 (x-3) Then you distribute and get y+5=-2/3x+2. Then you subtract 5 from each side and get your final answer of y=-2/3x -3
4 0
3 years ago
A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume t
sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

a)

\frac{dy}{dt}\ \alpha\  y(1-y)

\frac{dy}{dt}=ky(1-y)

where k is the constant of proportionality, dy/dt =  rate at which the rumor spreads

b)

\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}}  =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\

y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days

5 0
2 years ago
2 mixed numbers between 3 and 4 that have a product between 9 and 10
Pavel [41]
2 4
3 4 4 5 9 10 10 8
3 0
3 years ago
Given ​ f(x)=x2+14x+40 ​.<br><br><br> Enter the quadratic function in vertex form in the box.
sammy [17]
Please indicate exponentiation using " ^ "   Thanks.

f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40

Next, complete the square:

</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9 

Write this in the form y = (x+7)^2 - 9  or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
8 0
3 years ago
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