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Harman [31]
3 years ago
6

Factor completely: 8y3 - 4y2 + 6y - 3

Mathematics
1 answer:
Scrat [10]3 years ago
8 0

The answer is C.

Here is the proof,

8y^3-4y^2+6y-3 \\4y^2(2y-1)+3(2y-1) \\\boxed{(2y-1)(4y^2+3)}

Hope this helps.

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
4 years ago
-6+ (-19) =<br> Evaluate
artcher [175]
The answer if you need helo with math like this come to me -25
5 0
3 years ago
A straight line has an equation y= 4x=5 Write down the equation of the straight line that is parallel to y=4x-5 and passes throu
Eduardwww [97]


Parallel lines have same slope but different y-intercept. So they gave the equation y=4x-5 and the (0,3) where 3 is the y-intercept.


So the equation would be y=4x+3. HOPE THIS HELPS!!!!!!!!

7 0
3 years ago
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Find all solutions to 2sin(θ)=√3 on the interval 0≤θ&lt;2π
makkiz [27]

Answer:

2sin(3θ) - √3 = 0

Step-by-step explanation:

 sin(3θ) = √3/2

 

3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...

 

θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3

 

If k = 0, we get θ = π/9, 2π/9

If k = 1, we get θ = 7π/9, 8π/9

If k = 2, we get θ = 13π/9, 14π/9

 

Other values of k give values of θ lying outside of the interval [0, 2π).

7 0
3 years ago
Which is the farthest away from sea level,-3, -2, -0.8, 1/10, 1/2, 0.8, 7
ICE Princess25 [194]

Answer: 7

Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.

The answer is 7. Hope this helps!

8 0
3 years ago
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