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Kaylis [27]
3 years ago
13

Determine which consecutive integers do not have a real zero of f(x) = x3 + 9x2 + 8x – 5 between them.

Mathematics
1 answer:
beks73 [17]3 years ago
6 0

The difference between the two is 4,5

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During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon
Likurg_2 [28]

Answer:

The exponential growth function is P=145380e^{0.04103t}

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by P=P_0 e^{kt}

Here, P denotes total population after time t

P_0 denotes initial population

k denotes rate of growth

t denotes time

As P(0)=145,380,

145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}

As P(10)=219135

219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}

8 0
3 years ago
An 18 pound turkey cooks for 4.5 hours. How long will it take for a 12 pound turkey to cook?
OverLord2011 [107]

Answer:

3 hours

Step-by-step explanation:

We can solve using ratios

18 lbs            12 lbs

------------ = --------------

4.5 hrs          x hours

Using cross products

18x = 12 * 4.5

18x = 54

Divide by 18

18x/18 = 54/18

x=3

6 0
3 years ago
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PLEASE HELP ASAP! What are the solutions to the system of equations?
musickatia [10]
Y=2x

so what you do is sub 2x for y in the top equation

x^2+(2x)^2=5
x^2+4x^2=5
5x^2=5
divide both sides by 5
x^2=1
sqrt both sides
x=1 or -1

sub back

y=2x

y=2(-1)
y=-2

y=2(1)
y=2


the solutions are (1,2) and (-1,-2)
8 0
3 years ago
a picture contains 2/3 quart of water if an equal amount of water is poured into each of six glasses how much water will each gl
Ulleksa [173]
Each glass will contain 1/6 quart of water
7 0
3 years ago
What is the product? Enter your answer as a fraction, in simplified form, in the box. 38⋅(−36)
valina [46]
If you multiply 38*(-36) you would get -1368. And to convert that into a fraction it could be -1368/1, -13680/10, etc.
8 0
3 years ago
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