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2 years ago

8

If

s="latex-formula">² $-x+3$ , then what is the reaminder when $f(x)$ is divided by $x+9$ ?

1 answer:

Paraphin [41]2 years ago

7 0

Answer:

Remainder is 93

Step-by-step explanation:

Use synthetic division:

-9 | 1 -1 3

____<u> -9 90</u>

1 -10 | 93

Therefore, the remainder is 93

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10x+5y+<=75

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2 years ago

9x-7=-7<br><img src="https://tex.z-dn.net/?f=9x%20-%207%20%3D%20-%207" id="TexFormula1" title="9x - 7 = - 7" alt="9x - 7 = - 7"

scZoUnD [109]

Answer:

x= 0

Step-by-step explanation:

Here in this question, we are given a linear equation of single variable x, and we have to solve the equation for x.

The given equation is 9x -7= -7 ....... (1)

Now, taking all the constant terms to the right side of the equation and all the x terms to the left side of the equation.

Hence, the equation becomes

9x = -7 +7

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2 years ago

If N is the population of the colony and t is the time in days, express N as a function of t. Consider Upper N 0 is the origina

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Answer:

(a) $N(t)=Noe^{kt}$

(b)5,832 Mosquitoes

(c)5 days

Step-by-step explanation:

(a)Given an original amount $N_o$ at t=0. The population of the colony with a growth rate $k \neq 0$ , where k is a constant is given as:

$N(t)=Noe^{kt}$

(b)If $N_o=1000$ and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

$1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)$

Therefore, our model is:

$N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t$

In 3 days time

$N(3)=1000\cdot1.8^3=5832$

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

$N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days$

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0

2 years ago

Read 2 more answers

Find the mean, median, and mode of the listed numbers.

-BARSIC- [3]

Step-by-step explanation:

mean: (3 + 2 + 7 + 7 + 3 + 8 + 5 + 7 + 2 +8)/10 = 5.2

median: 2, 2, 3, 3, 5, 7, 7, 7, 8, 8 hence median is (5 + 7) / 2 = 6

mode: 7

Topic: mean median mode

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

3 0

2 years ago