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3 years ago

F(x)=x2

Mathematics

2 answers:

ehidna [41]3 years ago

7 0

Answer:

x²-6x+9

Step-by-step explanation:

f(x) = x²

g(x) = x-3

f(g(x)) = (x-3)²

=(x-3) (x-3)

= x²-3x-3x+9

= x²-6x+9

Paraphin [41]3 years ago

7 0

Answer:

$f(x) = {x}^{2} \\ g(x) = x - 3 \\ f(g(x) = f(x - 3) = {(x - 3)}^{2} \\ = {x}^{2} - 2 \times x \times 3 + {3}^{2} \\ = {x}^{2} - 6x + 9 \\ thank \: you$

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Solve by using proper methods.

oksano4ka [1.4K]

Answer:

Approximately after 66.15 years, there will be 100 coyotes left

Step-by-step explanation:

We can use the formula $F=P(1+r)^t$ to solve this.

Where

F is the future amount (F=100 coyotes)

P is the initial amount (P=750 coyotes)

r is the rate of decrease per year (which is -3% per year or -0.03)

t is the time in years (which we need to find)

Putting all the information into the formula we solve.

<u>Note:</u> The logarithm formula we will use over here is $ln(a^b)=bln(a)$

So, we have:

$F=P(1+r)^t\\100=750(1-0.03)^t\\100=750(0.97)^t\\\frac{100}{750}=0.97^t\\\frac{2}{15}=0.97^t\\ln(\frac{2}{15})=ln(0.97^t)\\ln(\frac{2}{15})=tln(0.97)\\t=\frac{ln(\frac{2}{15})}{ln(0.97)}\\t=66.15$

Hence, after approximately 66.15 years, there will be 100 coyotes left.

Rounding, we will have 66 years

4 0

3 years ago

Solve the iniequality 3x-3<9

expeople1 [14]

Answer:

$3x < 3 + 9 \\ \\ 3x < 12 \\ \\ x = 4$

8 0

3 years ago

When csc(Theta)sin(Theta) is simplified, what is the result?

Arlecino [84]

Answer:

csc θ ⋅ sin θ = 1

Explanation:

csc θ = 1 /sin θ

csc θ ⋅ sin θ

= 1 /sin θ ⋅ sin θ

= sin θ/sin θ

= 1

7 0

3 years ago

The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers?

AnnyKZ [126]

Answer:

Step-by-step explanation:

What are the two closest square numbers to 73?

64 and 81

$\sqrt{64} \leq \sqrt{73} \leq \sqrt{81}\\8\leq \sqrt{73} \leq 9\\8*9 = 72$

3 0

3 years ago

Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25 Find the tip using that method. Halp

gizmo_the_mogwai [7]

Answer:

$3.4875

Step-by-step explanation:

AS the ride is completed and according the rule the person have to give a tip on the total taxi ride

according to the given

tip given 15%

Total ride cost = $23.25

To find is the total tip given in dollars

Solution:

Total tip in dollars = 15 % of total ride cost

Putting the values of the given

Total tip in dollars = 15 % of 23.25

it can be written as

= $\frac{15*23.25}{100}$

= $\frac{348.75}{100}$

=$ 3.4875

So the total tip would be $3.4875

7 0

3 years ago