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3 years ago

11

Which of the following options is an equivalent function to f(x) = 3(2)3x?

2 answers:

Nataly_w [17]3 years ago

7 0

Answer:

F(x)=3(8)^x

Step-by-step explanation:

belka [17]3 years ago

5 0

So based on the given function above, the one that is equivalent to it would be the first option. So as you see, there might be a slight difference because the actual function should be written like this: f(x) = 3(2)^3x. Therefore, basing on this, the answer would be the first option: <span>f(x) = 3(8)^x. Hope this answer helps.</span>

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2. The number of atoms of a particular chemical element is modelled by

____ [38]

9514 1404 393

Answer:

a) 600

b) see below

c) 1.26 hours

Step-by-step explanation:

a) The value of y when x=0 is the coefficient of the exponential term:

y = 600·3^(-0) = 600·1 = 600

There were 600 atoms to start.

__

b) see attached for a graph

__

c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.

If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.

150 = 600·3^(-x)

150/600 = 3^(-x)

log(1/4) = -x·log(3)

x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595

After about 1.26 hours, there were 150 atoms.

6 0

3 years ago

Solve the following rational equation plz help!!

Yuri [45]

Answer:

x = $\frac{9}{4}$

Step-by-step explanation:

Given

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x^2+x}$ ← factor denominator

$\frac{4x}{x+1}$ - $\frac{5}{x}$ = $\frac{4}{x(x+1)}$

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = $\frac{9}{4}$

However, x ≠ - 1 for reason given above, then

solution is x = $\frac{9}{4}$

4 0

3 years ago

Pls how do you verify this

aev [14]

Plug 15 in for x i think

3 0

3 years ago

Read 2 more answers

Aşağıda verilen balik kılçığı diyagramını tamamlayalım.<br>

oee [108]

Answer:

Let's complete the fishbone diagram given below

thats what they said

Step-by-step explanation:

8 0

2 years ago

Rewrite in simplest terms: -8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)

anzhelika [568]

Answer:

-8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)

Distribute to remove the parentheses.

Collect like terms

-154y+170

Step-by-step explanation:

7 0

3 years ago