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3 years ago

Which of the following functions best represents the graph?

Mathematics

2 answers:

Allushta [10]3 years ago

7 0

Answer:

B. f(x)=x³+x²-x-1

Step-by-step explanation:

The value of the graph f(x) shows that at x=1 and x=-1 must yield f(x)=0

which is true in case B.

A. f(1)=1+1-4-4= -6≠0

C. f(1)= 1+3-4-12=-12≠0

D. f(-1)= -1+2+2-1= 2≠0

Hence, option B is correct

i.e. f(x)= x³+x²-x-1

Leviafan [203]3 years ago

4 0

I believe the answer is B.

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Alchen [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th

Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10. Solve for the half life:

140 = 700 (½)^(10 / T)

0.2 = ½^(10 / T)

log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

0.057 = ½^(t / 4.31)

log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

t = 17.8

Rounded to the nearest whole number, it takes 18 minutes.

4 0

4 years ago

For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

4 years ago

How many distinct triangles can be formed for which mZE = 64,9 = 9, and e = 10?

DIA [1.3K]

I wish I could help but I unfortunately can’t calculate the answer sorry

6 0

3 years ago

What of the following best describe XW

Anastasy [175]

Answer:

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4 years ago