Please I need help!!!!!!

1) The rational function shown could be used to the number of arrests, f(x), per 100,000 drivers, for driving under the influenc

swat32

The age that has the maximum number of arrest is 25 years

<h3>The trend on the graph</h3>

The equation of the function is given as:

$f\left(x\right)\ =\ \frac{27725\left(x\ -\ 14\right)}{x^{2\ }+\ 9}-5x$

See attachment for the graph of the function.

The end behavior of the graph is

$\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:$

This means that:

As the age of the driver increases, arrested drivers decreases and as the age of the driver decreases, arrested drivers increases

<h3>The age that has the maximum arrest</h3>

From the graph, the maximum is:

Maximum = (25.388, 356.166)

Remove the y values

Maximum = 25.388

Approximate

Maximum = 25

Hence, the age that has the maximum arrest is 25

Read more about functions at:

brainly.com/question/23426439

#SPJ1

6 0

2 years ago

Which of the binomials below is a factor of this trinomial 3x^2+18-21

KengaRu [80]

Answer:

A

Step-by-step explanation:

you will get 3(x-1)×(x+1) you can get the 3 and x by itself then it would be x+3

4 0

3 years ago

Solve the equation <br> 8x-4=2(4x-4)

Bad White [126]

Answer:

Distribute

8

−

4

=

2

(

4

−

4

)

8x-4={\color{#c92786}{2(4x-4)}}

8x−4=2(4x−4)

8

−

4

=

8

−

8

8x-4={\color{#c92786}{8x-8}}

8x−4=8x−8

2

Add

4

to both sides of the equation

8

−

4

=

8

−

8

8x-4=8x-8

8x−4=8x−8

8

−

4

+

4

=

8

−

8

+

4

8x-4+{\color{#c92786}{4}}=8x-8+{\color{#c92786}{4}}

8x−4+4=8x−8+4

3

Simplify

Add the numbers

8

=

8

−

4

8x=8x-4

8x=8x−4

2 more steps

Result

0

=

−

4

0=-4

0=−4

The input is a contradiction: it has no solutions

4 0

3 years ago

A father's age now is three times the age that his son was four years ago. In 12 years, the father will be twice as old as his s

irina1246 [14]

Answer:

Now, the father is 60, and the son is 24.

Step-by-step explanation:

Now:

Father's age = f

Son's age = s

4 years ago:

Father's age = f - 4

Son's age = s - 4

In 12 years:

Father's age = f + 12

Son's age = s + 12

Now:

f = 3(s - 4)

In 12 years:

f + 12 = 2(s + 12)

We have 2 equations that we can solve in a system of equations.

f = 3(s - 4)

f + 12 = 2(s + 12)

f = 3s - 12

f + 12 = 2s + 24

f = 3s - 12

f = 2s + 12

Since above both equations are in terms of f, set the right sides equal and solve for s.

3s - 12 = 2s + 12

s = 24

f = 3(s - 4)

f = 3(24 - 4)

f = 3(20)

f = 60

Now, the father is 60, and the son is 24.

8 0

2 years ago

The sum of the ages of the father and his son is 42 years. The product of their ages is 185. Find the age of the father and the

Iteru [2.4K]

Let f and s be the ages of the father and the son. We have

$\begin{cases}f+s=42\\fs=185\end{cases}$

From the first equation we derive

$f=42-s$

Substitute this expression for f in the second equation and we have

$(42-s)s=185 \iff -s^2+42s-185=0 \iff s^2-42s+185=0$

The solutions to this equation are s=5 or s=37

Since the sum of the ages must be 42, the solutions would imply

$s=5 \implies f=37,\quad s=37\implies f=5$

We can only accept the first solution, since the second would imply a son older than his father!

4 0

3 years ago