PLEASE SOMEONE HELP ASAP!!!!!

Given f(x)= square root x and g(x) = lxl, which is the graph of (fog)(x)

marin [14]

Answer:

drawing the graph of $f(g(x))=\sqrt{|x|}$

The graph is attached in the images below.

Option A is correct option.

Step-by-step explanation:

We are given:

$f(x)=\sqrt{x}$ and $g(x)=|x|$

We need to find graph of (fog)(x)

We know that (fog)(x)= f(g(x))

Placing x=g(x) i,e x=|x|

$(fog)(x)= f(g(x))\\f(g(x))=\sqrt{|x|}$

Now, drawing the graph of $f(g(x))=\sqrt{|x|}$

The graph is attached in the images below.

Option A is correct option.

8 0

3 years ago

Read 2 more answers

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’

cupoosta [38]

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

The correct question is

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

$d^2=x^{2}+y^{2}$

we have

$d=13\ in$

so

$13^2=x^{2}+y^{2}$

$169=x^{2}+y^{2}$ ----> equation A

$x=y+7$ ---> equation B

substitute equation B in equation A

$169=(y+7)^{2}+y^{2}$

solve for y

$169=y^2+14y+49+y^{2}$

$2y^2+14y+49-169=0$

$2y^2+14y-120=0$

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

5 0

3 years ago

drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This mon

Kisachek [45]

Complete question is:

A large pool of adults earning their first drivers license includes 50% low- risk drivers, 30% moderate-risk drivers, and 20% high-risk drivers. Because these drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This month, the insurance company writes 4 new policies for adults earning their first drivers license. What is the probability that these 4 will contain at least two more high-risk drivers than low-risk drivers?

Answer:

probability that these 4 will contain at least two more high-risk drivers than low-risk drivers = 0.0488

Step-by-step explanation:

Let H represent High risk

M represent moderate risk

L represent Low risk.

The following combinations will satisfy the condition that there are at least two more high-risk drivers than low-risk drivers: HHHH, HHHL, HHHM, HHMM

The HHHH case has probability 0.2 ⁴ = 0.0016

The HHHL case has probability 4 × 0.2³ × 0.3 = 0.0096 (This is because L can be in four different places)

Similarly, the HHHM case has probability 4 × 0.2 ³ × 0.5 = 0.016

Lastly, the HHMM case has probability 6 × 0.2 ² × 0.3 ² = 0.0216 (This is because the number of ways to choose places for two M letters in this way is 6)

Summing all these probabilities, we have;

0.0016 + 0.0096 + 0.016 + 0.0216 = 0.0488

5 0

3 years ago

10 points for this question!!!!!! Please answer like

alexdok [17]

Box one ratios
Box two 35:2= 70:4

7 0

3 years ago

2. The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for

kvv77 [185]

The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.