Help please again it worked this time

Find the domain of the given function. f(x) = square root of quantity x plus eight divided by quantity x plus four times quantit

BaLLatris [955]

Your f(x)=sqrt[x+8]/(x+4)(x-6) is MUCH clearer, but not 100% clear. I will assume that your denominator here is the product of (x+4) and (x-6):

√x+8)

f(x) = ------------------

(x+4)(x-6)

We cannot divide by zero. Thus, x cannot be -4 and cannot be 6.

Thus, the domain is:

(-infinity, -4) or (-4, 6) or (6, infinity).

7 0

4 years ago

Find a counterexample to show that the conjecture is false. The product of two positive numbers is always greater than either nu

jekas [21]

Answer:

$\frac{1}{2}$ × $\frac{1}{4}$ = $\frac{1}{8}$

Step-by-step explanation:

This sentence isn't always true.

here is a counter example :

The trick is to use fractional numbers .

$\frac{1}{2}$ × $\frac{1}{4}$ = $\frac{1}{8}$

let's analyse this example :

$\frac{1}{2}$ $\geq$ $\frac{1}{8}$ and $\frac{1}{4}$ $\geq$ $\frac{1}{8}$

1/2=0.5 and 1/4=0.25 but 1/8=0.125

0.125<0.25<0.5

here is another example : (1/2)*(1/3)=1/6
the same thing : 1/6<1/3<1/2

4 0

3 years ago

Marshall can read 201 page of a book in 3 hours. What is the unit rate in this situation? A 100 pages in 1 hour B 134 pages in 2

9966 [12]

Answer:

67 pages in 1 hour

Step-by-step explanation:

A "unit rate" is a rate expressed with "one unit" in the denominator:

(201 pages)/(3 hours) = (201/3) pages/hour = (67 pages)/(1 hour)

Often, the unit of interest is a time unit. Here, it is 1 hour.

8 0

3 years ago

A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the neare

madam [21]

Answer:

$4.15^0.$

Step-by-step explanation:

Given,

Leaning Tower of Pisa is shifted, P = 13.5 ft

Height of Leaning Tower of Pisa, B = 186 ft

Now, degree of tilt of the tower from vertical

$\tan \theta = \dfrac{P}{B}$

$\tan \theta = \dfrac{13.5}{186}$

$\tan \theta = 0.0725$

$\theta = 4.15^\circ$

Hence, angle of tilt is equal to $4.15^0.$

4 0

3 years ago

On a field trip, there are 5 adult chaperones for every group of 20 students. There are 150 people in total on the trip. What pe

denis23 [38]

Answer:

80% of the people on the trip are children.

Step-by-step explanation:

To determine the percentage of the people on the trip that are children,

First, we will determine how many of the people are children.

From the question,

There are 5 adult chaperones for every group of 20 students, that is, out of 25 people, 5 are adult chaperones and 20 are students.

From the question, there are 150 people in total in total.

Let the number of children be x

If there are 20 students (children) in 25 people

Then, there will be x children in 150 people

x = (150 × 20) / 25

x = 120

Hence, there are 120 children.

To determine the percentage of the people on the trip that are children,

we will divide the number of children by the total number of people and then multiply by 100%

Number of children = 120

Total number of people = 150

∴ The percentage of the people on the trip that are children is

(120/150) × 100% = 0.8 × 100% = 80%

Hence, 80% of the people on the trip are children.

7 0

3 years ago

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Help please again it worked this time​

Help please again it worked this time