determine the domain of each of the real functions

f (x) =
[tex] \sqrt{x2 - 16} [/tex]

f(x) =
[tex] \sqrt{4 - x2} [/tex]


f(x) =
[tex] \frac{5}{ \sqrt{9 - x2} } [/tex]
​

Answer:

Step-by-step explanation:

3x^2 - 5x + 2 + x^2 + 8x - 10

4x^2 + 3x - 8

Answer:

g(6)=21

Step-by-step explanation:

Given g(x)= 3x+3, Find g(6)

1. Replace g(x) with g(6), and x with 6. The equation will now look like this: g(6)=3(6)+3

2. Multiply 3 and 6, to equal 18. The equation will now look like this: g(6)=18+3

3. Add 18 and 3 to equal 21. The Answer is g(6)=21

Answer:

b=3

Step-by-step explanation:

-7+1/3b=-6

+7         +7

1/3b=1

*3    *3

b=3

Answer:

x=1

Step-by-step explanation:

1/2(8-6x)=x

Distribute

1/2 * 8 - 1/2 * -6x = x

4 -3x = x

Add 3x to each side

4 -3x+3x= x+3x

4 = 4x

Divide each side by 4

4/4 = 4x/4

1= x

Answer:

[tex]A\approx\$880.68[/tex]

Step-by-step explanation:

So, we know that Jolene bought an initial $750.

We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.

So, we can use the compound interest formula, which is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.

So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:

[tex]A=750(1+0.055)^t[/tex]

Add:

[tex]A=750(1.055)^t[/tex]

Since the stock was bought 3 years ago, the value now is t=3. So, substitute 3 for t and evaluate:

[tex]A=750(1.055)^3[/tex]

Evaluate. Use a calculator:

[tex]A\approx\$880.68[/tex]

And we're done!

Formula: A = P(1 + r/n)^t

We have these variables:

P = 750

r/n = 0.055

t = 3

Substitute and simplify:

A = 750(1 + 0.055)^3

A = 750(1.055)^3

A = 880.68

Best of Luck!

Answer:

its 3.1

Step-by-step explanation:

i said hey google

Add 11 to both sides:

-4=-2t

divide 2 by both sides

2=t

Hope it helps! Comment if you have any questions!

Answer:

t = -2

Step-by-step explanation:

Move all terms that don't contain t to the right side and solve

4x + 9 = 56

The value of x.

4x + 9 = 56

The value of 9 changes when we take 9 to the Right Hand Side, we get

4x = 56 - 9

Now, The value of 4 changes when we take 4 to the Right Hand Side, we get

x = 47/4

The value of x is 47/4

Answer:

B. X < -4

Step-by-step explanation:

-2x - 8 > 3x + 12

Subtract 3x from both sides

-5x -8 > 12

Add 8 both sides

-5x > 20

Divide -5 both sides

X < -4

Answer: x < -4

Step-by-step explanation:

Subtract 3x from both sides

-5x - 8 > 12

Add 8 to both sides

-5x > 20

Divide both sides by -5

x < -4

Answer: (-1, 0)

Step-by-step explanation: It is the only point that crosses the x-axis and is an answer choice.

Please mark BrainliesT!

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1, 5) and (3, 0)

The distance between them is

[tex]d = \sqrt{( {1 - 3})^{2} + ({5 - 0})^{2} } \\ = \sqrt{ ({ - 2})^{2} + {5}^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \\ = 5.38516 \: [/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

x/3 = 14

x = 42

Answer:

THE ANSWER SHOULD BE 14

Step-by-step explanation:

JHJHUUYUU

Answer:

The answer is

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by [tex] \frac{180}{\pi} [/tex]

From the question the value to be converted is [tex] \frac{10\pi}{9} [/tex]

Converting it into degrees we have

[tex] \frac{10\pi}{9} \times \frac{180}{\pi} \\ = \frac{1800}{9} [/tex]

We have the final answer as

Hope this helps you

Answer:

Quadrant 4

Step-by-step explanation:

We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2

which is located in the 4th quadrant

Answer: Quadrant 4

Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.

Answer:

3.05

Step-by-step explanation:

if you divide 18.35 by 6 it is 3.05.

Answer:

3.08533333333 continued indefinitely

Step-by-step explanation: you will need to divide 18.35 cm by 6 pieces.

Answer:

the answer is one solution

Answer:

x=0

This means that there is a solution.

Step-by-step explanation:

Step 1- Distribute into the parenthesis

-14-8x= (-2)-3x+(-2)7

Step 2- Multiply

-14-8x= 6x-14

Step 3- Add 8x to both sides.

-14x-8x= 6x-14

     +8x +8x

Step 4- Add 14 to both sides.

-14= 14x-14

+14       +14

Step 5- Divide both sides by 14.

0 = 14x

14    14

x=0

Answer:

Step-by-step explanation:

mean aka average: (9+9+3+2+8+7+4)/7 = 6

Answer:

6

Step-by-step explanation:

Mean = Sum of the numbers/total no of numbers

There are 7 numbers

[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]

Answer:

2 x a + 2

Step-by-step explanation:

You are welcome

Answer:

45 minutes

Step-by-step explanation:

We want to know how long it takes to an airplane to fly a distance of 375 miles, if the speed of the airplane is 500 miles per hour.

For this, we should divide the distance/speed to get the time that the plane needs.

T = 375mi/(500mi/h) = 0.75 hours

The plane needs 0.75 hours or 0.75*60 = 45 minutes to fly that distance.

Answer:

this would be quantitative.

Step-by-step explanation:

because its an amount like dollars of sales per week so it would be quantitative or numbers

Using the dot plot, it is found that the correct option is:

Hence:

That is, 12 out of 15, that is, four out of five students have lived in either 1 or 2 different states, hence the third option is correct.

To learn more about dot plot, you can take a look at https://brainly.com/question/24912483

Answer:

12.57

Step-by-step explanation:

Not rounded it would be 12.56637

If you are just replacing pi with 3.14. than your answer would be exactly 12.56.

Answer:

At 8 shirts, Print-o-rama charges $89.  At 5 shirts, Printastic charges $89.  

Answer: L, J, K

Step-by-step explanation:

L, J, and K are collinear because they all lie on the same line.

Answer:

The measurement of angle H is 58°

Answer:

77

Step-by-step explanation:

G =2H+6=180

2H+6=180

2H=180-6

2H=154

H=154/2

=77

Answer:

the answer to the question above is 42

Step-by-step explanation:

5(6+3)-3=42

Answer:

42!

Step-by-step explanation:

5(6+3)-3

30+15-3

45-3

42!

Hope I helped! :D

Answer:

k= 7

Step-by-step explanation:

if m is the midpoint of fm, and fm= 2k-5. and fg=18. then you can do: 2k-5+2k-5=18 and solve for x

The measure of FM is 9 and MG is 9.

Given,

M is the midpoint of FG.

FM = 2k - 5 and FG = 18.

We need to find the measure of MG.

If there is a midpoint between two points the midpoint will divide the distance between the two points into two equal halves.

AB is the distance between two points A and B

If C is the midpoint then,

AC = CB = AB / 2

We have,

FG is a line.

M is the midpoint of this line FG.

Now,

F______M______G

Since M is the midpoint we have,

We need to get,

FM = MG = FG/2

FG = FM + MG

We need to find the k value.

FM = FG/2

2k - 5 = 18/2

Multiplying 2 on both sides

4k - 10 = 18

Adding 10 on both sides

4k - 10 + 10 = 18 + 10

4k = 28

Dividing both sides by 4

k = 28/4 = 7

k = 7.

So,

FM = 2k - 5 = 2 x 7 - 5 = 14 - 5 = 9

Since M is the midpoint

FM = MG

We have,

MG = 9

We can see that,

FG = FM + MG

18 = 9 + 9

18 = 18

Thus the measure of FM is 9 and MG is 9.

Learn more about finding measures of a line between two points here:

https://brainly.com/question/617690

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