What is the domain of f?

What Is The Domain Of F?

Answers

Answer 1

Answer:

[tex]\huge \boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

The domain of a function is all possible values for the value of x.

The denominator in a rational function cannot equal to 0.

[tex]x+2\neq 0[/tex]

Subtracting 2 from both sides.

[tex]x\neq -2[/tex]

The domain of the function is all real numbers except -2.


Related Questions

Whats the common difference? ​

Answers

Answer:  The common difference is  8

Step-by-step explanation:

First Use the formula for the second to generate the first two numbers.

[tex]u_{n}[/tex] = 2^3n-2  

Put in 1 for the first term and you will get 2 and the second term is 16 and to get from 2 to 16 you will multiply by 8.

In a football game, Jim's team gained 7 yards on the first play, lost 2 yards on the second play, and lost 10 yards on the third play. How many total yards did Jim's team gain or lose after three plays?

Answers

Answer:

team loss after three games is 5.

Step-by-step explanation:

we will use positive sign for gain and negative sign for loss.

Given

Jim's team gained 7 yards on the first play

gain of yards = +7

lost 2 yards on the second play

loss of yards = -2

lost 10 yards on the third play

loss of yards = -10

Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)

Total yards gain or lost by Jim's team = +7 -2 -10 = -5

sine sign is negative, it means there is loss and the net loss is 7 yards.

Thus, team loss after three games is 5.

7n + 8 + 1= -19
How do you solve this

Answers

Answer:

-4

Step-by-step explanation:

firt you add a minus one on both sides:

7n + 8 + 1 + (- 1) = -19 + (- 1) => 7n + 8 = -20

then add a minus eight on both sides:

7n + 8 + (- 8) = -20 + (- 8) => 7n = -28

finally in order to find (n) , devide both sides by seven:

7n ÷ 7 = (- 28) ÷ 7 => [ n = -4 ]

-21+7u=28 solve for u

Answers

Answer:

u = 7

Step-by-step explanation:

-21 + 7u = 28

add 28 to both sides

7u = 49

divide by 7

u = 7

Answer:U=7

Step-by-step explanation:

Write the equation of the line in slope-intercept form and identify the slope.
−5x + 10y = 20

Answers

Answer:

Slope = 1/2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

- 5x + 10y = 20

To find the slope we must first write the equation in the form above

- 5x + 10y = 20

Move - 5x to the right side of the equation

10y = 5x + 20

Divide both sides by 10

We have

[tex]y = \frac{5}{10} x + \frac{20}{10} [/tex]

[tex]y = \frac{1}{2} x + 10[/tex]

Comparing with the general form of equation above

Slope / m = 1/2

Hope this helps you

-x/3 >5 the sign is supposed to be greater than or equal to but I don’t have that option

Answers

Answer:

x ≤ -15

Step-by-step explanation:

-x / 3 ≥ 5

multiply by 3

-x ≥ 15

add x to both sides and subtract 15 from both sides

-15 ≥ x or x ≤ -15

There are 123,456 children living in a town. Out of which 64,456 are girls. Approximately, what is the total number of boys in the town?

Answers

Answer:

59,000

Step-by-step explanation:

123,456-64,456=59,000

please help! provide thorough explanation and use elimination method!!

Answers

Multiply both sides of the second equation by 100 to get rid of the decimals:

0.05n + 0.10d = 1.50

==>  5n + 10d = 150

Multiply both sides of the first equation by -5:

n + d = 21

==>  -5n - 5d = -105

Add the two equations together:

(5n + 10d) + (-5n - 5d) = 150 + (-105)

Notice that the terms containing n get eliminated and we can solve for d :

(5n - 5n) + (10d - 5d) = 150 - 105

5d = 45

d = 45/5 = 9

Plug this into either original equation to solve for n. Doing this with the first equation is easiest:

n + 9 = 21

n = 21 - 9 = 12

So Donna used 12 nickels and 9 dimes.

Which of the following best defines an angle?
O A corner of a figure like a triangle or square
O Any object that has a vertex,
OTwo rays that share a common endpoint
O The point where two line segments intersect​

Answers

Answer:

Third option

Step-by-step explanation:

The first definition is not as broad as it should be, therefore, while an angle does meet that criteria, it's not a general definition, hence, it is incorrect. The second one is incorrect as well because a parabola has a vertex, and it is certainly not an angle. This definition is not specific enough, so it will be eliminated. The last one is again, too specific. The third one is the best answer because it is broad enough while still being specific.

What is the measure of angle VYZ

Answers

Answer:

[tex] \boxed{\sf C. \ 161 ^{ \circ}} [/tex]

Step-by-step explanation:

Opposite angles are also congruent angles, meaning they are equal or have the same measurement.

[tex] \sf \implies \angle VYZ = \angle WYT \\ \\ \sf \implies(8x + 1) ^{ \circ} = (9x - 19)^{ \circ} \\ \\ \sf \implies 8x^{ \circ} + 1^{ \circ} = 9x^{ \circ} - 19^{ \circ} \\ \\ \sf \implies 8x^{ \circ} - 9x^{ \circ} + 1^{ \circ} = - 19^{ \circ} \\ \\ \sf \implies - x^{ \circ} = - 19^{ \circ} - 1^{ \circ} \\ \\ \sf \implies \cancel{ -} x^{ \circ} = \cancel{- }20^{ \circ} \\ \\ \sf \implies x^{ \circ} = 20^{ \circ} [/tex]

[tex] \therefore[/tex]

[tex] \sf \implies \angle VYZ =(8x + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =(8 \times 20 + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =( 160+ 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =161 ^{ \circ} [/tex]

If a sample is selected from a population, the sample mean is essentially guaranteed to be different from the population mean. In general, the naturally occurring difference between a sample statistic and the corresponding population parameter is called ____.

Answers

Answer:

Sampling Error

Step-by-step explanation:

We are told that the phenomenon is the naturally occurring difference between a sample statistic and the corresponding population parameter.

Now, it's sampling error because sampling error is simply defined as a deviation or difference in a sampled value as against the true population value due to the fact the sample is not a true representative of the population.

This is also similar to the definition given in the question.

Thus, it's sampling error!

2. Three more than four times a number is 15.

Answers

Answer:

The number is 3

Step-by-step explanation:

Let the number be x

Four times a number = 4 *x = 4x

Three more than four times a number = 4x + 3

4x +3 = 15

Subtract 3 from both sides

4x + 3 - 3 = 15 -3

            4x = 12

Divide both sides by 4

           4x/4x = 12/4

x = 3

Asphere has a diameter of 10 in. What is the volume of the sphere?

Answers

Answer:[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]

Step-by-step explanation: diameter=10 in

radius=[tex]\frac{diameter}{2}[/tex]=[tex]\frac{10}{2}[/tex]=5 in

volume=[tex]\frac{4}{3}[/tex][tex]r^{3}[/tex]

=[tex]\frac{4}{3} X 5^{3}[/tex]  x π =[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]

Ella is going to drive from her house to City A without stopping. Ella's house is 100 miles from City A and after driving for 3 hours, she will be 25 miles away from City A. Write an equation for D, in terms of t, representing Ella's distance from City A tt hours after leaving her house.

Answers

Answer:

[tex]d = 100-25t[/tex]

Step-by-step explanation:

Let's use basic logic here.

If we are 100 miles away from a place, and we've got 25 miles to go, we've already travelled 75 miles.

Since we've travelled 75 miles in 3 hours, then we travel at a rate of [tex]75\div3=25[/tex] miles per hour.

The distance to City A will be represented as 100 - miles already travelled. We  can find how many miles have been travelled by multiplying 25 by [tex]t[/tex], the amount of hours we've spent driving.

This creates the equation [tex]d = 100 - 25t[/tex]

Hope this helped!

There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys?

A) 7
B) 20
C) 14
D) 15



PLEASE HELP​

Answers

Answer:

umm I'm not pretty sure but i say 7

Using proportions, it is found that 14 students are boys, option C.

-----------------------------

This question is solved by proportions, using a rule of three.Out of every 5 students, 2 are boys.How many are boys out of 35?

2 boys - 5 students

x boys - 35 students

Applying cross multiplication:

[tex]5x = 2 \times 35[/tex]

[tex]5x = 70[/tex]

[tex]x = \frac{70}{5}[/tex]

[tex]x = 14[/tex]

14 students are boys, option C.

A similar problem is given at https://brainly.com/question/24112433

Use dimensional analysis to convert the measurements. A dwarf sea horse swims at a rate of 49.68 feet per hour. Convert this speed to inches per minute. The speed is inches per minute.

Answers

Answer:

9.936in/min

Step-by-step explanation:

Given the rate at which a dwarf sea horse swims expressed as 49.68 feet per hour, to convert the speed to inches per minutes, the following conversion factors must be used.

1 foot = 12inches and 1 hour = 60 minutes

49.68 feet per hour can also be written as [tex]\dfrac{49.68* 1 ft}{1 hour}[/tex]

On conversion:

[tex]= \dfrac{49.68* 1 ft}{1 hour} * \dfrac{1 hour * 12 in}{1 ft * 60min} \\\\= \dfrac{49.68* 12in}{60 min} \\\\= \dfrac{596.16in}{60 min}\\\\= 9.936 in/min[/tex]

Hence the speed expressed in inches per minute is 9.936in/min

1/5 × 2/3 + 2/5×1/2 ,..... Pls do in steps I will make u as the brailiest

Answers

Answer: 1/3

Multiply

1×2=2

5×3=15

= 2/15

2×1=2

5×2=10

= 2/10

Simplify

2/5 = 2/15

2/10 = 1/5

Add

2/15 + 1/5 = 1/3

Answer:

[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{ \blue{ \frac{1}{3} }}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{5} \times \frac{2}{3} + \frac{2}{5} \times \frac{1}{2} }[/tex]

Multiply the fractions

⇒[tex] \sf{ \frac{1 \times 2}{5 \times 3} + \frac{2 \times 1}{5 \times 2} }[/tex]

⇒[tex] \sf{ \frac{2}{15} + \frac{2}{10} }[/tex]

Take the L.C.M of 15 and 10

⇒[tex] \sf{ \frac{2 \times 2 + 2 \times 3}{30} }[/tex]

Multiply the numbers

⇒[tex] \sf{ \frac{4 + 6}{30} }[/tex]

Add the numbers

⇒[tex] \sf{ \frac{10}{30} }[/tex]

Reduce the numbers with 10

⇒[tex] \sf{ \frac{1}{3} }[/tex]

--------------------------------------------------------------

How can we find the L.C.M ( Least Common Multiple )?

https://brainly.com/question/17208712

--------------------------------------------------------------

Hope I helped!

Best regards!

10. Working in the laboratory, a student finds the density of a piece of pure aluminum to be 2.850 g/cm3. The accepted value for the density of aluminum is 2.699 g/cm3. What is the student's percent error? ​

Answers

Answer: 5.6%

Step-by-step explanation:

Actual Value observed=2.850 g/cm3

Expected value=2.699 g/cm3

Error =Actual value - expected value

         = 2.850-2.699

Error  = 0.151

Error percent = [tex]\frac{Error}{Expected Value} 100%[/tex]%

                     =[tex]\frac{0.151}{2.699} *100\\0.056*100\\5.6[/tex]

The student's percent error ​is 5.6%

Put 2.85g and 2.69g in an open bracket over 2.69g. Multiply the answer by 100 to receive a percentage error of 5.95%.

write an expression
the quantity of 7+x, squared​

Answers

Answer:

[tex]\huge \boxed{(x+7)^2 }[/tex]

Step-by-step explanation:

The quantity x + 7 is squared.

[tex](x+7)^2[/tex]

Expand the brackets and simplify the expression.

[tex](x+7)(x+7)[/tex]

[tex]x(x+7)+7(x+7)[/tex]

[tex]x^2 +7x+7x+49[/tex]

[tex]x^2 +14x+49[/tex]

We can leave the expression in factored form.

Answer:

( X+7 ) ^ 2

Step-by-step explanation:

=X ^ 2+ 2 x 7 x X + 7 ^ 2

= X^2 +14X +49

Currently, your plane is cruising at an altitude of 33,000 feet and holding steady. You are instructed from the airline control tower that you need to get to a crusing altitude either below 31,000 or above 35,000 feet. If your plane can comfortably climb at an average rate of 800 feet per minute and descend at an average rate of 500 feet per minute, what is the range of times (in minutes) it will take your plane to be in the instructed cruising altitude?

Answers

Answer:

The range of time it would take the plane to be in the instructed area is 2.5 minutes to 4 minutes.

Step-by-step explanation:

The given parameters are;

The current altitude of the plane = 33,000 feet

The required altitude of the plane = Below 31,000 or above 35,000 feet

The average climbing speed of the plane = 800 feet per minute

The average descending speed of the plane = 500 feet per minute

The difference in the current and required altitudes are;

For climbing we have  35,000 feet - 33,000 feet = 2,000 feet

For descending we have  33,000 feet - 31,000 feet = 2,000 feet

Speed = Distance/Time

∴ Time = Distance/Speed  

Based on the climbing and descending rate, we have;

The time it would take to climb 2,000 feet is t = 2000 feet/(800 feet/minute) = 2.5 minutes

The time it would take to descend 2,000 feet is t = 2000 feet/(500 feet/minute) = 4 minutes

The range of time it would take the plane to be in the instructed area is therefore;

Time for descending to time for ascending, which is 2.5 minutes to 4 minutes.

The range of time it would take the plane to be in the instructed area = 2.5 minutes to 4 minutes.


[tex]if \: y = x {e}^{ {x}^{2} } [/tex]
[tex]prove \: that \: \frac{ {d}^{2} y}{ {dx}^{2} } - 2x \frac{dy}{dx} - 4y = 0[/tex]
Good Luck for 50 points!​

Answers

Answer:

Hope it helps!

please mark me brainliest

-11=r+(-2) I need to solve this problem ​

Answers

Answer: -8=r

Step-by-step explanation:

Answer:

r= -9

Step-by-step explanation:

We are given the equation:

-11 = r+ (-2)

If we want to solve for r, we must isolate r on one side of the equation.

Let's simplify the right side. A + - can just be written as -

-11= r-2

2 is being subtracted from r. The inverse of subtraction is addition. Add 2 to both sides of the equation.

-11 + 2= r-2+2

-11+2=r

-9=r

r=-9

Let's check our solution. Plug -9 in for r and solve.

-11= -9 + (-2)

-11= -11

This checks out, so we know our solution is correct.

The solution to the equation -11=r+(-2) is r=-9

One book has 84 pages. Another book has 210 pages. Which is the greatest common
factor of the number of pages in the two books?

Answers

Answer: 12 is the greatest common factor.

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

3.26d+9.75d−2.65 help plzzzzzzz

Answers

Answer: Add  3.26 d  and  9.75 d . 13.01 d − 2.65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

Since you have to simplify it you have to get rid of them so just add 3.26d+9.75 and you get 13.01d and the  minus 2.65

Can you help me please

Answers

Answer:

x = - 11

Step-by-step explanation:

[tex] \frac{4}{x + 2} = \frac{12}{2x - 5} [/tex]

Cross multiply

That's

4( 2x - 5) = 12( x + 2)

Expand the terms in the bracket

That's

8x - 20 = 12x + 24

Group like terms

8x - 12x = 24 + 20

- 4x = 44

Divide both sides by - 4

We have the final answer as

x = - 11

Hope this helps you

Answer: x = -11

Step-by-step explanation:

First Cross product  to reduce it

4(2x-5) = 12(x+2)   Now apply the distributive property on each sides and solve for x.

8x - 20 = 12x + 24   Add 20 to both sides

     +20           +20

8x = 12x +44        subtract 12x from both sides

-12x    -12x

-4x = 44                  Divide both sides by -4

x = -11  

please help :) Evaluate this: (15+12)−3 to the 2 power =

Answers

Answer:

576

Step-by-step explanation:

"(15+12)−3 to the 2 power" can be rewritten, symbolically, as:

[ (15+12) − 3 ]^2, or

[ 27 - 3 ]^2, or

24^2, or 576

Answer:

it is 18

Step-by-step explanation:

A driveway is 81 feet long 12 feet wide and 6 inches deep. How many cubic feet of the concrete will be required for the driveway help

Answers

Answer:

486 cubic feet

Step-by-step explanation:

This question is trying to trick you, by including 6 inches. Convert 6 inches into 0.5 feet to make the question easier. Now, all you have to do is multiple 81 x 12 x .5 to get the answer of 486 cubic feet of concrete.

how do i know this is a rhombus

Answers

Answer: It's not a rhombus

It would be a rhombus if all four sides were the same length, but we don't have that. Side DE is longer than EF, because the opposite angles are larger. We have 75 > 72, so that's why DE > EF.

In a jar there are red jelly beans and green jelly beans. In how many ways can you pick red jelly beans and the same number of green jelly​ beans?

Answers

Complete Question:

In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly​ beans?

Answer:

[tex]Both = 813960[/tex]

Step-by-step explanation:

Given

Red Jelly Beans = 19

Green = 10

Required

Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans

The keyword in the question is pick and this implies combination;

4 from 19 red jelly beans is calculated as follows

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

Where n = 19 and r = 4

[tex]^{19}C_4 = \frac{19!}{(19-4)!4!}[/tex]

[tex]^{19}C_4 = \frac{19!}{15!4!}[/tex]

[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16 * 15!}{15! * 4 * 3 * 2 * 1}[/tex]

[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16}{4 * 3 * 2 * 1}[/tex]

[tex]^{19}C_4 = \frac{93024}{24}[/tex]

[tex]^{19}C_4 = 3876[/tex]

Similarly;

4 from 10 green jelly beans is calculated as follows

[tex]^{10}C_4 = \frac{10!}{(10-4)!4!}[/tex]

[tex]^{10}C_4 = \frac{10!}{6!4!}[/tex]

[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 * 6!}{6! * 4 * 3 * 2 * 1}[/tex]

[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}[/tex]

[tex]^{10}C_4 = \frac{5040}{24}[/tex]

[tex]^{10}C_4 = 210[/tex]

Ways of selecting both is calculated as follows

[tex]Both = 3876 * 210[/tex]

[tex]Both = 813960[/tex]

f(x)=15+x ; x=7 evaluating functions

Answers

Answer:

22

Step-by-step explanation:

[tex]f(x)15+x\\\\f(7)15+7\\\\\boxed{f(7)=22}[/tex]

Hope this helps.

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