If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?

Answers

Answer 1

Answer:

x ≠ 5

Step-by-step explanation:

Assuming you mean f(x) = (1/(2x-10))+3

Please be careful with how ambigiuous your question can appear with the / sign.

The domain is the set of values that can be used as an input.

In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.

This gives us 2x-10 ≠ 0

2x ≠ 10

x ≠ 5

Answer 2

The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ √ ( 1/2 )x - 10 ] + 3

Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.

(1/2)x - 10 ≥ 0

To solve this inequality, we can isolate x:

(1/2)x ≥ 10

x ≥ 20

Hence , the domain of the function f(x) is x ≥ 20.

To learn more about domain and range click :

https://brainly.com/question/28135761

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The complete question is attached below :

If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?

If F(x)= 1/2x-10+3, Which Inequality Can Be Used To Find The Domain Of F(x)?

Related Questions

Refer to the figure to answer the following.
5
F
m 2 BFG = (0.5)(mCD + mGB)
True False
Please help

Answers

Answer:

True

Step-by-step explanation:

∠BFG is an interior angle, then:

m∠BFG=[m arc(GB) + m arc(CD)] / 2

or in other words

m∠BFG = (0.5)(m arc CD + m arc GB)

Answer:

TRUEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

ASAP!! Find the length of side x in simplest form with a rational denominator

Answers

Answer:

[tex]x=\sqrt{14}[/tex]

Step-by-step explanation:

This triangle is a 45-45-90 triangle.

By using the image I posted, we can find x easily.

So, we have [tex]\sqrt{7}[/tex] as one of the sides.

They hypotenuse, which is x is just [tex]\sqrt{7} \sqrt{2}[/tex]

Simplify and we get x = [tex]\sqrt{14}[/tex]

Help ASAP please!
The question is attached

Answers

Answer:Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?

simplify (2sq root 5-4) (3sq root 5-2)

Answers

Answer:

2√5-4(3√5-2)

6√25-4√5-12√5+8

6(5)-16√5+8

30+8-16√5

38-16√5

Graph. Identify the solution:
1) x + y = 2
X-y=4

Answers

(3,1) and hope this helps

Answer:

X=3 y=-1

Step-by-step explanation:

X+y=2

X-y=4

so that means

y=X-4

substitute it in

X+X-4=2

2x-4=2

2x=2+4

2x=6

x=3

3+y=2

3+-1=2

y=-1

ways to check

3--1=4

double minus equal plus

3+1=4

The pottery class has 16 pounds
of clay. Each student got 1/2 of a
pound of clay to make a plate.
How many plates did the
students make?

Answers

Answer:

32 plates

Step-by-step explanation:

If the pottery class has 16 pounds  of clay and each student got 1/2 of a pound;

then;

1 plate = 1/2 pounds

xplate = 16pounds

Divide both expressions

1/x = 1/2÷16

1/x = 1/2*!6

1/x = 1/32

x = 32

Hence the student will make 32 plates

a pair of awesome skinny jeans cost $25 but it is on sale for 25% off. score if tax is 8% what is the total cost​

Answers

Answer:

The answer would be 20.25 i think!

Step-by-step explanation:

The total cost should be $6.75

(2x + 12.8) what is the value of x

Answers

Answer:

2/5 *(5x+32)

Step-by-step explanation:

A sample of 80 high school senlors, 45% of which are female, were surveyed as to whether or not they are employed
outside of school. 25% of the boys surveyed sald they are not employed. How many boys are employed?

Answers

Answer:

33 boys

Step-by-step explanation:

Since 45% of the participants were female and there were a total of 80 students, 36 of the 80 students were female. That means that 44 of the students were male.

25% of 44 is 11. So there are 11 boys that are not employed. From there you can just subtract 44 - 11 and get 33.

33 boys are employed

Answer:

33 students

Step-by-step explanation:

Let's take this step-by-step. First, we know that the sample includes a total number of 80 high school students, and 45% of them are female.

This means that 55% of them are male students, which is required to answer the question. 80 × 0.55 = 44 male students.

Next, 25% of the male students are not employed. This means that 75% of the male students are employed. So, 44 × 0.75 = 33 male students.

(HELP ASAP)

Find the area of the composite figure.
A)
27 km2
B)
36 km2
C)
45 km2
D)
54 km2

Answers

Answer:

45 km^2 (C)

Step-by-step explanation:

Isolate the smaller square -

We only need two side lengths, take 3km and 3km.

3×3 = 9km^2, that's the area of the smaller square.

Isolate the larger square -

Take 6km and the other 6km

6×6 = 36km^2

Add the square's areas together to get the whole area -

36 + 9 = 45km^2

All you need to do to solve these problems is to isolate the shapes and find their area's, and finally add them together.

Find the total of a
$60 meal with 15%
tip and 8% tax.

Answers

Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$

Step-by-step explanation:

Answer:

$73.8

Step-by-step explanation:

(15+8)= 23 -> .23 = .23 times 60 = $73.8

Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation

Answers

Answer:

The system of inequalities that models the situation is

Step-by-step explanation:

Given:

Total number of banana bread and nut bread must be atmost 30

Cost of one banana bread = $2.50

Cost of one nut bread = $2.75

Kona wants to make at least $44

To Find:

The system of inequalities models the situation

Solution:

Let the number of banana bread loaves be x

Let the number of nut bread loaves be y

Then kona wants to make at most 3 loaves of bread,

So...

Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps

9. A ship sails 20km due North. It changes
direction and then sails 15km due East.
How far is it from its starting point?

Answers

Answer:

Ans = appx 10.439 units

Step-by-step explanation:

This answer will vary depending on the starting latitude of the ship due to earth not being flat, despite suddenly popular opinions.

So if we used a flat cartesian space ignoring the curvature of the earth we could have a fixed constant answer to this question. Lets do it that way.

Just to clarify: NO the earth is not flat.

Another assumption of this question is the difference between compass north and true north, which we have to throw out for the same reasons.

Real world answers to this question would not be as simple… #imjustsaying

Ok so first travel northeast, lets call that a bearing of 45 degrees directly northeast to also squash any variations there… then a bearing of 250 degrees which ill assume is not a relative bearing (LOTS OF ASSUMPTIONS GOING ON HERE) which is sortof in the west-southwest direction.

The angle at the turn goes from 45 to 250. reversing the 45 shows our angle to be between 250 and 180+45=225 so the angle is 25 degrees with one leg being 20 units (kilometers) long and the other leg being 12 units long. How many units apart are the two points that are connected to that angle?

(12sin(25))^2+(20–12cos(25))^2 = x^2

Enjoy calculating. Make sure that 25 is in degrees and not in radians.

Ans = appx 10.439 units

Estimate the solution of the equation to the nearest integer, z² = 85.
A. 7
B. 8
C. 9
D. 10

Answers

square root of 85 is 9.21 thus it’s C. 9

pls help me math its due today​

Answers

Answer:

For multiplication you added the exponents and for division you minus the exponents

Answer:

kdkdjdduidddsisiodiod

Need help immediately I will give brainilest

Answers

The answer will be 48

Answer:

the answer is 12

I think

What is the union of {9, 10, 11} and {9, 11, 13}?

Answers

The 2 {} you have are called sets. The union is what the 2 sets have in all.

You can think of this as you have green blue yellow cards. and your friend have green orange red cards. What colors do you have if you combine your cards.

Now that's just an example, in the question's case is what numbers does the 2 sets have in total.

Therefore the union of these 2 sets are {9,10,11,13}

Hope it helps!

Pls help, will give brainliest.

Answers

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form: (3,4)

Equation Form: x=3, y=4

Answer:

x = 3

y = 4

Step-by-step explanation:

You need to get ridof the 2y so add the equations together:

3x - 2y = 1

*add

2x + 2y = 14  

5x + 0 = 15

5x = 15

*divide by 5

x = 3

Now that we have x we can find y by substituting

2(3) + 2y = 14

6 + 2y = 14

* subtract 6

2y = 8

*divide by 2

y = 4

Hope this helps :)

sound travels about 340m/s the function d(t)=340t gives the distance d(t) in meters that sound travel in t seconds how far does it travel in 37 s

Answers

d(37) = 340*37= 12580m

Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a gallon?

Answers

Answer:

Cups at $3.20

Step-by-step explanation:

Gallon - $3.99

Quarts - $5,00

Pints - $5.20

Cups - $3.20

Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo​

Answers

reparto proporcional

Solve b=y-my for y.

Answers

Answer:

y = [tex]\frac{b}{1-m}[/tex]

Step-by-step explanation:

In order to get y by itself, we need to pull y out of 1 and m on the right side.

b = y(1 - m) since y(1 - m) is the same as y - my.

Once we have pulled y out of 1 and m, we can divide both sides by 1 - m

[tex]\frac{b}{1 - m}[/tex] = [tex]\frac{y(1 - m)}{1 - m}[/tex]

We can cancel out the 1 - m on the right side since (1 - m) / (1 - m) = 1

Finally we get our answer:

[tex]\frac{b}{1-m}[/tex] = y

This is the same as y = [tex]\frac{b}{1-m}[/tex]

Help

Don’t use for points and also be clear or I will take the points back

Answers

Answer:

x=47°

Step-by-step explanation:

..,........................

Answer:

I believe it is 47.  

Step-by-step explanation:  The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD.  then subtracted it and applied it to the other side,  keep in mind I am only a freshman and it might be wrong super tiny chance but it might.  

Andrea spent 5/9 of her money buying a guitar if she had €296 left how much had she had first​

Answers

Answer:

kkk

Step-by-step explanation:

1 of 12
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 ml water
?g salt
?g yeast
?mL oil
?mL water

Answers

Answer:

8

Step-by-step explanation:

Find the area of the figure below

Answers

Step-by-step explanation:

(3×6) + (2×6)

= 18 + 12

= 30 in²

A regular pentagon has side lengths of 10cm and an apothem 7cm in length. What is the area of the pentagon?

Answers

Answer:

The fraction can not be reduced, but it can be converted to decimal form.

Exact Form: 10/7

Step-by-step explanation:

A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation

v(t)=−gt−velnm−rt/m

where g is the acceleration due to gravity and t is not too large. If g=9.8 m/s^2, m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height of the rocket one minute after liftoff.

Answers

This question is incomplete, the complete question is;

A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel consumed at rate r, and the exhaust gases are ejected with constant velocity v(sub e) [relative to the rocket]. A model for the velocity of the rocket at time t is given by the equation:

v(t) = -gt - v(sub e) ln [(m-rt)/m]

where g is the acceleration due to gravity, and t is not too large. If g = 9.8 m/s^2, m = 30,000 kg, r = 160 kg/s, and v(sub e)= 3000 m/s, find the height of the rocket one minute after liftoff.

Answer:

the height of the rocket one minute after liftoff is 14.8441 km

Step-by-step explanation:

Given the data in the question;

Velocity of the rocket at time t is;

v(t) = -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex])

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = ₀∫⁶⁰(  -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex]) )dt

= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex]  - [tex]V_{e\\}[/tex] ₀∫⁶⁰In( [tex]\frac{m-rt}{m}[/tex]) dt

= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex]  - [tex]V_{e\\}[/tex] [ t In( [tex]\frac{m-rt}{m}[/tex]) + [tex]\frac{m}{r}[/tex] - t - mr[tex]\frac{1}{r^{2} }[/tex] In |m-rt| [tex]]^{60}_0[/tex]

= -g([tex][\frac{60^{2} }{2}][/tex]  - [tex]V_{e\\}[/tex] [ 60 (In(1 -  [tex]\frac{60r}{m}[/tex])-1) + [tex]\frac{m(In(m^{2})-In((m-60r)^2))) }{2r}[/tex] ]

we input our given values; g=9.8 m/s², m=30000 kg, Ve = 3000 m/s, r = 160 kg)

= -9.8([tex][\frac{60^{2} }{2}][/tex]  - 3000 [ 60 (In(1 - [tex]\frac{60(160)}{m}[/tex])-1) + [tex]\frac{30,000(In(30,000^{2})-In((30,000-60(160))^2))) }{2(160)}[/tex] ]

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] =  14844.10 m

we convert to kilometer

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] =  14844.10 ÷ 1000

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] =  14.8441 km

Therefore, the height of the rocket one minute after liftoff is 14.8441 km

   

Allen added 16 and 15 for a sum of 1330. Is Allen correct? Explain.

Answers

incorrect 15+16= 31 ???
Answer:
Allen is wrong.

Step-by-step explanation:
16 + 15 = 31

Notation: Segment YQand Notation: Segment XP are altitudes to the congruent sides of isosceles triangle WXY.


Select all the true statements.

Answers

Answer:

Isosceles triangle has two equal sides and two congruent bases.

Step-by-step explanation:

Isosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. The two sides of the triangle are congruent and the angles opposite to these sides are also congruent. It is a special type of triangle which is also called equilateral triangle.

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