What is the answer to this question?

What Is The Answer To This Question?

Answers

Answer 1

Answer: [tex]x\geq6[/tex]

Step-by-step explanation:

g°h indicates that you must plug the function h(x) into the function g(x) as you can see below:

[tex]g\°h=\sqrt{(2x-8)-4}[/tex]

Now you must simplify by adding like terms, as following:

[tex]g\°h=\sqrt{2x-12}[/tex]

By definition you have that:

[tex]2x-12\geq0[/tex]

Theen you must solve for x:

[tex]2x\geq12\\x\geq6[/tex]

Therefore, the domain is:

{[tex]x[/tex] ∈R:[tex]x\geq6[/tex]}

Then the answer is [tex]x\geq6[/tex]

Answer 2

Answer:

Restriction on the domain is x ≥ 6.

Step-by-step explanation:

We have given two functions.

g(x) = √x-4 and h(x) = 2x-8

We have to find the restrictions on the domain of (g o f).

(g o h)(x) = g(h(x))

(g o h)(x) = g(2x-8)

(g o h)(x) = √2x-8-4

(g o h)(x) = √2x-12

Hence, 2x-12 ≥ 0

2x ≥ 12

x ≥ 6

Hence, restriction on the domain is x ≥ 6.


Related Questions

How would you describe this triangle

Answers

Answer:

Acute

Step-by-step explanation:

All the angles are less than 90 degrees

Which is the simplified form of

Answers

Answer:

 1           1

------ + -------    

r^7      s^12

Step-by-step explanation:

r^(-7) + s^(-12) can be re-written as

 1           1

------ + -------    by putting to use the rule:

r^7      s^12

                1

x^(-a) = ----------

              x^a

For this case, we must simplify the following expression:

[tex]r ^ {- 7} + s ^ {- 12}[/tex]

By definition of power properties we have to:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

So, rewriting the expression we have:

[tex]\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}[/tex]

Answer:

[tex]\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}[/tex]

Option D

Rebecca has a credit line of $6,500. She had a previous balance of $398.64 and made a payment of $250. The total of her purchases is $1,257.99. What is Rebecca's available credit?

Answers

Answer:

$5093.37

Step-by-step explanation:

To get Rebecca's available credit we need to take all of her payments and purchases and previous balance.

Previous balance = $398.64

Purchases = $1,257.99

Payment = $250

Credit Line = $6,500

Now first we add together her purchases and previous balance.

398.64 + 1,257.99

This will give us:

$1,656.63 Total deductions.

Now we subtract that to her credit line.

$6500.00 - $1656.63

$4843.37

Now we take her payment and add it to her credit line.

$4843.37 + $250

$5093.37

So Rebecca's available credit is $5093.37.

Name the property illustrated.

6 + 4 + 3 = 6 + 3 + 4


Answers

Final answer:

The property illustrated in the equation is the Commutative Property of Addition. It states that the order in which numbers are added does not affect the sum.

Explanation:

The equation showcases the Commutative Property of Addition. This property asserts that altering the order of addends doesn't impact the sum. Specifically, the given equation, 6 + 4 + 3, demonstrates this property as it equals 6 + 3 + 4. In essence, rearranging the sequence of addends doesn't alter the total, underscoring the flexibility of addition. This fundamental property simplifies mathematical operations, allowing for easier manipulation and calculation of sums, regardless of the order in which numbers are combined.

The Commutative Property of Addition plays a pivotal role in arithmetic, streamlining calculations and enhancing mathematical efficiency.

Suppose Avery bought cheese to make grilled cheese sandwiches. The cheese comes in a pack of 32 slices. Avery uses 75 percent of the pack for the sandwiches. She eats 25 percent of the remaining cheese. How many slices of cheese are left?

20 points for answering my question!

Answers

Answer:

6 Slices Of Cheese Remaining

Step-by-step explanation:

50% of the cheese is 16 slices, so add on 50% + 25% and you get 24 slices...

if you do 32-24 you have 8 slices remaining and if you eat 25% of the 8 slices you have 6 slices left.

solve for x; 6(4x+5)=3(x+8)+3

Answers

Answer:

x = -1/7

Step-by-step explanation:

Work is in attached sheet :)

Answer:

-1/7 or -0.14

Step-by-step explanation:

Describe the transformation that maps the pre image A to the image A'

A) translated 9 units up and then reflected across the y-axis
B) translated 6 units to the right then translated 9 units up
C) translated 9 units to the right then translated 6 units up
D) translated 6 units to the right and then reflected across the x-axis ​

Answers

Answer:

B) translated 6 units to the right then translated 9 units up

Step-by-step explanation:

Just use the graph to follow each translation until you get thee right answer, or you can count how many spaces are from the pre-image to the image. Just make sure to always use the same point.

The transformation from figure A to figure A' are:

Translating 6 units to the right.

Translated 9 units up.

Option B is the correct answer.

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

We will take two coordinates from the figure.

Figure A has the coordinates:

(-5, -2) and (-4, -2)

And,

Figure A' has the coordinates:

(1, 7) and (2, 7)

Now,

Translating 6 units to the right.

(-5, -2) = (-5 + 6, -2) = (1, -2)

And,

(-4, -2) = (-4 + 6, -2) = (2, -2) _____(1)

Again,

Translated 9 units up.

(1, -2) = (1, -2 + 9) = (1, 7)

And,

(2, -2) = (2, -2 + 9) = (2, 7) ______(2)

From (1) and (2) we see that,

Figure A to Figure A'.

Translating 6 units to the right.

Translated 9 units up.

Thus,

The transformation from figure A to figure A' are:

Translating 6 units to the right.

Translated 9 units up.

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Need help with this question plz

Answers

Answer:

A (3,-2)

Step-by-step explanation:

x = t-1

y = -sqrt(t)

Let t= 4

x = 4-1 = 3

t = -sqrt(4) = -2

The (x,y) coordinate is (3,-2)

Two fifth of the students in a class are male find the number of male students if there are 50 students in the class

Answers

Twenty students are male.

Hope this helps.

Point on the number line shows the graph of -3 1/2?
Answer options: E, B, C, F

Answers

The correct answer is B
ANSWER

point B.

EXPLANATION

[tex] - 3 \frac{1}{ 2} = - 3.5[/tex]

-3.5 is half way between -4 and -3 on the number line.

From the graph, point B is in the middle of -4 and -3.

Therefore the point on the number line that shows -3½ is point B.

Which side effect of anabolic steroid use is the least possible?

A. Brain and liver cancer

B. More acne

C. Smaller muscles

D. Increased anxiety, irritability, or sudden rage.

Answers

it would be A i hope i helped

The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.

What is an anabolic steroid?

Anabolic steroids are synthetic variations of the male hormone. The proper term for these compounds is anabolic-androgenic steroids.

"Anabolic" refers to muscle building, and "androgenic" refers to increased male characteristics.

Irritability and aggression increase when anabolic steroids are used in high doses.

The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.

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whats the volume of the cylinder ​

Answers

Answer:

896 cm³

Step-by-step explanation:

the linear ratio = 1 : 2

The volume ratio = 1³ : 2³ = 1 : 8

The volume of the car is 8 times the volume of the two wheeler

volume = 112 × 8 = 896 cm³

A ship travels 54 km on a bearing of 13 degrees, and then travels on a bearing of 103 degrees for 156 km. Find the distance of the end of the trip from the starting point, to the nearest kilometer.

A) 165 km
B) 12 km
C) 53 km
D) 210 km

Answers

i believe it’s is d because of the way the degrees go and the km it’s is traveling

What is 5% of 34? If you know then plz answer XD

Answers

Answer:

1.7

Step-by-step explanation:

Of means multiply and is means equals

W = 5% *34

Change to decimal form

W = .05 *34

W =1.7

Find the sum of the first 100

Answers

The terms of an arithmetic sequence are generated by adding a fixed term [tex]r[/tex] every time.

So, we start with [tex]a_1=15[/tex], and we continue with [tex]a_2=15+r[/tex], [tex]a_3=15+2r[/tex] and so on.

As you can see, the general rule is [tex]a_n = 15+(n-1)r[/tex]

With this information, we can derive [tex]r[/tex], knowing that

[tex]a_{100} = 307 = 15+99r \iff 99r = 292 \iff r = \dfrac{292}{99}[/tex]

So, the sum of the first 100 terms is

[tex][tex]\displaystyle \sum_{i=0}^{99} 15+i\dfrac{292}{99} = \displaystyle \sum_{i=0}^{99} 15 + \displaystyle \dfrac{292}{99}\sum_{i=0}^{99} i = (15\cdot 99) + \dfrac{292}{99}\dfrac{99\cdot 100}{2} = 1485 + \dfrac{490342}{99}[/tex]

Which equation calculates the number of 13-foot pieces that can be cut from a piece of wood that is 7 feet long?

Answers

Step-by-step explanation:

13x=7

It would be fractional

The equation to find the number of 13-foot pieces from a 7-foot piece of wood is explained step-by-step.

The equation to calculate the number of 13-foot pieces that can be cut from a 7-foot piece of wood is:

Number of pieces = Total length of wood / Length of each piece

Plugging in the values:

Number of pieces = 7 ft / 13 ft = 0.538 or approximately 0.54 pieces

A plane takes off at an angle of elevation of 15° and travels in a straight line for 3,000 meters. What is the height of the plane above the ground at this instant?

Answers

Answer:

776.46 m

Step-by-step explanation:

According to the scenario it is a question of right angle triangle

To find the height of the plane above the ground we will use trigonometry identity.

sinФ = opposite / hypotenuse

here Ф = 15°

        opposite = height

        hypotenuse = 3000m

         

Plug values in the formula above

sin(15) = height / 3000

height = sin(15)(3000)

           = 776 .46 m

(make sure your calculator is in degree mode)

Answer:

776.46 m

Step-by-step explanation:

The angle of elevation is 15 degrees which is measured from the horizontal.

The height above the ground is the opposite side of the triangle, the hypotenuse is the 3000 m and the angle of elevation is 15 degrees.

The sine ratio is the one one that ties the relationship;

Therefore;

sin 15 = x/3000

x = sin 15 × 3000

   = 776.46 m

A single die is rolled twice. Find the probability of rolling a 5 the first time and a 2 the second time.

Answers

Answer:

= 1/36

Step-by-step explanation:

The probability of roiling a 5 is 1/6, while,

that of rolling a 3 is 1/6

Therefore;

The probability of having a 5 the first time and a 3 the second time will be the product of the probability of having a 5 and the probability of having a 3.

= 1/6 × 1/6

= 1/36

Answer:

The correct answer is 1/36

Step-by-step explanation:

It is given that, single die is rolled twice

The sample space consists of,

(1, 1), (1, 2) ....... (1, 6)

.

.

(6, 1) ............. (6, 2)

Total = 36

To find probability

The possible outcome is (5, 2)

The probability of rolling a 5 the first time and a 2 the second time = 1/36

the correct answer is 1/36

Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/2 inch = 1 foot. In the drawing, the bathroom measures 3 inches by 3 1/2 inches. Amy is purchasing square tiles that measure
1/2 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for her bathroom floor?

Answers

Answer:

$78.00

Step-by-step explanation:

First, you would have to figure out how many tiles she would need. 3 inches is  equal to 6 feet according to the scale part, and then it would be 12 tiles because it is half a foot for the tiles. Then 3 1/2 would be 7 feet, and then 14 tiles. 12 plus 14 equals 26, and 26 times $3.00 is $78.00

Amy will pay $3.00 for the tiles for her bathroom floor.

What is Fraction?

A fraction represents a part of a whole.

The scale is 1/2 inch = 1 foot.

Length of bathroom = 3 inches × (1 foot / 24 inches)

= 1/8 feet

Width of bathroom = [tex]3\frac{1}{2}[/tex] inches(1 foot / 24 inches)

= 7/24 feet

We need to calculate the total area of the bathroom floor in square feet:

Area of bathroom floor = (length) x (width)

= (1/8 feet) x (7/24 feet)

= 7/192 square feet

Since each tile measures 1/2 foot on each side, the area of each tile is:

Area of one tile = (1/2 feet) x (1/2 feet) = 1/4 square feet

Total area of tiles needed = (area of bathroom floor) / (area of one tile)

= (7/192 square feet) / (1/4 square feet)

= 7/48 tiles

Amy will need to purchase 1 tile at a cost of $3.00 per tile, so the total cost of the tiles for her bathroom floor will be:

Total cost = (number of tiles) x (cost per tile)

= 1 tile x $3.00/tile = $3.00

Hence, Amy will pay $3.00 for the tiles for her bathroom floor.

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what would the common denominator be for 1/2 1/3 and 1/5? ​

Answers

Answer:

30

Step-by-step explanation:

1/2 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

1/3 3 6 9 12 15 18 21 24 27 30

1/5 5 10 15 20 25 30

Explain why vertical angles cannot be adjacent angles?

Answers

Adjaadjacent angles are angles that are the vertex but vertical angles are lines that cross each other.

Select the ordered pair that is a solution to the equation represented by the graph.

Answers

I believe it is because it would be he most simplistic answer to be honest because for example 10,8 it is the same as 5,4 so u would put 5,4 because it is simplified so put (2.1,0) as your answer

The ordered pair that is a solution to the equation represented by the graph is (-2.5, 3).

Here's my reasoning:

- The graph intersects the x-axis at (2.1, 0): This means that any point on the x-axis, including (2.1, 0), has a y-value of 0. However, this doesn't guarantee that (2.1, 0) is a solution to the equation itself.

- The graph passes through the point (-2.5, 3): This means that the equation of the graph must yield a y-value of 3 when x = -2.5. Therefore, (-2.5, 3) is a solution to the equation.

The other points are not on the graph itself:

- (0, 0.6) is above the x-axis but not on the graph's line.

- (-1, 1.8) is also above the x-axis but not on the graph's line.

Therefore, the only ordered pair that is a solution to the equation represented by the graph is (-2.5, 3).

Simplify the expression.

52(53⋅52)

Answers

The answer is 143312

Answer:

it is  143312                                    

during Saturday's 12-mile hike Jim walk 5 miles in the first hour she then walk three more miles during the next hour what fraction of total hike had Jan walked at this point​

Answers

5 miles + 3 miles = 8 miles

8 miles out of 12 equals 8/12 = 1/3

so, your answer would be “he completed 1/3 of the total hike so far”

which of the list of letters all have line symmetry?

Answers

Answer:

Option A

A B C D

Step-by-step explanation:

Line of symmetry means that line which cut anything into two two halves.

It could horizontal, vertical and diagonal.

A - vertical line of symmetry

B - horizontal line of symmetry

C - horizontal line of symmetry

D - horizontal line of symmetry

And it is an example of Spherical symmetry:

If the organism is cut through its centre, the resulting parts look the same.

Final answer:

The correct option is a.

The list given entirely contain letters with line symmetry. Line symmetry means that one half of an image or shape exactly matches the other half.

Explanation:

The question asks about line symmetry in letters. Line symmetry, also known as reflection symmetry or mirror symmetry, means that one half of an image or shape exactly matches the other half along a line of symmetry.

Looking at the options given:

a. A, B, C, D—B, C and D have horizontal line of symmetry; A has vertical line of symmetry.

b. W, X, Y, Z—X, W and Y have line symmetry, but Z do not.

c. L, M, N, O—M and O have line symmetry, but L and N do not.

d. S, T, U, V—T, U and V have line symmetry, but S do not.

Therefore, only option a is correct. Since, the list given entirely contain letters with line symmetry.

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The number c is a​ _______ of the polynomial function yequals=​P(x) if and only if xminus−c is a​ _______ of the polynomial​ P(x).

Answers

Answer:

"The number c is a​ zero the polynomial function y=​P(x) if and only if x-c is a​ factor of the polynomial​ P(x)."

Step-by-step explanation:

We have been given some statements with blank spaces:

"The number c is a​ _______ of the polynomial function y=​P(x) if and only if x-c is a​ _______ of the polynomial​ P(x)."

Now we need to fill those blank spaces by suitable words.

We know that if x=5 is some root (zero or solution) of the polynomial function then (x-5) works as factor.

So using that logic, we can fill the blanks spaces as:

"The number c is a​ zero the polynomial function y=​P(x) if and only if x-c is a​ factor of the polynomial​ P(x)."

Answer:

 I am 86% sure that it is The number c is zero the polynomial function y=​P(x) if and only if x-c is a​ factor of the polynomial​ P(x)

    Hope this helped!

a car made a 60 mile trip at an average speed of 20 mph. On the return trip, the car's average speed was 30 mph. What was the average speed of the car car for the entire two-way trip?​

Answers

Answer:

The average speed of the car is [tex]s = 24\ mph[/tex]

Step-by-step explanation:

The average speed is defined as

[tex]s = \frac{d_1}{t}[/tex]

Where

s is the speed

d is the displacement made

t is the time it took to perform the displacement d.

On the first trip the speed was 20 mph and the displacement was 60 miles. Then we find the time [tex]t_1[/tex]

[tex]s = \frac{d}{t}[/tex]

[tex]t_1 = \frac{d_1}{s}\\\\t_1 = \frac{60}{20}\\\\t_1 = 3\ h[/tex]

On the second trip the speed was 30 mph and the distance traveled was the same: 60mph

We calculate [tex]t_2[/tex].

[tex]t_2 = \frac{60}{30}\\\\t_2 = 2\ h[/tex].

Now we can calculate the average speed for the entire route

[tex]s = \frac{d_1 + d_2}{t_1 + t_2}\\\\s = 60 +\frac{60}{3} +2\\\\s = \frac{120}{4}\\\\s = 24\ mph[/tex]

Answer:

Speed =  24 mph

Step-by-step explanation:

Distance traveled in the two way trip

2*(60 miles) = 120 miles

Time it took to arrive to the destination (first travel, 60 miles, 20mph)

Speed = distance/ time

t = distance/ speed = (60 miles) / (20 mph) = 3 hours

Time it took to come back (return travel, 60 miles, 30 mph)

t = (60 miles) / (30 mph) = 2 hours

Total time = (3 +2)  hours = 5 hours

So the average speed is

Speed = (120 miles) / (5 hours)  = 24 mph

Melissa is measuring 132 oz of rice into 1 pound containers. How many 1 pound containers will she need to hold all of the rice? How many ounces of rice will she need to buy if she needs 10 lb of rice? Please show your work​

Answers

Answer:

Melissa will be able to hold 8 1/4 containers of rice.  

Step-by-step explanation:

1 pound= 16 oz

132/16= 8.25

Answer:

Step-by-step explanation:

Let's work in pounds everywhere.  Convert 132 oz of rice into lb:

132 oz          1 lb

----------  ·  ------------  =  8.25 lb

     1            16 oz

Melissa will be able to fill 8 1-lb containers with rice, but will have 0.25 lb left over.

If she wants 10 lb of rice and is curious regarding how many oz that would be, take this 10 lb and multiply it by the conversion factor shown above:

10 lb        16 oz

--------  ·  ---------  =  160 oz

   1           1 lb

I need help with the Pythagorean theorem

Answers

Answer:

9.4 inches

Step-by-step explanation:

The distance between the opposite corners is the diagonal.

We can find this using the Pythagorean theorem.  The diagonal is the hypotenuse.

a^2 +b^2 = c^2

8^2 +5*2 = c^2

64+25 = c^2

89=c^2

Take the square root of each side

sqrt(89) = sqrt(c^2)

sqrt(89) = c

9.433981132=c

Rounding to the nearest tenth

9.4 inches = c

a car is 15 ft long and 6 feet wide it is parked on a rectangular driveway with an area of 112 sqaure feet how much of the driveway is mot cover hy the car?​

Answers

Answer:

22 sqft.

Step-by-step explanation:

Calculate the area of the car: (15*6)=90

Subtract the area of the car from the area of the driveway to find the area leftover: 112-90=22 sq ft not covered.

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