What are the domain and range of g of x equals the square root of the quantity x plus 4?

D: [4, ∞) and R: [0, ∞)
D: (–4, ∞) and R: (–∞, 0)
D: [–4, ∞) and R: [0, ∞)
D: (4, ∞) and R: (–∞, 0)

Answers

Answer 1

Using it's concept, it is found that the domain and range of the function are given by:

D: [–4, ∞) and R: [0, ∞)

What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

In this problem, the function is:

[tex]g(x) = \sqrt{x + 4}[/tex]

The square root function does not exist for negative values, hence the domain is represented by:

[tex]x + 4 \geq 0 \rightarrow x \geq -4[/tex]

The range of the square root function is [tex]x \geq 0[/tex], which remains the same as there are no vertical translations.

Hence the correct option is given by:

D: [–4, ∞) and R: [0, ∞)

More can be learned about domain and range of functions at https://brainly.com/question/10891721

Answer 2

Answer: C) D: [–4, ∞) and R: [0, ∞)

Step-by-step explanation:




Related Questions

You buy 10 pounds of bird seed at store A for $11.50.Your friend buys 15 pounds of bird seed at Store B for $19.50.How much less would u sped by buying 20 pounds of bird seed at the store with the better deal?

Answers

Answer:

$3

Step-by-step explanation:

You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.

15 pounds of bird seeds store B for $19.50 is $1.30 per pound.

At store A = 20 * $1.15 = $23

At store B = 20 * $1.30 = $26

So, 26 - 23 = 3

Answer:

You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Step-by-step explanation:

Given:

You can buy 10 pounds of birdseed at Store A for $11.50

10 pounds – $11.50

[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]

1 pound – $1.15

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.15 = $23

20 pounds = $23

Your friend buys 15 pounds of birdseed at Store B for $19.50

15 pounds – $19.50

[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]

1 pound – $1.3

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.3 = $26

20 pounds = $26

Now we compare each stores value for 20 pounds of bird seeds:

$23 < $26

The store with the better deal is: Store A

So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Point A and point B form a line segment that is 12 units long. Point A is located at (5,-4) where might point b be located

Answers

Point B will be located at the perimeter of the circle with a center of (5, -4) and a radius of 12.

What are coordinates?

A point or shape on a two-dimensional plane is located using a pair of integers called coordinates. A point's position on a 2D plane is indicated by two integers called the x- and y-coordinates.

Assuming that a line segment with a length of 12 units is formed by points A and B.

In addition, Point A is situated at (5,-4)

A circle's radius is the distance along a line segment from the center to any point on the circle. All radii on a circle have the same length by definition.

Point B will be situated at the edge of the circle, which has a radius of 12 and a center of (5, -4).

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jeff is 1.67 meters tall how many centimeters tall is jeff

Answers

Answer:

167

Step-by-step explanation:

Amir subtracted a quantity from the polynomial 3x2+8x−16 and produced the expression x2−4. What quantity did Amir subtract? Explain how you got your answer. To get you started:
3x2+8x−16 minus [SOMETHING] = x2−4
What is the [SOMETHING]??

Answers

The polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

How do you Subtract Polynomials?

To subtract polynomials from each other, take like terms together and subtract.

To find out what quantity Amir subtracted from 3x² + 8x - 16 to get x² - 4, do the following:

(3x² + 8x - 16) - (x² - 4)

Open bracket

3x² + 8x - 16 - x² + 4

Combine like terms

2x² + 8x - 12

Therefore, the polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

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The radius of a circle is 14 feet. What is the area of the circle?

87.92 ft 2
615.44 ft 2
153.86 ft 2
1,230.44 ft 2

Answers

Answer:

615.44 ft 2

Step-by-step explanation:

radius times radius times 3.14(pie)

Answer:

Area of circle = pie r²

22/7×14²

616,,

According to me

Find the angle measurements and side lengths for the triangle below

Capital letters are angels , lower case letters are sides

A=

B=

C=

a=

b=

c=

Answers

Answer:

Step-by-step explanation:

Sin(A) = 5/7

Sin(A) = 0.7143

A = sin-1(0.7143

A = 45.58

B = 180 - 45.58 - 90

B =  44.43

C = 90

c = 7

a = 5

b^2 = c^2 - a^2

b^2 = 7^2 - 5^2

b^2 = 49 - 25

b^2 = 24

b = 4.899

Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tr2
2
=
11 in.) Area = [?] inches?

Answers

Answer:

379.94

Step-by-step explanation:

A = πr²

A = 3.14(11 in.)²

A = 3.14(121 in²)

A = 379.94 in.²

PLEASE HELPPP

find the value of x

Answers

The answer is 62. So you add both numbers and subtract by 180 to get your answer

Answer:

x = 62°

Step-by-step explanation:

Concepts:

All angles in a triangle add up to 180°, and there are three angles in a triangle.  In this case, we're given the three angles as 50°, 68°, and x°. This means that x + 50 + 68 = 180.

Solving

Step 1: Combine like terms.

[tex](x)+(50+68)=180[/tex] [tex]x+118=180[/tex]

Step 2: Subtract 118 from both sides.

[tex]x+118-118=180-118[/tex][tex]x=62[/tex]

Step 3: Check if solution is correct.

[tex]62+50+68=180[/tex][tex]112+68=180[/tex] [tex]180=180[/tex]

Therefore, the answer is x = 62°.

Please Help me Its A Math Problem !!! I will AWARD BRAINLIST...

Answers

Answer:

  no, the vertex of Function A is 6 units lower

Step-by-step explanation:

The vertex of Function A can be found several ways:

putting the equation in vertex formevaluating the function on the axis of symmetrygraphing the function

__

Vertex Form

To put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)

We have ...

  y = 2x² +12x +10

  y = 2(x² +6x) +10

We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.

  y = 2(x² +6x +9) +10 -2(9)

  y = 2(x +3)² -8 . . . . . . simplify to vertex form

The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.

__

Axis of Symmetry

The axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...

  x = -12/(2(2)) = -3

The height of the vertex is the y-value for that x-value:

  y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8

This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.

__

Graphing

The graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.

_____

Additional comment

Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.

Evaluate the expression 10^x-3 for x = 2.

Answers

Answer:

1/10 or 0.1

Step-by-step explanation:

10^x-3

10^2-3

10^-1

1/10 or 0.1

Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?

Answers

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

How to determine the total length?

The given parameters are:

Proportion of sleep = 21%Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

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a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.

Answers

Answer:

7.74 yd²

Step-by-step explanation:

Area (shaded) = Area (square) - Area (circle)Area (shaded) = 6 x 6 - 3.14 x 3 x 3 [ Note : radius of circle = 1/2 of the side of the square]Area (shaded) = 36 - 28.26Area (shaded) = 7.74 yd²

Answer:

7.74 yd²

Step-by-step explanation:

The shaded area can be calculated by subtracting the area of the circle from the area of the square.

Given:

side length of square = 6 ydradius of circle = half of side length = 3 ydπ = 3.14

Area of the square = side length × side length

                               = 6 × 6

                               = 36 yd²

Area of the circle = πr²

                             = 3.14 × 3²

                             = 28.26 yd²

Shaded area = area of square - area of circle

                      = 36 - 28.26

                      = 7.74 yd²

Find in the inverse algebraically y=2(x-3)3+1

Answers

the answer to this would be y=6x-17

Answer:

Step-by-step explanation:

Y=(X-3) 3+1

1. Flip the way the equation is facing

1+3 (3-x)=Y

2. Add or Subtract

4 (3-x)=Y

3. Do the parentheses

4(-3x)=Y

4. Solve for X ( Undo addition or Subtraction)

(4-4)=0

What ever you do to one side you have to do to the other!

Y-4

Your New Equation Looks Like

-3x= -4 + Y

5. Undo Multiplication

-3x/3= x

What ever you do to one side you have to do to the other!

-4/3 y/3

6. Divide Y

y/3= 3

7. New equation

X= -4/3 + 3

8. Plug in X to the Original Equation

Y=2(-4/3+3) -3 +(3+1)

9. Solve accordingly

The population of a town decreased by 2.5% each year. The variable y gives the population
after x years.

Answers

Answer: I assume you want an equation so thats what ill do.

y = x(0.975)

Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4? Input your answer in fraction form.

Answers

Answer:

1/6

Step-by-step explanation:

Given;

Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4?

Solve:

Six-sided die = 6

There are only one 4 in the six-sided die.

Hence, fraction = [tex]\frac{1}{6}[/tex]

~Lenvy~

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

top:32

bottom:73.5

Step-by-step explanation:

no need to rate or give brainlyest just wanted to help

Pls help me
What is the probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie? Express your answer as a fraction, decimal, and percent.

3 are cookies
3 are cheesecake
4 are apple pie

Answers

The probability of selecting cheesecake and cookie is 9/100

What is probability?

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Total outcome = 3 + 3 + 4

Total outcome = 10

Pr(selecting cheesecake) = 3/10

Pr(selecting cookie) = 3/10

Pr(selectiing cheesecake and cookie) = 3/10 * 3/10

Pr(selectiing cheesecake and cookie) = 9/100

Hence the probability of selectiing cheesecake and cookie is 9/100

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Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.

How much more does Sofia spend than Flynn?

Answers

Answer:

Step-by-step explanation:

A. $0.08

Step-by-step explanation:

I would find out the total price of potatoes for each person:

Sofia: $0.85 x 3.8lb = $3.23

Flynn: $0.75 x 4.2lb = $3.15

To get the final answer, I would subtract to find the difference between the two prices.

$3.23 - $3.15 = $0.08

Please help i am confused

Answers

Answer: 12.16

Step-by-step explanation:

Which expression shows how to find the quotient of 4.8÷2?
A. (4÷2)+(0.8÷2)
B.(4÷2)+(0.08÷2)
C. (0.4÷2)+(8÷2)
D. (0.04÷2)+(0.8÷2)
*I will mark you brainliest answer if you answer with a step by step explanation+ your answer:)*​

Answers

Answer:

[A] (4 ÷ 2)+(0.8 ÷ 2)

Step-by-step explanation:

Divide the 2 into each digit, which must be in the same spot it was before:

Knowing that 8 in 4.8 ⇒ 0.8

Thus, you can infer that [B] is wrong

You also infer that [D]  and [C] is wrong because 4 is a whole number.

Thus, that left us with [A] 4 ÷ 2+0.8 ÷ 2 which shows the quotient of 4.8 ÷ 2

Hence, [A] 4 ÷ 2+0.8 ÷ 2 is the answer.

~Learn with Lenvy~

Answer:

Option A

Simplification:

[tex]\rightarrow (4 + 0.8) \div 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{4.8 can also be written as 4 + 0.8}][/tex]

[tex]\rightarrow \dfrac{(4 + 0.8)}{2} = \dfrac{4 + 0.8}{2}[/tex]

[tex]\rightarrow \dfrac{4}{2} + \dfrac{0.8}{2}[/tex]

[tex]\rightarrow (4 \div 2) + (0.8 \div 2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[Option A}}][/tex]

Tom had 90 cookies and sold 60% of them.scott had 150 cookies and sold 2/3 of them.dawn sold 46 cookies.what percentage of the cookies sold were sold by dawn?

Answers

Answer:

Step-by-step explanation:

Tom: 90 cookies total 60% were sold

Tom: 90 * 60/100 = 54 cookies

Scott: 150 cookies and 2/3 were sold

Scott: 150 * 2/3 = 300/3 = 100

Dawn: sold 46 cookies

Total Sold = 46 + 100 + 54

Total Sold = 200

Answer

Dawn: % = (46 / 200) * 100 = 23%

PRESLEY
A drivers' education company offers a classroom instruction program or a full program which also includes driving.
In the fall session, they had 14 students for the classroom program and 5 students for the full program. The
students paid a total cost of $5082. In the spring session, they had 11 students for the classroom program and 9
students for the full program. The students paid a total cost of $5910.
Enter the cost, in dollars, of the classroom program.

Answers

Answer add all the numbers  both sides then you put them in a caculator and what you do is put all the numbers you have in the question in the caculator and yur done

Step-by-step explanation:

What is the measure of the missing angle?

Answers

Answer:

140°

........

.......

........

Felipe just started collecting stamps. he has 36 stamps so far. His uncle Caro has 1,890 stamps in his collection. The number of stamps Carlos has is how many times the number Felipe has?

Answers

Answer:

52.5

Step-by-step explanation:

just divide bro it ain't that hard

Solve for s.

s ÷ 15 = 0.88

Answers

Multiply both sides by 15.

s = 0.88 * 15 = 13.2 (use calculator)

Answer:

13.2

Step-by-step explanation:

just multipply 15 by 0.88 to get 13.2

5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13

Answers

Answer:

The answer would be A) 4

Question 9 of 10
Find the solutions to x2 = 18.
O A. x= +3,12
O B. x= +2,/3
X
O C. X = +36
O D. x = +63
Х

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{} = \sqrt{ 18}[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 3 \sqrt{2} [/tex]

Therefore, the correct choice will be A

I got this question wrong and I need help.

Answers

Answer:

the answer is A. 2

Step-by-step explanation:

4x+2 has to be half of 2x+16

then 4x+2=10 and 2x+16=20 therefore it is correct

rate brainiest

Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2. 1 centimeters 3. 3 centimeters 7. 0 centimeters 15. 0 centimeters.

Answers

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

What is the pentagon?

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}[/tex]

For bigger pentagon

[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}[/tex]

Since both, the ratio is the same

[tex]\dfrac{x}{7} =\dfrac{7}{15}[/tex]

[tex]x=\dfrac{49}{15} =3.3\ cm[/tex]

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

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Line c passes through points (9, 9) and (3, 2). Line d is parallel to line c. What is the slope of line d?

Answers

Step-by-step explanation:

we have to find gradient.formula for gradient:[tex] \frac{y2 - y1}{x2 - x1} [/tex]x1 = 9y1 = 9x2= 3y2= 2

8.

[tex] \frac{9 - 2}{3 - 9} [/tex]

[tex] \frac{7}{ - 6} [/tex]

= -7/6

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