30 POINTS! What is the domain and range of g(x) = |x + 4|

Answers

Answer 1

Answer:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}


Related Questions

please answer these question



What age would a dog be in human years if he is 3 in dog years?

what is glow in the dark things made out of?

Answers

Answer:

Dog be 28

Phosphors apparently

Step-by-step explanation:

Which numbers I have to put in the boxes

Answers

where’s the problem

Give a polynomial of degree 3 that has zeros of 18, 10i, and −10i, and has a value of −3434 when x=1. Write the polynomial in standard form axn+bxn−1+….

Answers

The polynomial in standard form is  2x³+200x-36x²-3600

A polynomial is a mathematical formula that involves only the operations subtraction, addition,  multiplication, and powers of positive integers of the variables and is composed of coefficients and indeterminates.

It is common to refer to the x of a polynomial as a variable or an indeterminate. The symbol x is fixed and has no significance when the polynomial is viewed as an expression (its value is "indeterminate"). The argument of the function is represented by x, which is referred to as a "variable" when considering the function that the polynomial defines.

We know the roots of the polynomial as 18, 10i, and −10i.

therefore the polynomial is of the form.

a(x-18)(x-10i)(x+10i)

= a (x-18)(x²-100i²)

= a (x-18)(x²+100)

= a (x³+100x-18x²-1800)

Now at x =1 The value of the polynomial is -3434

Therefore

-3434 = a(1+100-18-1800)

or, a = 2

Therefore the polynomial is of the form: (2x³+200x-36x²-3600)

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What is the answer to f(2)=

Answers

the answer is 2f

Re-order terms so constants are on the left

f×2=2f

Express each phrase as a rate and unit rate.
(Round your answer to the nearest hundredth.)
1) 7 calculators cost $120.00

Answers

Answer:

$100.00

Step-by-step explanation:

5 and above ex: 150 =200 140=100 under 5 keep the first letter then turn the other numbers into 0's 5 and above make the first number go up one then turn the rest of the numbers in to 0's

NAME
DATE
PERIC
Lesson 3: More about Constant of Proportionality
Cool Down: Fish Tank
Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table
as you answer the questions.
1.
How many gallons of water will be in the fish tank after 3 minutes? Explain your
reasoning.
2.
How long will it take to fill the tank with 40 gallons of water? Explain your reasoning
3. What is the constant of proportionality?

Answers

The ratio of one variable quantity to another that is always constant and to which it is proportional is known as the constant of proportionality then the constant of proportionality exists r = 1.6.

What is meant by constant of proportionality?

The ratio of one variable quantity to another that is always constant and to which it is proportional is known as the constant of proportionality.

Given

x            y

0.5.     0.8

1.         1.6

3.        4.8

25.       40

To estimate the constant of proportionality uses the following formula:

y = r x

Where r is the constant of proportionality;

Simplify the value of r, we get

r = y/x

Substitute the values of x = 0.5 and y = 0.8, in the above equation then

r = 0.8/0.5

r = 1.6

When x = 1 ; y = 1.6

r = 1.6/1

r = 1.6

When x = 3; y = 4.8

r = 4.8/3

r = 1.6

When x = 25 ; y = 40

r = 40/25

r = 1.6

The value of r exists constant.

Therefore, the constant of proportionality exists r = 1.6.

The complete question is:

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.

time (minutes) water (gallons)

0.5 0.8

1

3

40

What is the constant of proportionality?

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You invested $101 and received $106.05 after one year. What was the interest rate?

Answers

The rate of interest was 5%.

The rate of interest and simple interest can be related through the formula -

S.I. = PRT/100, where S.I. stands for simple interest, P stands for principal, R stands for rate of interest and T stands for time.

Amount = Principal + Interest

Interest = 106.05 - 101

Performing subtraction on Right Hand Side of the equation

Interest = $5.05

Rate of interest = (5.05×100)/(101×1)

Performing multiplication in numerator and denominator

Rate of interest = 505/101

Performing division

Rate of interest = 5

Therefore, to earn $106.05 from $101 in one year, the rate of interest should be 5%.

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What is the length of cd ?

Answers

Answer:

7

Step-by-step explanation:

since 3x-6 and x+8 are congruent x had to make both the equations equal eachother. 7 is the only number that does that

(Can anyone answer this please? I need it ASAP!!) A2B3C4 (in hexadecimal) - 3F2E1D (in hexadecimal) = ______________

Answers

The hexadecimal value from the operation is 6385A7

Hexadecimal Numbers

To solve this problem, we have to subtract the hexadecimal numbers from one another.

In doing so, we would subtract 3F2E1D from A2B3C4.

This would give us,

[tex]A2B3C4 - 3F2E1D = 6385A7[/tex]

The value of the expression is 6385A7.

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the cost to rent a moving van is $51 plus an additional $7 per hour. If a moving van is rented for 2 hours, what is the cost?

Answers

We know that

The cost to rent a moving van is $51 plus an additional $7 per hour.

Based on the given information, we define the following

[tex]51+7(2)=51+14=65[/tex]Therefore, the cost is $65.

The cost to rent a moving van is $51 plus an additional $7 per hour.

Based on the given information,

please help me solve this

Answers

It is to be noted that:

The current total bid for Empire design is $3,060,000The current total bid for Build-EM-UP-CO is $ 3,120,000.

What is a bid?

Bidding is an individual or business's offer to establish a price for a product or service or a demand that something be done. Bidding is a method of determining the price or worth of something. Bidding may be done by a person who is influenced by a product or service in a given setting.

The calculations are given as follows:

Given:
Proposal of Empire design:

$30000 x b

$ 60000/ I beam

Proposal of Build-EM-UP-CO.

$32000 x b

$ 40000/ I beam

Empire Design

Since b = 9ft; and number of I beams = 6, Hence

Total bid = (300,000 * 9) + (60,000 * 6)

= $3,060,000

Build-EM-UP-CO.

Recall that b = 9ft; and number of I beams = 6, Hence

Total Bid = (320,000 * 9) + (40,000 * 6)
Therefore,
Total bid = $3,120,000.

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Full Question:

For full details of the question, see the attached image

A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 48.5 (ft) with superscript (3). What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.

Answers

The dimensions that yield the minimum surface area of the open-top square-based, rectangular metal tank that will have a volume of 48.5 ft³ are:

Length = 3.65 ftWidth = 3.65 ft.

What are the dimensions of an area?

The dimensions of an area, which is a two-dimensional object, refer to the length and the width.

On the other hand, the dimensions of the volume refer to the length, width, and height.

The volume of the square-based rectangular tank = 48.5ft³.

The length of each side of the surface area = 3.6468 ft (∛48.5ft)

Check:

Volume = height x length x width

= 3.6468 x 3.6468 x 3.6468

= 48.499 ft³

= 48.5 ft³

Thus, the dimensions of the surface area include the length and the width without the height.

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a box has 12 red cards and 12 black cards. another box has 24 red cards and 24 black cards. you want to draw two cards randomly from one of the two boxes, one card at a time. which box has a higher probability of getting cards of the same color and why?

Answers

Select red from A and B then the probability of getting cards of same color is  12/24 * 24/48 = 1

Box A: 12 Red

          12 Black

Box B: 24 Red

          24 Black

One card is selected from Box A and placing the selected card into Box B.

One card is selected from Box B.

What is the probability that a red card is selected from Box B?

Two things can occur:

1) Select red from A and B:

12/24 * 24/48 = 1

2) Select black from A and red from B:

12/24 * 24/48 = 1

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please help need this asap!!!!! PLEASE SOMEONE ANSWER I WILL GIVE EXTRA POINTS!!!

Answers

The area of the circles are as follows:

254.34 km²1962.5 mm²379.94 m² 907.46 cm²

How to find area of a circle?

The area of a circle can be found as follows;

area of a circle = πr²

where

r = radius

Therefore,

a.

area of the circle = πr²

diameter = 18km

r = 18 / 2

r = 9 km

Hence,

area of the circle = πr²

area of the circle = 3.14 × 9²

area of the circle = 254.34 km²

b.

area of the circle = 3.14 × 25²

area of the circle = 3.14 × 625

area of the circle = 1962.5 mm²

c.

area of the circle = 3.14 × 11²

area of the circle = 3.14 × 121

area of the circle = 379.94 m²

d.

area of the circle = 3.14 × 17²

area of the circle = 3.14 × 289

area of the circle = 907.46 cm²

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Which is larger, 52 or 33?​

Answers

Answer:

52

Step-by-step explanation:

52 is a bigger number than 33?

Find the equation of a line perpendicular to y=x-1 and passes through the point (-1,-5)
A. y+5= -(x+1)
B. y-5=x-1
C. y+5=x+1
D. y-5= -(x-1)

Answers

Step-by-step explanation:

d

since you add them up you will have a certain answer that will match up

Given a normal distribution with mean M = 8 and σ = 3,

What is the x value corresponding to z = 0.4?

Answers

123

[tex]123 > x = 10 > 6[/tex]

!!!Need Help ASAP

R=42−0.7t


Quinn returned home one summer's day to find it extremely hot. He turned the air conditioner on, and the room's temperature began decreasing at a constant rate. The equation shown above gives the room's temperature, R, in degrees Celsius, t minutes after Quinn turned on the air conditioner. What was the room's temperature, in degrees Celsius, when Quinn returned home?

Answers

The room's temperature when Quinn returned home is the y-intercept of the equation, which is: 40 degrees Celsius.

What is the Y-intercept or Initial Value of a Linear Equation?

The equation of a linear relationship between two variables, x and y, can be expressed in slope-intercept form as y = mx + b, where we have the initial value or the y-intercept as "b", and the rate of change or unit rate as "m".

Alternatively, it can be rewritten as y = b + mx.

R = 42 - 0.7t represents the equation for the Quinn's room's temperature, R, in degrees Celsius, and t in minutes after Quinn turned on the air conditioner.

Interpreting the equation, we can deduce the following:

The initial value or the y-intercept (b) was the room's temperature when Quinn returned home.

The unit rate or rate of change (m) = -0.7 degrees per minute.

Thus, Quinn's room's temperature when she returned was 40 degrees Celsius.

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x²y6/xy²

What is the value of the expression above
if x = -2 and y = 2?

Answers

answer

11

Step-by-step explanation:

4x+1/3y^24(2)+1/3(3)^28+1/3(9)8+3

A sea turtle is 3 feet below the surface of the sea. If its position can be recorded as −3 feet, what would the position 0 represent in this situation? (4 points)

Group of answer choices

A.) the height of the turtle

B.) the distance above the surface of the sea

C.) the distance below the surface of the sea

D.) the surface of the sea

Answers

Answer:

D

Step-by-step explanation:

-3 ft means that it is three feet below zero. That means 0 means the sea level.

A 100ml tub of ice cream costs £1.50. Work out how much 500ml tub of ice cream would cost.

Answers

Answer:

Answer: 7.5 or 7 1/2.

Carmen is about to complete a jigsaw puzzle the puzzle and one remaining piece are shown below what transformation can shark Carmen apply to the final piece to fit into the puzzle

Answers

We can see that the holes of the piece are already oriented in a way the piece will fit in the missing hole of the puzzle, so it doesn't need a rotation or reflection.

Then, in order to fit the piece in the hole, we need to move the piece 3 positions to the left and 1 position down.

Therefore the transformation needed is: a translation of 3 units to the left and 1 unit down.

"-2+8" > "-2" heeeeelpp

Answers

Answer: Yes this equation means 6 is greater than -2, making this a true statement if that was what you're asking for.

Quadrilateral ABCD is translated 6 units right and 5 units down to create quadrilateral EFGH. Determine the correct orientation and location of quadrilateral EFGH.

Answers

The translation of Quadrilateral ABCD with coordinates A(-3, 4), B(1, 3), C(3, 6), and D(1, 6) using the given transformation rule is; E(3, -1), F(7, -2), G(9, 1), H(7, 1)

What is the translation?

We are given the vertices of Quadrilateral ABCD as;

A(-3, 4), B(1, 3), C(3, 6), and D(1, 6)

Now, we are told that it is first translated right by 6 units. This means that we would add 6 units to each x-value to get;

A'(-3 + 6, 4) = A'(3, 4)

B'(1 + 6, 3) = (7, 3)

C'(3 + 6, 6) = C'(9, 6)

D'(1 + 6, 6) = D'(7, 6)  

It is now translated by 5 units downwards and we subtract 5 from each y-value and this gives us;

E(3, -1), F(7, -2), G(9, 1), H(7, 1)

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Complete question is;

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6) is translated 6 units right and 5 units down to create quadrilateral EFGH. Determine the correct orientation and location of quadrilateral EFGH.

A boat traveled 240 miles downstream, then 240 miles back upstream. The trip downstream took 20 hours. The trip back upstream took 60 hours. Use this information to fill in the following blanks. Note: Express your answers as integers.

Answers

The speed of the boat in still water is 6miles/hour miles per hour.

The speed of the current is 3miles/hour miles per hour.

The distance travelled by the boat downstream(with the flow current of river) is 240 miles.

The distance travelled by the boat upstream(Against the flow current of river) is 240 miles.

Time taken to travel downstream = 20 hours.

Time taken to travel upstream = 60 hours.

Let us say the velocity of the boat is V and the velocity of the current flow of river is U.

The relative velocity of boat with respect to ground while going downstream is,

velocity of boat in downstream = V + U.

As we know,

Velocity = distance/time

Putting values of downstream motion,

V + U = 240/20

V + U = 10

Let us say this is our equation 1.

The relative velocity of boat with respect to ground while going upstream is,

velocity of boat in upstream = V - U

As we already know,

Velocity = distance/time

Putting the values of upstream motion,

V - U = 240/60

V - U = 3

Let us say this is our equation 2.

Now, on adding equation 1 and 2.

V+U+V-U = 10 + 3

2V = 13

V = 6.5 miles per hour.

Rounding off to the nearest integer,

V = 6 miles/hour.

Putting V = 6.5 miles/hour in equation 1,

6.5 + U = 10

U = 3.5 miles/hour.

Rounding off to the nearest integer,

U = 3 miles/hour

The velocity of river current is 3 miles/hour and velocity of boat is 6miles/hour.

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A boat traveled 240 miles downstream, then 240 miles back up stream. The trip downstream took 20 hours. The trip back up stream took 60 hours. Use this information to fill in the following blanks.

The speed of the boat in still water is ______ miles per hour.

The speed of the current is ______ miles per hour.

Consider the line y =
9
7
x-9.
Find the equation of the line that is parallel to this line and passes through the point (-7, 4).
Find the equation of the line that is perpendicular to this line and passes through the point (-7, 4).

Answers

Answer:

Axis interception points [tex]97x-9[/tex] x intercepts: [tex](\frac{9}{97} ,0),[/tex]Y intercepts:[tex](0,-9)[/tex]

Step-by-step explanation:

Slope of 97x-9 :     m=97

Domain: 97 x - 9

Range: 97 x - 9

find the area. please explain how to get it​

Answers

Answer:

Step-by-step explanation:
(the small double lines like = means that the length of those sides are all same)
So, if one length is considered as x
     the other two will also be x
      we see that the length of one side is given which is 27
      to find x
      x + x + x = 27
        3x = 27
    so, x = 27/3
          x = 9m

(the small vertical single line means that those sides are equal)
so if one side is y, the other two are also y
so , y + y+ y = 30
       3y = 30
       y = 10m

If we imagine the stairs to be made of small rectangles of length 10m and base 9m , finding area will be easier.
we will see that there are 9 rectangles in total
area of rectangle = length x base
so, area of 1 rectangle = 9x10
                                       = 90
[tex]m^{2}[/tex]
so area of 9 identical rectangles = 9 x 90
                                                      = 810 [tex]m^{2}[/tex]

Please help!!!!
I’ll give you the Brainiest

A triangle has height 4ft and area 32 ft². What is the length of its base?

Answers

Step-by-step explanation:

1st

[tex]area = \frac{1}{2} base \times hight[/tex]

2nd

[tex]32 = \frac{1}{2} base \times 4[/tex]

3rd

[tex]32 \div 4 = \frac{1}{2} base[/tex]

4th

[tex]8 \times 2 = base[/tex]

answer

[tex]base = 16ft[/tex]


A farmer has 25 goats with a mean mass of 74 kg.
The farmer acquires a new goat and the mean mass becomes 72 kg.
What is the mass of the new goat?

Answers

Answer:  72

Step by step explanation:

sum of the masses of the 25 goats take as x then x/25=74 so 74×25=x x=1850 after buying a new goat number of goats =26

hope i helped <3

Please help

Name the reciprocals of each equation

Equations in picture

Answers

1. (3/4)x = 9. Multiply both sides by the reciprocal of 3/4: (4/3)(3/4)x = (4/3)(9)

x = 12.

2 . -4=4/7*x

        4x/7=-4

             x=-7

3. -1/5*x=6

     -x/5=6

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

x=-30

With an example, what is a reciprocal equation?

An inverse of a number or value is referred to as reciprocal. If x is any real number, then 1/x will be the reciprocal of that number. For instance, 1/8 is the reciprocal of 8, which is 1 divided by 8. 1/8's reciprocal is equal to 8.

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