If f(x)=square root 4x+9+2, which inequality can be used to find the domain of f(x)?

Answers

Answer 1
4x + 9 ≥ 0
There is your answer
Answer 2

we have

[tex]f(x)=\sqrt{4x+9} +2[/tex]

we know that

The radicand must be greater than or equal to zero

so

[tex]4x+9 \geq0 \\ 4x\geq -9 \\x\geq -\frac{9}{4} \\ x\geq -2.25[/tex]

the domain is is the interval--------> [-2.25,∞)

therefore

the answer is

[tex]4x+9 \geq0[/tex]



Related Questions

PLEASE HELP!!!!!!


Of all students, calculate the relative frequency for males who carpool.

0.204
9
33
0.088


Answers

it is 0.088 this is just for the 20 characters so dont read this fhehfhryhfrhuehhfuyrhuyhfhefheufrhfyer

Answer:

It's 0.088.

Step-by-step explanation:

So the males who carpool is 9 right? Well relative frequency is the frequency divided by the total. So we must divide 9 by 102.

9÷102 = 0.088

20 POINT FOR ONE QUESTIONS PLEASE HELP THANK YOU!!! I WILL MARK BRAINLIEST

1. What is the value of z?

Answers

The top corner is 180-78=102°
Sum of the corners should be 180°, so

39+102+5z+4=180 => 5z = 180-145 => z=35/5=7°

my previous answer of 29 was indeed wrong!!!
sorry for that!!
straight angle = 180
so 180 - 78 = 102

sum of interior angles in a triangle = 180
102 + 39 + 5z + 4 = 180
5z + 145 = 180
5z = 35
  z = 7

answer
x = 7

What is the value of x? Show all of your work.
Help Please! :)




(Photo down below,)

(Key Words: √177, 6)



Answers

Use Pythagorean theorem:

[tex]x^2+6^2=(\sqrt{117})^2\\\\x^2+36=117\ \ \ |-36\\\\x^2=81\to x=\sqrt{81}\\\\\boxed{x=9cm}[/tex]

Answer:

qwerty

Step-by-step explanation:

In week 3 the two athletes concentrate on biking. Minh's goal is to bike 125 1/2 miles. At the end of the week he found that he actually biked 125 1/6 miles. PJ's Goal was to bike 120 1/4 miles. At the end of the week he found that he actually biked 120 miles. Which athlete was closer to making their goal? Explain

Answers

PJ was closer because he was .25 away from his goal and Minh was .16666 away from his goal.
MINH:
subtract what was actually biked from his goal

= 125 1/2 - 125 1/6
convert to like denominators

= 125 3/6 - 125 1/6

= 2/6
simplify

= 1/3 or 0.3333333


PJ:
= 120 1/4 - 120

= 1/4 or 0.25


ANSWER: PJ came closer to his goal because 1/4 (or 0.25) is closer to zero which makes it a smaller number than 1/3 (or 0.33).

Hope this helps!  :)

How many liters equal 1258 cm3

Answers

One milliliter equals one cubic centimeter, so 1,258 cm^3 equals 1,258 mL. Dividing this by 1,000 (conversion factor between milliliters and liters), 1,258 cm^3 equals 1.258 liters.

The 1258 cm³ is equal to 1.258 liters.

To convert 1258 cm³ to liters, you can use the fact that 1 liter is equal to 1000 cm³. Therefore, the conversion from cubic centimeters to liters is straightforward.

Identify the given volume: 1258 cm³.

Know the conversion factor: 1 liter = 1000 cm³.

Perform the conversion:

[tex]1258 \ cm^3 \times \left( \frac{1 \ liter}{1000 \ cm^3} \right) = 1.258 \ liters[/tex]

Find the volume of the triangular prism. Round to the nearest cubic unit.

•288 cm^3
•144 cm^3
•576 cm^3
•71 cm^3

Answers

The answer is , you have to multiply them up not add 288cm^3

Answer:

114 cm∧3

Step-by-step explanation:

V= area of base x height

1) calculate the area of the base with formula: 1/2 bh

   B=1/2 (8) (6)=24 then Multiply to get the area: Bh

2) (24) (6)= 144cm∧3

hope this helps.

Steven earns extra money babysitting. He charges $31.00 for 4 hours and $54.25 for 7 hours.

Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

The equation is y =
PLEASE HELP WILL GIVE BRANLIEST!!!!!!!!!

Answers

Y= 7.75x because 31/4 = 7.75 and 54.25/7= 7.75 so the amount he charges per hour is $7.75

Which sign makes the statement true 16/25 or 64%

Answers

It depends on the statement...
.64=.64
Hope this helps :)
Mark as Brainliest please

Caitlin creates an architectural blueprint of a rectangular dining room. The area of the actual dining room is 900 times as large as the area of the dining room on the blueprint. The length of the dining room on the blueprint is 4 inches. What is the length of the actual dining room?

Answers

The length of the actual dining room is 300 feet

you plan to leave a 15% tip and your dinner bill is $45(tax included). How much total should you leave

Answers

$6.75 is the minimum at 15% I would leave more if they were really good.
You would multiply .15 (15%) by $45 to get $6.75. You then add $6.75 to $45 and get a total of $51.75.

Morgan bought a pair of shoes at a sale of 25%. If the amount she paid was $1000, find the marked price.

Answers

1000*25%=250
250=the discount on the product
1000-250= 750$ 
Your answer would be 750$

The marked price of the shoes that Morgan bought at a 25% discount for $1000 is $1333.33. The calculation was done by dividing the discounted price by (1 minus the discount percentage in decimal form).

The question involves finding the marked price of an item given the discounted price and the discount percentage. Morgan paid $1000 for a pair of shoes after getting a 25% discount. To find the original marked price, we can use the formula:

Discounted Price = Marked Price × (1 - Discount Percentage)

Here, the Discounted Price is $1000, and the Discount Percentage is 25%, which is equivalent to 0.25 in decimal form.

By rearranging the formula to solve for the Marked Price, we get:

Marked Price = Discounted Price ÷ (1 - Discount Percentage)

Now we can calculate:

Marked Price = $1000 ÷ (1 - 0.25) = $1000 ÷ 0.75 = $1333.33

Therefore, the marked price of the shoes was $1333.33.

what does n÷6 is??????

Answers

It equals n divided by 6 because there is not a given value for n.

Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)

A. 2.2
B. 6
C. 6.5
D. 8

Answers

I believe 2.2  is the answer.

Answer:

Option A - 2.2

Step-by-step explanation:

Given : Data  7, 2, 8, 5, 9, 9, 5, 6, 8, 1.

To find : What is the mean absolute deviation for these data?

Solution :

Step 1 - Calculate the mean of the data,

[tex]M=\frac{\sum x_n}{n}[/tex]

[tex]M=\frac{7+2+8+5+9 +9+5+6+8+1}{10}[/tex]

[tex]M=\frac{60}{10}[/tex]

[tex]M=6[/tex]

The mean is 6.

Step 2 - Calculate the distance between each data point and the mean.

Data points     Distance from mean

 7                        |7-6| = 1

 2                        |2-6| = 4

 8                        |8-6| = 2

 5                        |5-6| = 1

 9                        |9-6| = 3

 9                        |9-6| = 3

 5                        |5-6| = 1

 6                        |6-6| = 0

 8                        |8-6| = 2

 1                        |1-6| = 5

Step 3 - Add all the terms of distance from mean

X=1+4+2+1+3+3+1+0+2+5=22

Step 4 - Apply mean absolute deviation formula,

[tex]MAD=\frac{\sum X}{n}[/tex]

[tex]MAD=\frac{22}{10}[/tex]

[tex]MAD=2.2[/tex]

Therefore, Option A is correct.

The mean absolute deviation is 2.2.

please help me write the equation for the problem below
——————————————
A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year. Wrote and solve an equation to find the number of years it will take for the two clubs to have the same number of members.

Answers

Since you want both sides to equal each other, you can set up the following equation:

chess club members = computer club members

500 - 30x = 150 + 20x

x represents the amount of years that have passed. The coefficients for x represent the loss or gain of members per year.

Add 30x to both sides.

500 = 150 + 50x

Subtract 150 from both sides.

350 = 50x

Divide both sides by 50 to solve for x.

x = 7

It will take 7 years for both clubs to have the same amount of members.

which expression represents the perimeter of the model shown below? PLEASE HELP

Answers

P = 2(L)  +2(W)
P = 2(4x+3) + 2(2x)

answer
B. 2(4x+3) + 2(2x)

P = 2(L)  +2(W)
P = 2(4x+3) + 2(2x)

Answer :

B. 2(4x+3) + 2(2x)


Give me 5 stars :)

Find the missing angle

Answers

do 180 - 63 - 47. then you will get 70 degrees for your missing angle.
 

The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
7.1 square feet
9.4 square feet
18.8 square feet
28.3 square feet

Answers

7.1

Use the formula of a circle. The radius is 1.5 and squared that is 2.25. Multiply that by 3.14 for your answer. 

Answer:

7.1  square feet

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

In order to solve this we will need the formula that calculates the Area of a Circle. The formula is the following,

[tex]A = \pi r^{2}[/tex]

Where:

A is the area of the circler is the radius of the circle

We are given the diameter of the circle in the question but based on the formula we need the radius. The radius is half of the diameter. Therefore,

[tex]r = 3ft / 2[/tex]

[tex]r = 1.5[/tex]

Now that we have the radius we can plug it into the formula to find the area of the circle.

[tex]A = \pi 1.5^{2}[/tex]

[tex]A = \pi 2.25[/tex]

[tex]A = 7.06 [/tex]

Based on the calculations above we can see that 7.1 [tex]ft^{2}[/tex] (rounded to the nearest tenth) needs to painted

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Matt has a rectangular garden that is 10 ft wide and 24 Ft long . He wants to build a fence from one corner to the opposite corner . How many feet of fence does Matt need ???

Answers

Final answer:

The length of the fence Matt needs is 26 ft.

Explanation:

To find the length of the fence, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the width of the garden is one side of the right triangle, the length of the garden is the other side, and the fence is the hypotenuse.

So, we can calculate the length of the fence as follows:

Length of the fence = √((Width)^2 + (Length)^2)

Substituting the given values, we get:

Length of the fence = √((10 ft)^2 + (24 ft)^2)

Length of the fence = √(100 ft^2 + 576 ft^2)

Length of the fence = √676 ft^2

Length of the fence = 26 ft

Final answer:

To calculate the length of fence needed for Matt's garden, the Pythagorean theorem is used, resulting in needing a fence that is 26 feet long.

Explanation:

Calculating the Fence Length Across a Rectangular Garden

Matt has a rectangular garden with dimensions of 10 feet in width and 24 feet in length. To find the length of the fence that Matt needs to build from one corner of the garden to the opposite corner, we will use the Pythagorean theorem, since the corners of the garden and the fence form a right triangle.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The formula is c² = a² + b².

For Matt's garden, the length is 'a' = 24 ft and the width is 'b' = 10 ft. Plugging these values into the formula, we get:

c² = 24² + 10²

c² = 576 + 100

c² = 676

We then take the square root of both sides to solve for 'c':

c = √676

c = 26 ft

Therefore, Matt needs 26 feet of fence to reach from one corner of the garden to the opposite corner.

a bag contains 20 pink marbles and 12 yellow marbles. you choose a marble at random. what is the probability of selecting a pink marble?

Answers

So the total amount of marbles is: 20+12=32
there are 20 pink marbles
20/32 = 10/16 = 5/8 (simplified)

Choose the proper rationale. “In the compound interest equation, time (the variable t) has the biggest effect on the outcome because...”
A. Time is usually the largest number in the equation.
B. Time uses the largest units (years are bigger than dollars or percentages).
C. Time is an exponent while other units are factors.
D. Time is the independent variable

Answers

I think the correct answer from the choices listed above is option C

Answer:

the answer is c

Step-by-step explanation:

According to the table, what is the mode of the average high temperatures for states listed in the chart? A) no mode B) 55° F C) 81° F D) 88° F


please explain how to do this type of math I need help ;-;

Answers

The mode is the number that appears the most times, like if you had a set of numbers, for example {1,6,6,8,8,8,8,8,10,12,14}, the mode would be 8, since it appeared the most, do the same for that table, which wasn't provided for me to see.

Answer:no mode

Step-by-step explanation:

How much sugar is there in 100g of 15% sugar syrup?

Answers

Hi there!

In order to solve this problem, we'll need set up a proportion and solve. This is our proportion: x/100 = 15/100. Next, we'll cross-multiply to get: 100x = 1500. Lastly, we'll divide both sides by 100 to figure out how many grams of sugar are in 100g of 15% sugar syrup: x = 15 grams.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

In 100g of 15% sugar syrup, there is 15g of sugar.

Sugar Syrup

Sugar syrup is a thick viscous liquid that mostly contains water and dissolved sugar in it. therefore, a 20% sugar syrup means having a 20:80 ratio of sugar and water in a unit of sugar syrup.

Given to us,

100g of sugar syrup 15% sugar,

Now, 15% of sugar means having a 15:85 ratio of sugar and water in 100g of sugar syrup. Let the sugar in 100g of sugar syrup be x. so, the water in the syrup is (100-x), therefore,

[tex]\bold{\dfrac{15}{85} = \dfrac{sugar}{water}}[/tex]

Substituing the values we get,

[tex]\dfrac{15}{85} = \dfrac{x}{100-x}\\\\15\times(100-x) = 85x\\1500 - 15x = 85x\\1500 = 85x +15x\\1500 = 100 x\\\\x = \dfrac{1500}{100}\\\\x = 15[/tex]

Hence, In 100g of 15% sugar syrup, there is 15g of sugar.

Learn more about sugar syrup:

https://brainly.com/question/7459847

4 times x plus 2 is at most 10

Answers

This is how to solve this problem

If jeremy gives his horse 12 gallons of water each day. How many one quart pails of water is that






Answers

Multiply total number of gallons per day by number of quarts in one gallon

4 quarts= 1 gallon

= 12 gallons * 4 quarts in 1 gallon
= 48 quarts


ANSWER: He would use 48 quart pails of water per day to give his horse 12 gallons of water.

Hope this helps! :)

Two cyclists leave town at the same time on the same road going in  the same direction. Cyclist a is going 6 miles per hour faster than cyclist b. After 8 hours, cyclist a has traveled three times the distance as cyclist b. Use the equation 24x= 8(x+6) to find how fast cyclist b was traveling.

Answers

24x=8x+48
16x=48
/16  /16

x=3

Answer:

3 mph

Step-by-step explanation:

Two cyclists leave town at the same time on the same road going in  the same direction.

Cyclist A is going 6 mph faster than cyclist B

Let speed of cyclist B be x mph

Speed of cyclist A be (x+6) mph

Both cyclist leave town at the same time and traveled 8 hours.  

Distance covered by cyclist A in 8 hours= 8(x+6)Distance covered by cyclist B in 8 hours= 8x

After 8 hours cyclist A has traveled 3 times the distance as cyclist B

Therefore, 8(x+6) = 3(8x)

8x + 48 = 24x

24x - 8x = 48

       16x = 48

          x = 3 mph

Hence, The speed of cyclist B was 3 mph

what type of figure is quadrilateral fxyh

Answers

The type of figure that is quadrilateral fxyh is a trapezoid

Answer: Quadrilateral fxyh is a trapezoid

Step-by-step explanation: Hi, the correct answer is trapezoid.

A trapezoid is a Quadrilateral ( a polygon with four sides) with a pair of opposite sides parallel. These parallel sides are called the bases of the trapezoid, and the other non-parallel sides are known as the "legs" of the trapezoid.

Feel free to ask for more if it´s necessary or if you did not understand something.

Why was the country of Australia created

Answers

The Aussie was created for the animal lovin friends of kangeroo's

Find the area of the trapezoid to the nearest tenth.

Answers

You have not provided a diagram, therefore, I cannot provide you with the exact solution.
However, I will try to help you with the procedures on how to get the area of trapezoid and you can apply on the diagram you have.

Now, area of trapezoid can be calculated using the following rule:
area of trapezoid = [tex] \frac{b1 + b2}{2} * h[/tex]

where:
b1 is the length of the first base
b2 is the length of the second base
h is the height of the trapezoid
The bases are the two parallel sides in the trapezoid

To better illustrate this, consider the attached diagram.
We have:
b1 = 5 m
b2 = 8 m
h is the perpendicular height = 4 m
Area = [tex] \frac{5+8}{2} *4[/tex] = 26 m²

Hope this helps :)

Kristen and Sam notice that the means of their scores for the first marking period were the same. Kristen commented that the standard deviation of her scores was 8.4 while the standard deviation of Sam's was 4.8. Which statement must be true?

Answers

The correct answer is option B.

Standard Deviation is a measure of how much the scores vary on average from the mean value. A larger standard deviation signifies that values are away from the mean, a smaller standard deviation shows that the values are close to the mean.

Since the standard deviation of Sam's scores is lower as compared to that of Kristen, we can say that Sam's score were more closer to the mean value and were consistent.

So, option B is the correct answer

Need help with this question: Write the equation of the parabola with focus (5,2) and directrix x=1

Answers

Directrix  is x =1, so it is horizontal parabola.Vertex is between the focus and directrix on equal distance 5-x=x-1, 2x=6,
x=3. y -coordinate of the vertex for this parabola equals y-coordinate of the focus.
Vertex (3,2).

Focus has x=5 >1, so it is directed to the right.[tex](y-y_{0})^{2}=4p(x-x_{0}) \\(y-2)^{2}=4p (x-3) p is a distance between vertex and focus, and equals abs(p)=abs(5-3)= 2 \\(y-2)^{2}=(4*2) (x-3) \\(y-2)^{2}= 8 (x-3) [/tex]




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