Answers
Answer:
[tex]x\geq -6[/tex]
Step-by-step explanation:
The domain of a function is all of the values that [tex]x[/tex] can be under that specific function. In this case, we're asking what values of [tex]x[/tex] allow [tex]\sqrt{\frac{1}{3} x+2}[/tex] to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to [tex]0[/tex], because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for [tex]x[/tex]:
[tex]\frac{1}{3}x+2\geq 0[/tex]
Solving this inequality, we get:
[tex]\frac{1}{3}x+2\geq 0[/tex]
[tex]\frac{1}{3}x\geq -2[/tex] (Subtract [tex]2[/tex] from both sides of the inequality to isolate [tex]x[/tex])
[tex]x\geq -6[/tex] (Multiply both sides of the inequality by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
Related Questions
PLEASE NEED HELP ASAP
Answers
Answer:
Trapezoid
Step-by-step explanation:
They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.
That means it's at least a trapezoid.
As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).
It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.
As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).
Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).
cómo se clasifican los huesos del esqueleto humano
Answers
The bones of the body come in a variety of sizes and shapes. The four principal types of bones are long, short, flat and irregular. Bones that are longer than they are wide are called long bones. They consist of a long shaft with two bulky ends or extremities.
1.0) In spanishLos huesos del cuerpo tienen una variedad de tamaños y formas. Los cuatro tipos principales de huesos son largos, cortos, planos e irregulares. Los huesos que son más largos que anchos se llaman huesos largos. Consisten en un eje largo con dos extremos o extremidades voluminosas.
If i'm wrong please tell me
Part B
What is the density of the plne log? Show your work.
Answers
Answer:
Please Provide the an attachment.Then i can show u my answer
What is another word for zeros?
1. roots
2. axis of symmetry
3.vertex
4. y-intercept
Answers
Answer:
I think it's vertex bestie not sure tho lmk if it's wrong
PLZZZZ HELP
A. 178.3
B. 196.5
C. 250.8
D. 292.5
E. 297. 1
Answers
Answer:
E, 297.1
Step-by-step explanation:
First, find the area of the triangle using the formula a= (bh) / 2
Base x height would be 16 x 12, which is 192
192 / 2 is 96 sq meters
Then, find the area of the circle using the formula a= Pi (r^2)
If the diameter is 16, the radius would be 8 because you divide by 2
8^2 is 64, 64 times Pi is approximately 201.1
Finally, add the areas together, 96 + 201.1 is 297.1 or E
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
Answers
There are a total of 200 tiles (5 x 40)
since John paid $100 for the 200 tiles,
We have to do $100 divided by 200.
Which is .5
So $.50
You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?
Answers
Answer:
about 62%
Step-by-step explanation:
add all of the numbers
subtract the number of purple skittles
do 16÷26
multiply your answer by 100
get 61.5
round up
How far from zero is 5.5?
Answers
Answer: 5.5
When you subtract 5.5 from 5.5 you get 0
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pts)
Answers
Answer:
Here is the answer I solved.
Find the length of the third side. If necessary, write in simplest radical form 8 5
Answers
Answer: c = [tex]\sqrt{89}[/tex]
8² + 5² = c²
64 + 25 = c²
[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]
[tex]\sqrt{89}[/tex] = c
The length of the third side is 9.4.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Applying Pythagorean theorem.
Third side = x
x² = 8² + 5²
8 x 8 = 64 and 5 x 5 = 25
So,
x² = 64 + 25
x² = 89
x = √89
x = 9.4333
Rounding to the nearest tenth
x = 9.4
Thus,
The length of the third side is 9.4.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero
Answers
Given:
The equation of a circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
Write the given equation in standard form of a circle.
[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]
[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]
[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]
On further simplification, we get
[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0.5,k=1,r=2[/tex]
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
I really need to know this answer! Please help
Answers
Answer:
Area of rectangle = 54
Area of triangle= 18
Total area = 72
Step-by-step explanation:
Area of rectangle = length × width
= 9 × 6
= 54
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
[ Height of the triangle = 10 - 6 = 4 ]
Area of a triangle = [tex]\frac{1}{2}[/tex] × 9 × 4
= 18
Total area = Area of rectangle + Area of triangle
= 54 + 18
= 72
[ The unit should be: [tex]cm^{2}[/tex] or [tex]m^{2}[/tex] etc.; it should have the 'square'. ]
3 time the sum of a number and 5
Answers
Answer:
3(x+5) is the answer.
Use the graph shown above to find the
equation of the line passing through the point
in slope-intercept form
Answers
Answer:
You do not
have graph, child.
Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS
Answers
Answer:
5 games
Step-by-step explanation:
1.50x + 1.25 = 8.75
1.50x = 7.50
x = 5
Which expression is equivalent to the following: 5(6f + 5)
Answers
Answer:
30f+25 I hope it is a right answers
I hope this answers is useful for you
Find the percent of change. Round your answer to the nearest tent necessary, Please explain.
Original price: $185
New price: $160
Original number of students: 56
New number of students: 77
Answers
Answer:
No answer just clues
Step-by-step explanation:
x/100*160/1=185/1
y/100*56/1=77/1
I just can't do anymore metal math today, sorry.
A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answers
Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
Find the domain of the graphed function
Answers
Answer:
D. 2 ≤ x ≤ 5
Step-by-step explanation:
Notice that there are no points on the graph for x ≤ 2 and x ≥ 5. Or another way to look at it is that the x's are between 2 and 5, inclusive.
The domain is the set of possible x values. Therefore, 2 ≤ x ≤ 5 is the set of values for the domain
$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?
Answers
Answer:
$9,151.38
Hopefully that is correct!!
What are the values of x in the quadratic equation below? Select two options. ( x − 2 ) ( x + 4 ) = 0
Answers
x = -4
x = 2
Help! 30 Points! Find x
Answers
Answer:
do math
Step-by-step explanation:
WILL GIVE BRAINLIEST
Which expression correctly represents "nine less than the quotient of a number and four, increased by three”?
A. N/4 - 9 + 3
B. 4/N - 9 + 3
C. 9 - n/4 + 3
D. 9 - 4/n + 3
Answers
Answer:
c
a fraction bar Is just a division bar, it's c.
6th Grade Math:
A 5-pound bag of cat food costs $11. What is the unit price of the cat food?
Answers
Answer:
The unit rate is 2.20. For a single pound of cat food it would cost $2.20
Please help ASAP Gavin works as a salesperson at an electronics store and sells phones and phone accessories. Gavin earns a $12 commission for every phone he sells and a $3.50 commission for every accessory he sells. On a given day, Gavin made a total of $135 in commission and sold 12 more accessories than phones. Determine the number of phones sold and the number of accessories sold.
There were
____phones sold and
____ accessories sold.
Answers
Answer:
6 phones and 18 accessories
Step-by-step explanation:
12P + 3.50A = 135
A = 12 + P
12P + 3.50(12 + P) = 135,
12P + 42 +3.50P = 135
15.50P = 93
P = 6 phones
A = 12 + 6 = 18 accessories
what is the product of (8-3a)(8-3a)
Answers
Answer:
i think is is 64a
Step-by-step explanation:
Answer:
[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]
Can anyone give me the answer and tell me how you did it?
Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.
Solve the equation for this problem.
After you find the answer you need to find out if its cents, dollars,partners,or fruit
Thank you!
Answers
Answer:
the answer is 150
Step-by-step explanation:
Im giving 30 points pls help
Answers
Step-by-step explanation:
Pathagory and Theorem
a^2+b^2=c^2
(x-3)^2+(x-4)^2=6^2
expand:
2x^2-14x+25=36
2x^2-14x-11=0
x=(\sqrt{71}+7)/2
perimeter=(x-3)+(x-4)+6=2x-1
insert the value for x into 2x-1
[tex]\sqrt{71}[/tex]+6=perimeter
Hope that helps :)
9514 1404 393
Answer:
2x -1
Step-by-step explanation:
The perimeter is the sum of the side lengths.
P = 6 + (x -4) + (x -3)
P = 2x -1 . . . . . . collect terms
The perimeter is 2x -1.
_____
Additional comment
There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.
)) Evaluate the expression for b = 7.
11b - 75 =
Answers
Answer:
The answer is 2.
Step-by-step explanation:
11(7) - 75
77-75
=2
Which point represents the unit rate?
A
B
C
D
Answers
Answer:
d
Step-by-step explanation: