the graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.
6. look at the graph of the equation x^2+y^2=8. give its domaim and range
7. use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
8. is there any value(s) of the domain of x^2+y^2=8 that passes the verticle line test? if so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
Answers
Using the concepts of domain and range, we have that:
6. Both the domain and the range of the relation are [-2.826, 2.826].
7. The relation is not a function, as each value of x is associated with two values of y, that is: [tex]y = \pm \sqrt{8 - x^2}[/tex].
8. From item 7, we get that there are no points that pass the vertical line test.
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. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, from the graph of the circle, for item 6, both the domain and the range of the relation are [-2.826, 2.826].
A relation is a function only if each value of x is related to only one value of y. Solving the equation of the circle for y, we have that:
x² + y² = 8.
y² = 8 - x²
y = ±sqrt(8 - x²).
Hence each value of x is related to two values of y, meaning that it is not a function, and for item 8, there are no points that pass the vertical line test.
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Related Questions
Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
somewhere in between in an hour and a half. If the rate of one is 6 mph faster than the rate of other,
find the rate of each.
Answers
9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
Answer:
Try reading it over
Step-by-step explanation:
The points in the table below are on the graph of the function g(x). Which rule and table of values correspond to points on the graph of the function g‒1(x)? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 14, negative 6, negative 4, negative 2, 6. A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 1, 0, negative 1, negative 2. Column 2 is labeled y with entries 6, negative 2, negative 4, negative 6, negative 14. (a, b) → (‒a, b) A 2-column table with 5 rows. Column 1 is labeled x with entries 14, 6, 4, 2, negative 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → ( −b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 14, negative 6, negative 4, negative 2, 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → (b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries 14, 6, 4, 2, negative 6. (a, b) → (a, ‒b)
Answers
Answer:
MAG ARAL KA NG MABUTI ...PARA BALANG ARAW MAIPAGMALAKI KA... ❤️DOWN PAG MABASA MOTO☺️
A(n)?
is a number that is a multiple of two or more numbers.
Answers
The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base's side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)
Answers
Answer:
[tex]105m^3/min[/tex]
Step-by-step explanation:
We are given that
Base side of square pyramid, a=3 m
Height of square pyramid, h=9m
[tex]\frac{da}{dt}=6m/min[/tex]
[tex]\frac{dh}{dt}=-1/min[/tex]
We have to find the rate of change of the volume of the pyramid at that instant.
Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]
[tex]\frac{dV}{dt}=105m^3/min[/tex]
Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]
Can someone please help me with this question really need help
Answers
Perimeter: 39
8 1/2 is converted to 8.5
So to find the area we multiply the length and the width:
8.5 x 11 = 93.5
To find the perimeter we add up each side of the rectangle so:
8.5 + 8.5 + 11 + 11 = 39
The sum of two numbers is 24. One number is four less than the other. Find the numbers.
Answers
Answer:
The correct answer is 10 and 14
. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information
Answers
Answer:
C. x = 4√70
Step-by-step explanation:
To find x, we would apply the leg rule.
Leg rule is:
Hypotenuse/leg = leg/part
Hypotenuse = 36 + 20 = 56
Leg = x
Part = 20
Plug in the values into the equation
Thus, we would have:
56/x = x/20
Cross multiply
x*x = 56*20
x² = 1,120
x = √1,120
x = √(16*70)
x = 4√70
The correct answer is c.
A lottery game has balls numbered 0 through 9. What is the probability of selecting an even
numbered ball or a 5?
Select one:
2
a.
5
3
b.
5
c. 5
d. 2
Answers
Answer:
I believe there is a 5/10 chance
Step-by-step explanation:
Answer:
5/9 chance
Step-by-step explanation:
There are 4 even numbered balls from 0-9. Meaning there is a 4 out of 9 chance to get a even ball, but there is also a five. So the answer is 5 out of 9.
Please give brainliest :)
Which one is ASA, AAS, HL, SSS, SAS
Answers
Answer:
1. ASA
2. AAS
3. AAS
4. SSS
5. SSS
6. not sure which triangles are number 6
7. SAS
find the volume of this figure
Answers
Answer:
1920 cm³
Step-by-step explanation:
For the left figure:
10 • 8 • 14 =
80 • 14 = 1120
For the right figure:
10 • 10 • 8 =
100 • 8 = 800
Add together : 1120 + 800 = 1920 cm³
8x10x14= 1120
800 + 1120 = 1920
The sum of the lengths of two sides of a triangle must be greater than the third side. The sides of a triangle measure x
cm, 12 cm, and 10 cm. Which inequality can be used to represent the possible values of x?
VX
O X+12 > 10
X+ 12 <10
O X+ 12 > 12
O X+ 12 <12
Save and Exit
Next
Submit
Markthisandramm
Answers
Answer:
A
Step-by-step explanation:
It says the sum of the two sides must be greater than the third side, so we can eliminate answers B and D.
Answer C uses 12 multiple times, but in a equation of a triangle, we can't use 12 twice because when you calculate using the Pythagorean Theorem, X has to be the square root of 44. So C is out.
A is the correct answer. (also, I got it right on edge 2021)
[2.(9 – 8)]3 – 4 + 3
What is the answer
Answers
Answer:
5
Step-by-step explanation:
calculate (2(9-8))X3-4+3 then calculate the product (2X1)x3-4+3 then you multiply 2x3-4+3 after that you calculate 6-4+3 and you get 5
Answer:
5
Step-by-step explanation:
[2 x ( 9 – 8 )] x 3 – 4 + 3
[2 x ( 1 )] x 3 – 4 + 3
2 x 3 - 1
6 - 1 = 5
The sum of three numbers is 52. The difference of the largest and the smallest is 48, and the sum of the two smaller numbers is 11, Find the numbers.
Answers
Answer:
41, -7, 18
Step-by-step explanation:
Let a = smallest number
b = second number
c = largest number
Then a + b +c = 52 c - a = 48 a + b = 11
11 + c = 52
c = 41 41 - a = 48
-a = 6
a = -7 -7 + b = 11
b = 18
Answer:
a=-7
b=18
c=41
Step-by-step explanation:
a+b+c=52
c-a=48
a+b=11
11+48=59
a+59=52
a=-7
Willow has a recipe that asks her to use 3/4 cup of sugar. She is going to make 1/2 of the recipe, so she only needs 1/2 of that 3/4 cup. How many cups of sugar will she use?
Answers
Answer:
3/8ths cup
Step-by-step explanation:
take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th
Determine the order pair and quadrant for each point:
A.
B.
C.
Answers
Answer:
A: (-4,1) QUAD 2
B: (-1, -3) QUAD 3
C: (2,5) QUAD 1
D: (5, -4) QUAD 4
Step-by-step explanation:
multiply (-6.1)(4.1)
I answered -25.01 and was told it was wrong. It asks to answer as an integer or decimal.
Answers
simplify the expression -2m-6(m+1)
Answers
Hope this helps
Have a great day/night
Answer:
-8m - 6
Step-by-step explanation:
-2m -6( m + 1 )
Distributive property (multiply what is in the parenthesis by what is out of it)
-2m -6 * m + -6 * 1
-2m -6m - 6
Combine like terms
-2m + -6m = -8m (remember 2 negatives numbers added will give you a bigger negative number so think of it as adding 2 numbers and then putting the negative sign in front of it)
-8m - 6
You cannot simplify it anymore, since it's not like terms
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight. What will be the adult weight of Andre’s puppy?
Answers
Answer:
30 lbs.
Step-by-step explanation:
There is a much easier way to do this involving percentages, but I hate percentages so here is my way.
The adult weight will be 100% and the puppy is currently around 30%. If you multiply 30% by 3, you get 90% which is almost 100%.
So I multiplied 9 by 3 to get 27 lbs.
Now I need to get the remaining 10%. 9 lbs is 30%, soto get to 10%, I divide 30% by 3. I divided the 9 lbs by 3 to get 3 lbs.
Add the two numbers together: 27+3=30 lbs
10 points Mrs. Daniels is going to visit her grandchildren in Mexico over her summer vacation. She will be gone for one month and five days. She leaves on May 29th. When does she return? A. June 29 B. July 4 C. June 4 D. July 29
Answers
Answer:
june 4
Step-by-step explanation:
this is the answer because after may its june and she said she will be gone for 5 days so she comes home on june 4
Answer:
JUNE 4
Step-by-step explanation:
3(x-5)=6 What is the answer?
Answers
Step-by-step explanation:
3(x - 5) = 6
x - 5 = 2 (divide 3 on both sides)
x = 7 (add 5 on both sides)
The solution is x = 7.
3(x-5)=6
multiply 3 by x and -5
3x-15=6
add 15 on each side
it cancels out on the left nd on the right u get 21
so it would be
3x=21
divide by 3 on each side
X=7
Check:
3(7-5)=6
3(2)=6
6=6
Someone help pleaseee :)) thanks guyss
Answers
2 7/10
Explanation:
First you multiply 5 by 2/5 which is 2.
Next you multiply 2 by 2 which is 4.
Then you multiply -3 by 1.1 or you can turn it into a fraction then multiply
-3x11/10 which is - 33/10 .
Finally you put them all together and add or subtract.
2+4-33/10=?
6 - 33/10=?
60/10-33/10=27/10=2 7/10
25 Pionts for it :)
Molly likes to quilt. Her new quilt will have 20 squares in one row, and the side lengths of each square will be 3 inches longer than the side lengths, s, of the squares on her previous quilt.
Complete the expression below that represents the length, in inches, of one row of Molly's quilt.
Answers
Answer:
20 (3+s)
and the answer to the expression is
20 (3+s)
=60+20s
80
Which statement is true regarding the intervals where the function is increasing and decreasing? The function is increasing from (–∞, 0). The function is increasing from (0, ∞). The function is decreasing from (–∞, 0). The function is decreasing from (–∞, ∞).
Answers
Step-by-step explanation:
mark me as a brainlist hope its helpful yo you
The function is increasing from (–∞, 0). Then the correct option is A.
What is increasing and decreasing of function?If the value of y increases as the value of x increases, then increasing function.
And if the value of y decreases as the value of x increases, then decreasing function.
From the graph, the function is increasing from (–∞, 0).
Then the correct option is A.
The complete question is attached below.
More about the increasing and decreasing of function link is given below.
https://brainly.com/question/14330051
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Marla and some friends are on a road trip. Marla was assigned to drive 3/7 of the total trip. She has already driven 3/5 assigned driving duty. How much of the total trip has Marla driven. The solution will go on the right side of the equation
Answers
Answer:
9/35
Step-by-step explanation:
Let x be the total trip distance.
Since Maria is assigned to drive 3/7 of the total trip, she is to drive 3x/7.
Now, since Maria has driven 3/5 of 3x/7, the amount of the total trip she has driven is 3/5 × 3x/7 = 9x/35.
So, Maria has driven 9/35 of the total trip.
1.1 x 1.2 with work shown
Answers
Answer:
1.32 that should be correct
Answer:
1.32
Step-by-step explanation:
you would write it out like this on paper
1.1
1.2
_______
22
+ 110
_______
132. ---> 1.32 because you move it two decimal points to the left because of the decimal points in 1.1 & 1.2.
If Kiri has 28 full-time members this month, how many part-time members does she need, according to your formula?
Answers
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A. 2(x + 3) = 25
B. 2(3) + 25 = x
C. 2x + 3 = 25
D. x + 2(3) = 25
Answers
Answer:
The answer is c
Step-by-step explanation:
The function y = f(x) is shown in the graph, while y = g(x) is in the table. Choose all of the true statements.
Answers
Answer:
Step-by-step explanation:
a,b,and d
hopes this helps
Answer:
A B D E
Step-by-step explanation:
The surface areas of two cubes have a ratio of 49 to 81. What is the
ratio of the edge lengths of the two cubes?
A
7 to 9
B
1 to 32
C
32 to 49
D
3 to 4
Answers
Answer:
A
7 to 9
Step-by-step explanation:
We have that:
The ratio of the edges is x.
The ratio of the surface areas is given by [tex]x^2[/tex]
The ratio of the volumes is given by [tex]x^3[/tex]
In this question, we have that:
[tex]x^2 = \frac{49}{81}[/tex]
So
[tex]x = \sqrt{\frac{49}{81}} = \frac{7}{9}[/tex]
So the correct answer is given by option A.
If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, how much interest is earned after 15 years?
Answers
Answer:
The amount is $3372.13 and the interest is $872.13
Step-by-step explanation:
Interest is the monetary charge for the privilege of borrowing money.If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals,
then 864.671 is the interest earned after 15 years.
What is Interest?Interest is the monetary charge for the privilege of borrowing money.
Given that $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, We need to find how much interest is earned after 15 years.
After 15 years,
Amount=2500×(1+2%)^15
=3364.671
The formula for interest is given below,
Interest=Amount-Capital
=3364.671-2500
=864.671
Hence 864.671 is the interest earned after 15 years for $2,500 is deposited with 2% interest compounded quarterly and there are no other deposits or withdrawals.
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