Decide whether y is a function of x.
x2 + y2 = 1
Answers
Answer:
Not a function.
Explanation:
x² + y² = 1 is not a function.
Here's the breakdown!
Looking at the type of equation, It is a circle equation.
In a circle equation, y value is not completely determined by the x value.
Shown:
x² + y² = 1y² = 1 -x²y = ±√1 -x²There are multiple values of x for each value of y
Answer:
A function can be described as one-to-one or many-to-one, i.e. each value in the domain ([tex]x[/tex]-values) is mapped to a single value in f(x).
An example of a one-to-one function is a linear function. For every value of x there is one value of y.
An example of a many-to-one function is a quadratic function, where 2 different x-values map to one y-value.
[tex]x^2+y^2=1[/tex] is not a function as some values of [tex]x[/tex] are mapped to two different values of f(x).
For example, let x = 0.5
[tex]\implies (0.5)^2+y^2=1[/tex]
[tex]\implies y^2=0.75[/tex]
[tex]\implies y=\pm\sqrt{0.75}[/tex]
So as x = 0.5 maps to √0.75 and -√0.75, it is one-to-many, and is therefore not a function.
Related Questions
In 2009, there were 6342 penguins in Isla Martillo, Argentina. The area of the island
is approximately 47 square acres. To the nearest whole number, what was the
density of the penguin population?
Answers
Using it's formula, it is found that the population density of the penguin population was of 134.9 penguins per square acre.
What is the formula for population density?It is given by the population divided by the area.
In this problem:
The population is of 6342 penguins.The area is of 47 square acres.Hence:
D = 6342/47 = 134.9 penguins per acre.
More can be learned about population density at https://brainly.com/question/26148357
#SPJ1
(please help me)
Amelie spins the following spinner, which has 10 equally sized spaces numbered 1 through 10. The numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green.
A spinner as described in the text.
What is the probability that Amelie spins either an odd number or a red number?
Enter your answer as a reduced fraction, like this: 3/14
Answers
Answer:
8/14
Step-by-step explanation:
there are 5 odd numbers and 3 numbers are coloured red
Matching angles of two congruent figures
translation
corresponding
transformation
image
congruent figures
Answers
Answer:
Corresponding
Step-by-step explanation:
Matching angles of two congruent figures are called corresponding angles. The angles that are in the same position will have the same measurement.
Samir, who has six different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year.
Oranges
5%
Persimmons
15%
Apricots
35%
Plums
15%
Apples
15%
Lemons
15%
Pieces of fruit picked
Samir picked a total of 100 pieces of fruit. How many lemons did he pick?
lemons
Answers
Which scenario most likely describes an example of plagiarism?
taking a photo of a photo in an art gallery and pasting it into a personal journal
taking a photo of another photo displayed in an art gallery and claiming it as your own
painting a landscape based on inspiration from a photo in a museum
digitally altering a photograph found online and crediting the original photographer
Answers
Answer: Taking a Photo of another photo displayed in an art gallery and claiming it as your own
Step-by-step explanation: Because you are claiming something as your own(when it's not) is considered plagiarism and no other situation is considered plagiarism but this one so really the process of elimination explains the answer to this question
How many 1/2 scoops of rice can fit in a two-cup bowl
Answers
Answer:
4 (cooked)
Step-by-step explanation:
2 / 1/2 = 4
find the probabaility of each event picking a blue marble from a bag of 4 red marbles 6, blue marbles and 1 white marble
Answers
Answer:
⁶/11
Step-by-step explanation:
total marbles = 4+6+1
=11
blue marble/total marbles : ⁶/11
A right pyramid with a square base is shown. the length of the base is 8 inches and the slant height is 5 inches. kabir wants to know the volume of a solid right pyramid with a square base. he uses a ruler to measure the length of the base as 8 inches. he then measures the slant height to be 5 inches. the hypotenuse of the right triangle used to determine the height is inches. the leg of the right triangle that lies on the same plane as the base is inches. the height of the pyramid is inches. the volume of the solid pyramid is cubic inches.
Answers
The volume of the given pyramid comes to be 64 cubic inches.
Length of the square base a= 8 inches
Slant height l =5 inches
What is the volume of a pyramid?The volume of a pyramid is with base area A and height h is 1/3Ah.
So, base area A= 8*8 =64 square inches.
From Pythagoras theorem
[tex]l^{2} =(\frac{a}{2})^2 +h^{2}[/tex]
[tex]5^{2} =(\frac{8}{2})^2+h^{2}[/tex]
[tex]h=3[/tex] inches
So, volume of the pyramid = 1/3*A*h
=1/3*64*3
=64 cubic inches.
Hence, the volume of the given pyramid comes to be 64 cubic inches.
To get more about pyramids visit:
https://brainly.com/question/218706
Answer:
5, 4, 3, & 64
Step-by-step explanation:
i did it
Liana started to evaluate the function f(x) = 2x2 – 3x 7 for the input value 2. f(x) = 2(2)2 – 3(2) 7 = 2(4) – 3(2) 7 what is the value of the function when x = 2? 9 10 16 17
Answers
The value of the function when x = 2 will be 9. The value is obtained by putting the value 2 in the place of x.
What is a function?A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.
The given function in the problem is;
[tex]\rm f(x) = 2x^2 - 3x + 7[/tex]
On putting x =2 we get;
[tex]\rm f(2) = 2(2)^2 - 3(2) + 7 \\\\\ f(2) = 2(4) - 3(2) + 7 \\\\ f(2) = 8 - 6 + 7 \\\\ f(2) = 9[/tex]
Hence the value of the function when x = 2 will be 9.
To learn more about the function refer to the link;
https://brainly.com/question/12431044
Answer:
a
Step-by-step explanation:
Please help I will give brainliest.
Answers
Answer:
a = 3 , b = 8 , c = 4
Step-by-step explanation:
the standard form of a quadratic equation is
ax² + bx + c = 0
3x² + 8x + 4 = 0 ← is in standard form
with a = 3, b = 8, c = 4
If 1/3 gallon of paint covers 1/6 of a wall, then how many quarts of paint are needed for the entire wall?
Answers
Answer:
8 quarts
Step-by-step explanation:
1/3 of a gallon ---1/6 of a wall
x - 1 (all the wall)
x = (1 x 1/3) / 1/6
x = 1/3 / 1/6
x = 6/3
x = 2 gallons
1 gallons - 4 quarts
2 gallons - x
x = (2 x 4) / 1
x = 8 / 1
x = 8 quarts
Point A, B and C are given above. Give point D do make a parallelogram
Answers
I think D at (2,1) will do
hope it helps...!!!
Step-by-step explanation:
I think D at (2,1)
hope it will help
please help 10pts each
dang im rlly givin away too much points lol
solve for x
3x=5x-4
Answers
subtract 5x on both sides
-2x=-4
divide by -1 on both sides
2x=4
divide by 2 on both sides
x= 2
Answer:
x = 2
Step-by-step explanation:
Given :
3x = 5x - 4Add 4 on each side
3x + 4 = 5x - 4 + 43x + 4 = 5xSubtract 3x from each side
3x - 3x + 4 = 5x - 3x4 = 2xDivide 2 from each side
4/2 = 2x/2x = 2Mr. Silberman borrowed money for a computer for $1,500. He will pay $50 per month until it is paid off.
Ms. Washington also borrowed money for a computer. The equation D=-100m + 1,800 represents the amount Ms. Washington owes, D. in
dollars, after m months.
Which person will owe more money after 9 months? Move the correct words and dollar amount to the blanks to complete the sentence.
After 9 months.
will owe
more than
Mr. Silberman
Ms. Washington
$50
$100
$150
$200
$250
$300
Answers
Answer: Mr. Silberman has to pay $150 more than Ms. Washington.
Step-by-step explanation: First calculate how much tax Mr. Silberman will have to pay off after 9 months. 50x9=450, so $450 is how much tax he will have to pay. Add that to 1,500, which is the total cost of the computer, which equals $1,950.
Ms. Washington only has to pay $1,800. Mr. Silberman has to pay $1,950. So Mr. Silberman has to pay more. He has to pay $150 more than Ms. Washington.
Compound Shapes (with circles)
Find the area
Answers
Answer:
18.8
Step-by-step explanation:
First find the area of the rectangle, which is 4x3 (base x height) the area of the rectangle is 12.
We are given the radius as 2 for the quarter circles, and 2 quarter circles form 1 semicircle, so really we can solve for the area of one semi circle using the formula ( (pi*radius²)/2 ). Plug in the values and you should get 6.28.
Next, you add the area of the figures so 12+6.8 which is equal to 18.8.
The time t required to empty a water tank varies inversely as the rate of pumping p. A pump can empty a water tank in 40 min at the rate of 120 gal/min. Write the equation of the inverse variation. How long it will take the pump to empty the water tank at the rate of 200 gal/min?
Answers
the question requires:
the time t required.
the equation of the inverse variation.
how do find t:
first we determine how much the tank holds by multiplying 120 by 40.
the tank holds 4800 gallons.
so now to find t we can use the formula v = d/t where d is the 4800 gallons.
so: t = d/v
t = 24 minutes
now for the equation of the inverse variation.
we can say that the equation is t = d/v since t and v are inversely proportional.
note that v and t stand for velocity and time respectively.
make sure to ask if you need any further guidance!!
Answer:
t = 24
Step-by-step explanation:
what are the answers
Answers
Answer:
I use app called math
way
Step-by-step explanation:
if f(x)=(2x)^2 find f(-4)
Answers
Answer:
64
Step-by-step explanation:
1. Plug it in:
(2(-4))^2
2 times -4 is -8
(-8)^2 = 64
So there’s your answer
Find the slope of the line that passes through (3, 9) and (1, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
6-9/1-3
-3/-2
3/2
slope is 3/2
Jake and maddie each take the closest path from their homes to the store. based on the picture below, what is the approximate difference in the distance each person traveled to the store?
Answers
Answer:
we can't really answer the question without the pictue, but if the time count stays the say and the distance doen't, it would be (t=time/d=distance) (lets say time was an hour and you traveled 11 miles each hour,) then it would be 11t = d
But, if it is without multiplication, then just add all the numbers in each turn to get your answer.
Hope this saved your time. :)
Answer: 6.4 m
Step-by-step explanation:
BRAINLIEST (If there are two answers) Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, BA is the area of bases, and LA is the lateral area?
A. SA = BA + ph
B. SA = BA -LA
C. SA = BA + 1/2ph
D. SA = BA + 1/2ph
E. SA = BA + LA
Answers
Answer:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S.
Step-by-step explanation:
If your state has a property tax rate of 0.056, and you pay $3,164.45 in property taxes every year, what is the assessed value of your property? a. $177,209 b. $21,265 c. $56,508 d. $48,684 please select the best answer from the choices provided a b c d
Answers
Answer:
C $56,508
Step-by-step explanation:
You take the property taxes of $3164.45 & divide by the tax rate of .056 & you get $56,508
To double check, $56,508 property value X the tax rate of .056 (5.6%) = $3,164.45
Find a fourth degree polynomial equation with rational coefficients that has roots -1 multiplicity of 2 and 1-4i.
A. x^4-18x^2-32x-15
B. x^4+14x^2+32x+17
C. x^4+2x^3+6x^2+32x+40
D. x^4+4x^3+2x^2+12x+45
Answers
A polynomial of degree 4 will have 4 zeros. The zero of 3 with a multiplicity of 2 counts as two of these zeros. You've also been given a zero of -i. So it seems that we only have 3 of the 4 zeros. We need all 4 to be able to form the desired polynomial.
You didn't mention that the polynomial should have real coefficients. But I'm going to assume it because otherwise we can't solve the problem. If a polynomial with real coefficients has a complex zero, then the complex conjugate of that complex zero will also be a zero. This is how we will find the 4th zero.
A complex number in standard form is a + bi. Its complex conjugate is a + (-bi) or a - bi. The complex zero we were given is -i. In standard form this would be 0 + (-i). The complex conjugate of 0 + (-i) would be 0 - (-i) or 0 + i or just i.
So the four zeros of the desired polynomial are 3 (twice), -i and i. If a number "z" is a zero of a polynomial then (x - z) is a factor of that polynomial. Using this fact and the four zeros we can write a factored form of our desired polynomial:
f%28x%29+=+a%28x-3%29%28x-3%29%28x-%28-i%29%29%28x-i%29
Simplifying the 3rd factor we get:
f%28x%29+=+a%28x-3%29%28x-3%29%28x%2Bi%29%28x-i%29
where the "a" is any non-zero number. Since there are an infinite number of non-zero numbers, there will be an infinite number of possible correct solutions to this problem. To make things easy we will choose to make "a" be 1. This makes our factored polynomial:
f%28x%29+=+%28x-3%29%28x-3%29%28x%2Bi%29%28x-i%29
All we have to do now is multiply this out. We can simplify this process if we take advantage of some factoring patterns. The first two factors can be multiplied using:
%28a-b%29%5E2+=+a%5E2-2ab%2Bb%5E2
And the last two factors can be multiplied using:
%28a%2Bb%29%28a-b%29+=+a%5E2-b%5E2
With these patterns we get:
f%28x%29+=+%28%28x%29%5E2-2%28x%29%283%29%2B%283%29%5E2%29%28%28x%29%5E2-%28i%29%5E2%29
Simplifying inside each factor we get:
f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2-i%5E2%29
And since i%5E2+=+-1 this becomes:
f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2-%28-1%29%29
or
f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2%2B1%29
We have one more multiplication. There are no shortcuts for this one. We have to multiply each term of one factor times each term of the other and then add like terms, if any:
f%28x%29+=+x%5E2%2Ax%5E2%2Bx%5E2%2A1%2B%28-6x%29%2Ax%5E2%2B%28-6x%29%2A1%2B9%2Ax%5E2%2B9%2A1
Simplifying...
f%28x%29+=+x%5E4%2Bx%5E2%2B%28-6x%5E3%29%2B%28-6x%29%2B9x%5E2%2B9
f%28x%29+=+x%5E4%2B10x%5E2%2B%28-6x%5E3%29%2B%28-6x%29%2B9
Re-ordering into standard form:
f%28x%29+=+x%5E4%2B%28-6x%5E3%29%2B10x%5E2%2B%28-6x%29%2B9
This is a polynomial function of degree 4 with the given zeros.
P.S. As mentioned earlier, this is not the only possible correct answer. This is the answer when you make "a" equal to 1. Other values for "a" give us different polynomial functions which also have the same zeros. For example, if we had chosen a = 2 we would have gotten f%28x%29+=+2x%5E4%2B%28-12x%5E3%29%2B20x%5E2%2B%28-12x%29%2B18.
A
D
N
4
1
B EK
к
10
Solve for N.
AABC - ADEC
8
4
N
N=1?
10
Enter
Answers
Answer: N = 5
ok done. Thank to me >:3
Which of the following parallelograms is NOT similar to the others?
A
B
C
D
Answers
the answer is D
Step-by-step explanation:
Answer: C
Step-by-step explanation:
The height of the parallelogram for A is 3 units while the length the base is 6 units.
For D it follows this same pattern, the height is 1 which is half of the length of the base, 2.
B also follows this pattern, the height is 2 which is half of the length of the base, 4
C does not follow this pattern and is the odd one out.
-4+x< or equal to 9
Solve for x
please
Answers
Answer:
13 through -infinity
or
13, -infinity
Step-by-step explanation:
What is 14 pounds in ounces
Answers
Find the value of x. Do not include "x=" in your answer.
26
13
х
Answers
Answer:
x = 39
Step-by-step explanation:
Secant and tangent line from a point outside the cirlcle,
(length of th tangent)² = length of the secant * external segment
26² = (13 + x) * 13
[tex]\sf (13 +x)*13 = 26 *26\\[/tex]
[tex]\sf 13 + x =\dfrac{26*26}{13}[/tex]
13 + x = 2* 26
13 + x = 52
x = 52 - 13
x = 39
Letters a, b, c, and d are angle measures.
Lines f and g are intersected by line n. At the intersection of lines n and g, clockwise from the top, the angles are: a, 75 degrees, blank, b. At the intersection of lines n and f, clockwise from the top, the angles are blank, blank, d, c.
Which should equal 105° to prove that f ∥ g?
a
b
c
d
Answers
Answer: d
Step-by-step explanation:
The 75 degree angle and angle d are same-side interior angles, meaning that if they were supplementary, the lines would be parallel by the converse of the same-side interior angles theorem.
Find 1 rational number between -2/9 and 0
Answers
Answer:
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