Is the relation {(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)} a function? Explain. Type your answer below
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If you had something like {(1,2),(4,5),(1,7)} then it wouldn't be a function since x = 1 repeats itself. In this example, x = 1 leads to more than one output.
{(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)}
As long as there are the same x-value does not have multiple y-value results, it will be a function. This data array doesn't contain any recurring x-values. Therefore, this is a function (in simple terms of speaking).
Related Questions
A box has dimensions of 17 inches long.1.3 feet wide, and 8 inches high. What is the valine of the box? The formula for the volume is V = l• w •h.
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convert the feet to inches so all 3 dimensions are in the same measurement
1.3 x 12 = 15.6 inches
now multiply them all
17 x 15.6 x 8 = 2121.6 cubic inches
round the answer if you need to
What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?
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[tex]d = \frac{a_{n}-a_{m}}{n-m} [/tex] ⇒
[tex]d = \frac{-120-(-32)}{9-1} = \frac{-88}{8} = -11[/tex]
now, when we know d, we can find the 32nd term by using a following formula:
[tex]a_{n}=a_{1}+(n-1)*d[/tex]
[tex]a_{32} =-32+31*(-11) = -32-341 = -373[/tex]
the answer is [tex]a_{32} = -373[/tex]
Answer:
-373
Step-by-step explanation:
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What is the answer to solve negative eight positive negative 2 for integers?
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(-8) + (-2)
A positive sigh followed by a negative sign usually yields a negative value.
Therefore, the above equation becomes:
- 8 - 2 which can be easily calculated:
-8 -2 = -10
Samantha loves to download new music. She originally had 52 songs but plans to purchase 2 new songs each week. She wants to know how many songs she will have after 93 weeks. Which equation should she use?
a93 = 93 + 2(52 − 1)
a93 = 93 + 2(52 + 1)
a93 = 52 + 2(93 + 1)
a93 = 52 + 2(93 − 1)
Hint: It's either A, B, C, or D
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a(n)=a+d(n-1), where a=initial value, d=common difference.
In this case a=52 and d=2, so our formula is:
a(n)=52+2(n-1) and if we are looking for the 93 term we have
a(93)=52+2(93-1)
PLZ HELP I NEED THIS TODAY!!!!Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
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P = a + b + c, where a, b, and c are sides of the triangle.
Here is:
a = 2.3 x + 14, b = 3 x and c = - 0.2 x + 15
P = ( 2.3 x + 14 ) + 2 x + ( - 0.2 x + 15 ) =
= 2.3 x + 14 + 2 x - 0.2 x + 15 = 4.1 x + 29
Answer: The perimeter of the triangle is 4.1 x + 29
is this correct? if not please let me know how to solve it
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All you had to do was distribute and you did that perfectly.
A line with a slope of 0 passes through the point (0, -5) . what is its equation i n slope -intercept form?
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ABCDEFGHIJ is a regular decagon. Find the length of the apothem. Round the answer to the nearest tenth.
A.
8.0
B.
20.5
C.
24.7
D.
26.0
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fn is the fixed number (1,539) and S the side of the polygon.
a = 16*1,539 = 24,624 = 24,7
Answer C
∫n is the fixed number (1,539) and S the side of the polygon.
a = 16 × 1,539 = 24,624 = 247
Answer: C 24.7
What is h(x) = –3x2 – 6x + 5 written in vertex form?
h(x) = –3(x + 1)2 + 2
h(x) = –3(x + 1)2 + 8
h(x) = –3(x – 3)2 – 4
h(x) = –3(x – 3)2 + 32
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h-5=-3x^2-6x divide both sides by -3
(5-h)/3=x^2+2x halve the linear coefficient, square it, add it to both sides....
(2/2)^2=1 add 1 to both sides...
(5-h+3)/3=x^2+2x+1, now the right side is a perfect square...
(8-h)/3=(x+1)^2 multiply both sides by 3
8-h=3(x+1)^2 divide both sides by -1
h-8=-3(x+1)^2 add 8 to both sides
h=-3(x+1)^2+8
h(x)= -3(x+1)^2+8
Second answer down from the top :)
Answer:
its b
Step-by-step explanation:
I just did the assignment
Prove or disprove the identity. If you find the identity is true, state the first line of the proof. If you find the identity is false, write the correct equation by replacing the right side.
sin x cos x tan x cot x = 1
A) the identity is true. sin x cos x tan x cot x = cos x
B) the identity is true. sin x cos x tan x cot x = sin x tan x
C) the identity is false. sin x cos x tan x cot x = sin x cos x
D) the identity is false. sin x cos x tan x cot x = sin x
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Change to sin's cos's:-
= sin x cos x sin x cos x
------- -------
cos x sin x
= sin x cos x
C is correct
Final answer:
The identity sin x cos x tan x cot x = 1 is false. By using the definitions of tan and cot, we can show that sin x cos x tan x cot x simplifies to sin x cos x.
Explanation:
The student has asked to prove or disprove the identity sin x cos x tan x cot x = 1. To verify this identity, we need to remember the definitions of the trigonometric functions. The tangent (tan) of an angle is the ratio of the sine (sin) to the cosine (cos) of that angle, and the cotangent (cot) is the reciprocal of the tangent.
Therefore, tan x = sin x / cos x, and cot x = cos x / sin x. When we multiply tan x by cot x, we get:
tan x × cot x = (sin x / cos x) × (cos x / sin x) = 1
Now, multiplying this result by sin x cos x gives:
sin x cos x tan x cot x = sin x cos x × 1 = sin x cos x
Therefore, the correct equation is sin x cos x tan x cot x = sin x cos x, which means the correct answer is:
(C) the identity is false. sin x cos x tan x cot x = sin x cos x
HELP PLEASE..answer fast please and show all work and explain how to solve
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select all tht apply
If n-^2 = 1/16, then n could be which of the following?
-8
-4
-1/4
1/4
4
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Yi's average for her first 3 tests is 88. what musit she score on her last test to bring her average up to 90
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She needs to bring it up to a 90.
Let's start with if she gets a 90.
88 + 90 = 178
178/2 = 89
A 90 would only get her an average of 89, so you need to go higher.
88 + 91 = 179
179/2 = 89.5
88 + 92 = 180
180/2 = 90
She must get at least a 92 to get an average of 90.
Salvage system algebraically. Show all your work in circle your answers
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2(y+2)+4y=-2
2y+4+4y=-2
6y+4=-2
6y=-6
y=-1
Plug the y value in to find x
x= (-1)+2
x=1
Final answer: (1,-1)
Lana Powell has cumulative earnings of $110,000 at the end of September. In the first week in October she earns $2,000. The amount deducted for Social Security and Medicare from her check is (assume Social Security rate of 6.2% on $110,100 and Medicare of 1.45%):
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Answer:
Lana Powell has cumulative earnings of $110,000 at the end of September. In the first week in October she earns $2,000. The amount deducted for Social Security and Medicare from her check is (assume Social Security rate of 6.2% on $110,100 and Medicare of 1.45%):
Step-by-step explanation:
In the first week of October on the $ 2,000, we must deduct the two expenses, that of 6.2% and 1.45%, and then add them between them and subtract them from the $ 2000.
It would be the following: 2000 x 6.2% = $ 124; 2000 x 1.45% = 29; 124 + 29 = $ 153 is the amount to be deducted from the $ 2,000; $ 2000 - $ 153 = $ 1847.
Lana Powell's paycheck for the first week in October would have $124 deducted for Social Security and $29 for Medicare, resulting in a total deduction of $153. Her cumulative earnings are not considered here as she has exceeded the earnings threshold of $110,100 for Social Security tax.
Explanation:Lana Powell's earnings for the first week in October are subject to deductions for Social Security at a rate of 6.2% and Medicare at a rate of 1.45%. To calculate these deductions, you multiply her weekly earnings by the respective rates:
Social Security deduction = $[tex]2000*6.2/100 = $124[/tex]Medicare deduction = $[tex]2000*1.45/100 = $29[/tex]Therefore, the total amount deducted from Lana Powell's paycheck for Social Security and Medicare is $124 + $29 = $153.
Note that you do not consider her cumulative earnings in this case. The Social Security tax is applicable only up to a wage base limit of $110,100 and since her cumulative earnings have already exceeded this limit, she would not be paying any additional Social Security tax beyond this earnings threshold.
Learn more about Payroll tax calculations here:https://brainly.com/question/9497135
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(02.07)Solve for L: A = L ⋅ W ⋅ H
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/WH = L
Therefore L = A / WH
Let's solve for l.a=lwhStep 1: Flip the equation.hlw=aStep 2: Divide both sides by hw.hlw/hw=a/hwl=ah/w
If vertex T' is at (2,-2) what are the coordinates of vertex s
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which of the following is an example of conditional probability.
A: probability of hitting a home run
B: Probability of getting an A on a test, given that you didn't fail the test
C: probability of drawing a club from a deck of 52 cards
D: probability of getting an A on a test
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The example of conditional probability is Probability of getting an A on a test, given that you didn't fail the test.
What is conditional probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
For Conditional probability, the event should be dependent events.
Also, the probability of an event and the condition is that the other event has already been occurred.
Here, in Probability of getting an A on a test, given that you didn't fail the test is example of conditional probability because " you didn't fail the test " already occurred and now find the probability of getting A.
Learn more about conditional probability here:
https://brainly.com/question/1523913
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A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. a random sample of 28 rounds of golf had a sample standard deviation of 3.5. what is the number of degrees of freedom for this hypothesisâ test?
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for Normal Distribution test, we do not need to find a degree of freedom
for T-test and Chi-Square test, we do n - 1 to find the degree of freedom, where 'n' is the sample size.
if we have two different sample size, then the degree of freedom is given by (n₁ + n₂) - 2
We are given only one sample size, n = 28, hence the degree of freedom is 28 - 1 = 27
One way to recognize a line of symmetry is to look for a line that divides the original image into
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like a square if you half it both sides equal each other but if you half a elephant then it is not equal
for example a line of symmetry fro an isosceles triangle is a line from vertex to midpoint of the opposite side.
What is the square root of 75 in simplified form?
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so yeah this is filler text
Answer:The answer is
5 3
Step-by-step explanation:
What's the 6th term in a sequence that starts with -7.5 and has a common ratio of 9?
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The mass of mercury is 330,200,000,000,000,000,000,000 kilograms. how can this number be written in scientific notation?
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Final answer:
The mass of mercury, 330,200,000,000,000,000,000,000 kg, can be written in scientific notation as 3.302 × 10²⁰ kg. Scientific notation helps to express very large numbers in a more manageable form, using a coefficient between 1 and 10 multiplied by a power of ten.
Explanation:
To write the mass of mercury in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of ten. The mass given is 330,200,000,000,000,000,000,000 kilograms, which can be written as 3.302 × 10²⁰. Since there are 20 digits to the right of the first digit (3), the exponent in the scientific notation will be 20.
In scientific notation, the mass of mercury is thus written as 3.302 × 10²⁰ kg.
When converting to scientific notation, we use multiplication and division techniques to adjust the original number, so the resulting coefficient is a value from 1 up to, but not including, 10. This method is commonly used by scientists and astronomers when dealing with astronomical numbers, as in this case with the mass of a planet or in chemistry with the mass of an atom.
Gabby solved x2 - 3x = 4 as shown below:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = -4 and x = 1
Caitlyn says Gabby is wrong and believes this is the solution:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = 4 and x = -1
Is Gabby or Caitlyn correct? What mistake was made by the incorrect girl? Type your response in the box provided.
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Both factored correctly but the reason Gabby is wrong is because of the Zero Product Property, which says if (x-4)(x+1)=0, then (x-4)=0 or (x+1)=0.
If (x-4)=0, then the value of x must be 4.
If (x+1)=0, then the value of x must be -1.
2. Richmond Appliance repairs washing machines. The revenue that the company earns is given by the function R(h) = 20 + 45h dollars for every h hours spent repairing washing machines. The company’s overhead cost is given by the function C(h) = 5h2 – 30 dollars. For what number of hours does the company break even? Show your work.
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[tex]R(h)=C(h)[/tex]
[tex]20+45h= 5h^{2}-30 [/tex], rearranging to make the equation 'zero' on LHS
[tex]0= 5h^{2}-30-20-45h [/tex]
[tex]0= 5h^{2}-45h-50 [/tex], divide each term by 5
[tex]0= h^{2}-9h-10 [/tex], factorise
[tex]0=(h+1)(h-10)[/tex], equate each factor to zero
[tex]h=-1 [/tex] and [tex]h=10[/tex]
We choose the positive value of [tex]h[/tex]
Hence, the number of hours needed to break even is [tex]h=10[/tex]
Answer:
The number of hours needed for the company to break even happens when
, rearranging to make the equation 'zero' on LHS
, divide each term by 5
, factorise
, equate each factor to zero
and
We choose the positive value of
Hence, the number of hours needed to break even is
Step-by-step explanation:
Suppose A and B are independent events if P(A) = 0.4 And P(B) = 0.1, what is P(A'uB)? APEX
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so we have, P(A∩B) = 0.4×0.1 = 0.04
P(A') = 1 - 0.4 = 0.6
This information can be represented on a Venn diagram as shown below
P(A'∪B) means the union of everything that is not A with everything that is B
P(A'∪B) = 0.06 + 0.54 + 0.04 = 0.64
Answer:0.6
Step-by-step explanation:
Which statement is true about the polynomial after it has been fully simplified? (See picture)
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In what remains, there are 2 terms, each with the highest degree of 2, so I would be led to believe A is your answer.
How to factor x^2+27
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If you know complex, than:
x²+27=x²-i²*3*9=(x-i*3√3)(x+i*3√3)
what is the solution to y=x+16 and y=-x+4??
Please show work and explanation in how its done...
so i can understand better cause I'm new to these problems...
so i can get all the help i can get (:
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y=-x+4
All you have to do is substitute.
Put the second equation into the first equation.
-x + 4 = x + 16
4 = 2x + 16
-12 = 2x
-6 = x
Now substitute the x into one of the equations to get y.
y = (-6) + 16
y = 10
The solution to these equations is (-6, 10).
what is the proportion for 2/3 and 8/10