A group of students were discussing whether the relationship on the graph
is a function.
Answers
Answer:
A function is a relationship that maps the elements of a set, the domain, into elements of another set, the range.
The restriction that we have for functions is: The elements on the domain can be mapped into only one element in the range.
Then if:
f(x1) = y1
and
f(x1) = y2
where y1 is different than y2
f(x) is not a function.
Now, in the graph you can see a region where both lines overlap, then for some values of x we have two possible values of y, this means that the graph does not represent a function.
Then:
Ed: He is incorrect because we can have different values in the domain mapped into the same value in the range (like in the case of a line y = b, where we have all the elements in the domain mapped into the same element in the range, b)
Debra: There is something called piecewise functions, that are functions of this type, formed by different pieces.
Alejandro: He is correct.
Antoine: Not because you can write an equation means that the relation is a function. You can write an equation for a circle, but it will not be a function.
Related Questions
Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.
Answers
Answer:
Please see attached image
Step-by-step explanation:
The numbers on the upper row should be: 7 6 2
the number in the central disk should be 5
the bottom row should read : 8 4 3
The addition on top row: 7 + 6 + 2 = 15
the addition on bottom row: 8 + 4 + 3 = 15
the addition on the central vertical column: 6 + 5 + 4 = 15
diagonal going down: 7 + 5 + 3 = 15
diagonal going up: 8 + 5 + 2 = 15
The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months
Answers
Answer: 0.9968
Step-by-step explanation:
Let [tex]\overline{X}[/tex] be the sample mean life of television.
Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]
The probability that the sample mean would be less than 143.4 months will be :
[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]
hence, the required probability = 0.9968
3) If CDEF ≅ MNPQ, then de ≅ _____
A. MN
B. NQ
C. NP
D. PQ
Answers
Answer:
c. NP
Step-by-step explanation:
NP is in the same position as DE (the middle)
who helps me do this
Answers
Answer:
1. True
2. false.
3. true
4. false
5. true
The square root of 144
Answers
Answer:
12
Step-by-step explanation:
What number is 88%of 300?
Answers
Answer:
29.33
Step-by-step explanation:
88 is what percent of 300 = 29.33.
Answer:
264
Step-by-step explanation:
im not sure but i had this same thing on a quiz and i got it correct
12/3×11/3 why the exponents can not be added
Answers
Answer:
The bases are not the same.
Step-by-step explanation:
12/3 is not equal to 11/3
Therefore we cannot add the exponents together.
Hope I helped :)
Answer:
(see below)
Step-by-step explanation:
12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:
1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.
2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:
12³ × 11³ = 1728 × 1331
= 2,299,968
(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]
= 1.216649217 × [tex]10^{19}[/tex]
However, (12 × 11)³ would be equivalent to 12³ × 11³.
(12 × 11)³ = (132)³
= 2,299,968
not sure need help
Answers
Answer:
8.2
Step-by-step explanation:
Martel sold 7 cups of lemonade at his lemonade stand. How many fluid ounces did he sell?
Answers
Answer: Your answer is 56 fluid ounces
Step-by-step explanation: 1 cup (in the us) is equivalent to 8 fluid ounces (in the us) and 8 times 7 is 56!
Hope this helps, if not, comment below please!!!
Answer:
56 fluid ounces
Step-by-step explanation:
One cup has 8 fluid ounces and one fluid ounce is 0.13 cups.
cup * 8 = fl-oz
A circle’s circumference is 600 m. What is the circle’s area?
a
36,000.17 m^2
b
180,067.87 m^2
c
57,275.17 m^2
d
300,000 m^2
Need this answer asap or My Moms going to KILL me
Answers
Answer:
A-36,000.17m^2
Step-by-step explanation:
Write an equation for the line that is parallel to y = 3/5x - 8 and goes through
the point (-15,-23)
Answers
Answer:
y=3/5x-14
Step-by-step explanation:
parallel lines have the same slope, so m=3/5
y=mx+b
-23=3/5(-15)+b
-23=-9+b
-14=b
y=mx+b
y=3/5x-14
5. What is the quotient if you divide 9/12 - 1/6
Answers
54 hope it helps 54 that what is gave it to me
If the sum of three consecutive numbers is 852, what is the middle one?
Answers
Divide the total by the quantity of numbers:
852/3 = 284
Because there are an odd quantity of numbers (3) the answer is the middle number.
The answer is 284
Whats the ratio of 40 to 30 I need help
Answers
Answer:
Answer: 75%
Step-by-step explanation:
Drag each description to the correct location on the table. Each description can be used more than once.
Classify each polynomial based on its degree and number of terms.
Polynomial
Name Using Degree
Name Using Number of Terms
5x - 8x
-6- X + 34²
-0.7*²
trinomial
binomial
trinomial
linear
monomial
cubic
quartic
quadratic
quartic
quintic
Answers
Answer:
Cubic-binomial
Quintic-trinomial
Quartic-monomial
Linear-binomial
Quadratic-monomial
Step-by-step explanation:they all in order
The answers are follows:
5x²-8x Cubic binomial
-6-x^5 - 3x² Quintic trinomial
1/3 x^4 Quartic monomial
-0.7x² Quadratic monomial
What is Polynomial?Polynomials are sums of terms of the form k⋅ xⁿ, where k is any number and n is a positive integer.
According to the table:
5x²-8x Cubic binomial
-6-x^5 - 3x² Quintic trinomial
1/3 x^4 Quartic monomial
-0.7x² Quadratic monomial
Learn more about polynomial here:
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10 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
108cm²
Step-by-step explanation:
3x+x=4x
24÷4x=6
x=6
6×3=18
18×6=108
I need an answer and a explanation so I can do the rest of them
Answers
Answer:
N=85 nickels
Q=18 quarters
9514 1404 393
Answer:
equations: q+n = 103; 0.05n +0.25q = 8.75
solution: q=18; n=85
Step-by-step explanation:
Write one equation for the number of coins:
q+n=103.
Write another equation for the value of the coins:
0.05n +0.25q = 8.75.
It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.
0.05(103 -q) +0.25q = 8.75
5.15 +0.20q = 8.75
0.20q = 3.60
q = 18
n = 103 -18
n = 85
Wes has 18 quarters and 85 nickels.
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.
Answers
Answer:
This should help.
Step-by-step explanation:
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.
Write an equation that gives the amount of snow that has fallen after x hours at this rate.
Answers
Answer:
y = 2x
Step-by-step explanation:
y-int = 0
slope = 2
given that g(x)= -(x-1)^3 , write an expression for h(x) in terms of x
Answers
Answer:h(x) =-(x+5)^3
Step-by-step explanation:
PLEASE ANSWER
What do degrees measure?
A. the incline of an angle
B. the orientation of an angle
C. the type of angle
D. the length of an angle
Answers
Answer:
I woulda said B too...
Step-by-step explanation:
1. It took Lucy two hours to read the first 108 pages of a book. She read the last 48 pages in 75 minutes. What was Lucy’s average reading rate for the entire book in pages per hour?
Answers
Answer:
I have the same question
Step-by-step explanation:
determina la medida de cada ángulo identificado con las expresiones algebraicas, si se conoce que l y m son líneas paralelas (2x + 27) (3x + 6)
Answers
Answer:
I don't know what you're saying but the answer is 6x^2+93x+162
Step-by-step explanation:
A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
I really need help.
Answers
A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
First you need to list what you're given.
A submarine descends to a depth of 600 ft below the surface in 10 minutes. The question is asking for the change of the submarine's position after one minute. This can be represented as fractions in terms of [tex]\frac{distance}{time}[/tex].
[tex]\frac{600}{10} = \frac{x}{1}[/tex]
You're looking for the value of x. First you need to cross-multiply.
[tex]600 \times 1 = 10 \times x\\600=10x[/tex]
Since you're looking for x alone, you need to divide both sides by 10. This will eliminate the 10 since x is being multiplied by 10, and 10 divided by 10 is 1, making it 1x or x.
[tex]\frac{600}{10} = \frac{10x}{10}[/tex]
[tex]60=x[/tex]
That means the submarine is descending at a rate of 60 feet per minute, which can be represented as -60.
If you're looking for the submarine's position after one minute, all you have to do is subtract 60.
600 feet below surface is represented as -600.
[tex]-600-60=-660[/tex]
The submarine's position after one minute is 660 feet below surface(-660).
Express as a trinomial.
(3x + 3)(3x + 8)
PLEASE HELPPP:)
Answers
Answer:
9x^2+33x+24
Step-by-step explanation:
The factors (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
To express (3x + 3)(3x + 8) as a trinomial, we can use the distributive property and FOIL (First, Outer, Inner, Last) method.
First, we multiply the first term of each binomial (3x) with the first term of the other binomial (3x), which gives us (3x)(3x) = 9x².
Next, we multiply the first term of one binomial (3x) with the second term of the other binomial (8), which gives us (3x)(8) = 24x.
Then we multiply the second term of one binomial (3) with the first term of the other binomial (3x) , which gives us (3)(3x) = 9x
Finally, we multiply the second term of each binomial (3) with the second term of the other binomial (8) , which gives us (3)(8) = 24
Now we add all the products to get the trinomial
9x² + 24x + 9x + 24 = 9x² + 33x + 24
Therefore, (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
Learn more about Expressions here :
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4276 divided by 16. I need answers
Answers
Answer:
267.25
Step-by-step explanation:
4276/16=267.25
I need help please!!!!
Answers
all real numbers between −14 and 14 inclusive
Answers
Answer:
-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
Answer:
-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
Manuel has 5/8 of a pizza to share equally with his brother. What fraction of the original pizza will each person receive?
Answers
Answer:
1¼
Step-by-step explanation:
⅝ ÷½
=⅝ײ/1
=⁵/4
=1¼
Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Amount of pizza = 5/8
Equally shared between two people:
= 5/8 ÷ 2
= 5/(8x2)
= 5/16
This means that the fraction of the original pizza that each person receives is 5/16 of the pizza.
Thus,
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
Learn more about fractions here:
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Evaluate [4+(15+3)÷9]×7
Answers
Answer:
Evaluate [4+(15+3)÷9]×7 equals 42
Step-by-step explanation: