The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
You can use the definition of a function to classify which mapping is a function and which mapping is not a function.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Using above definitionFor group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.
For group 2, we see that each input has only one output, thus,this group represents a function.
Remember that we assumed that the pair of points were written as
(input, output)
Thus.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
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Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!
Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
Need help. Sorry if the pic quality is bad…
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
the first option
Step-by-step explanation:
Of the 600 sixth graders at Melville Middle school, 80% want more field trips. How
Many students want more field trips?
Multiply total students by the percentage:
600 x 80% = 600 x 0.80 = 480
480 students want more field trips.
which statement best describes the first step to the equation -11-3x=44-2x
A. add 3 to both sides
B add 2 to both sides
C.get the variables on one side
Get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -11-3x=44-2x
Minus eleven minus three x equal to forty four minus two times of x
To solve this, we need to seperated the variable on one side
-3x+2x=44+11
-x=55
x=-55
Get the variables on one side is the first step to the equation -11-3x=44-2x
Hence, get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
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calculate the exact value of (5/12-11/13)/3/26
Answer:
-67/12168
Step-by-step explanation:
(5/12-11/13)/3/26 Find the least common denominator to get
65/156 - 132/156 = -67/156
-67/156 /3 /26 multiply -67/156 by 1/3 to get -67/468
-67/468 /26 multiply -67/468 by 1/26 to get 12168
-67/12,168
Find g(-7) for g(t) = 4t^2
Answer:
196
Step-by-step explanation:
Just plug in a -7 for everywhere there is a t:
[tex]g(t)=4t^2\\g(-7)=4(-7)^2\\g(-7)=4*49=196[/tex]
one hundred seventy nine
A.
x y
0 3
1 5
2 7
3 9
4 11
B.
x y
0 0
1 6
2 12
3 18
4 24
C.
x y
0 0
1 -3
2 -6
3 -9
4 -12
D.
x y
0 1
1 3
2 6
3 10
4 15
Which table(s) show x and y in DIRECT PROPORTION?
A)A and B only
B)B and C only
C)C and D only
D)D and A only
Answer:)
Step-by-step explanation:
please help asap rn thank you
Answer:
1 is acute
2 is a right triangle
3 is obtuse
Step-by-step explanation:
A 90 degree angle will be written as a box in the corner. Any angle less than 90 is acute, and any angle more than 90 is obtuse.
Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.
Answer:
2
Step-by-step explanation:
Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is
David has a checking account at City center Bank. During the month of April, he made deposits totaling $985.89 and wrote checks totaling $454.27 .He paid a maintenance fee of $18 and earned $2.95 in interest. His balance at the end of the month was $3,005.32. What was the balance at the beginning of April?
Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%
chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be
of number of houses it takes.
i. Name distribution (with parameter(s)) of X.
ii. What is the probability he sells his last candy bar at the 11th house?
iii. What is the probability of Pat finishing on or before the 8th house?
Probabilities are used to determine the chances of events.
The given parameters:
[tex]n = 5[/tex] ---- the number of candy bars
[tex]p = 40\%[/tex] ---- the probability of selling a candy bar
(a) Name distributions
The distribution of X is represented as:
[tex]X \sim(r,p)[/tex]
Where:
[tex]r = 5[/tex]
[tex]p= \frac{5\times 40\%}{10}[/tex]
[tex]p= 0.2[/tex]
So, the name distribution of X is [tex]X \sim(r= 5,p = 0.2)[/tex]
(b) The probability that the last candy is sold at the 11th house
This means that:
[tex]n = 10[/tex] --- the number of previous houses
[tex]r = 4[/tex] --- the previous number of candies
[tex]p = 0.4[/tex] --- the given probability of selling a candy
The probability is calculated using:
[tex]P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}[/tex]
This gives
[tex]P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}[/tex]
[tex]P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6[/tex]
[tex]P(x = 11) = 210 \times 0.4^5 \times 0.6^6[/tex]
[tex]P(x = 11) = 0.1003290624[/tex]
Approximate
[tex]P(x = 11) = 0.1003[/tex]
Hence, the probability that the last candy is sold at the 11th house is 0.1003
(b) The probability he sells the candies on or before the 8th house
The probability is calculated using:
[tex]P(x \le 8) = P(5 \le x \le 8)[/tex]
This gives
[tex]P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2[/tex]
[tex]P(x = 11) = 0.1737[/tex] ---- approximated
Hence, the probability he sells the candies on or before the 8th house is 0.1737
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14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12
Check the picture below.
Write an equation for the line parallel to the line – 25x + 5y = -9 through the point (0,0).
help pls!
Answer:
Step-by-step explanation:
Rewrite the equation is standard format: y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0). \
– 25x + 5y = -9
5y = 25x - 9
y = 5x - (9/5)
This line has a slope of 5. A parallel line will have the same slope as the reference line. This means:
y = 5x + b
Any line with a slope of 5 will be parallel, regardless of the value of b. We need b, however, since we also want this line to cross point (0,0). We can use this point in the equation and solve for b:
y = 5x + b
0 = 0x + b
b = 0
Our line becomes y = 5x + 0, or
y = 5x
[Note that we could also say b=0 just by looking at the given point. The y-intercept, b, is the value of y when x=0. The point we were given tells us y = 0 at x = 0.
Answer asap! Need help before I go to sleep.
Answer:
Step-by-step explanation:
Parallel lines have identical slopes
4x - 7y = 9
7y = 4x - 9
y = (4/7)x - 9/7
so the parallel line has form
y = (4/7)x + b
plug in the point on the line
3 = (4/7)7 + b
b = -1
y = (4/7)x - 1
As you did not tell us where you live and what time you intend to go to bed, we have NO way of knowing your actual deadline
Use the long division method to find the result when 12x3 - 27x2 + 13x + 30 is
divided by 4x + 3.

Answer:
your answer will become 69.
what is the length of FD? Need help do tomorrow!!!
Answer:
Step-by-step explanation:
The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).
The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.
The length of FD can be found using the Pythagorean Theorem. The 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. In this case, the hypotenuse is FD, and the other two sides are EC and CF.
EC = 18 units
CF = 26 units
Plugging these values into the Pythagorean Theorem, we get:
[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]
[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]
[tex]FD^2[/tex] = 324 + 676
[tex]FD^2[/tex] = 1000
FD = [tex]\sqrt{[/tex](1000)
FD = 10 * [tex]\sqrt{[/tex](10)
FD = 20.2 units
Therefore, the length of FD is 20.2 units.
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Correct Question:
In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.
Find the value of x.
Answer:
Step-by-step explanation:
The top left angle is 55 (alternate interior angles).
x + 100 + 55 = 180 All triangles are made up of 180 degrees
x + 155 = 180 Subtract 155 from both sides.
x = 180 - 155 Combine
x = 25
Hence, 'x = 25°' is the value of 'x'
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
classify the conic section without graphing 3x^2-2xy+3y^2+2x-4y+1=0
Circle: When x and y are both squared and the coefficients on them are the same — including the sign.
For example, take a look at 3x2 – 12x + 3y2 = 2. Notice that the x2 and y2 have the same coefficient (positive 3). That info is all you need to recognize that you’re working with a circle.
Parabola: When either x or y is squared — not both.
i am big brain
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
I think D because CBD is half of ABC
Step-by-step explanation:
If I am wrong I appologize
Help help help math math
Which expression is equivalent to 440d2 - 176d?
666666666666666666766666666
Answer:
c
Step-by-step explanation:
i saw the answer sheet :)
5. 4
Which input value produces the same output value for
the two functions on the graph?
(
*)
3
NO
O x= -1
O x = 0
O x= 1
O x= 2
-5 -3 -2 -
4
х
91x)
Answer:
x=1......................
Q1 (a) A random variable X has the following probability function: Х O 1 2 3 4 5 and P(x) 0 k 2k 2k 3k 5k
(i) Determine the value of "k"
(i)Find P(1.5 < X < 4.5/ X > 2)
Answer:
(i) It is known that the sum of probabilities of a probability distribution of random variables is one.
∴0+k+2k+3k+k
2
+2k
2
+(7k
2
+k)=1
⇒10k
2
+9k−1=0
⇒(10k−1)(k+1)=0
⇒k=−1,
10
1
k=−1 is not possible as the probability of an event is never negative.
∴k=
10
1
(ii) P(X<3)=P(X=0)+P(X=1)+P(X=2)
=0+k+2k
=3k
=3×
10
1
=
10
3
(iii) P(X>6)=P(X=7)
=7k
2
+k
=7×
10
1
2
+
10
1
=
100
7
+
10
1
=
100
17
(iv) P(0<X<3)=P(X=1)+P(X=2)
=k+2k
=3k
=3×
10
1
=
10
3
1/2+2/3 divided by 1/6
(no links)
[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]
IF YOU GET THIS RIGHT YOU GET BRAINLIEST
Tasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection
Answer:
13
Step-by-step explanation:
25 x 2 = 50. 10% of 70 equals 7. 50 + 7 = 57. 70 - 57 = 13.
Cards given to her friend brad + cards sold online = cards givin
25+25=50
Amount of cards + cards givin = amount left
70-50=20
10% of 20=2
20-2=18
Tasha has 18 left
Hope this helps
Mrs. Heath baked 56 cookies. She put an equal number of cookies into 7 bags. How many cookies did she put in each bag?
Answer:
8
Step-by-step explanation:
you have to divide 56 by 7 and you will get 8.
Answer:
8
Step-by-step explanation:
You're dividing the 56 cookies into 7 bags, so you write 56 ÷ 7 = 8
Find the slope
(3,5) and (6,9)
Answer:
4/3 or 1 1/3
Step-by-step explanation:
To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)
Answer:
Slope is 4/3
Step-by-step explanation:
Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.
The formula of slope between two points can be expressed as several equations, expressions, etc such as:
[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.
Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.
Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]
Therefore the slope of two points is 4/3.
__________________
Let me know in comment if you have any questions.
Use the graph method to solve the system of Linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3, 0)