Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.
For example below below:
{(1,1),(2,3),(3,3),(4,5)}The following relation is a function since there are no same x-values in a set.
{(1,1),(1,2),(2,2),(4,8)}The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.
From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.
Answer
Yes, the following relation is a function.Which statement is true regarding the graphed
functions?
96)
10
18
1509
f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
O f(2)= 0 and g(-2) = 0
Of(-2) = 0 and g(-2) = 0
654 -3 -2 -12
5 6 x
-4
-6
-8
-10
-124
Answer:
f(2) = 0 and g(-2) = 0
Step-by-step explanation:
0.8 is the slope of the line M'N'.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).
Now, we can find the slope of line M'N' using the slope formula:
slope of M'N' = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).
slope of M'N' = (4 - 3.2) / (2.4 - 1.6)
the slope of M'N' = 0.8
Therefore, the slope of line M'N' is 0.8.
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Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?
Answer:
½
Step-by-step explanation:
the scale factor of dilation = 6/12 = ½
ANNNSWER PLZ 20 c rule
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
5m−2(m+3)+6/2
=3m−4/2
Step 1: Simplify both sides of the equation.
5m−2(m+3)+6/2
=3m−4/2
5m+(−2)(m)+(−2)(3)+6/2
=3m+−2(Distribute)
5m+−2m+−6+3=3m+−2
(5m+−2m)+(−6+3)=3m−2(Combine Like Terms)
3m+−3=3m−2
3m−3=3m−2
Step 2: Subtract 3m from both sides.
3m−3−3m=3m−2−3m
−3=−2
Step 3: Add 3 to both sides.
−3+3=−2+3
0=1
Answer:
There are no solutions
Answer:
No solutions
Step-by-step explanation:
[tex]5m-2(m+3)+\frac{6}{2} =3m-\frac{4}{2}[/tex]
[tex]5m-2m-6+\frac{6}{2} =3m-\frac{4}{2}[/tex]
[tex]5m-2m-6+3 =3m-2[/tex]
[tex]5m-2m-3 =3m-2[/tex]
[tex]3m-3 =3m-2[/tex]
[tex]3m-3+3 =3m-2+3[/tex]
[tex]3m=3m+1[/tex]
[tex]3m-3m =3m- 3m+1[/tex]
0 = 1
No solutions
In 2 Year 6 classes, 2/5 of the children are girls. There are 39 boys. How many children are there in the class?
Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .
Answer: one solution.
Step-by-step explanation:
[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]
This equation has one solution: x = 6.
What are the apparent coordinates of the midpoint of ab
Answer:
A. [tex](-1,-2)[/tex]
Step-by-step explanation:
Hope this helps you.
( -4, 1 ) and ( 2 , -5 )
Now,
mid point = ( 2 - 4 )/2 , ( -5 + 1 )/2
= ( -2 /2 ) , ( -4 /2)
= ( - 1, - 2 )
A ( - 1, - 2 )
I hope it's help you...
Mark me as brainliest...
find the value x in the figure :
Answer:
[tex]{ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}[/tex]
x = 3
step-by-step explanation:
Perimeter of rectangle = 2 ( l + b )
Where, we have
breadth is ( x + 6 ) cmlength is ( x + 2 ) cmPerimeter is 26 cm.substitute the values
28 cm = 2 ( ( x + 2) + ( x + 6 ))
28 cm = 2 ( x + 2 + x + 6 )combine like terms
28 cm = 2 ( 2 x + 8 )distributing 2 through parantheses
28 cm = 2 × 2x + 2 × 828 cm = 4x + 16subtract 16 from both side
28 cm - 16 = 4x + 16 - 1612 cm = 4xdivide both side by 4
12 cm / 4 = 4 x / 43 cm = xA sporting goods store pays $200 for a rubber raft. The percent of markup is 26%.
Find the raft's selling price,
What are the possible degrees for the polynomial function?
Answer:
degrees of 5 or greater
Step-by-step explanation:
peaks counted are 5
Given two similar cylinders with a height ratio of 2:3 what is the ratio of their volumes?
Answer:
8 : 27
Step-by-step explanation:
The ratio of the volumes is the ratio of the scale factor cubed
2^3 : 3^3
8 : 27
Answer:
8 : 27
Step-by-step explanation:
Given 2 similar cylinders with height ratio = a : b , then
ratio of volumes = a³ : b³
Here height ratio = 2 : 3
ratio of volumes = 2³ : 3³ = 8 : 27
Select the correct answer.
Alan's dogs have a total of 24 legs (l). If each dog has 4 legs, which equation gives the number of dogs (d) that Alan has?
A.
4 × d = 24
B.
4 × l = 24
C.
4 + d = 24
D.
4 + l = 24
does anyone know the answer to that question i need it ASAP !!!!
Answer:
the answer is a 4 x d = 24 I think
Farida bought 20 stamps consisting of 20 sen stamps and 60 sen stamps. The total cost of the stamps is RM8.80. How many 20 sej stamps did Farida buy?
Answer:
# of 20cent stamps = 8
Step-by-step explanation:
Let the number 20cent stamps be = x
Let the number 60 cents stamps be = y
Total number of stamps => 20 = x + y ----------- ( 1 )
Total cost of the stamps = 8.80
That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )
( 2 ) => 20x + 60y = 880
=> x + 3y = 44
=> x = 44 - 3y
Substitute x in ( 1 ) => x + y = 20
44 - 3y + y = 20
- 2y = 20 - 44
- 2y = - 24
2y = 24
y = 12
Substitute y = 12 in ( 1 ) => x + y = 20
x + 12 = 20
x = 8
फरक परेछ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation,
Answer:
you nepali me nepali all are nepalese nepalese are only unintelligent
3. If a + b = C, which of the following statements is true?
Answer:
first one
Step-by-step explanation:
a + b = c
subtract a from both sides
b = c - a
or
c - a = b
[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]a + b = c[/tex]
[tex]⇢ b = c - a[/tex]
[tex]⇢ c - a = b[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Select the outlier in the data set.
93
82
10
61
99
89
84
95
75
98
If the outlier were removed from the data set, would the mean increase or decrease?
Answer:
10
The mean would increase after the outlier is removed
Step-by-step explanation:
An outlier in a dataset is a number that differs significantly from the other data in the set.
In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.
Mean = sum of the numbers / total number
Mean including the outlier =
(93+ 82 + 10 + 61 + 99 + 89 + 84 + 95 + 75 + 98) / 10 = 78.6
Mean without the outlier =
(93+ 82 + 61 + 99 + 89 + 84 + 95 + 75 + 98) / 9 = 86.2
the mean increased after the outlier was removed
5 3 Divide: 3 4
[tex] \frac{5}{?8 \div \frac{3}{?4} } [/tex]
Answer:
Step-by-step explanation:
x
In the triangle below, what is the length of the side opposite the 60° angle? O A. 3 O B. v O C. VE OD. 6
Answer:
I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.
What is the area of ABC?
This value is approximate.
=========================================================
Work Shown:
area = 0.5*side1*side2*sin(included angle)
area = 0.5*AB*AC*sin(A)
area = 0.5*11*18*sin(55)
area = 81.0960523846101
area = 81.1 cm^2
The cm^2 refers to "square cm".
Notice that the angle must be between the two sides, hence the "included".
A passenger traveling by air is allowed a maximum of 20kg luggage. A man has 4 bags weighing 3.5kg , 15kg, 2kg, 1.5kg. Find the excess weight of the luggage. Express the excess weight as a percentage of the maximum weight
Answer:
The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.
Step-by-step explanation:
First, we need to find the weight (W) of the 4 bags:
[tex] W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg [/tex]
Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:
[tex] W_{e} = W - M = 22 kg - 20 kg = 2 kg [/tex]
We can express the excess weight in percentage as follows:
[tex] \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% [/tex]
Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.
I hope it helps you!
solve the missing side in the right triangle below
Answer: the root of 145 so b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
9^2 + 8^2 = c^2
81 + 64 = c^2
144 = c^2
[tex]\sqrt{144}[/tex] = c
Remember, C is always the hypotenuse, or the longest side. A and B can be either base.
( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với
[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]
[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]
[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]
[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]
[tex] ➺\: - 15x = - 2\\[/tex]
[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]
[tex]➺ \: x = \frac{2}{15}\\ [/tex]
[tex] ➺\: x = 0.1333[/tex]
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]
Choose the expression that represents a linear expression 6x+6. -6x^2+8x-9. 8x^3+9x^2-10x+11. 7x^4-8x^3+9x^2-10x+11
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
a linear expression is the form
[tex]y = mx + b[/tex]
In the diagram below, AJKL is an equilateral triangle and KM I JL.
к
3
2
Which statement must be true?
O A. JK = KM
B. AJKM is a 30-60-90 triangle.
O C. KM = 2 .JM
D. AJKM is a 45-45-90 triangle.
Answer : B
Step-by-step explanation:
Ape
The statement which is true is KM = 2 .JM, the correct option is C.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
AJKL is an equilateral triangle
Now,
Using these properties, we can eliminate some of the options.
Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.
Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.
Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.
Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:
KM^2 = AK^2 - AM^2
KM^2 = (AK/2)^2 - (AL/4)^2
KM^2 = (AK/4)^2 + (AL/4)^2
KM^2 = ((AK + AL)/4)^2
Since AK + AL = 2 * JL,
KM^2 = (JL/4)^2 * 4
KM^2 = (JL/4)^2 * 4
KM = JL/4 * 2
KM = JL/2
Therefore, the answer of the triangle will be KM = 2 * JM.
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A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
write an equation for the sentence: the sum of six and twice a number is equal to sixteen minus the number.
URGENT! ONLY HAVE 5 MINUTES!
Answer:
6+2x=16-x.
Step-by-step explanation:
X will represent the missing number. Sum means 6, twice that number means multiply it by two, equal represents =, minus represents this, therefor the equation 6+2x=16-x represents the correct answer.
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Ty
Step-by-step explanation:
How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions
Answer:
No Solution
Step-by-step explanation:
because both of them have same gradient or slope.
we can say that those linear equations are parallel
could anyone help me with this?
Answer:
93.4 cm²
Step-by-step explanation:
Area of the shaded region = area of the square - area of half of the circle
Area of the shaded region = s² + ½(πr²)
Where,
r = 6.2 cm
s = length of square = diameter of circle = 2*r = 2*6.2
s = 12.4 cm
Plug in the values
Area of the shaded region = 12.4² - ½(π × 6.2²)
= 153.76 - 60.381411
= 93.378589
≈ 93.4 cm² (nearest tenth)
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( 3 × 5 ) + ( 2 × 4 ) =
15 + 8 = $ 23
what is 3.78 × 10 ²=
Answer:
3.78 × [tex]10^{2}[/tex] = 378
Step-by-step explanation:
