Answers
A function is a relation in which no two ordered pairs have the same first component and different second components.
We need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)?
In this case, the answer is no. The input value of 1 goes with two output values, -1 and -5. The same goes with the input value of 2, which also goes with two output values: -2 and -4.
It only takes one input value to associate with more than one output value to be invalid as a function.
I also did the Vertical Line Test to show why Option 2 is not a function. The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
However, the graph shows that the two vertical lines crossed the graphed twice (there are 2 points in each line). The graphed points failed the vertical line test. Therefore, Option 2 is NOT a function.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Related Questions
Someone help will mark brainiest:) plz make sure it’s right:)
Answers
9514 1404 393
Answer:
(c) y = 3x +2
Step-by-step explanation:
The second given point is the y-intercept, telling you that the 'b' in the equation y = mx +b is 2. This eliminates the first and last choices.
Trying the other point in the two remaining equations shows you which one works:
(b) y = -3x +2
-1 = -3(-1) +2 . . . . not true
(c) y = 3x +2
-1 = 3(-1) +2 . . . . true
The equation of the line through the two points is ...
y = 3x +2
_____
Additional comment
If you plot the two points, you see the line connecting them must have a positive slope. Only the third choice has a positive slope and a y-intercept of 2.
The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years (104 weeks) are shown to the right.
Answers
The expected number of mortgages approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.
The expected number of mortgages approved per week :
Mean = (Σfx ÷ Σf)Expected Number approved = 210 ÷ 104 = 2.019
Hence, it is expected that 2.019 mortageahes would be approved per week.
The standard deviation :
Variance = [Σ(Xi - x)² ÷ Σf] Standard deviation = √VarianceVariance = (59.5414 ÷ 104) = 0.0005698
Standard deviation = √0.0005698
Standard deviation = 0.024
Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.
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You and a friend get food you have $100 the food 60.85 and the tax is $8 and you wanna leave a 20 tip how much money will you have left
over?
Answers
Answer:
11.15$
Step-by-step explanation:
60.85+8+20= 88.85
100-88.85=11.15
Please <3 my Answer B )
need this answered quick, please provide explanation for answer thanks :p
Answers
3,5,8,11,17-35odd,47,54,70,78,80,81 pls help
Answers
Answer:
54, 78, 70, 47, 80, 81,
Step-by-step explanation:
identify the slope and the y-intercept. Show your complete solution.
7x - 2y = 13
Answers
Solving Steps:
The equation must be put in slope-intercept form to easily identify the slope and y-intercept.
Slope-intercept form: y = mx + b
7x - 2y = 13
-2y = -7x + 13
y = 3.5x - 6.5
Improper fraction form: y = 7/2x - 13/2
The temperature T of a refrigerator is at least 35°F and at most 41°F. Write a compound
inequality and an absolute value inequality for the temperature of the refrigerator.
Answers
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
A compound inequality has two inequality statements joined together
The the temperature of the inequality is represented by T
The temperature T of a refrigerator is at least 35°F and at most 41°F
This means that the temperature falls between 35°F and 41°F
Since the temperature, T, is at most 41°F
This can be mathematically interpreted as
T ≤ 41
The temperature, T, is at least 35°F
35 ≤ T
Combining the two inequality statements 35 ≤ T and T ≤ 41, the compound statement formed is:
35 ≤ T ≤ 41
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
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Help please!! i will give brainliest
Answers
Answer:
[tex]for \: - 1 \leqslant x < 1 \: y = - 3 \\ for \: \: 1 \leqslant x < 3 \: \: y = 1 \\ for \: 3 \leqslant x \leqslant 5 \: y = 5[/tex]
The value of (√5 + √2)2
(A) 7+ 2√5 (B) 1+ 5√2 (C) 7+2√10 (D) 7-2√10
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Using identity :
[tex] {(a + b)}^{2} = {a}^{2} + b {}^{2} + 2ab[/tex][tex]( \sqrt{5 }{+ \sqrt{2{}^{} } } ) {}^{2} [/tex][tex]( \sqrt{5} ) {}^{2} + ( \sqrt{2} ) {}^{2} + 2( \sqrt{5} )( \sqrt{2} )[/tex][tex]5 + 2 + 2 \sqrt{10} [/tex][tex]7 + 2 \sqrt{10} [/tex]therefore, the correct choice is :
[tex] \mathrm{C.) \: \: 7 + 2 \sqrt{10} }[/tex][tex]( \sqrt{5} + \sqrt{2} {)}^{2} \\ [/tex]
[tex]by \: \: \: using \: \: \: the \: \: \: formula \: \: (a + b) ^{2} = {a}^{2} + 2ab \: + {b}^{2} \: \: we \: \: \: get \\ ( \sqrt{5} {)}^{2} + 2( \sqrt{5}) \: (\sqrt{{2)}} + ( \sqrt{2) }^{2} \\ = \sqrt{5} \times \sqrt{5} + 2 \sqrt{5 \times 2} + \sqrt{2} \times \sqrt{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} [/tex][/tex]
Answer:(C) 7+2√10
simplify the expression 6(a-4+2b)
Answers
Answer:
6a + 12b - 24
Step-by-step explanation:
Please help asap! Correct answer gets brainliest
Answers
Answer:
C, 35 yellow books
Step-by-step explanation:
There are 10 books in total
if 3 of them is equal to 21, then one book in the picture is worth 7 books
5 yellow books can be seen thus 7x5=35
Answer:
C. 35 yellow books
Step-by-step explanation:
Let u be 1 unit.
3u = 21
u = 21÷3
=7
5u = 7×5
= 35
find the measures of the angles labeled in the figure on the right
Answers
Answer:
Step-by-step explanation:
EFD = 90* (straight line = 180, and other angle is 90)
EHF = 180-52 = 128* (again straight line)
HFG = 90-32 = 58* (its a right angle (can tell by the square angle) = 90*)
G = 180 - 52 - 58 = 70* (angles in triangle = 180)
E = 180 - 32 - 128 = 20* (angles in triangle = 180)
anyone kind enough to help out :/?
I rlly need it
Answers
Solve for a
T
U
4x 10
12x + 151
S
Answers
Answer:
x = 10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
12x + 15 is an exterior angle of the triangle , then
12x + 15 = 4x + 10 + 85 , that is
12x + 15 = 4x + 95 ( subtract 4x from both sides )
8x + 15 = 95 ( subtract 15 from both sides )
8x = 80 ( divide both sides by 8 )
x = 10
plz help i’ll give brainliest
Answers
Answer:
is equivalent
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
Maggie has a bank account balance of -18.37 as soon as she realizes this she deposits 24.50 in the account
Answers
Answer:
correct the answer is 6.13
Step-by-step explanation:
The required current balance in Maggie's bank account is 6.13.
Given that,
Maggie has a bank account balance of -18.37 as soon as she realizes this she deposits 24.50 in the account.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
initial balance in Maggies's bank account = -18.37
She deposited 24.50 in her bank account,
The current balance in her bank account = Initial balance + money deposited
Current = 24.50 - 18.37
Current balance = 6.13
Thus, the required current balance in Maggie's bank account is 6.13.
Learn more about arithmetic here:
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Forty-five people volunteered, but 200% of that number are needed. How
many people are needed?
Answers
That’s the answer
Multiply.
(−411)×(0.1)×(−22)
Answers
Answer:
904.2
Step-by-step explanation:
What is the length of the side of the triangle below?
200 cm
x cm
x cm
Answers
Step-by-step explanation:
options are wrong
this is wrong options
tge answer is underoot 200
What is the equation of a circle with a center of (2,0) and a radius of 7 units?
Answers
Answer:
y^2 + (x - 2)^2 = 49
Step-by-step explanation:
Giving answer branleist
Answers
Answer: 67/100
Step-by-step explanation: 0.67 is in the hundredths place not the tenths so it cant be 67/99 its 67/100
you have 120 cows and 90% of them are female how many female cows do you have
Answers
Answer: 108
Step-by-step explanation:
If 90% are female, that means that female = 90% of 120, or 90/100 x 120
90/100 x 120 = 108, meaning that there are 108 female cows.
Cómo se resuelve paso a paso?
2x+3=18
Answers
=>2x+3=18
=>2x=18-3
=>2x=15
=>x=15/2
A cashier has a total of 98 bills, made up of fives and fifties. The total value of the money is $2605. How much of each kind does he have?
He has ___ fives and ___ fifties.
Answers
Answer:
Step-by-step explanation:
x= number of fives
y= number of fifties
x+y=98
5x+50y=2605
Solving through elimination...
5x+5y=490
(5x+50y)-(5x+5y)=2605-490
45y=2115
y= 47
x+47=98
x=51
Which means he has 51 fives and 47 fifties
Please help me with this
Answers
Answer:
abcdefghijklmnopqrstuvwxyz
Step-by-step explanation:
know i know my abcs why wont you sing with me
K(–5, –9); rotation 180° about the origin, translation 3 units left
Answers
Answer:
Step-by-step explanation:
Rotate 180 degrees about the origin
X(x,y) ====> X'(-x,-y)
K(-5 , - 9) = K ' (- -5, - - 9)
K' (5,9)
3 Units Left.
y is unchanged.
x becomes x - 3
K'(5,9) ===>k" (5 - 3,9)
k"(2,9)
The leftward motion does not look done the same way as moving a parabola left. But you are just changing the x value to move a point left. You are not imposing other rules on the figure.
The money used in Jordan is called the dinar. The exchange rate is $3 to 2 dinars. Find how many dollars you would recieve if you exchanged 22 dinars
Answers
Answer:
He would have received $33 if he exchanged 22 dinars
Step-by-step explanation:
hi, please what's 4/5 - (-1/3) quick! I dont have that much time PLEASE
Answers
Answer:
17/15
Step-by-step explanation:
[tex] \frac{4}{5} - ( - \frac{1}{3}) \\ = \frac{4}{5} + \frac{1}{3} \\ = \frac{12 + 5}{15} \\ = \frac{17}{15} \\ = 1 \frac{2}{15} [/tex]
please help me solve for X
Answers
Answer:
-7
Step-by-step explanation:
x= 180-90-70-27
x= -7
list 21.3 ib 2064 g 16.7 kg 452 oz from least to greatst
Answers
Answer:
2064 g, 21.3 lb, 452 oz, 16.7 kg
Step-by-step explanation:
Let's change all units to grams to be able to compare the amounts.
21.3 lb * 454 g / lb = 9,670.2 g
2064 g = 2064 g
16.7 kg * 1000 g / kg = 16,700 g
452 oz * 1 lb / 16 oz * 454 g / lb = 12,825.5 g
From least to greatest:
2064 g, 21.3 lb, 452 oz, 16.7 kg