(1, 3), (2, 5), (3, 7) (4, 9) and (1, 3), (2, 3), (3, 3) (4, 3) are the relations that represent a function.
A relation is a function if it has only One y-value for each x-value.
The given Relation is (1, 3), (2, 5), (2, 7) (4, 9)
The relation is not a function as 2 is repeated.
The given Relation is (1, 3), (2, 5), (3, 7) (4, 9)
The relation is a function as no number is repeated.
The given Relation is (1, 3), (1, 5), (1, 7) (4, 9)
The relation is not a function as 1 repeated.
The given Relation is (1, 3), (2, 3), (3, 3) (4, 3)
The relation is a function as no number is repeated.
The given Relation is (1, 2), (2, 5), (2, 1) (4, 5)
The relation is not a function as 2 repeated
Hence, (1, 3), (2, 5), (3, 7) (4, 9) and (1, 3), (2, 3), (3, 3) (4, 3) are the relations that represent a function.
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k=1/3 and k=3/2 which line would be steeper
Answer:
k = 3/2
Step-by-step explanation:
assuming k is your slope
rise/run = y/x
k = 1/3 therefore, (3,1) is your (x,y) points
k=3/2 therefore, (2,3) is your (x,y) points
as you can see, you move 2 more units up on the y-axis with k =3/2. Therefore, it is steeper.
The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the percent increase of their living space?
Answer:
162.1%
Step-by-step explanation:
Given that:
Size of previous living space = 1450 sq ft
Size of new living space = 3800 sq ft
% increase in living space ;
Increase in living space = 3800 - 1450 = 2350 sq feet
(Increase / previous size) * 100%
(2350 / 1450) * 100%
1.6206 * 100%
= 162.06%
= 162.1%
The fourth graders are going on a field trip to the Zoo. There are 83 students in the fourth grade. If tickets cost $26 each, how much will the field trip cost?
Answer:
Total trip cost = $2,158
Step-by-step explanation:
Given:
Cost of each ticket = $26
Number of student = 83
Find:
Total trip cost
Computation:
Total trip cost = Cost of each ticket x Number of student
Total trip cost = $26 x 83
Total trip cost = $2,158
Whats the answer for number 3?
Answer:
B. There are no discounts or charges per month.
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Your car has 10 gallons of gas. You use 1 gallon every 20 miles you travel. Fill in the table.
Answer:
(0, 0), (20, 1), (40, 2), (60, 3), (80, 4)
Step-by-step explanation:
Find the slope that passes through (-1, -3) and (-2, 2).
A
-5
С
-2
B
-1/5
D
1/3
Answer:
A.-5
Step-by-step explanation:
I have used an online calculator to check my answer against so this answer is 100% correct. I used "Slope Calculator" by Omni.
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Is there anything needed for this question? I'm not willing to take "free points"
Carly has some rope to mark off a rectangular area of grass for a field day game. The rectangle needs to be 6 feet wide. Which expression represents how much rope Carly needs if the rectangle is g feet long?
Answer:
B ) 2 g + 12
Step-by-step explanation:
A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar ??
Answer:
Amount earned = $151,113
Step-by-step explanation:
Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;
We proceed as follows; we have the following;
1. Annual salary of $75,000
2. 2.35% on approved loans.
Approved loans = 2.8 million
Commission = 2.35/100 * 2.8 million = $65,800
3. $3.75 for each processed loan application
Total = 2750
Amount = 3.75 * 2750 = $10,312.50
Total amount earned is thus;
$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar
3x^2−18x+12=0 by completing the square
Answer:
mark me brailist if it helped
what is 0.3 + 0.27 is it 30?
Answer:
0.3+0.27=0.57
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
0.3-0.27=0.57
hope this helps :3
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Which expressions are equivalent to the given complex number? 45 + 2i A. (2 + 8i) + 2(9 + 6i)(1 - i) B. (9 + 4i) + 2(4 + 7i)(1 - 2i) C. (13 + 4i) + 2(7 + 2i)(2 - i) D. (2 + 8i) + (30 - 6i) E. (9 + 4i) + (36 - 2i) F. (13 + 4i) + (32 - 6i)
The expressions which are equivalent to the complex number 45 + 2i is E. (9 + 4i) + (36 - 2i)
D. (2 + 8i) + (30 - 6i)
To determine which expressions are equivalent to the complex number 45 + 2i, we can simplify each expression and check if it matches the given number.
Let's evaluate each option:
A. (2 + 8i) + 2(9 + 6i)(1 - i) = 2 + 8i + 2(9 + 6i - 9i - 6i^2) = 2 + 8i + 2(9 + 6i - 9i + 6) = 2 + 8i + 2(15 - 3i) = 2 + 8i + 30 - 6i = 32 + 2i
B. (9 + 4i) + 2(4 + 7i)(1 - 2i) = 9 + 4i + 2(4 + 7i - 8i - 14i^2) = 9 + 4i + 2(4 + 7i - 8i + 14) = 9 + 4i + 2(23 - i) = 9 + 4i + 46 - 2i = 55 + 2i
C. (13 + 4i) + 2(7 + 2i)(2 - i) = 13 + 4i + 2(7 + 2i - 14i - 4i^2) = 13 + 4i + 2(7 + 2i - 14i + 4) = 13 + 4i + 2(24 - 12i) = 13 + 4i + 48 - 24i = 61 - 20i
D. (2 + 8i) + (30 - 6i) = 2 + 8i + 30 - 6i = 32 + 2i
E. (9 + 4i) + (36 - 2i) = 9 + 4i + 36 - 2i = 45 + 2i
F. (13 + 4i) + (32 - 6i) = 13 + 4i + 32 - 6i = 45 - 2i
From the evaluations above, we can see that options E and D are equivalent to the given complex number 45 + 2i.
The correct options are:
E. (9 + 4i) + (36 - 2i)
D. (2 + 8i) + (30 - 6i)
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The expressions that are equivalent to the given complex number 45 + 2i are: (9 + 4i) + (36 - 2i) and (2 + 8i) + (30 - 6i).
Thus, option (D) and (E) are correct.
Given complex number 45 + 2i.
A. (2 + 8i) + 2(9 + 6i)(1 - i)
Simplifying: (2 + 8i) + 2(9 + 6i - 9i - 6)
= (2 + 8i) + 2(3 + 3i)
= 2 + 8i + 6 + 6i
= 8 + 14i
B. (9 + 4i) + 2(4 + 7i)(1 - 2i)
Simplifying: (9 + 4i) + 2(4 + 7i - 8i - 14)
= (9 + 4i) + 2(-10 - i)
= 9 + 4i - 20 - 2i
= -11 + 2i
C. (13 + 4i) + 2(7 + 2i)(2 - i)
Simplifying: (13 + 4i) + 2(14 + 4i - 7i - 2)
= (13 + 4i) + 2(12 - 3i)
= 13 + 4i + 24 - 6i
= 37 - 2i
D. (2 + 8i) + (30 - 6i)
Simplifying: 2 + 8i + 30 - 6i
= 32 + 2i
E. (9 + 4i) + (36 - 2i)
Simplifying: 9 + 4i + 36 - 2i
= 45 + 2i
F. (13 + 4i) + (32 - 6i)
Simplifying: 13 + 4i + 32 - 6i
= 45 - 2i
Thus, option (D) and (E) are correct.
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eeeeeeeeeeeeeeeeeeeeeeeeeva fast answer
Answer:
51
Step-by-step explanation:
find the percent for each (34 and 33) subtract from their whole (220 and 170) then subtract from each other
Find the slope of the line.
y = 3/4x + 207
The subject of the formula below is y
y=4x+3
Rearrange the formula to make x the subject
Answer:
x = (y - 3)/4.
Step-by-step explanation:
y = 4x + 3
y - 3 = 4x
x = (y - 3)/4.
Step-by-step explanation:
y=4x+3
all divide by 3
4x=y/3
cross multiple
12x=y
divide both sides by 12
therefore, x is equal to y/12
Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?
Answer:
The distance from vertex B to the midpoint of AC is 3 units
Step-by-step explanation:
we are given a triangle with vertices A (1,-3), B (3,0) and C (5,-3).
Mid point of of AC (x,y) = ( 1+5/2 , -3 -3/2)
= ( 6/2 , -6/2)
= (3 , -3)
Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
= [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]
= [tex]\sqrt{(3)^2}[/tex]
= 3 units
so ive been trying to figure this out but i cant!
Answer:
This is a linear graph.
Step-by-step explanation:
Since the x values increase at a constant of 1. The y-values have a 1st difference of -4 which means the graph is linear.
What is ⅓ divided by ¼? Use the model if needed. Answer should be in simplest form. Explain your answer
Answer:
The answer to the expression in simplest form is:
[tex]\frac{\frac{1}{3}}{\frac{1}{4}}=\frac{4}{3}[/tex]
Step-by-step explanation:
Given the function
[tex]\frac{\frac{1}{3}}{\frac{1}{4}}[/tex]
solving to get the simplest form
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]\frac{\frac{1}{3}}{\frac{1}{4}}=\frac{1\cdot \:4}{3\cdot \:1}[/tex]
[tex]\mathrm{Apply\:rule}\:a\cdot 1=a[/tex]
[tex]=\frac{4}{3}[/tex]
Thus, the answer to the expression in simplest form is:
[tex]\frac{\frac{1}{3}}{\frac{1}{4}}=\frac{4}{3}[/tex]
from the diagram, identify a pair of corresponding angles
i need helppp!
Answer:
2 and 6, 1 and 5
Step-by-step explanation:
Answer:
1&5
Step-by-step explanation:
A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips.Each bag of costs 2.95.
Which inequality represents the number of bags of chips,x, the teacher can purchase?
An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].
Let the number of bags of chips be x.Given the following data:
Total amount spent = $36Cost of each bag of chips = $2.95To write an inequality that represents the number of bags of chips, x, the teacher can purchase:
In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.
Translating the word problem into an algebraic expression, we have;
[tex]2.95x \leq 36[/tex]
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You are riding your scooter to a town that is 120 miles away and you can maintain a speed of 30 mph. How long will it take you?
Answer:
4 hours
Step-by-step explanation:
120 ÷ 30 = 4
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Solve for y, Angle Q and Angle S
Answer:
hope
Step-by-step explanation:
Whats the answer to number 9?
Answer:
B and D
Step-by-step explanation:
Because only those two equations on the graphs are straight. and are increasing or decreasing in a constant pace.
help me!!! its geometry.. plz help and thank you!!
Answer:
1. m<1 + <2 = m<4; given
2. m<3 + m<4 = 180; linear pair postulate
3. m<1 +m<2 + m<3 = 180; substitution property
1. <1 is congruent to <4; given
2. <1 is congruent to <2, <3 is congruent to <4; vertical angle congruency theorem
3. <2 has to be congruent to <3; transitive property
Step-by-step explanation:
Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?
2 - 0
6 - 2
2 - 4
6 - 4
Answer:
6-4
Step-by-step explanation:
You got the 6 from the (2, 6) and you got the 4 from the (0, 4). The numerator is always (I think) the second number.
Hope this helps!!
Which is NOT true?
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3
Answer:
c
Step-by-step explanation:
16-4=12
7+6=11
The false statement is;
C. 16 - 4 = 7 + 6
Given that;
The mathematical expression is;
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3
We have to state the false statement.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The mathematical expression is;
A. 16 + 3 = 11 + 8
Left hand side,
16 + 3 = 19
Right hand side,
11 + 8 = 9
Left hand side = Right hand side
Hence, This is true.
B. 16 = 16
Left hand side = Right hand side
Hence, This is true.
C. 16 - 4 = 7 + 6
Left hand side;
16 - 4 = 12
Right hand side,
7 + 6 = 13
Hence, This is false.
D. 16 = 19 - 3
Left hand side;
16
Right hand side,
19 - 3 = 16
Left hand side = Right hand side
Hence, This is true.
Therefore, The false statement is;
C. 16 - 4 = 7 + 6
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Joshua ran 1.45 miles, and Jasmine ran 1.5 miles who Ran Farther?
Answer:
Jasmine
Step-by-step explanation:
Will mark brainliest to answer with explanation
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40
Answer:
4 + 3p ≥ 40
Step-by-step explanation:
4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.
A) What are the coordinates of the image of vertex G after a reflection across the line y = x?
B) What is the rule when reflecting across the line y = x
Answer:
b. (-5, 4)
Step-by-step explanation:
edge2020
what is the number if 50% of 25% of the number is 96
Let n = the number we need to find.
0.50(0.25)n = 96
0.125n = 96
Can you finish?
The number if 50% of 25% of the number is 96 is 768
Let the unknown number be x
50% of 25% of the number is expressed as 0.5(0.25)x
0.5(0.25)x = 0.125x
Equating the result to 96 will give;
0.125x = 96
Divide both sides by 0.125
0.125x/0.125 = 96/0.125
x = 96/0.125
x = 768
Hence the number if 50% of 25% of the number is 96 is 768
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