Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.
Answers
Related Questions
4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input 2 4 6 8
Output
(y)
1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 3x - 10. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)
(10 points)
Answers
Answer:
A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.
B: f(x)=1/2x
f(x)= 3x-10
f(8)=1/2(8) ----> 4
f(8)=3(8)-10 ----> 14
f(x)=3x-10 has a greater value when x=8
C: f(x)=1/2x
f(x) = 80
80=1/2x
80*2=x
x=160
Step-by-step explanation:
The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Part A :
The table has the data values,
x : 2 4 6 8
y : 1 2 3 4
The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).
Part B :
f(x) = 3x - 10
x = 2, then f(x) = y = -4
x = 4, then f(x) = y = 2
x = 6, then f(x) = y = 8
x = 8, then f(x) = y = 14
The relation f(x) = 3x - 10 has the greater value when x = 8.
Part C :
f(x) = 80
3x - 10 = 80
3x = 80 + 10
3x = 90
x = 90 / 3
x = 30
Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.
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how many times do 8 go into 18?
Answers
Answer: 2.25
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Answer:
2.5
Step-by-step explanation:
Which equation shows an example of the associative property of addition?
(4+1) + 4 = 4 + (i + 41)
(4 + 1) + 41 = 4j + (-41 + 1)
4 • (-41 + 1) = (41 – 41) + (41 - 1)
O (-41 + 1) + 0 = (-41 + 1)
Answers
Answer:
A i think
Step-by-step explanation:
Leora had some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she
have in her wallet before she bought the groceries?
Answers
Answer:
$62.17
Step-by-step explanation:
18.62 + 43.55 = 62.17
Answer:
$62.17
Step-by-step explanation:
we can find out how much she had before she bought groceries by adding the amount she spent to the amount she had left.
43.55 + 18.62 = 62.17
therefore, the answer is $62.17
(MC 02.03)
What set of reflections and rotations would carry rectangle ABCD onto itself?
Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1.
(4 points)
Group of answer choices
Rotate 180°, reflect over the x-axis, reflect over the line y=x
Reflect over the y-axis, reflect over the x-axis, rotate 180°
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line
Answers
Answer:1st option
Step-by-step explanation:
x/16- (x+2)/8=2 pls help, need answer soon.
Answers
Answer:
x = -36
Step-by-step explanation:
Step 1: Write equation
x/16 - (x + 2)/8 = 2
Step 2: Solve for x
Multiply both sides by 16: x - 2(x + 2) = 32Distribute -2: x - 2x - 4 = 32Combine like terms: -x - 4 = 32Add 4 to both sides: -x = 36Divide both sides by -1: x = -36Step 3: Check
Plug in x to verify it's a solution.
-36/16 - (-36 + 2)/8 = 2
-9/4 - -34/8 = 2
-9/4 + 17/4 = 2
8/4 = 2
2 = 2
−1.64 as a mixed number in simplest form.
Answers
-41\25
what is 96 divided by 4
Answers
Answer:
24
Step-by-step explanation:
Rewrite in simplest terms: -(3c - 8) - 3c
Answers
Answer:
3c -8 -3f = Kc-
Step-by-step explanation:
Answer:
did da work :)
Step-by-step explanation:
80m15 + 72m12 − 32m10
Answers
Answer:
I dont know If this is what your looking for but Answer=1744m
will give brainliest for correct answer
Answers
Answer:90
Step-by-step explanation:
3/8 divided by 2/5??
Answers
Answer:
15/16
Ste
Step-by-step explanation:
Keep, Change, Flip.
(1) Keep the first fraction, 3/8.
(2) Change the sign from a division sign to a multiplication sign.
(3) Flip the last fraction, 2/5 --> 5/2.
(4) Multiply across.
3/8 x 5/2= 15/16
The 3/8 divided by 2/5 is equal to 15/16.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
To divide 3/8 by 2/5:
(3/8) ÷ (2/5) = (3/8) × (5/2)
Now, let's multiply the numerators and denominators:
(3 × 5) / (8 × 2) = 15/16
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The mass of an adult North Pacific right whale is about 70,000 kg, or 7 x 104
kg.
The mass of a male African elephant is about 7000 kg, or 7 x 103 kg.
About how many times more massive is the right whale than the African
elephant?
O A. 1.1 times
O B. 63,000 times
O C. 1x 10-7 times
O D. 1x 101 times
Answers
Answer:
d
Step-by-step explanation:
your mother told me the answer last night
Which values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 onlyWhich values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 only
Answers
Answer:
Step-by-step explanation:
Given the inequality −14x+6≥14, we are to find the range of x that will make the inequality true.
Given −14x+6≥14
Subtract 6 from both sides.
−14x+6-6≥14-6
-14x≥8
-7x≥4
Multiply both sides by -1
-(-7)x≤-4
7x ≤ -4
x≤-4/7
This shows that the values of x is always less than or equal to -0.57
Hence the values less tan the value of x in the inequality are -36, -32 and -16
WILL GIVE BRAINLIEST If a triangle is acute, then all three angles have a measure of 60°. Provide a counterexample to show that the statement is false. A) The three angles could be 30°, 30°, and 30° B) The three angles could be 30°, 60°, and 90° C) The three angles could be 30°, 70°, and 80° D) The three angles could be 30°, 30°, and 120°
Answers
Answer:
Answer C
Step-by-step explanation:
This is because acute triangles have angles that are under 90 degrees and Option A would be true to what you are trying to make false and B & D are false because they have angles that go over 90 degrees.
The other statements that provide contradiction to the given expression are option (B) and (C).
What is a acute triangle?An elementary polygon having three sides and three vertices is a triangle. There are three internal angles since it has three sides. An acute angle is one that ranges in measurement from 0° to 90°. A form of triangle called an acute triangle has acute angles at each of its three internal angles.
In the option (A),
the three angles could be 30°, 30°, and 30°.
These angles contradict the basic property of triangle.
Which is sum of all the triangles are 180°.
In the option (B),
the three angles could be 30°, 60°, and 90°.
The above angles hold the property of an acute triangle.
In the option (C),
The three angles could be 30°, 70°, and 80°.
The above angles also hold the property of an acute triangle.
In the option (D),
The three angles could be 30°, 30°, and 120°.
Angle 120° greater than 90°.
This statement contradicts the basic property of an acute triangle.
Therefore, the other statements that provide contradiction to the given expression are option (B) and (C).
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the flag of the bahamas includes an equilateral triangle. the perimeter of the triangle is p=3s, where s is the side length. use your formula to find the dimensions of the flag in feet and the area in square feet when the perimeter of the triangle is 126 inches.
Answers
Answer:
345
Step-by-step explanation:
3!
pls help with geometry!! will mark brainliest
Answers
Answer:
x = 6°
y = 15°
Step-by-step explanation:
90 + 6y = 180 (linear pair, supplementary)
6y = 90 (180 - 90)
y = 15°
6y and 5x + 60 are corresponding angles. Corresponding angles are equal
Hence:
6y = 5x + 60
Sub y = 15° into equation
90 = 5x + 60
90 - 60 = 5x
5x = 30
x = 6°
China is known as the most populous country in the world with an estimated population of 1,400,000,000 while the United States of America has an estimated population of 328,000,000. To the nearest person, how many times greater is the population of China than the population of the United States of America?
Answers
Answer:
China has 1,072,000,000 more people
Step-by-step explanation:
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
Answer:
it cute
Step-by-step explanation:
are you a cute boy
Can anyone answer this its due in 5 minutes
Answers
Answer:
c. n//p
Step-by-step explanation:
Triangle ABC is located in the third quadrant of a coordinate plane. If triangle ABC is reflected across the −axis to obtain triangle, A’B’C’, which statement is true? A. Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC B. Triangle A’B’C’ lies in quadrant IV and is congruent to Triangle ABC C. Triangle A’B’C’ lies in quadrant II and is not congruent to Triangle ABC D. Triangle A’B’C’ lies in quadrant IV and is not congruent to Triangle ABC
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
It’s Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC
Step-by-step explanation:
I just took the test
Given f(x) = -x + 2, find f(6).
Answers
f(6) = -6+2
f(6) = -4
The Answer is -4
Marisa runs a 400 meter race in 80 seconds. What is Marishas average speed for the race?
Answers
Answer:
5 meters per second
Step-by-step explanation:
average speed = total distace / total time
400 meters / 80 seconds = 5 meters per second
very faint but the number in the root thing is 114 :) help please!!
Answers
dear I think the figure under the root is 144
14²- √144
(14 ×14) -12
the square root of 144 is 12
196 -12
184
Answer: "dookie dookie dookie"
*picture of the most trash game
Given h(x)=-x-4h(x)=−x−4, solve for xx when h(x)=9h(x)=9.
Answers
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
Given [tex]h(x)=-x-4[/tex], solve for x when [tex]h(x)=9h(x)=9[/tex].
First we need to figure out what number multiplied by 9 is equal to 9. This number is 1. [tex](1*9=9)[/tex]
Therefore, we know that h(x) should be equal to 1 in order for 9 times h(x) to equal 9.
Create an equation where h(x) = 1.
[tex]h(x)=1 \\ (-x-4)=1[/tex]Solve this equation by adding 4 to both sides of the equation.
[tex]-x=5[/tex]Divide both sides of the equation by -1 to isolate x.
[tex]x=-5[/tex]Check your answer by substituting -5 for x back into the equation to make sure h(x) = 1.
[tex]-(-5) - 4 = 1[/tex]If [tex]h(x)=1[/tex], then the statement [tex]9h(x) =9[/tex] is true, verifying our answer for x is correct.
Evaluate the function, f(m) = 13 - 3m, when m is 4
f(4) =
Answers
Answer:
f(4)= 13-3(4)
4f= 13-12
4f=1
Answer:
1
Step-by-step explanation:
f(4)=13-3m (where m=4)
f(4)= 13-3×4
f(4)= 14-12
hence f(4)= 1
HELP DESPERATE WILL GIVE BRAINLIST FOR CORRECT ANSWER
Answers
Answer:
Look at the picture I attached!
Step-by-step explanation:
!!
Lily says that 1,234.56 = 1 x 10+2 x 102 +3 x 10' + 4 x 10° + 5 x 10-' + 6 x 10-2.
Do you agree? Explain.
Your answer
Answers
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[tex]10 + 200 + 30 + 4 + 0.5 + 0.06 = 244.56 \\ [/tex]
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Thus I don't agree.
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A mini-fridge is priced at $225. There is a 6% sales
tax rate. What is the sales tax for the mini-fridge in
dollars and cents?
Answers
$13.50
as 225*0.06 (6%) = 13.5
The product of 7 and a number is greater than 42. If the
number is a whole number less than 10, what could the number
be?
Answers
Answer:
6
Step-by-step explanation: