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)
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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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?
Answer:
6
Step-by-step explanation:
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.
Answer:
345
Step-by-step explanation:
3!
Which conversions go from a smaller unit to a larger unit? Select all that apply.
centimeters to millimeters
decimeters to meters
hectograms to kilograms
liters to centiliters
Answer:
decimeters to meters
Step-by-step explanation:
There are 10 decimeters in a meter.
Answer:
decimeters to meters
hectograms to kilograms
Step-by-step explanation:
What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?
The value of x can be
The value of y can be
Answer:
any real number except 5
any real number
Step-by-step explanation:
your welcome
The correct answer is:
⇒ Any real number for x except 5, and any real number for y.
What is mean by Function?A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value. This means that no x can be mapped to more than one y, so if we have the same number used twice for x, we do not have a function.
Now, For given function is,
This means that 5 cannot be used for x in the other ordered pair.
Since there is no restriction on y in order to be a function, y can be any real number.
Thus, The correct answer is:
⇒ Any real number for x except 5, and any real number for y.
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answer for these. this is not any kind of test.
Step-by-step explanation:
12) 42
13) 10.4
14)
a) 0.25
b) 0.39
15) 2.1
16) 35.7
17) 270£
Can anyone answer this its due in 5 minutes
Answer:
c. n//p
Step-by-step explanation:
Solve the equation for s.
13s + 5 = 14s + 13
Answer:
s = − 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
2x-2y= 14 standard to slope and intercept form
2x - 2y = 14
-2y = 14-2x
y= -7 + x
y = x - 7
−1.64 as a mixed number in simplest form.
A bag contains 120 marbles. Some are red the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?
Answer:
114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.
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?
$13.50
as 225*0.06 (6%) = 13.5
Help!!!!!!!!!!!!!!!!
Answer:
1-11
2-17
3-23
4-29
5-35
6-41
7-47
8-53
Step-by-step explanation:
They were only in stage one of the 1st day and stage 2 for day 2 and 3 and stage 3 for days 4 - 7 and after day 8 there was no cure
I will give you brainlist if you answer it.
Answer:
D or A not sure yet
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
vgghjbghfdfghhbbuuj
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
algebra :word problem
Answer:c
Step-by-step explanation:
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?
Answer:
China has 1,072,000,000 more people
Step-by-step explanation:
Rewrite in simplest terms: -(3c - 8) - 3c
Answer:
3c -8 -3f = Kc-
Step-by-step explanation:
Answer:
did da work :)
Step-by-step explanation:
Given f(x) = -x + 2, find f(6).
what is 96 divided by 4
Answer:
24
Step-by-step explanation:
Which of the figures is a concave polygon?
Answer:
B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
please help. I have 5 mins...
Find the value of x. *
66 (3x + 21) 57°
12
15
57
10
Answer:
15
Step-by-step explanation:
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°
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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3/8 divided by 2/5??
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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3. Find the value of x:
HELP NOW PLEASEEE
Answer:
1000
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST!
Answer:
-25
Step-by-step explanation:
(-6) (-5) - (-5)
-30 -(-5)=-25
80m15 + 72m12 − 32m10
Answer:
I dont know If this is what your looking for but Answer=1744m
simplify: -(7z-12b+4c)
Answer:
-7z+12b-4c or 12b-4c-7c
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
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
Evaluate the function, f(m) = 13 - 3m, when m is 4
f(4) =
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
Nine more than eleven times a number equals 97. Find the number.
The larger of two numbers is 6 less than five times the smaller. The number add up to 36. Find both numbers.
The length of a rectangle field is 7 feet less than three times it’s width. The perimeter is 146 feet. Find the length and width.
The first of three numbers is 6 less than the second. The third number is 9 more than the second. The sum of the numbers is 87. Find the numbers.
Step-by-step explanation:
34666(8684x:#68095732)