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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slope-intercept from two points (4,-8) and (8,5)
Here you go :)
Slope is equal to the change in y over the change in x or rise over run:
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope:
m=5−(−8)/8−(4)
Simplify:
m=13/4
Substitute the value of m into the slope-intercept form of the equation, y = m x + b :
y=(13/4)x+b
Substitute the value of x into the slope-intercept form of the equation, y = m x + b .
y = ( 13/ 4 ) ⋅ ( 4 ) + b
Substitute the value of y into the slope-intercept form of the equation, y = m x + b .
− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b
Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .
( 13/ 4 ) ⋅ ( 4 ) + b = − 8
Cancel the common factor.
13/ 4 ⋅ 4 + b = − 8
Rewrite the expression.
13 + b = − 8
Move all terms not containing b to the right side of the equation.
b = − 21
The values of the slope and y-intercept are m = 13 4 and b = − 21 .
m = 13 4
b = − 21
________
Answered by James
how many times do 8 go into 18?
Answer: 2.25
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Answer:
2.5
Step-by-step explanation:
Given h(x)=-x-4h(x)=−x−4, solve for xx when h(x)=9h(x)=9.
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.
Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?
Answer:
hannah gets £56
Step-by-step explanation:
z : h
3 : 7
24 : ?
24/3 = 8
8 x 7 = 56
£56
hope this helps
brainliest plz?
x
Rewrite in simplest terms: -(3c - 8) - 3c
Answer:
3c -8 -3f = Kc-
Step-by-step explanation:
Answer:
did da work :)
Step-by-step explanation:
Geometry ppl i need help please
It’s 13 - 17
It’s unit 2
lesson 2.6 Properties & algebraic proofs
13. You are correct. You multiply the outer 5 with each term inside, and add.
-----------
14. The number 0 goes in the first blank and 8 goes in the second blank. So we have 8+0 = 8. The identity property of addition says that adding 0 to any number leads to the same result. In terms of algebra, x+0 = x.
-----------
15. The fraction 1/8 goes in the first blank and 1 goes in the second blank. We have the equation 8(1/8) = 1. Multiplying any nonnegative number x with its reciprocal 1/x leads to 1.
----------
16. The number 1 goes in the first blank and -4 goes in the next blank. This property is similar to the property mentioned in problem 14. This time we're working with the multiplicative version. We have the equation -4*(1) = -4
----------
17. The letter a goes in the first blank and x+3 goes in the second blank. So the last equation is a = x+3. The transitive property is the idea of us chaining equations together. It's like saying "if A goes to B, and B goes to C, then A goes to C". Think of it like taking a shortcut bypassing B entirely.
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:
pls help with geometry!! will mark brainliest
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?
Answer:
China has 1,072,000,000 more people
Step-by-step explanation:
will give brainliest for correct answer
Answer:90
Step-by-step explanation:
HELP DESPERATE WILL GIVE BRAINLIST FOR CORRECT ANSWER
Answer:
Look at the picture I attached!
Step-by-step explanation:
!!
if a cat is a dragon and water is hard and the dark is light then why did I almost break my ankle?
Answer:
You dreamt
Step-by-step explanation:
After you dreamt you fell with a thump and broke your ankle (I'm sorry I'm not actually sure-)
Answer:
Uranus Gravitational pull
Step-by-step explanation:
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
Answer:
d
Step-by-step explanation:
your mother told me the answer last night
very faint but the number in the root thing is 114 :) help please!!
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
x/16- (x+2)/8=2 pls help, need answer soon.
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
Any help on this please ?
Answer:
(0,-5), I believe.
Step-by-step explanation:
Answer:
It would be -5
Step-by-step explanation:
You have to plug in 0 into the function so it would look like
g(0)= (2/5 )(0) -5
g(0)= 0 -5
g(0)= -5
If tan m = One-half and tan n = –6, what is the exact value of tan(m + n)?
Negative StartFraction 11 Over 2 EndFraction
Negative StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 4 EndFraction
Answer:
B. -11/8
Step-by-step explanation:
Given:
tan m = ½
tan n = -6
Required:
Exact value of tan(m + n)
Solution:
Find m and n:
[tex] tan (m) = \frac{1}{2} [/tex]
[tex] tan (m) = 0.5 [/tex]
[tex] m = tan^{-1}(0.5) [/tex]
m = 26° (approximated)
[tex] tan (n) = -6 [/tex]
[tex] n = tan^{-1}(-6) [/tex]
n = -80° = 280° (i.e. 360 - 80)
Exact value of tan(m + n) = tan(26 + 280)
tan(306)
tan(307) = -1.37638192 ≈ -11/8
Answer:
B) -11/8
Step-by-step explanation:
its correct on edge
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?
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
If AM = MB, then AM + 5 = MB + 5.
which property
Answer:
Addition Property of Equality
Step-by-step explanation:
If A = B, then A + C = B + C
The statement is illustrating the Addition Property of Equality.
In the statement, A is AM, B is MB, and C is 5. Hope this helps!
The property of the required statement is addition Property of Equality.
It is required to find the property of the required statement.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
Addition Property of Equality:
In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
If A = B, then A + C = B + C
∴c=c
Therefore, the property of the required statement is addition Property of Equality.
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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
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
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)
Answer:
A i think
Step-by-step explanation:
Can anyone answer this its due in 5 minutes
Answer:
c. n//p
Step-by-step explanation:
(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
Answer:1st option
Step-by-step explanation:
Marisa runs a 400 meter race in 80 seconds. What is Marishas average speed for the race?
Answer:
5 meters per second
Step-by-step explanation:
average speed = total distace / total time
400 meters / 80 seconds = 5 meters per second
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!
work out the probability that halima at least walks one way
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
it cute
Step-by-step explanation:
are you a cute boy
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
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[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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What is f(-5) for the function f(x) = -9x - 3?
Can you help
Answer:
42
Step-by-step explanation:
Step 1:
F ( x ) = - 9x - 3 Function
Step 2:
f ( x ) = - 9 ( - 5 ) - 3 Input x
Step 3:
f ( x ) = 45 - 3 Multiply
Answer:
f ( x ) = 42 Subtract
Hope This Helps :)