To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.
Let's analyze each option:
A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)
In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.
B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)
Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.
C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)
Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.
D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)
In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.
To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.
Option C is correct answer
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LIVE
Carlos is saving money to buy a set of golf clubs that cost $530. He already has $80.00 saved and can earn the rest of the money by mowing 15
lawns. If m represents how much he earns for mowing each lawn, which of the following equations can be solved to find how much Carlos is paid for
mowing each lawn?
Answer:
15m+80 would be the correct equation
Answer:
15*m=(530-80)
Step-by-step explanation:
30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.
Here's how we model that as an expression:
15m=(530-80)
15 lawns for m dollars would get him 530-80 (450) or the remaining amount.
Hope this helps!
Write the decimal -0.43 as a fraction in simplest form
Answer:
-0.43/100
Step-by-step explanation:
then divide those two numbers by a number that they both can be divided by/the GCF
Which tables could be used to verify that the functions they represent are inverses of each other? Select two
options.
Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.
The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.
The tables that could be used to verify inverse functions are tables C and D
What are inverse functions?The inverse of a function are the opposites of the function
From the list of options, we can see that:
The x values of table C are the y values of table D
Also, the x values of table D are the y values of table C
This means that tables C and D are inverse functions
Hence, the tables that could be used to verify inverse functions are tables C and D
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A pharmaceutical company interviews 12 people for eight openings in the research department of the company. 7 of the 12 people are women. If all 12 are qualified, in how many ways can the employer fill the 8 positions if
(a) the selection is random
Answer:
7
Step-by-step explanation:
What is the value of x?
Answer:
x =127
Step-by-step explanation:
Since this is a 6 sided figure, the sum of the interior angles is 720
128+133+112+x+120+100 = 720
Combine like terms
x+593=720
Subtract 593 from each side
x+593-593 = 720-593
x =127
Hint :
Sum of angles of the 6 sided figure = [tex] {720}^{o} [/tex]
Answer:
[tex] {x}^{o} = {127}^{o} [/tex]
Step-by-step explanation:
[tex] {x}^{o} + {112}^{o} + {133}^{o} + {128}^{o} + {100}^{o} + {120}^{o} = {720}^{o} \\ {x}^{o} + {593}^{o} = {720}^{o} \\ {x}^{o} = {720}^{o} - {593}^{o} \\ {x}^{o} = { 127}^{o} [/tex]
Hope it is helpful....the diameter of a circle is 12 centimeters. What is the circumference?
Answer:
the circumference is 37.7 cm
Answer:
circumference = 37.7
Step-by-step explanation:
in the photo I explained the formula of how to find the circumference
-5(x+7)<-10 write an inequality for x
Answer:
x > -5
Step-by-step explanation:
[tex]-5(x+7)<-10\\x+7>2\\x>-5[/tex]
Answer:
x > -5
Step-by-step explanation:
-5 (x+7) < -10
The next step is to divide both sides by -5 and flip the sign
(x+7) > [(-10/(-5)]
x+7 > 2
Finally, subtract both sides by 7
x > 2-7
x > -5
First answer gets brainliest
Answer:
Step-by-step explanation:
First blank is 4
second blank is 2/4
third blank is 4
fourth blank is 9
Answer:
first blank : increase
second blank : +2
third blank : -1
fourth blank : 4
fifth blank : 5
Step-by-step explanation:
0
Homework Progress
107 / 285
A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.
Submit Answer
Answer:
It's C
Step-by-step explanation: I took the test and got it wrong
The third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].
What is a sequence?The sequence exists in a particular order in which connected things follow each other.
The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2
Second term b will be [tex]$-2*6+13=1$[/tex]
The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]
So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]
If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]
If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]
So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.
Therefore, the third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] exists reversed will be [tex]$\frac{a-13}{6}$[/tex].
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18. Find the length of the segment indicated. Round your answer to the
nearest tenth if necessary
hi I am sorry I wish I could help
Answer:
x ≈ 6.2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 17.1² = 18.2²
x² + 292.41 = 331.24 ( subtract 292.41 from both sides )
x² = 38.83 ( take the square root of both sides )
x = [tex]\sqrt{38.83}[/tex] ≈ 6.2 ( to the nearest tenth )
Complete the missing parts of the
table for the following function.
y = ()*
X-2 -1
0 1 2 3
y 36 [?] 1 1
1
216
Answer:
Remember the property:
a^-1 = (1/a)^1
and:
(a/b)^n = (a^n)/(b^n)
A table for a function like:
[tex]\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right][/tex]
Is just completed as:
[tex]\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right][/tex]
So, here we have:
y = f(x) = (1/6)^x
To complete the table, we need to find:
f(-1)
and
f(2)
So let's find these two values:
f(-1) = (1/6)^-1 = (6/1)^1 = 6
and the other value is:
f(2) = (1/6)^2 = 1/36
Then the complete table is:
[tex]\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right][/tex]
find the square of the number 5/6
Answer:
25
----
36
Step-by-step explanation:
Square both the numerator and the denominator of this fraction, 5/6:
25
----
36
The sqaure will be like this;
= 5/6 × 5/6
= 25/36
EASY!!
In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?
Answer:
82 degrees is the answer
Step-by-step explanation:
angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus
angle 7 = 180 - 98 = 82 deg
The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.
What is the sum of angle on a straight line?The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.
∠6 = 98 degrees
Therefore,
∠6 + ∠7 = 180°(angles on a straight line)
∠6 = 98 degrees
Hence,
98 + ∠7 = 180
subtract 98 from both sides
98 - 98 + ∠7 = 180 - 98
∠7 = 82 degrees.
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help finding the area
Answer:
1,100 is your area
Step-by-step explanation:
First we cut the shape into three, two triangles and a square, the formula to find the area of a square is A=a^2 (a is the side)
A=25^2
A=625
now to find the triangles the formula to find the are we use the right angled triangle formula twice which is A=a*b/2
A=25*19/2
A=475/2
A=237.5
now add them all up
625+237.5+237.5=
1,100
The lines represented by the equations y = 5x + 7 and 25y - 5x = 125 are
Answer:
The lines are parallel because they have the same slope(5x)
x^2 - 81y^2
can someone please answer this ?
Answer:
Since both terms are perfect squares, factor using the difference of squares formula.
(x+9y)(x−9y)
Answer:
Step-by-step explanation:
x^2-81y^2
=(x)^2-(9y)^2
=(x-9y)(x+9y)
Glen is building a roof for a garage with the dimensions shown below. What is the surface area of the roof, in square feet? Round your answer to the nearest hundredth. Show all the steps you took to solve the problem.
Answer:
2806.72
Step-by-step explanation:
use the phythagrome theorm
Determine the value of x in the diagram below when lines a and b are parallel.
at
(2x - 5)
b
(x + 20°
25°
15°
0 000
75°
55°
Answer:
25°
Step-by-step explanation:
2x - 5° = x + 20°
2x - x = 20° + 5°
x = 25°
A box that has a width of 3 inches and a length of 4 inches is used to ship a
part. The part lies along the diagonal of the bottom of the box. What is the
longest possible length of the part?
3 in
4 in
A. 2 in
O
B. 7 in
O C. 1 in
D. 5 in
Answer:D.5
Step-by-step explanation:
answer?? please help
Answer
where is the ?
Step-by-step explanation:
solve for b (exact values) i got 2 sqrt 3 / 3 = b but i’m not sure if it’s right :(
Answer:
tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885
Find the measure of each interior angle and each exterior angle of the indicated regular polygon. 25-gon
Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.
Find h.
12 cm
h = V[?] ch
cm
6 cm
Answer:
[tex]{ \boxed{ \tt{height = \sqrt{ {(hypotenuse)}^{2} - {(adjacent)}^{2} } }}} \\ h = \sqrt{ {(12)}^{2} - {( \frac{6}{2} )}^{2} } \\ h = \sqrt{135} \: cm \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]
The height of the cone is 11.6 centimeters.
What is a cone?'A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the vertex, to all the points of a circular base. The distance from the vertex of the cone to the base is the height of the cone. The circular base has the measured value of radius. And the length of the cone from the vertex to any point on the circumference of the base is the slant height.'
According to the given problem.
Given,
Diameter = 6 cm
Radius = 6/2 cm
= 3 cm
Slant height (l) = [tex]\sqrt{r^{2} + h^{2} }[/tex]
⇒ l² = r² + h²
⇒ l² - r² = h²
⇒ 12² - 3² = h²
⇒ 144 - 9 = h²
⇒ h² = 135
⇒ h = √135
⇒ h = 11.6 cm
Hence, the height of the cone is 11.6 centimeters.
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Select the correct answer from each drop-down menu.
The number 5 is
BIS
May than -1; because - lies
on a vertical number line.
Reset
Next
less
greater
Answer:
The number -7/5 is greater than -1 1/5Answer:so -7-5 is graeter than - 1 /1/5 and it above 1/1/5
Step-by-step explanation:
please help me solve
Answer:
Step-by-step explanation:
take angle A as reference amgle
using cos rule
cos A=adjacent/hypotenuse
0.9659=c/25
0.9659*25=c
24.1475=c
Kendal is doing her science homework. For each problem, she uses 3/4 of a sheet of paper. How many sheets of paper will she need to complete 12 problems? * 1 ຄະແນນ A. 6 sheets B. 7 1/2 sheets C. 9 sheets D. 10 1/2 sheets
Answer:
C)
Step-by-step explanation:
3/4 · 12 = 9
John saved $33. which was 30% of
the money he eamed. How much did
he earn in total?
Answer:
money earned = 110
Step-by-step explanation:
Money earned * percent saved = money saved
money earned * 30% = 33
Change to decimal form
money earned * .30 = 33
Divide each side by .3
money earned = 33/.3
money earned = 110
solve for b: -5-b < 3
Answer:
b < -2
Step-by-step explanation:
-5 - b < 3
-5 - b + -5 < 3 + -5
b < -2
which word best replaces shakes in rapid motion to be more precise
Answer:
flutter, flap, beat, agitate, vibrate; tremble could be one of these
Step-by-step explanation:
Answer: vibrate, tremble
Step-by-step explanation:
the problitiy is that a sweet stawberry flavor is 0.8 what is the problity is that a sweet is orang flavor what is anwer
Answer:
0.2 or less
Step-by-step explanation:
since there is no explanation whether the rest of the sweets are orange or not, the probabilty of it is 1-0.8=0.2 or less
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.
____________________
P (strawberry flavored sweet) = 0.8
P (orange flavored sweet) = ?
____________________
Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.
____________________
So,
P (orange flavored sweet) = 1 - P (strawberry flavored sweet)
P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]
P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]
____________________
✐ The probability that the sweet is orange flavored is 0.2
____________________
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