Answer:
The answer is D.
Step-by-step explanation:
The relation is indeed a function because of the reason as described by choice D.
A function is relation that maps a set of elements known as inputs to another set of elements known as the outputs, such that each input element is mapped to exactly one output element
The relationship between the given values is a function and, the correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range
The reasons the selected option are correct is as follows:
The given ordered pair are presented in a tabular form as follows:
[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right][/tex]
In a function, each value in the domain corresponds with one element in the range. Therefore, if two elements in the domain corresponds to one element in the range, the relationship is not a function
Therefore;
[tex]\begin{array}{|c|cc|}\mathbf{ x}&&\mathbf{y}\\1&&1\\1&&2\\1&&3\\1&&4\\1&&5\end{array}\right] \ Is \ not \ a \ function[/tex]
[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right] \ Is \ a \ function[/tex]
In the table above, each element in the domain appear only once, and therefore, each element in the domain correspond or gives only one value in the range, while the element 3 in the range corresponds to 1, and 2 in the domain. However, the range are the output values of the function, and therefore, the data satisfies the relationship of a function
The correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range
Learn more about functions here:
https://brainly.com/question/6052900
If Jodi eats 2 chocolates she will consume 72 calories how many calories will she consume if she eats 5 chocolates
Answer:
x = 180
Step-by-step explanation:
We can use ratios to solve
2 chocolates 5 chocolates
--------------------- = ------------------
72 calories x calories
Using cross products
2 *x = 5*72
2x = 360
Divide each side by 2
2x/2 = 360/2
x = 180
Set up a ratio 2/72 = 5/x.
Now use cross-products.
(2)(x) = (5)(72).
2x = 360.
Now divide both sides by 2.
This gives us x = 180.
So, Jodi consumes 180 chocolates when she eats 5 chocolates.
dentify the property used in this equation: 3 + [7 + (–4)] = (3 + 7) + (– 4) Evaluate the expression above.
Answer:
associative property with respect to addition and subtraction
3+[7+(-4)]=(3+7)+(-4)
3+[7-4]=10+(-4)
3+3=10-4
6=6
Step-by-step explanation:
i hope it will help you
please help with this slope question fast
Answer:
B. x-intercept = 2, y-intercept = 4
Step-by-step explanation:
→The y-intercept can be found on the vertical line, while the x-intercept can be found on the horizontal line.
→Looking at the graph, you can see that the line intersects at a point on the vertical line (y-intercept), and this number is 4.
→Looking at the graph, you can see that the line intersects at a point on the horizontal line (x-intercept), and this number is 2.
I need help with the last one
An Actor invest some money at 6% and $41000 more than twice the amount at 9% the total annual interest earned from the investment is $32490 how much did he invest at each amount use the 6 step method
Answer: he invested $120000 at 6% and $281000 at 9%
Step-by-step explanation:
Let x represent the amount invested at 6%
Let y represent the amount invested at 9%
The Actor invest some money at 6% and $41000 more than twice the amount at 9%. This means that
y = 2x + 41000- - - - - - - - - 1
The interest gotten from x is
6/100 × x = 0.06x
The interest gotten from y is
9/100 × y = 0.09y
The total annual interest earned from the investment is $32490. It means that
0.06x + 0.09y = 32490- - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
0.06x + 0.09(2x + 41000) = 32490
0.06x + 0.18x + 3690 = 32490
0.06x + 0.18x = 32490 - 3690
0.24x = 28800
x = 28800/0.24
x = 120000
Substituting x = 120000 into equation 1, it becomes
y = 2(120000) + 41000
y = 281000
Select values to multiply each equation by to form opposite terms for the x-variable. One-third x + one-sixth y = 2 One-half x + three-fourths y = negative 3
Answer:
First equation: 1/2
Second equation: -1/3
Step-by-step explanation:
We get the following equations:
[tex]\frac{1}{3}x+\frac{1}{6}y=2[/tex] first equation
[tex]\frac{1}{2}x+\frac{3}{4}y=-3[/tex] 2nd equation
Then, to obtain opposite terms for the x variable, we need to identify the coefficient of the x for the 1st equation and the 2nd equation as:
The coefficient for x in the 1st equation is [tex]\frac{1}{3}[/tex] and the coefficient for x in the 2nd equation is [tex]\frac{1}{2}[/tex]
Finally, we need to multiply 1st equation with the coefficient of the 2nd equation and multiply the 2nd equation with the negative of the coefficient of the 1st equation.
We multiply by the negative of the coefficient of the 1st equation because we need to find opposite terms for x.
So, the first equation is equal to:
[tex](\frac{1}{3}x+\frac{1}{6}y)*\frac{1}{2} =2*\frac{1}{2} \\\frac{1}{6}x+\frac{1}{12}y=1[/tex]
The second equation is:
[tex](\frac{1}{2}x+\frac{3}{4}y)*\frac{-1}{3} =-3*\frac{-1}{3} \\\frac{-1}{6}x+\frac{-1}{4}y=1[/tex]
Now, the coefficients for x, 1/6 and -1/6, are opposite terms.
Answer:3, -2
Step-by-step explanation:
John wants to send a letter to Peter, who lives on Tesla
Street. John doesn't remember the house number.
However, he knows that it has 4 digits, it is a multiple of 5
and 7 and that the last digit is 0. What is the minimum number
of letters that John has to send to be sure that Peter receives his letter?
Answer:
The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters
Step-by-step explanation:
The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows
Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5
We have the four digit numbers from 1000 to 9999
Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940
Which gives 142 - 15 = 127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0
Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.
The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters
Applying the given information;
size of house number = Four digits which is a multiple of 5 and 7
House number ends with 0
given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10
The Four digit house number will fall between : 1000 to 9999
Determine the total numbers that are divisible by 7 and 10( 1000 / 70 ) = [tex](14 + 2/7) - 2/7)*70 + 70 = 1050[/tex]
( 9999 / 70 ) = [tex]( 142 + 59/70)- 59/70)*70= 9940[/tex]
∴ The minimum number of letters of a four digit number that is a multiple of 5 and 7 and whose last digit = 0 will be
142 - ( 14 + 1 ) = 127 letters
Learn more : https://brainly.com/question/9215444
Find the sum of the interior angles of a polygon that has 9 sides?
Answer: (9 - 2) ⋅ 180 ° = 7 ⋅ 180 ° = 126 0 °
Step-by-step explanation:
12.6+b=15.7 what’s the length of the base?
Answer:
3.1
Step-by-step explanation:
15.7 - 12.6 = 3.1
Pls mark me brainliest !!
Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!!
Answer:
-(x+7)/6
Step-by-step explanation:
y = -6x-7
Exchange x and y
x= - 6y-7
Solve for y
Add 7 to each side
x+7 = -6y-7+7
x+7 = -6y
Divide by -6
(x+7) / -6 = -6y/-6
(x+7)/ -6 = y
The inverse is -(x+7)/6
car is moving at 75 kilometers per hour what is its speed in metres per minutes?
Answer:
75 km / h = 1250 m / m;
Solution ⇒ 1250 meters / minute
Step-by-step explanation:
Take a look at the explanation below;
[tex]75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\[/tex]
Conclusion; 1250 meters / minute
What is the distance between (8, -3) and (4, -7)?
The answer is √32 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What is the equation for the blue line?
Answer:
f(x) = -1/2x + 2
Step-by-step explanation:
f(x) = ax + b
x = 0 , y = 2
y = 0 , x = 4
[tex]a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}[/tex]
[tex]0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2[/tex]
f(x) = -1/2x + 2
Find the mean of the data in the dot plot below.
fish
h
Fish Emma caught each day
of her fishing trip
+
0
1
1
2
3
4
5
6
Number of fish
Answer:
The answer would be, 2.75
Step-by-step explanation:
Add all the numbers up:
0+1+1+2+3+4+5+6=22
Divide the answer by the amount of numbers:
22÷8=2.75
Answer:
The mean of the following dot plot:
Mean: 3
Step-by-step explanation:
0 x 1 = 0
3 x 1 = 3
6 x 1 = 6
(we only add the numbers that only has a dot on the number in the dot plot)
So:
Mean: 0 + 3 + 6 = 9/3 = 3
If you put $6.24 into a savings account that earns 5%, how much interest will you receive at the end of four years
Answer:
$1.24
Step-by-step explanation:
5% of 6.24 x 4 .If you're rounding then it's $1.25 (but also who's letting someone open an account with 6 dollars)
(edit:forgot the explaination)
Whats the number in the box?
Answer:
It is 3.
Step-by-step explanation:
By looking at the sentences, you can translate the sentences to equations.
The sum of two numbers is 90, so this involves addition because the sum is the answer of an addition problem. x+y=90.
x is the larger number
y is the smaller number
The larger number is 14 more than or addition sign 3 times or multiplying the smaller number (y).
The equation would be x=14+3y because it is 3 times the smaller number.
Hope this helps!
What's the answer?I need help!
Answer:
(-1,1)
Step-by-step explanation:
The solution to the system of equations is where the two lines cross
They cross at x=-1 y=1
(-1,1)
Answer:
The answer is (-1,1)
Step-by-step explanation:
First of all, you can see where the two lines intersect.
Also, if there was no graph, then you could solve by substitution:
1. Substitute y from y = 2x + 3 to -x
2. Then simplify
-x = 2x + 3
subtract 2x from each side
-3x = 3
divide -3 from each side
x = -1
3. To solve for the value of y, you can plug -1 for x and solve.
y = -(-1)
y = 1
Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x − 15?
Answer:
subtract 2x on both sides
Step-by-step explanation:
Answer:
x= -3
Step-by-step explanation:
Move The Terms:
8x -2x =3 = -15
Collect like terms and calculate:
6x = -15-3
Divide both sides of the equation by 6:
x = -3
Final answer:
x= -3
Hope this helped have a good day
Dina distributed 120 marbles to three of her friends. Raghu received one-fourth of the marbles. Freya received one - third of the REMAINING marbles. Bineet got half of the REMAINING marbles. Who got the MOST number of marbles?
**DUE IN 20 MINS, PLZZZ HELP**
5 dices are thrown simultaneously. What is the probability of getting two sixes?
+Thank you!
A triangular flag has a height of 16 inches and a base of 24 inches. Which formula represents how to find the area of the triangle?
Answer:
A=(1/2)(b)(h)
Step-by-step explanation:
The area of a triangle is 1/2(b)(h), so in this case, A=(1/2)(24)(16)=192
1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon? 2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas? 3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?
Answer:
1. $3.85 per gallon
2. $1.59
3. 7/12
Step-by-step explanation:
1. Jayden spent $46.20 on 12 gallons of gasoline. The price per gallon can be gotten by dividing the total price paid by the total number of gallons bought:
46.20 / 12 = $3.85 per gallon
The price per gallon is $3.85
2. Jayla buys 1.2 pounds of bananas and they cost $1.29 per pound. The total amount paid for the bananas is:
1.2 * 1.29 = $1.59
3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. The total fraction of the pizza ate is:
1/4 + 1/3 = 7/12
They ate 7/12 of the pizza
2(x + 4) + 2x + 3 = 3x + 16
what does x eqaul
Answer:
x=5
Step-by-step explanation:
2(x+4)+2x+3=3x+16
One solution was found :
x = 5
Answer:
2x+8+2x+3=3x+16=
2x+2x-3x=-8-3+16=
4x-3x=-11+16=
x=5
click the image please...
Answer:
[tex]9^{-7}, 9^{-2}[/tex]
Step-by-step explanation:
[tex]\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}[/tex]
When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).
[tex](9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}[/tex]
Please help me with this question please help
Step-by-step explanation:
Basically plug in all X values given on the table into the graph to get the y values. Now you have a coordinate that you can plot on the graph given.
What is the average rate of change between:
x= 1 and x = 2?
x = 2 and x = 3?
x = 3 and x = 4?
Answer: See bolded below
Step-by-step explanation:
Average rate of change is the slope. To find that, we would need the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Reminder: The scale fo the graph goes by 2. You need to make sure you are looking at the right coordinates.
1. The coordinate points are (1, 2) and (2, 4).
[tex]m=\frac{4-2}{2-1}=\frac{2}{1} =2[/tex]
The average rate of change is 2.
2. The coordinate points are (2, 4) and (3, 8).
[tex]m=\frac{8-4}{3-2} =\frac{4}{1} =4[/tex]
The average rate of change is 4.
3. The coordinates are (3, 8) and (4, 16).
[tex]m=\frac{16-8}{4-3} =\frac{8}{1} =8[/tex]
The average rate of change is 8.
given the graph function below which of the following ordered pairs are found on the inverse function
Answer:
Option A.
Step-by-step explanation:
Graph of function has been given in the figure.
Coordinates of the points lying on this graph will be
x -2 -1 0 1 2
y -10 -3 -2 -1 6
Therefore, coordinates of the points which will lie on the inverse of this function will be
x -10 -3 -2 -1 6
y -2 -1 0 1 2
Therefore, Option A. will be the answer.
15% of 20 is what number?
Answer:
Brainliest plzStep-by-step explanation:
20 x 15%
is equal too...
20 x 0.15
and that is equal to
...
3
Find the sum of (-4 + 1) and (10-51).
Answer:
-44
Step-by-step explanation:
(-4+1)+(10-51)
-4+1+10-51
-3-41
-44
h(t) = -t + 3; Find h(-5)
Answer:
8
Step-by-step explanation:
h(t) = -t + 3;
h(-5)
Let t = -5
h(-5) = - -5 +3
= 5+3
= 8
Answer:
8
Step-by-step explanation:
h(t) = -t + 3
Put t as -5 in the function.
h(-5) = -(-5) + 3
The negative signs cancel.
h(-5) = 5 + 3
Add both the terms.
h(-5) = 8
