Based on the analysis, the only relation that is a function is {(5, 0), (0, 5), (–5, –5)}.
How to determine Which relation is a function?A relation is considered a function if each input value (x-value) in the relation corresponds to exactly one output value (y-value).
1. {(5, 0), (0, –8), (5, –5)}
In this relation, the input value 5 corresponds to both 0 and -5. Therefore, this relation is not a function.
2. {(5, 0), (0, 5), (–5, –5)}
In this relation, each input value has a unique output value. For example, 5 corresponds to 0, 0 corresponds to 5, and -5 corresponds to -5. This relation satisfies the definition of a function since each input value has only one corresponding output value.
3. {5, 0, –8, –5}
This is not a relation since it consists only of individual numbers and does not show any pairings between input and output values. Therefore, it is not a function.
4. {(5, 0), (–8, –5), (–8, 5), (–5, –8)}
In this relation, the input value -8 corresponds to both -5 and 5. Therefore, this relation is not a function.
Based on the analysis, the only relation that is a function is {(5, 0), (0, 5), (–5, –5)}.
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Final answer:
The relation {(5, 0), (0, 5), (–5, –5)} is a function because each domain value maps to exactly one range value, which meets the definition of a function.
Explanation:
To determine which relation is a function, we must ensure that each input (or domain value) maps to exactly one output (or range value). A function cannot have one domain value paired with multiple range values.
Relation 1: {(5, 0), (0, –8), (5, –5)} is not a function because the domain value 5 is associated with two different range values (0 and –5).Relation 2: {(5, 0), (0, 5), (–5, –5)} is a function because each domain value is unique and maps to exactly one range value.Relation 3: {5, 0, –8, –5} is not a relation in the form of ordered pairs, so it cannot be considered a function.Relation 4: {(5, 0), (–8, –5), (–8, 5), (–5, –8)} is not a function because the domain value –8 has two different range values (–5 and 5).Therefore, the relation that is a function is the second one: {(5, 0), (0, 5), (–5, –5)}.
15 more than a number b
8(a+b) when a is 5 and b is 3
Substitute 5 and 3 for a and b in the original expression.
8(a+b)
8(5+3)
Using the rules of PEMDAS, solve the inside of the parentheses first, then multiply accordingly.
8(8)
The final answer is 64.
what is 0.386 0.3 0.683 0.836 from order to greatest to least
0.836, 0.683, 0.386, and then 0.3
Here's the order:
0.300 0.386 0.683 0.836
12 more than m machines
the equation would be m+12 because it stands for 12 more than m number of machines.
A shoe manufacture reported negative earnings of $453,000 for 2012. In 2013 the company reported earnings of $813,000, and in 2014 the company reported earnings of $384,000. How much more money did the company earn in 2014 than 2012? A) $360,000
B) $429,000
C) $744,000
D) $837,000
The answer is D for the quick answer
Which expression is 8y - 5x + 13y equivalent to after being simplified?
A. 21y - 5x
B. 16y
C. 5x + 21y
D. 8y + 8x
Combine the like terms (8y and 13y) in the given algebraic expression (8y - 5x + 13y), which equals 21y. Thus, after simplifying, the equivalent expression is 21y - 5x.
Explanation:The given expression is 8y - 5x + 13y. In order to simplify it, combine the like terms. The like terms here are 8y and 13y because they both include the variable 'y'. By adding 8y and 13y, we get 21y. Thus, the simplified version of the given expression is 21y - 5x. So, the correct answer is Option A: 21y - 5x.
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What is 27÷2356 with the work
27÷2356=
27 goes into 235 8 times which is 216
235-216 is 19
U bring down the 6 which makes 196
27 goes into 196 7 times which is 189
196-189=7
So the answer is 87 reminder 7
Antoine has a carnival booth at the school fair where students randomly select a ping pong ball from a can. He wants to place 5 red ping pong balls an n blue ping pong balls in the can. He also wants the probability of randomly choosing a blue ping pong ball to be 3/5.
Part A:
Write an equation that can be used to model this situation.
Part B:
Solve the equation and interpret the solution in terms of the context, determining if the solution is viable.
Answer:
(a)[tex]5n=3n+15[/tex]
(b)[tex]n=7.5[/tex]
Solution is not viable
Step-by-step explanation:
(a)
Total number of red ping pong balls[tex]=5[/tex]
Total number of red ping pong balls[tex]=n[/tex]
Now, probability of an event [tex]=\frac{Number of favourable events}{Total number of events}[/tex]
Then, theprobability of randomly choosing a blue ping pong ball is
[tex]=\frac{n}{n+5}[/tex]
Given that this probability is[tex]=\frac{3}{5}[/tex]
Thus, we have that,
[tex]\frac{n}{n+5}= \frac{3}{5}\\ 5n=3(n+5)\\5n=3n+15[/tex]
(b)
Solving, the above equation,
[tex]5n=3n+15\\2n=15\\n=7.5[/tex]
This solution is not viable as, number of ping pong ball must be an integer and not a decimal number.
of 350 male athletes at a high school, some play only basketball, some play on baseball, and some do both. If 250 of the males play basketball, and 120 play both sports, how many of the males play baseball
250 and 120 both adds up to 370 but 350 of the male play sports. So u answer can't be sloved
One hundred male athletes in the school play baseball only. This is determined by subtracting the number of males who play both sports and who play only basketball from the total number of male athletes.
Explanation:The question states there are 350 male athletes in total at the high school. We know that 250 males play basketball and that 120 males play both sports. To figure out the amount of males who play baseball, we first subtract the number of males who play basketball and both sports from the total number of male athletes.
Therefore, the calculation would be as follows:
First, subtract the number of students who play both sports (120) from the number of students who play basketball (250). This gives you the number of students who only play basketball. 250 - 120 = 130. Then subtract the number of students who only play basketball (130) and the number of students who play both sports (120) from the total number of male athletes (350) to get the number of students who only play baseball. 350 - 130 - 120 = 100.
So, there are 100 males that only play baseball according to the given information.
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What is the graph of the inequality
The inequality "x ≤ 5" means that the value of x is going to be less than or equal to the quantity 5.
Because of this, the correct answer on the graph would be a filled in dot (meaning starting at that quantity, rather than one less or one more than), and an arrow pointing to the left.
The value of x could be 5, 4, 3, and so on. Any quantity lower than, and including, 5 is a possible answer for the value of x.
The correct answer is the 2nd option.
Answer:
Graph represented by option B is the correct choice.
Step-by-step explanation:
We have been given an inequality [tex]x\leq 5[/tex]. We are asked to find the graph of the given inequality.
Our given inequality tells that solution is any value of x less than or equal to 5.
Since our given inequality has less than or equal to sign, then the number line will have a solid dot at [tex]x=5[/tex].
Since the values of x are less than or equal to 5, so the solution of the inequality will be numbers less than 5.
Since the numbers on the left side of a number line are less than number on right side, therefore, the graph represented by option B is the correct choice.
I need help please!!!!!!!
find the slope 3x+5y=29
Answer: [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
If you solve for y, then it will be in y = mx + b format where m is the slope.
3x + 5y = 29
-3x -3x
5y = -3x + 29
[tex]\frac{5y}{5} = \frac{-3x}{5} + \frac{29}{5}[/tex]
[tex]y = \frac{-3}{5}x + \frac{29}{5}[/tex]
m = [tex]-\frac{3}{5}[/tex]
To find the slope of the line for the equation 3x+5y=29, rewrite it in slope-intercept form y=mx+b. After isolating y, you'll find that the slope m is -3/5.
Explanation:To find the slope of the line represented by the equation 3x + 5y = 29, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we solve for y:
Subtract 3x from both sides to get 5y = -3x + 29.Divide every term by 5 to isolate y on one side, resulting in y = -3/5x + 29/5.Now, the equation is in slope-intercept form, and we can easily identify the slope as -3/5. This means there is a decrease of 3 on the vertical axis for every increase of 5 on the horizontal axis. Thus, the slope of the line is -3/5.
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2) .
Use the polygon tool to graph the dilated figure.
Answer:
The points of the dilated figure would be at (-2, 10), (2, 6), and (-8, 4); an image of the figure is attached.
Step-by-step explanation:
First we translate the center of dilation and figure so the origin becomes the center of dilation.
Since the point (2, 2) is our center of dilation, we must translate it left 2 and down 2 to make the origin the center; this means we map every point
(x, y)→(x-2, y-2)
The scale factor of 2 means that each point will be multiplied by 2; this gives us the rule
(x, y)→(2x-4, 2y-4)
Lastly we will translate the figure right 2 and up 2 to move it back to its original position; this gives us the rule
(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)
The first point in the original figure, at the top, is (0, 6). Applying the transformation gives us
(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)
The point on the right of the pre-image is (2, 4). Applying the transformation rule gives us
(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)
The point on the left of the pre-image is at (-3, 3). Applying the transformation rule, we have
(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)
Answer:
Here is the correct answer
Step-by-step explanation:
I hope this helps!
Commission earned is 6% at a show store; original cost of shoes: $125
125 x .06 = 7.5
6% of $125 is $7.50
Which statement best completes the sentence below? If the measure of /_4 is 70^o, then the measure of /_8 is _________________. A 110^o because /_4 and /_8 are supplementary angles. B 70^o because /_4 and /_8 are alternate exterior angles. C 110^o because /_4 and /_8 are corresponding angles. D 70^o because /_4 and /_8 are corresponding angles.
Answer:
As given, measure of angle 4 is 70°
Then what would be the measure of ∠8.
Following cases comes into consideration
1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then
∠4 + ∠8=180°
⇒70°+∠8=180° [∠4=70°]
⇒∠8=180°-70°
⇒∠8=110°
2nd possibility
But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then
⇒ ∠4 + ∠8=180°
⇒70°+∠8=180° [∠4=70°]
⇒∠8=180°-70°
⇒∠8=110°
3rd possibility
If ∠4 and ∠8 are alternate exterior angles.
then, ∠4 = ∠8=70°
4th possibility
If If ∠4 and ∠8 are corresponding angles.
then, ∠4 = ∠8=70°
Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.
Given:2PQ=PR prove: Q is the midpoint of PR
Answer:
Using definition of midpoint, Q is the mid point of PR.
Step-by-step explanation:
Given 2PQ=PR
And Q lies on the line PR (It should be given in the problem itself else we have to assume it to prove "Q is the midpoint of PR").
Then PR=PQ+QR using segment addition postulate.
Let us plugin PR in given equation.
2PQ=PQ+QR
Subtract PQ from both sides.
2PQ-PQ=PQ+QR-PQ
PQ=QR
Since Q lies on the line PR and PQ=QR, Q is the mid point of PR.
Hence proved.
In geometry, if 2PQ=PR, point Q is the midpoint of PR. This is because the given condition implies that the length of segment PQ is half of the length of the whole segment PR, meaning Q divides PR into two segments of equal lengths.
Explanation:In Geometry, the statement 2PQ=PR is the given condition. Prior to your question, we are assuming that PQ and QR are line segments. This would imply that P, Q, and R all lie on the same line, with P and R being the endpoints and Q somewhere between them.
Now, the provided condition (2PQ=PR) means that the length of segment PQ is half of the length of the whole segment PR. If we assume segment PQ is 'a' units long, then 2PQ would be '2a' units long. According to the equation, PR is also '2a' units long.
By definition, the midpoint of a line segment is the point that divides the segment into two segments of equal length. Since PQ is half of PR, point Q would divide PR into two equal segments, PQ and QR, both being 'a' units in length. Therefore, Q is the midpoint of PR.
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Amos has 12 action,15 comedy,and 9 drama DVDs .Find the ratios of action DVDs to the number of DVDs
Answer:
derp
Step-by-step explanation:
derp lol
can someone plz answer this . its due tomorrow
Circumference of Earth = Pi* Diameter= 3.1415926536X7926Miles=24,900.3Miles
Nancy wrote the greatest number that can be made using each of these digits exactly once
Plz help me I will show you guys the pic for you guys can help me.....
Answer:
the highest number Nancy made was 985,431
Step-by-step explanation:
if you put Nancy greatest numbers in order from greatest to least it would come out to 9 8 5 4 3 1
Three girls made necklaces using beads. Jamie used 5 times as many beads as Carmen did. Allison used 8 more than 3 times as many beads as Carmen did. The total number of beads used by the three girls was 143. Which equation can be solved to find the number of beads (n) that Carmen used to make her necklace?
Solve for number nine !! Please help me !!!!
Basically you subtract the amount of people who rode in cars so and divide the number you get by the number of buses.
404-5=399
399/7=57 kids on each bus
what is 3ft to 4yd as a ratio as a fraction in simplest form
i think it is 1:4 or as a fration it is 1/4
Is the equations true, false, open or none of the above?
10x + 5 = 8x + 2
10x + 5 = 8x + 2
Subtract 5 from both sides.
10x = 8x - 3
Subtract 8x from both sides.
2x = -3
Subtract both sides by 2.
x = -1.5
Because we are able to get a value for x, we know that the equation is true, as we can plug the value of x back into the original equation to verify.
10(-1.5) + 5 = 8(-1.5) + 2
-15 + 5 = -12 + 2
-10 = -10 √ this equation is true.
For the equation 10x + 5 = 8x + 2, the statement is true.
The given equation is 10x + 5 = 8x + 2.
The first thing to do is to subtract 5 from both sides.
10x + 5 - 5 = 8x + 2 - 5
10x = 8x - 3
Then, we'll subtract 8x and this will be:
10x - 8x = -3
2x = -3
Divide both side by 2
2x/2 = -3/2
x = -1.5
10x + 5 = 8x + 2,
10(-1.5) + 5 = 8(-1.5) + 2
-15 + 5 = -12 + 2
10 = 10
Therefore, the statement is true
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write an equation for twelve times h equals one hundred and twenty minus thirty-six
we will always start order of operation from left to right
Left most is :
twelve times h
so, [tex]12 \times h[/tex]
Right side is :
one hundred and twenty minus thirty-six
[tex]120-36[/tex]
now, we can set them equal
we get
[tex]12 \times h=120-36[/tex]
so, the equation is
[tex]12 \times h=120-36[/tex]................Answer
$40.50 that two friends earned mowing a lawn. They want to share the money equally.
Hello AskMeBosh...again
Since we know that there are 2 friends, and 40.50 is going to be split
We would do 40.50 divided by 2
40.50/2
= 20.25
:)
Here's the question: You have an electrical circuit with various components, all of which are in series. The current (I) through the system is (5.772 - 5.323i) milliamperes (mA). The impedance (Z) in that same system is (3.342 + 4.176i) kilohms (kΩ). Please tell me the magnitude of the voltage in the circuit.
Answer:Magnitude of voltage is 41.9963 volts
Step-by-step explanation:
Given that current I =5.772-5.323i mA
and impedance, Z=3.342+4.176i kilo ohms
Then voltage in the circuit = IZ
[tex]=(5.772-5.323i)X10^{-3}X(3.342+4.176i)X10^{3}[/tex]
[tex]V=(5.772-5.323i)X(3.342+4.176i)[/tex]
[tex]V=19.290024+24.103872i-17.789466i-23..5148848i^{2}[/tex]
[tex]V=41.518892+6.314406i[/tex]
Magnitude of V = [tex]\sqrt{41.518892^{2} +6.314406^{2} }=\sqrt{1763.6901}=41.9963volts[/tex]
What is the approximate value of 200,000 x 200
it would be 40000000 because there there are 7 zeroes and then you and then you multiply the two twos together and then put it in the front.
Answer:
the approximate value of 200,000 x 200 is 40,000,000
Step-by-step explanation:
the approximate value of 200,000 x 200
To find the approximate value we multiply 200,000 times 200
WE have two zeros in 200. so when we multiply we add two zeros
now we multiply the numbers
2 times 2 gives us 4
[tex]200,000 \ times \ 200= 40,000,000[/tex]
So the approximate value of 200,000 x 200 is 40,000,000
The sum of the prime numbers less than 8 and is equal to 17 what is the sum of the prime numbers
Prime numbers mean that their factors are only the number itself and 1.
2, 3, 5, 7, 11, etc. all fall under this category.
note however, that the numbers have to be less than 8: [2, 3, 5, 7] are your choices
2 + 3 = 5
5 + 5 = 10
10 + 7 = 17
Therefore, {2, 3, 5, 7} are your answers
hope this helps
Answer:
2,3,4,5,7
Step-by-step explanation:
alex is going to share a bag of 24 jelly beans with his friend austin . alex gives some of the jelly beans to austin but , when they do a count , alex has three times as many jelly beans as austin . how many jelly beans do they each have ?
Can u tell me what math book this was from ?
Step-by-step explanation:
Triangle ABC has these side measurements: AB = 17 BC = 18 AC = 21 Order the angles of the triangle from largest measure to smallest measure.
Answer:
B, A, C
Step-by-step explanation:
B has the largest angle of 73.677, A has the second largest of 55.345, and C has the smallest angle of 50.977
The order of the angles of the triangle from largest measure to smallest measure. will be ∠B, ∠A, and ∠C.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
Angle obtained from the triangle are;
∠B=73.6°
∠A= 55.345°
∠C =50.977°
As a result, the arrangement of the triangle's angles is from biggest to smallest measure. ∠B, ∠A, and ∠C will be the results.
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