Option A and D will not get to the required point
Step-by-step explanation:
Step 1 :
a)
Start at origin, go 112 units up and then go 4 unit to the right.
Starting at the origin, 112 units up gives y = 112
then 4 spaces to the right gives x = 4
So the point obtained is (4,112)
Hence option A will not get to the required point
Step 2 :
b)
Starting at the origin, go 4 spaces up and then 112 spaces to the right.
Starting at the origin , 4 spaces up gives y = 4
112 spaces to the right gives x = 112
So we get the point as (112,4)
Option B goes to the required point
Step 3:
c)
Starting at the origin, go 112 spaces to the right and then 4 spaces up.
Starting at the origin, 112 spaces to the right gives x = 112
4 spaces up gives y = 4
We get to the point (112,4)
Hence option C gets to the required point
Step 4:
d)
Doing the procedure in option D gives y = 4, and x as between 1 and 2
Hence this will not get to the required point
Step 5 :
Option A and D will not get to the required point
Answer:
a)Starting at the origin, go 1 1/2 up units up and then 4 spaces to the right
Step-by-step explanation:
no
A dolphin is observed to leap 10 feet above the water and dive to a depth of 50 feet below the water's surface. What vertical distance is travelled from the highest point to the lowest point
Answer: 60 feet
Step-by-step explanation:
50+10=60
A town has a population of 20000 and grows at 2.5% every year. To the nearest year, how long will it be until the population will reach 24700?
Answer:
9 years
Step-by-step explanation:
Its right
Using the exponential growth formula, it will take approximately 8 years for a population of 20,000 growing at 2.5% per year to reach 24,700.
Explanation:To determine how long it will take for a town with a population of 20,000 to grow to 24,700 with an annual growth rate of 2.5%, we can use the formula for exponential growth: P = P0ert, where P is the future population, P0 is the initial population, r is the growth rate, and t is time in years.
First, we convert the growth rate to a decimal, so 2.5% becomes 0.025. Our equation will look like this: 24,700 = 20,000e(0.025t). Taking the natural logarithm of both sides gives us ln(24,700/20,000) = 0.025t.
We can use a calculator to find that ln(24,700/20,000) ≈ 0.2112, and so 0.2112 = 0.025t. Dividing both sides by 0.025 gives us t ≈ 8.448. We round this to the nearest whole number to find that it will take approximately 8 years for the population to reach 24,700.
For the geometric series
2+6+ 18 +54 + 162
what is the value
The given series is a geometric series. The sum of this series can be calculated using the formula for the sum of a geometric series, Sn = a(Rn-1)/(R-1). By substituting the given values into the formula, the sum of the series is found to be 242.
Explanation:The series given is a geometric series. A geometric series is a series of numbers where each term after the first is found by multiplying the previous term by a constant.
The series is 2+6+18+54+162, where each successive term is 3 times the previous term. Hence, the common ratio (R) is 3.
The sum of the first 'n' terms (Sn) of a geometric series can be found using the formula: Sn = a(Rn-1)/(R-1), where a is the first term, R is the common ratio and n is the number of terms.
Here, 'a' = 2 and 'R' = 3. The total number of terms (n) is 5 in this case. Substituting these values into the formula gives: S5=2(35-1)/(3-1)= 2*(243-1)/2= 242
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20. There were 16 teams at a gymnastics
meet. Each team had 12 members. How
many gymnasts participated in the meet?
Answer:
192 gymnasts
Step-by-step explanation:
16*12=192
Answer:
12 x 16 = 192 gymnasts
The 6-foot man casts a shadow that is 10 feet
long. If the pyramid casts a 48 feet long
shadow, how tall is the pyramid?
Answer:
80 feetStep-by-step explanation:
6:10 ratio
6x8=48 10x8=80
Explain how you would distribute 4 ones into 5 groups.
Answer:
To distribute 4 ones into 5 groups, you have a few options. Here are three possible ways to distribute the 4 ones evenly among the 5 groups:
Option 1:
- Give each group 1 one: 1 1 1 1 0
Option 2:
- Give three groups 1 one, and leave two groups with 0 ones: 1 1 1 0 0
Option 3:
- Give one group 2 ones, and the other four groups 1 one each: 2 1 1 1 1
These are just a few examples, and there may be other ways to distribute the 4 ones into 5 groups. The important thing is to ensure that each group receives the same number of ones, if possible, or as close to equal as possible.
add at the park there's a pool shaped like a circle with a diameter 22 yards. A ring shaped path goes around the pool. it's width is 5 yards.
Answer:
424 yards²
Step-by-step explanation:
Diameter 22, radius 11
Outer circle: radius = 11+5 = 16
Area of the path:
Pi× (16²-11²)
= 135pi yards²
Or, 424 yards² (3 sf)
Answer:
135pi
Step-by-step explanation:
(I'm guessing you want to know the ring's area)
Diameter = 22 yards, meaning Radius = 11 yards
[tex](11+5)^{2}\pi[/tex] = 256pi = Outer Ring + Pool
[tex](11)^{2}\pi[/tex] = 121pi = Pool
Outer Ring = 256pi - 121pi = 135pi
HELP 12 pts!
thank you in advanced
ΔABC is similar to ΔMNO. Solve for the value of the missing side.
a. x = 0.384 cm
b. x = 0.48 cm
c. x = 2.4 cm
d. x = 3.75 cm
a parabolic dome is 2002 feet in diameter with a maximum height of 50 feet. Find the equation of the cross-sectional parabola of the dome
Answer:
Step-by-step explanation:
"The equation of the cross-sectional parabola of the dome is [tex]\( y = -\frac{1}{800}x^2 + 50 \).[/tex]
To find the equation of the cross-sectional parabola of the dome, we can use the standard form of a parabola, which is[tex]\( y = ax^2 + bx + c \).[/tex]Since the parabola is symmetric and the vertex is at the origin (0,50), the equation simplifies to [tex]\( y = ax^2 + c \),[/tex]where determines the width of the parabola and \is the maximum height of the dome.
Given that the maximum height of the dome is 50 feet, we have[tex]\( c = 50 \)[/tex]. The diameter of the dome is 2002 feet, so the radius is half of that, which is 1001 feet. The radius corresponds to the x-coordinate at the base of the dome where the height \ is 0.
Using the point (1001, 0) and the vertex (0, 50), we can set up the equation [tex]\( 0 = a(1001)^2 + 50 \).[/tex] Solving for [tex]\( a \)[/tex]gives us:
[tex]\[ 0 = a(1001)^2 + 50 \] \[ -50 = a(1001)^2 \] \[ a = -\frac{50}{(1001)^2} \] \[ a = -\frac{50}{1002001} \] \[ a \approx -\frac{1}{20040} \][/tex]
For simplicity, we can round [tex]\( a \) to \( -\frac{1}{2000} \)[/tex]or even more simply to [tex]\( -\frac{1}{800} \)[/tex] to make the calculations easier without significantly changing the shape of the parabola for practical purposes.
Thus, the equation of the cross-sectional parabola of the dome is:
[tex]\[ y = -\frac{1}{800}x^2 + 50 \]"[/tex]
A New York City gift shop sells miniature Statue of Liberty sculptures that are 7.8 in. tall. The scale of the model to the actual statue is 1:232. What is the height of the actual statue to the nearest foot?
About 151. That seems pretty close. If it is incorrect, sorry.
Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is StartFraction 2 d minus 6 Over 2 d minus 4 EndFraction. The width is StartFraction 4 Over d minus 4 EndFraction. The length is StartFraction d minus 2 Over 3 d minus 9 EndFraction.
We know that the volume of a prism is defined by:
[tex]V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}[/tex]
Substituting values:
[tex]V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}[/tex]
[tex]Finally: \\ \\ \boxed{V=\frac{4}{3\left(d-4\right)}}[/tex]
The volume of the given prism in simplified form is [tex]V = \frac{4}{3(d - 4)}[/tex].
To find the volume of the prism, we use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Given the dimensions of the prism:
l = \frac{d - 2}{3d - 9}
[tex]l = \frac{d - 2}{3d - 9}\\\\w = \frac{4}{d - 4}\\\\h = \frac{2d - 6}{2d - 4}[/tex]
We substitute these into the formula:
[tex]V = \left(\frac{d - 2}{3d - 9}\right) \left(\frac{4}{d - 4}\right) \left(\frac{2d - 6}{2d - 4}\right)[/tex]
Now we simplify this expression step-by-step:
Simplify the height term:
[tex]\frac{2d - 6}{2d - 4} = \frac{2(d - 3)}{2(d - 2)} = \frac{d - 3}{d - 2}[/tex]
Substitute the simplified height term:
[tex]V = \left(\frac{d - 2}{3(d - 3)}\right) \left(\frac{4}{d - 4}\right) \left(\frac{d - 3}{d - 2}\right)[/tex]
Combine and cancel common terms:
[tex]V = \frac{4}{3(d - 4)}[/tex]
This gives us the volume of the prism in its simplest form.
Complete question:
Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown.
The height is (2 d - 6) / (2 d - 4).
The width is 4 / (d - 4 ).
The length is StartFraction (d - 2) / (3 d - 9 ).
the simple interest on a certain sum of money for two years at 6% per annum is Rs 900. what will be the compound interest on that sum at the same rate and for the same period?
Answer:
Rs 927.
Step-by-step explanation:
For simple interest we have:
I = PRT/100 where I = interest, P = amount invested, R = the rate and T = the time.
900 = P*6* 2 / 100
P = 900*100/ 12
P = Rs 7500
The formula for the amount after t years when investing P amount at a rate of r% is:
A = P(1 + r/100)^t
A = 7500(1 + 6/100)^2
= Rs 8427.
So the compound interest is 8427 - 7500
= Rs 927.
Dan, Angad & David share some money in the ratio 1 : 1 : 3.
In total, Dan and David receive £52.
How much does Angad get?
Solution:
Given that,
Dan, Angad & David share some money in the ratio 1 : 1 : 3
Let the share of Dan be 1x
Let the share of Angad be 1x
Let the share of David be 3x
In total, Dan and David receive £52
Therefore,
1x + 3x = 52
4x = 52
x = 13
Therefore,
share of angad = 1x = 13
Thus share of Angad is £ 13
write these as a product
a) (2b–5)^2–36
b) 9–(7+3a)^2
c) (4–11m)^2–1
thanks in advance :)
Answer
a)
[tex]{(2b - 5)}^{2} - 36 =( 2b - 11)(2b + 1)[/tex]
b)
[tex]9 - {(7 + 3a)}^{2} = (3a - 4)(3a + 11)[/tex]
c)
[tex]( {4 - 11m)}^{2} - 1 =( 3 - 11m )( 5 - 11m )[/tex]
Explanation
a) The given expresion is
[tex] {(2b - 5)}^{2} - 36[/tex]
We rewrite as difference of two squares
[tex]{(2b - 5)}^{2} - 36 = {(2b - 5)}^{2} - {6}^{2} [/tex]
Recall that:
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
This implies that:
[tex]{(2b - 5)}^{2} - 36 =( {(2b - 5)} -6)(2b - 5 )+ 6)[/tex]
Or
[tex]{(2b - 5)}^{2} - 36 =( 2b - 5-6)(2b - 5 + 6)[/tex]
This simplifies to give:
[tex]{(2b - 5)}^{2} - 36 =( 2b - 11)(2b + 1)[/tex]
b) The second expression is
[tex]9 - {(7 + 3a)}^{2} [/tex]
We rewrite as perfect squares yo get:
[tex]9 - {(7 + 3a)}^{2} = {3}^{2} - {(7 + 3a)}^{2} [/tex]
This gives:
[tex]9 - {(7 + 3a)}^{2} = ({3} - {(7 + 3a)})({3} + {(7 + 3a)})[/tex]
This implies that
[tex]9 - {(7 + 3a)}^{2} = ({3} - 7 + 3a)({3} + 7 + 3a)[/tex]
We simplify to get:
[tex]9 - {(7 + 3a)}^{2} = (3a - 4)(3a + 11)[/tex]
c) The third expression is:
[tex]( {4 - 11m)}^{2} - 1[/tex]
We obtain the difference of two squares as:
[tex]( {4 - 11m)}^{2} - 1 =( ( {4 - 11m)} - 1 )( ( {4 - 11m)} + 1 )[/tex]
We simplify within the parenthesis to get:
[tex]( {4 - 11m)}^{2} - 1 =( 4 - 11m - 1 )( 4 - 11m+ 1 )[/tex]
We simplify further to get;
[tex]( {4 - 11m)}^{2} - 1 =( 3 - 11m )( 5 - 11m )[/tex]
Suppose you are a carpenter and need to buy the best deal available on framing nails for your next construction job. What is the savings per nail between the best deal and worse deal? NAIL PRICES Box of 75 for $6.50 Box of 200 for $15.50 Box of 500 for $36.00 Box of 1000 for $78.00 A) 2¢ B) 3¢ C) 4¢ D) 5¢
Answer:C
Step-by-step explanation:
The best deal can be calculated by dividing the cost of the nail by the total amount of nails present in the pack.
A = $6.50/75 = $0.076
B = $15.50/200 = $0.0775
C = $36.00/500 = $0.072
D = $72.00/1000 = $0.078
From the above, the best deal is C (500 nails for $36.00) and the worst deal is D (1000 nails for $72.00).
Answer:
It´s A not C
Step-by-step explanation:
Hara asked 5 more Friends to choose their favorite flavor. 3 friends chose berry and 2 friends chose lime. Do more friends like berry or vanilla now? Explain
Answer:
Step-by-step explanation:they are even
More friends like berry than vanilla now because 3 friends chose berry and there is no mention of any friends choosing vanilla.
To determine whether more friends like berry or vanilla now, let's break down the information provided. Hara asked 5 friends, out of whom 3 chose berry and 2 chose lime. The key here is to note that there is no mention of any friends choosing vanilla. Therefore, based on the new information:
Number of friends who chose berry: 3Number of friends who chose lime: 2Number of friends who chose vanilla: 0Since 3 friends chose berry, and no friends chose vanilla, more friends like berry than vanilla now. This comparison clearly shows that berry is the favorite among the provided options.
HELPPPPP PLEASEEEEEE
I need some help with this please I will give u heart....
Answer:
11/12
Step-by-step explanation:
Simple addition.
1/4 + 2/3
=
3/12 + 8/12 =
11/12
Answer:
11/12
Step-by-step explanation:
All you have to do is simply add 1/4 and 2/3 leaving you with
3/12 + 8/12 then add them to get the answer 11/12
Hopefully this helps.
Btw Can i get my heart?
What is the ordered pair solution to the system y= -4x and y=2x+12 ??
The solution to the system of equations y = -4x and y = 2x + 12 is found by setting the two equations equal to each other, solving for x, and then finding y. The ordered pair solution is (-2, 8).
Explanation:To find the ordered pair solution to the system of equations y = -4x and y = 2x + 12, we need to set the two equations equal to each other since they both describe y in terms of x. This gives us:
-4x = 2x + 12
Now, we will solve for x by combining like terms:
-4x - 2x = 12
-6x = 12
To get x by itself, divide both sides by -6:
x = -2
Next, we substitute x = -2 back into one of the original equations to find y. For example:
y = 2(-2) + 12
y = -4 + 12
y = 8
Therefore, the solution to the system of equations is the ordered pair (-2, 8).
Suvita spent 25% of her pocket money on her clothes ,11% on her shoes and saved Rs. 1600 . What is her pocket money?
Answer:
Rs. 4,444
Step-by-step explanation:
Let her pocket money be represented as A
She spent 25% of A on her clothes and 11% on shoes and then saved Rs. 1600
Total percentage spent = 25 + 11 = 36%
So, she spent 36% of A and was left with Rs. 1600
This can be represented by the equation below
36% of A = 1600
36/100 x A = 1600
0.36 x A = 1600
Divide both sides by 0.36
0.36/0.36 A = 1600/0.36
A = 4444.44
A = Rs. 4,444
Her pocket money was approximately Rs. 4,444
Suvita's total pocket money is calculated by representing her total pocket money as variable x, relating it to the known percentages and the saved amount, and solving for x, which is found to be Rs. 2500.
Explanation:Suvita spent a certain percentage of her pocket money on clothes and shoes, and saved a specific amount. Given that she spent 25% on clothes, 11% on shoes, and saved Rs. 1600, we want to find her total pocket money. To do this, we can represent the total pocket money as x. The amount spent on clothes is 0.25x, and on shoes is 0.11x. The saved amount is known, which is Rs. 1600.
We know that the total pocket money is the sum of money spent on clothes, shoes, and savings. Therefore, x = 0.25x + 0.11x + 1600. Simplifying, we combine like terms to find the total percentage spent: 0.25 + 0.11 = 0.36. So, x = 0.36x + 1600. Subtract 0.36x from both sides to get 0.64x = 1600. To find x, we divide both sides by 0.64, which gives us x = 1600 / 0.64.
After calculating the division, we discover that Suvita's total pocket money is Rs. 2500. Therefore, she had Rs. 2500, out of which she spent 25% on clothes, 11% on shoes, and saved Rs. 1600.
Kerion has a beaded necklace business. She can make 15 necklaces in 2 hours how long will it take her to make 45?
6 hours
Hope this helped
Answer:
6 hours
Step-by-step explanation:
She can make 15 necklaces in 2 hours. Which means, in another 2 hours, she's going to make another 15 necklaces. So in 2+2 hours, she would be making 15+15 necklaces.
That is, in 4 hours, she would be making 30 necklaces.
And in another 2 hours, another 15 necklaces would be made.
In 4+2 hours, she would have made a total of 30+15 necklaces. Which means, in 6 hours, she would make 45 necklaces.
Another way to get this is:
If she makes 15 necklaces in 2 hours.
Then 45/15 gives 3.
Multiply the 3 to 2 gives 6 hours.
What does AB represent in this figure
Answer:
B. Ray
Step-by-step explanation:
When they ask what does AB represent because they put the A first this means that the line is going from A to B and because there is an arrow and the end of B this means its a ray.
A ray is a half-infinite line. AB represents a ray.
What is a ray?A ray is a half-infinite line (sometimes called a half-line) in which one of the two points A and B is assumed to be at infinity.
As we can see that AB has a point on one side while the other side of the line has an arrow, therefore, AB represents a ray.
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How can I this math equation -5 -x =-8
Answer: x = 3
Step-by-step explanation:
-5 -x = -8
-× = -8 + 5
-x = -3
x = 3
6x-3=3x+12 what is X
Answer:
6x-3=3x+12
+3 . +3
6x=3x+15
-3x=-3x
3x=15
X=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
6x - 3 = 3x + 12
Combine like terms
6x - 3x = 3 + 12
3x = 15
Divide both sides by 3
3x/3 = 15/3
x = 5
Solve the following equation.
66 = 6n
Gabby assigned a number to each of the 120 athletes at her school and
put the numbers in a box. She randomly chose 25 numbers and found that
10 athletes were female. Use this sample to make an inference about how
many athletes at Gabby's school are female.
Answer:
48
Step-by-step explanation:
[tex] \frac{10}{25} [/tex]
athletes are female. Now, we need to find what
[tex] \frac{x}{120} [/tex]
athletes are female.
10 ÷ 25 = 0.4
0.4 × 100 = 40 so
[tex] \frac{10}{25} = 40\%[/tex]
40% is the experimental probability for the number of female athletes in the sample. 40% of 120 should be about the number of female athletes in the whole school.
120 × 0.4 (or 40%) = 48.
You can infer that 48 athletes in the school are female.
Answer:
Step-by-step explanation:48
(-7 -3) (-3, 5) write an equation of a line that passes through each pair of points
Answer:
y = 2x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 7, - 3) and (x₂, y₂ ) = (- 3, 5)
m = [tex]\frac{5+3}{-3+7}[/tex] = [tex]\frac{8}{4}[/tex] = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (- 3, 5 ), then
5 = - 6 + c ⇒ c = 5 + 6 = 11
y = 2x + 11 ← equation of line
To write an equation of a line that passes through two points, use the slope-intercept form. Find the slope using the formula and substitute the values into the equation.
Explanation:To write an equation of a line that passes through two points, we can use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Given the points (-7, -3) and (-3, 5), we can find the slope by using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we get m = (5 - (-3)) / (-3 - (-7)) = 8 / 4 = 2.
Now that we have the slope, we can choose either point and substitute the values into the equation. Let's use the first point (-7, -3): -3 = 2(-7) + b. Solving for b, we get b = -3 - 2(-7) = -3 + 14 = 11.
Therefore, the equation of the line that passes through the points (-7, -3) and (-3, 5) is y = 2x + 11.
The roots of the quadratic equation z^2 + az + b = 0 are -7 + 2i and -7 - 2i. What is a+b?
The required value of a + b = -14.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The standard quadratic function is given by as f(x) = ax² + b x + c.
The roots of the quadratic equation z² + az + b = 0 are -7 + 2i and -7 - 2i,
As we know that the sum of roots is -b/a for the standard quadratic function.
So the sum of these roots, -7 + 2i + (-7 - 2i) = -14, is equal to -a/2.
Hence, a = -28, and the sum of the coefficients, a + b = -28 + b = -14.
So, a + b = -14.
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Final answer:
The sum of the coefficients a and b from the quadratic equation with roots -7 + 2i and -7 - 2i is 67.
Explanation:
The roots of the quadratic equation z2 + az + b = 0 given are -7 + 2i and -7 - 2i. These roots are complex conjugates of each other. According to the properties of quadratics, the sum of the roots (given by -a) is equal to -7 + 2i + (-7 - 2i), which simplifies to -14. Therefore, the coefficient a is 14. To find b, we use the fact that the product of the roots is b. Thus, b equals (-7 + 2i) x (-7 - 2i), which expands to 49 + 4, giving us b = 53. The question asks us for the sum of a and b, which is 14 + 53 = 67.
Juanita has 3 1/4 pounds of sugar. How many ounces of sugar does she have? Explain how you know?
Answer:
12 ounces
Step-by-step explanation:
3
Final answer:
To find out how many ounces Juanita has from 3 1/4 pounds of sugar, we convert the 1/4 pound into ounces and add it to the full pounds after converting them into ounces. The calculation shows that she has 52 ounces of sugar in total.
Explanation:
To answer how many ounces of sugar Juanita has from 3 1/4 pounds, we must first understand the relationship between pounds and ounces. There are 16 ounces in 1 pound. Since Juanita has 3 1/4 pounds, we will first convert the 1/4 pound to ounces and then add that to 3 times 16 ounces.
Here's the calculation step by step:
Convert 1/4 pound to ounces: 1/4 pound = 0.25 × 16 ounces = 4 ounces.
Multiply the whole number of pounds (3) by 16 to get ounces: 3 × 16 = 48 ounces.
Add the ounces from the fractional pound to the ounces from the whole pounds: 48 ounces + 4 ounces = 52 ounces.
Hence, Juanita has 52 ounces of sugar.
Is the following relation a function? {(3, −2), (1, 2), (−1, −4), (−1, 2)} Yes No
Answer:
The ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.
Step-by-step explanation:
Considering the relation
{(3, −2), (1, 2), (−1, −4), (−1, 2)}
No! the following relation is not a function.
Here is the reason:
Check the table
x y occurrence of x
3 -2 1
1 2 1
-1 -4 1
-1 2 2
From the above table, it is clear that the value of input x is occurring more than once (twice here), so the set of ordered pairs is not a function.
Because a set of ordered pairs will be a function only if the ordered pairs do not have the same first coordinate with different second coordinates.
But the ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.
Answer:
no i have this on flvs who else does
Step-by-step explanation: