Answer:
x =10
Step-by-step explanation:
3x + 10 = 6x -20
3x - 6x + 10 = -20
-3x + 10 = -20
-3x = -20 -10
-3x = -30
x = -30/-3
x = 10
Check:
3(10) + 10 = 6(10) - 20
30 + 10 = 60 - 20
40 = 40
Points C, D, and G lie on plane X. Points E and F lie on plane Y.
Vertical plane X intersects horizontal plane Y. Point E is on the left half of plane Y. Point F is on the right half of plane Y. Points C and D are on the top half of plane X. Point G is on the bottom half of plane X. Points A and B are outside of the planes.
Which statements are true? Select three options.
There are exactly two planes that contain points A, B, and F.
There is exactly one plane that contains points E, F, and B.
The line that can be drawn through points C and G would lie in plane X.
The line that can be drawn through points E and F would lie in plane Y.
The only points that can lie on plane Y are points E and F.
Answ
hey 15 hours lateradm ls asdk
Step-by-step explanation:
The cost for 16 ounces of cheese is $3.20. What is the cost for 20 ounces of cheese? The cost for 20 ounces of cheese is $
Answer:
Step-by-step explanation:
Find the midpoint of the segment joining points A and B, A(6,-7) B(6,3)
6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the same quote
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
There are 6 students, hence n = 6.There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.The probability of one quote being chosen at least two times is given by:
\(P(X \geq 2) = 1 - P(X < 2)\)
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351\)
\(P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321\)
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328\)
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
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1. (cards) assume we have a well-shuffled, standard deck of playing cards (a) how many poker hands (sets of 5 cards) consist of exactly 2 aces and 3 kings? (b) assume we deal the entire deck. what is the probability that the first king is dealt out on the 13th card ?
The number of poker hands consisting of 2 aces and 3 kings is 41,472.
The probability that the first king is dealt out on the 13th card is 1/52.
(a) There are 4 aces and 4 kings in a standard deck of playing cards, so there are C(4,2) = 6 ways to choose 2 aces out of 4, and C(4,3) = 4 ways to choose 3 kings out of 4. Then, there are C(48,3) = 17, 296 ways to choose the remaining 3 cards from the remaining 48 cards in the deck. The number of poker hands consisting of 2 aces and 3 kings is 6 * 4 * 17, 296 = 41,472.
(b) The probability that the first king is dealt out on the 13th card is 1/52, since there are 52 cards in a standard deck and the first king can be any of them. The probability that the first king is dealt out on the 13th card is independent of the order in which the other cards are dealt, so this is the final answer.
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2 The Erickson family went to a sale where all shoes were the same price. They spent $148.75. Each of the five members of the family got one pair of shoes at the sale. How much did each pair of shoes cost? A. $30.75 B. $28.75 C. $29.75 D. $29.15 6.RP.2
Answer:
C
Step-by-step explanation:
you take the 5 family members, and you take the total, and divide it by 5. the answer is 29.75
2. After running the appropriate statistical tests, Jack finds that life satisfaction was __________ in the older adults (M = 4.9, SD = 1.2) than in middle-aged adults (M = 4.1, SD = 1.8), t(58) = 2.03, p = .047, 95% CI [0.01, 1.59], d = .52. A. From these statistical results, what conclusions can Jack make? Comment on whether there are statistically significant differences between the groups and how you know. B. What should Jack decide about the hypotheses? C. What does the "t(58) = 2.03" tell us? D. What can we conclude from the confidence interval? E. What does the effect size tell us?
A. From the statistical results, Jack can conclude that there is a statistically significant difference between the life satisfaction of older adults and middle-aged adults. This is evidenced by the t-value of 2.03 and p-value of .047, which fall below the standard cutoffs for statistical significance. The 95% confidence interval also supports this conclusion, as it does not include zero.
B. Based on these results, Jack should reject the null hypothesis and accept the alternative hypothesis that there is a difference in life satisfaction between older adults and middle-aged adults.
C. The "t(58) = 2.03" indicates the t-value of the statistical test, which is a measure of the difference between the means of the two groups divided by the standard error of that difference. In this case, the t-value of 2.03 suggests that the difference in life satisfaction between the two groups is larger than would be expected by chance.
D. The confidence interval tells us that there is a 95% chance that the true difference in life satisfaction between the two groups falls within the range of 0.01 to 1.59. This suggests that the difference between the two groups is likely not due to chance.
E. The effect size (d = .52) tells us that the difference in life satisfaction between the two groups is moderate in magnitude. This suggests that the difference is not only statistically significant but also practically meaningful.
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In the complex Hilbert space H=C 4
we consider the following operators: A= 4
1
⎝
⎛
5
1
1
1
−1
3
−1
−1
1
1
5
1
−1
−1
−1
3
⎠
⎞
H= 6
1
⎝
⎛
5
−4+2i
1
4−2i
−4−2i
−2
4+2i
−4
1
4−2i
5
−4+2i
4+2i
−4
−4−2i
−2
⎠
⎞
a) Determine if they are self-adjoint. b) For those that are self-adjoint, calculate the possible values of the measure of the associated observable. c) Fill in the information requested in the following table, if the measurement is made on the state Ψ= 24
2
(10+5i,−4+3i,2−5i,10−3i)
The answer is a) The operator A is self-adjoint, but the operator H is not self-adjoint.
In order to determine if an operator is self-adjoint, we need to compare it with its adjoint. The adjoint of an operator A, denoted by A*, is the operator obtained by taking the conjugate transpose of A.
a) For operator A, we calculate its adjoint A*:
A* = 5 1 1 1
-1 3 -1 -1
1 1 5 1
-1 -1 -1 3
To check if A is self-adjoint, we compare A with its adjoint A*. Since A = A*, operator A is self-adjoint.
b) For the self-adjoint operator A, the possible values of the measure of the associated observable can be obtained by finding the eigenvalues of A. The eigenvalues represent the possible outcomes of measurements corresponding to the observable associated with A.
c) The provided state Ψ = (10+5i, -4+3i, 2-5i, 10-3i) can be used to calculate the measurement outcomes. To obtain the possible values of the measure of the associated observable, we need to calculate the inner product of the state Ψ with its corresponding eigenvectors and then square the magnitudes.
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m = y2 - y1 x2 - x1 What is the slope of line segment EF?
A) 1 /3
B) 3/ 2
C) 2 /3
D) - 3 /2
Answer:
b. 3/2
Step-by-step explanation:
lmk if im correct
Vivi needs to solve the system of equations below using elimination.
4× + 6y =-14
-× +3y=-10
Which correctly describes a possible first step Vivi could take?
D. Multiply each term in the 2nd equation by 2.
b. Multiply each term in the 2nd equation by -4.
C. Multiply each term in the 2nd equation by 4.
d. Both a and c could work.
A possible first step Vivi could take is multiply each term in the second equation by 2 and she can also multiply each term in the second equation by 4. The correct option is d. Both a and c could work.
Elimination method: Determining a possible first stepFrom the question, we are to determine the statement that correctly describes a possible first step Vivi could take
From the given information,
The given system of equations is
4x + 6y = -14
-x + 3y = -10
To eliminate y, we can multiply each term in the second equation by 2 and then subtract
2 × [-x + 3y = -10
-2x + 6y = -20
Then, subtract
4x + 6y = -14
-{ -2x + 6y = -20
------------------------
6x = 6
To eliminate x, we can multiply each term in the second equation by 4 and add the equations,
4 × [-x + 3y = -10
-4x + 12y = -40
Then, add
4x + 6y = -14
+{ -4x + 12y = -40
--------------------
18y = -54
Hence, we can multiply each term in the second equation by 2 and we can also multiply each term in the second equation by 4.
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Their is a rectangle that has measurements in inches. If the width is 7/8 of an inch and the height is 2/3 of an inch, what is the AREA of the rectangle?
Answer:
Area of a rectangle = 7/12 of an inch
Step-by-step explanation
Area of a rectangle = Length × width
In this case, the length is represented by height
Height = 2/3 of an inch
Width = 7/8 of an inch
Area of a rectangle = Length × width
= 2/3 × 7/8
= (2 * 7) / (3 * 8)
= 14 / 24
= 7 / 12
Area of a rectangle = 7/12 of an inch
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. T/F
True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.
The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.
The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.
The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.
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a pair tests defective if at least one of the two cips is defective, and not defective otherwise. if (a,b), (a,c) are tested defective, what is minimum possible probability that chip a is defective
The minimum possible probability that chip A is defective can be calculated using conditional probability. Given that chips (A, B) and (A, C) are tested defective, the minimum possible probability that chip A is defective is 1/3.
Let's consider the different possibilities for the status of chips A, B, and C.
Case 1: Chip A is defective.
In this case, both (A, B) and (A, C) are tested defective as stated in the problem.
Case 2: Chip B is defective.
In this case, (A, B) is tested defective, but (A, C) is not tested defective.
Case 3: Chip C is defective.
In this case, (A, C) is tested defective, but (A, B) is not tested defective.
Case 4: Neither chip A, B, nor C is defective.
In this case, neither (A, B) nor (A, C) are tested defective.
From the given information, we know that at least one of the pairs (A, B) and (A, C) is tested defective. Therefore, we can eliminate Case 4, as it contradicts the given data.
Among the remaining cases (Case 1, Case 2, and Case 3), only Case 1 satisfies the condition where both (A, B) and (A, C) are tested defective.
Hence, the minimum possible probability that chip A is defective is the probability of Case 1 occurring, which is 1/3.
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MY NOTES ASK YOUR TEACHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter NONE In any unused answer blanks.) fx, y)-8-2x+4y-²-4² maximum " (smaller x value) (larger x value) " minimum " (smaller x value) " (larger a value) saddle points Submit Answer ) (smallest x value) ) (largest x value)
The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.
To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.
Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:
∂f/∂x = -2 - 2x
∂f/∂y = 4 - 8y
To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.
Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).
There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.
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what is the average of 2,2,8and12
Answer:
The average is of 2,2,8,12 is 6
Answer:
6
Step-by-step explanation:
2+2+8+12= 24/4= 6
hope this helped! :)
If Cade shoots 318 free throw baskets in 4 hours, about how many can he shoot in 7 hours?
Answer:
556.5
Step-by-step explanation:
318 divided by 4
take that number and multiply by 7
Answer:
557
Step-by-step explanation:
318:4=x:7
x=318x7/4
What is the length of the diagonal, d, of the cube shown below?
Round your answer to the nearest tenth
Answer:
103.8
Step-by-step explanation:
Length of diagonal of a cube is given by the formula:
\(d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units\)
The length of the diagonal of the cube is 103.9 units.
What is a cube?
A cube is a three dimensional figure or object which has all the side with equal length.
The length of each side of the cube = a = 60 units.
Therefore, the length of the diagonal of the cube = d = a\(\sqrt{3}\) = 60\(\sqrt{3}\) units = 103.9 units.
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Find the value of x in the triangle shown below.
9
8
Choose 1 answer:
8
Answer:
C; \(x=\sqrt{17}\)
Step-by-step explanation:
To find the missing length of a right triangle, we can use the Pythagorean Theorem. This theorem states that \(a^{2}+b^{2}=c^2\), where a and b are the legs of a right triangle and c is the hypotenuse. In our problem, we are solving for one of the legs. In this problem we'll say that a=8 and b=x while c=9. Now, let's solve for x.
\(a^{2}+b^{2}=c^2\)
a=8
b=x
c=9
\(8^2+x^2=9^2\\64+x^2=81\\x^2=17\\x=\sqrt{17}\)
So, our answer must be C.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
I need to know this fairly soon pleaseee
Answer:
m<PQT= 94°
Step-by-step explanation:
If line QS bisect <PQR
m<PQS = m < SQR
7x-6= 4x+15
7x-4x= 15+6
3x= 21
X= 21/3
X= 7
m<PQS= 7x-6
m<PQS= 7(7)-6
m<PQS= 49-6
m<PQS= 43°
m<PQS= m<SQR
<mSQR=43°
m<PQR= m<PQS + m < SQR
m<PQR=43+43
m<PQR= 86°
BUT
m<PQR= m<TQW
m<PQT= m<RQW
m<PQR+m<TQW +m<PQT+ m<RQW
= 360°
Let m<TQW= x
86+86+x+x= 360
2x+172= 360
2x= 188
X= 94°
m<PQT= 94°
find a formula for the probability of the union of five events in a sample space if no four of them can occur at the same time.
The formula for the probability is as follows:
P(A ∪ B ∪ C ∪ D ∪ E) = P(A) + P(B) + P(C) + P(D) + P(E) - P(A ∩ B) - P(A ∩ C) - P(A ∩ D) - P(A ∩ E) - P(B ∩ C) - P(B ∩ D) - P(B ∩ E) - P(C ∩ D) - P(C ∩ E) - P(D ∩ E) + P(A ∩ B ∩ C) + P(A ∩ B ∩ D) + P(A ∩ B ∩ E) + P(A ∩ C ∩ D) + P(A ∩ C ∩ E) + P(A ∩ D ∩ E) + P(B ∩ C ∩ D) + P(B ∩ C ∩ E) + P(B ∩ D ∩ E) + P(C ∩ D ∩ E) - P(A ∩ B ∩ C ∩ D) - P(A ∩ B ∩ C ∩ E) - P(A ∩ B ∩ D ∩ E) - P(A ∩ C ∩ D ∩ E) - P(B ∩ C ∩ D ∩ E) + P(A ∩ B ∩ C ∩ D ∩ E).
To calculate the probability of the union of five events in a sample space, we use the principle of inclusion-exclusion. The formula takes into account all possible combinations of the events and adjusts for overlaps.
The formula starts with adding the individual probabilities of each event: P(A) + P(B) + P(C) + P(D) + P(E). This accounts for the events occurring individually.
Then, we subtract the probabilities of the intersections of two events: P(A ∩ B), P(A ∩ C), P(A ∩ D), P(A ∩ E), P(B ∩ C), P(B ∩ D), P(B ∩ E), P(C ∩ D), P(C ∩ E), P(D ∩ E). This ensures that the overlapping probabilities are not double-counted.
Next, we add back the probabilities of the intersections of three events: P(A ∩ B ∩ C), P(A ∩ B ∩ D), P(A ∩ B ∩ E), P(A ∩ C ∩ D), P(A ∩ C ∩ E), P(A ∩ D ∩ E), P(B ∩ C ∩ D), P(B ∩ C ∩ E), P(B ∩ D ∩ E), P(C ∩ D ∩ E). This compensates for the previously subtracted probabilities.
We continue this pattern of subtraction and addition for the intersections of four events and five events.
Finally, we subtract the probability of the intersection of all five events: P(A ∩ B ∩ C ∩ D ∩ E). This ensures that it is not counted multiple times during the inclusion-exclusion process.
By following this formula, we can calculate the probability of the union of five events in a sample space, satisfying the condition that no four of them can occur simultaneously.
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write interval notation x>2 or -x >6
To answer this question, we need to have into account the following:
1. In the context of interval notation, the word "or" can be represented by the symbol "U".
2. We need to rearrange the inequality -x > 6 in a way that we have positive x.
We can proceed as follows:
Case x>2\(x>2\Rightarrow(2,\infty)\)We can express the inequality in this way because it expresses all of the values greater than 2, and these values tend to the positive infinity. We have parenthesis here since the values are not equal to 2 (only greater than 2).
Case -x > 6If we multiply both sides of the inequality by -1, we need to reverse the direction of the inequality as follows:
\(\begin{gathered} -1(-x>6)=-1(-x)<-1(6) \\ x<-6 \end{gathered}\)Now, we have all of the values less than -6, not equal, and because of this, we have to use parenthesis:
\(x<-6=(-\infty,-6)\)Therefore, we can say that:
\(\begin{gathered} x>2\text{ or -x>6} \\ \end{gathered}\)Can be expressed in interval notation as:
\((-\infty,-6)\cup(2,\infty)\)In summary, the answer to this question is:
\((-\infty,-6)\cup(2,\infty)\)A vitamin tablet contains 120 milligrams of vitamin C. How many grams of vitamin C is this?
Answer:
0.12 grams of Vitamin C.
Step-by-step explanation:
tell me if i am right
27< 3+5x+4
“With a step-by-step explanation be specific”
Answer:
\(27 < 3 + 5x + 4 \\ 27 < 7 + 5x \\ 27 - 7 < 5x \\ 20 < 5x \\5x > 20 \\ x > \frac{20}{5} \\ \boxed{x > 4}\)
x>4 is the right answer.Each basket contains 3 identical bags of stuffing and 6 pound bag of rice.
The total pounds of rice will be 18 pounds.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, each basket contains 3 identical bags of stuffing and 6 pound bag of rice. The total pounds will be:
= 3 × 6
= 18 pounds
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Complete question
Each basket contains 3 identical bags of stuffing and 6 pound bag of rice. What is the total pounds of rice?
How many pounds is 85 kg in lbs?
Answer: 187.425 Lbs
Step-by-step explanation: The Formula for an approximate result, multiply the mass value by 2.205.
So, 85 * 2.205= 187.425
There are 187.425 lbs in 85 kilograms. The answer is obtained by applying the unit conversion.
What is unit conversion?
A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.
In the question, we have been given 85 kilograms which are to be converted into pounds and to be represented in lbs.
We know that 1 kilogram = 2.205 lbs(approx)
Therefore,
⇒85 kilograms = 85 * 2.205
⇒85 kilograms = 187.425 lbs
Hence, there are 187.425 lbs in 85 kilograms.
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what is 6x -25+ 3x +80
Answer:
9x+55
Step-by-step explanation:
6x + 3x = 9x
80-25=55
9x+55
Determine if the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x). 56)=x +17x² +11x+23 Part: 0/2 Part 1 of 2 (a) The upper bound theorem (Choose one) 3 as an upper bound for the real zeros of (x). X
The answer is the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x). The upper bound theorem does not specify any upper bound for the real zeros of (x)
The Lower bound theorem states that "If the terms of a polynomial are arranged in descending order of their degrees, then the absolute value of the quotient of the constant term and the coefficient of the term of the highest degree gives a lower bound for the absolute value of its zeros." Let's examine whether the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x) and whether 3 is an upper bound for the real zeros of (x).
As f(x) = 56 = x + 17x² + 11x + 23Since f(x) is not arranged in descending order of their degrees, we have to rearrange it as follows. 17x² + 11x + x + 23 + 56 = 17x² + 12x + 79 on rearranging the equation we have: 17x² + 12x + 79 = 0Hence the constant term is 79 and the coefficient of the term of the highest degree is 17. Thus, using the lower bound theorem, we can evaluate that a lower bound for the absolute value of the zeros of the polynomial is 79/17 ≈ 4.65 Since -2 is less than the calculated lower bound of 4.65, it is indeed a lower bound for the real zeros of f(x). Now, for (x), the constant term is 0, and the coefficient of the term of the highest degree is 1. Thus, using the upper bound theorem, we can evaluate that an upper bound for the absolute value of the zeros of the polynomial is 1/0, which is equal to infinity. Since infinity is not a number, 3 cannot be an upper bound for the real zeros of (x).
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A rectangle has a perimeter of 22cm with a length of 10m. What is the width of one side?
Step-by-step explanation:
We know that
1m = 100cm
according to question
perimeter of rectangle = 2 (l+b)
22cm = 2 (100+b)cm
2×(100+b)cm = 22cm
100+b cm = 22/2cm
100+b cm = 11 cm
b = 100 -11 cm
hence, breadth = 89 cm .thanks for ask question.
help with this please i suck at math
Answer:
You're asked to find the cube root of 125.
That is,to cancel the power of y, you'd have to cube root both sides.
answer is 5
How to graph quadratic equation
Answer:
Below
Step-by-step explanation:
Pick a bunch of values of 'x' .....calculate the corresponding 'y' values then plot the ordered pairs and connect the dots with a smooth curved line ...