The probability that a randomly chosen person of Hispanic descent in the US has type AB blood is 0.08 or 8 out of 100.
The probability distribution for the blood type of persons of Hispanic descent in the United States is given as:
- A: 0.31
- B: 0.10
- AB: 0.08
- O: 0.57
To understand this better, we need to know what blood types are and how they are inherited. Blood types are determined by the presence or absence of certain proteins on the surface of red blood cells.
There are four main blood types: A, B, AB, and O. Type A blood has only A proteins, type B blood has only B proteins, type AB blood has both A and B proteins, and type O blood has neither A nor B proteins.
Blood types are inherited from our parents through their genes. Each person inherits two copies of the gene that determines their blood type, one from each parent.
The A and B genes are dominant over the O gene, so if a person inherits an A gene from one parent and an O gene from the other, they will have type A blood.
If they inherit a B gene from one parent and an O gene from the other, they will have type B blood. If they inherit an A gene from one parent and a B gene from the other, they will have type AB blood. And if they inherit an O gene from both parents, they will have type O blood.
The probability distribution for the blood type of persons of Hispanic descent in the US was likely determined through a large-scale study conducted by the Red Cross or another reputable organization.
This study would have involved collecting data on the blood types of a representative sample of people of Hispanic descent in various regions of the US.
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PLEASE HELP! I WILL GIVE BRAINLIEST <3
A regulation football field is 300 feet by 160
feet, with 30 foot end zones at either end of
the longer side. What is the distance from the
back corner of one end zone to the opposite
front corner of the other, as denoted by the
dashed line in the picture to the left?
Answer:
10 <3
Step-by-step explanation:
Answer:
340ft
Step-by-step explanation:
So this is just the Pythagoren Theorem. a^2+b^2=c^2
340ft
What’s the answer ?
Answer:
a. y = 3^x
yep
ype
pey
Answer:
a
Step-by-step explanation:
plug the points into the equations
3¹=3
3²=9
3³=27
3⁴=81
3⁵=243
these are all true equations, so the answer is a
Two numbers have a sum of 124
Write in algebraic expression
Answer:
Step-by-step explanation:
Let one number = x
Let the other number = y
x + y = 124
You can't go any further than that without more information.
The good news is that no number is excluded.
x = 248
y = -124 for example
Mind lending me a hand
Answer:
54
Step-by-step explanation:
55 + 74 + 78 + z + z + 45 = 360
252 + 2z = 360
2z = 108
z = 54
Answer: 288
Step-by-step explanation:
78+74+55=207
The degree of a pentagon is 540°
so 540-207=333
so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...
Sophie plans to repaint some classroom bookcases. All of the bookcases are the same size and each requires 4 over 5 gallons of paint. If she's going to paint 16 bookcases, how many gallons of paint does she need?
Answer:
12.8 gallons of paint
Step-by-step explanation:
Multiply 16 by \(\frac{4}{5}\)
16(4/5) = 12.8
So, she will need 12.8 gallons of paint
Please help, I need answers ASAP.......
Answer:
hope it is helpful to you
Given the function f(x)=6x-11, find f(-1/3).
Answer:
-13
Step-by-step explanation:
(-1/3)*6 = -2
f(-1/3) = -2 -11
f(-1/3) = -13
What is the solution to the equation
5
8
(4x – 16) = 20?
Step-by-step explanation:
(5/8)*(4*x-16) = 20 // - 20
(5/8)*(4*x-16)-20 = 0
5/2*x-30 = 0
5/2*x-30 = 0 // + 30
5/2*x = 30 // : 5/2
x = 30/5/2
solution
x = 12
The solution of the equation 5/8(4x-16)=20 is 12.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 5/8(4x-16)=20
Five by eight times of four times of x minus sixteen.
5/8(4x-16)=20
Apply distributive property
5/8(4x)-5/8(16)=20
5/2x-10=20
Subtract 20 on both sides
5/2x-30=0
Add 30 on both sides
5/2x=30
5x=60
Divide both sides by 5
x=12
Hence, the solution of the equation 5/8(4x-16)=20 is 12.
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Shane, Cheryl, and Isaac went to the store to buy school supplies. Shane bought 4 pens, 3 folders, and 2 notebooks for a total of $12.25. Cheryl bought 4 folders and 6 notebooks for a total of $22. Isaiah bought 2 pens, 1 folder, and 3 notebooks for a total of $10.25. How much does each supply cost? Each pen costs $(1.25 0.50 0.75 1.75). Each folder costs $(2.75 1.75 2.50 1.25). Each notebook costs $(2.75 1.75 2.50 1.25).
The cost of each entity: each pen is $\(1.75\), each folder is $\(2.50\), and each notebook is $\(1.75\).
Let's assign variables to the costs of each supply:
Let the cost of each pen be P dollars.
Let the cost of each folder be F dollars.
Let the cost of each notebook be N dollars.
According to the given information, we can form the following equations:
For Shane:
\(4P + 3F + 2N = 12.25 (Equation \ 1)\)
For Cheryl:
\(4F + 6N = 22 (Equation \ 2)\)
For Isaiah:
\(2P + F + 3N = 10.25 (Equation \ 3)\)
To solve this system of equations, we can use substitution or elimination method.
Using the elimination method, let's multiply Equation 2 by 2 and Equation 3 by 4 to eliminate F:
\(8F + 12N = 44 (Equation \ 4)\\8P + 2F + 12N = 41 (Equation \ 5)\)
Now, subtract Equation 4 from Equation 5 to eliminate F:
\(8P + 2F + 12N - (8F + 12N) = 41 - 44\\8P - 6F = -3\)
Simplifying further, we have:
\(8P - 6F = -3 (Equation \ 6)\)
Now, let's multiply Equation 1 by 4 and Equation 3 by 3 to eliminate N:
\(16P + 12F + 8N = 49 (Equation \ 7)\\6P + 3F + 9N = 30 (Equation \ 8)\)
Now, subtract Equation 8 from Equation 7 to eliminate N:
\(16P + 12F + 8N - (6P + 3F + 9N) = 49 - 30\\10P + 9F - N = 19\)
Simplifying further, we have:
\(10P + 9F - N = 19 (Equation \ 9)\)
Now we have a system of equations consisting of Equation 6, Equation 9, and Equation 2:
\(8P - 6F = -3 (Equation \ 6)\\10P + 9F - N = 19 (Equation \ 9)\\4F + 6N = 22 (Equation \ 2)\)
To find the values of P, F, and N, we can solve this system of equations using any suitable method, such as substitution or elimination.
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When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 6 people and the cost per person was $52. If the number of people changed to 12, what would be the new cost per person?
Given:
Number of people = 6
Cost per person = $52
Let's find the cost per person if the number of people changes to 12.
Given that the number of people is inversely proportional to the cost per person, we have the equation:
\(y=\frac{k}{x}\)Where, k represents the constant of proportionality, y represents the number of people and x represents the cost per person.
Let's find the constant of proportionality k:
\(\begin{gathered} 6=\frac{k}{52} \\ \\ k=6\ast52 \\ \\ k=312 \end{gathered}\)The constant of proportionality, k is 312
To find the cost when number of people changes to 12, we have:
\(\begin{gathered} y=\frac{312}{x} \\ \\ 12=\frac{312}{x} \\ \\ x=\frac{312}{12} \\ \\ x=26 \end{gathered}\)Therefore, when the number of people changes to 12, the new cost is $26
ANSWER:
$26
Z.5 Graph solutions to one-step inequalities TMX DIN 4) Solve the inequality and graph the solution. ≥ 2 Language arts 0 Submit To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. 1 2 3 Science 4 5 7 8 Recommendations 9 10
The solution of the inequality is d≥ 4. The graph is attached with the answer below.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The solution to inequality is,
d/2 ≥ 2
d ≥ 2 x 2
d ≥ 4
The graph states that all the values of "d" are greater than or equal to 4.
Therefore, the solution to the inequality is d≥ 4. The graph is attached with the answer below.
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In 2006, 67.7 million people subscribed to cable television. In 2013, that number had decreased to 56.7 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Answer:
Because of low subscribers the amount will be decreased if you do not make video . So in 2007 the subscribers will be incresed . 67.8 million people took risk of this think. hopw it helps.
Step-by-step explanation:
A unicycle is a simple connected graph which contains exactly one cycle. Find a formula (as a simple sum) for the number of unicycles on the set {1, ..., n} of labeled vertices.
The number of unicycles on a labeled set of vertices {1, 2, ..., n} can be found using the formula: (1/2)(n-1)![(n-2)! - (n-3)! + (n-4)! - ... + \((-1)^{(n-1)}*1\)!]
This formula is based on the fact that a unicycle can be formed by choosing any vertex as the starting point, and then arranging the remaining n-1 vertices in a cycle.
This can be done in (n-1)! ways. However, we must subtract the number of cases where there are disconnected components, which can occur when we exclude one or more edges from the cycle.
To do this, we can use the principle of inclusion-exclusion. The term (n-2)! represents the number of ways to arrange the remaining vertices in a cycle when one edge is excluded, and we subtract this from the total count.
However, we must add back the cases where two edges are excluded and there are two disconnected components. This is given by (n-3)!, and we continue this alternating pattern until we add back or subtract 1!, depending on whether n-1 is odd or even.
Thus, the final formula for the number of unicycles is given by the above expression.
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6. In the Sonoran desert, kangaroo rats (K) compete with ants (A) for food, since both eat seeds. Suppose the competition is modeled by the equations A' = 3A - 2A2 - 2AK K' = 2K - AK – 3K a) Find and classify all the equilibria for this system. b) What will happen to these species in the long run?
a) The determinant of J(1, 3/2) is positive and the trace is negative, so this equilibrium is a stable node. The determinant of J(3/2, 0) is zero and the trace is positive, so this equilibrium is a semi-stable node.
b) if the initial population of ants is zero, then the system will approach the semi-stable equilibrium (A, K) = (3/2, 0
a) To find the equilibria for this system, we need to set both A' and K' equal to 0 and solve for A and K:
1. A' = 3A - 2A² - 2AK = 0
2. K' = 2K - AK - 3K = 0
First, let's find the equilibria for equation 1:
1a. 3A - 2A² - 2AK = 0
1b. 3 - 2A - 2K = 0 (divide by A)
1c. 2A + 2K = 3
1d. A + K = 3/2
Next, let's find the equilibria for equation 2:
2a. 2K - AK - 3K = 0
2b. -A - K = -2 (divide by K)
2c. A + K = 2
Now, let's find the equilibria by solving the system of equations:
1d. A + K = 3/2
2c. A + K = 2
Since the two equations are inconsistent, there are no non-trivial equilibrium points for this system. The only equilibria are A = 0 or K = 0.
b) In the long run, the species will either coexist (A ≠ 0, K ≠ 0) or one of the species will become extinct (A = 0 or K = 0). Since the system does not have a non-trivial equilibrium point, the species will most likely experience competition and one of them will eventually become extinct, depending on the initial conditions.
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(a) Given an initial condition for y0, answer the following questions, where yt is the random variable at time t,ε is the error, t is also the time trend in (iii):
(i) find the solution for yt, where yt=yt−1+εt+0.3εt−1.
(ii) find the solution for yt, and the s-step-ahead forecast Et[yt+s] for yt=1.2yt−1+εt and explain how to make this model stationary.
(iii) find the solution for yt, and the s-step-ahead forecast Et[yt+s] for yt=yt−1+t+εt and explain how to make this model stationary.
(i) To find the solution for yt in the given equation yt = yt−1 + εt + 0.3εt−1, we can rewrite it as yt - yt−1 = εt + 0.3εt−1. By applying the lag operator L, we have (1 - L)yt = εt + 0.3εt−1.
Solving for yt, we get yt = (1/L)(εt + 0.3εt−1). The solution for yt involves lag operators and depends on the values of εt and εt−1. (ii) For the equation yt = 1.2yt−1 + εt, to find the s-step-ahead forecast Et[yt+s], we can recursively substitute the lagged values. Starting with yt = 1.2yt−1 + εt, we have yt+1 = 1.2(1.2yt−1 + εt) + εt+1, yt+2 = 1.2(1.2(1.2yt−1 + εt) + εt+1) + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.
To make this model stationary, we need to ensure that the coefficient on yt−1, which is 1.2 in this case, is less than 1 in absolute value. If it is greater than 1, the process will be explosive and not stationary. To achieve stationarity, we can either decrease the value of 1.2 or introduce appropriate differencing operators.
(iii) For the equation yt = yt−1 + t + εt, finding the solution for yt and the s-step-ahead forecast Et[yt+s] involves incorporating the time trend t. By recursively substituting the lagged values, we have yt = yt−1 + t + εt, yt+1 = yt + t + εt+1, yt+2 = yt+1 + t + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.
To make this model stationary, we need to remove the time trend component. We can achieve this by differencing the series. Taking first differences of yt, we obtain Δyt = yt - yt-1 = t + εt. The differenced series Δyt eliminates the time trend, making the model stationary. We can then apply forecasting techniques to predict Et[Δyt+s], which would correspond to the s-step-ahead forecast Et[yt+s] for the original series yt.
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if marvin cannon completed 81 successful free throws put of 90 attempts what percent were unsuccessful
Total attempt = 90
Successful throws = 81
Unsuccessful = Total attempt - Successful
= 90 - 81
=> 9
To calculate the percentage of unsuccessful, we will use the formula:
\(undefined\)identify the area od the rhombus.
Calculate the height of the upper triangle, using the Pythagoras theorem
\(\begin{gathered} 25^2=7^2+h^2 \\ h^2\text{ = }625\text{ - 49} \\ h^2\text{ = }576 \\ h\text{ = }\sqrt[]{576} \\ h\text{ = }24 \end{gathered}\)The length of the vertical diagonal = 2 x 24
The length of the vertical diagonal = 48m
\(\begin{gathered} \text{Area = }\frac{48\times14}{2} \\ \text{Area = }48\times7 \\ \text{Area = 336 m}^2 \end{gathered}\)Draw at least six different sized rectangles that have an area of 64 square units then find the perimeter of each rectangle.
Six different sized rectangles that have an area of 64 square units:
1) 64 units x 1 unit
2) 32 units x 2 units
3) 16 units x 4 units
4) 40 units x 1.4 units
5) 20 units x 3.2 unit
6) 10 units x 6.4 units
For given question,
Let l be the length of the rectangle and w be the width of the rectangle.
We know that, the area of a rectangle is equal to
A = l × w
Here, A = 64 square units
So, we get an equation
l × w = 64 ...............................(1)
let's assume different values of l to get the different values of w.
Case 1) For l = 64 units
substitute in the equation 1
⇒ 64 × w = 64
⇒ w = 64/64
⇒ w = 1 units
The dimensions of the rectangle are 64 units x 1 unit
See the draw in the attached figure 1
Case 2) For l = 32 units
substitute in the equation 1
⇒ 32 × w = 64
⇒ w = 64/32
⇒ w = 2 units
The dimensions of the rectangle are 32 units x 2 unit
See the draw in the attached figure 2
Case 3) For l = 16 units
substitute in the equation 1
⇒ 16 × w = 64
⇒ w = 64/16
⇒ w = 4 units
The dimensions of the rectangle are 16 units x 4 unit
See the draw in the attached figure 3
Case 4) For l = 40 units
substitute in the equation 1
⇒ 40 × w = 64
⇒ w = 64/40
⇒ w = 1.4 units
The dimensions of the rectangle are 40 units x 1.4 unit
See the draw in the attached figure 4
Case 5) For l = 20 units
substitute in the equation 1
⇒ 20 × w = 64
⇒ w = 64/20
⇒ w = 3.2 units
The dimensions of the rectangle are 20 units x 3.2 unit
See the draw in the attached figure 5
Case 6) For l = 10 units
substitute in the equation 1
⇒ 10 × w = 64
⇒ w = 64/10
⇒ w = 6.4 units
The dimensions of the rectangle are 10 units x 6.4 unit
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HELP HELP HELP!!!!!!!!!!
The value of y when x = 4 is 1.
How to represent a function?A function relates an input to an output.
In other words, a function is a rule that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Therefore, the graph represent a function where the y values represent the dependent variables and the x values represent the independent variables.
Hence, when x = 4, y = 1.
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Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
Answer:
The correct answer is -$1,209.85-verified by Edg. Thank you.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A fair owner made $60 when a group of 10 people entered, which is a rate of ____ dollar per person
Answer:
6 dollar per person
Step-by-step explanation:
60/10=6
Answer:
6
Step-by-step explanation:
divide by the number that got you to people to 1. If this helps please put brainliest
HELPPP PLSSS , geometry
Answer:
64
Step-by-step explanation:
Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64
HURRY!! 20 POINTS!! What is the solution set of the equation x+3/x+2=3+1/x? Note: x≠0, −2
{2} {−1, 2} {−1, 1} {−1}
The solution set for the given equation is x=-1 .
Solution set is written as {-1}
for better understanding check the calculation below.
Calculation :We need to solve the given equation
\(\frac{x+3}{x+2} =3+\frac{1}{x}\)
To solve any equation we take LCD.
LCD of the given equation is x(x+2)
Multiply LCD with each term to remove the denominator
\(\frac{x+3}{x+2}\cdot x(x+2) =3\cdot x(x+2)+\frac{1}{x}\cdot x(x+2)\\x(x+3)=3x(x+2)+x+2\\x^2+3x=3x^2+6x+x+2\\\)
Subtract x^2 and 3x from both sides of the equation to get 0 on the left side of the equation
\(0=3x^2+6x+x+2-x^2-3x\\0=2x^2+4x+2\\\)
Now divide the whole equation by 2 and then we factor it
\(0=x^2+2x+1\\0=(x+1)(x+1) \\x+1=0\\x=-1\)
The solution set for the given equation is x=-1
Solution set is written as {-1}
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Answer:
-1
Step-by-step explanation:
and D are noncoplanar. △ABC,△ABC,△ACD, and △ABD are equilateral. X and Y are midpoints of AC¯¯¯¯¯¯¯¯ and and AD.Z is a point on AB¯¯¯¯¯¯¯¯. What kind of triangle is △XYZ? Explain.
ΔXYZ will also be an equilateral triangle.
What is equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.
As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic
Hence XYZ will also be an equilateral triangle
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Out of 30 students surveyed, 17 have a dog. based on these results, predict how many of the 300 students in the school have a dog?
If you throw three dice , the probability of getting three sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probability of getting;
a- fewer than three sixes
b- at least one six
Step-by-step explanation:
a- The probability of getting fewer than three sixes is 100% - 0.5% = 99.5%.
b- The probability of getting at least one six is 100% - 57.9% = 42.1%.
A jar contains 47 marbles, of which 6 are blue, 2 are red, and the rest are green. What is the ratio of green marbles to all marbles?
The ratio of green marbles to all marbles is 39:47, or approximately 8:9.
6 blue : 47 total = 6:47
2 red : 47 total = 2:47
green : 47 total = (47-6-2):47 = 39:47
The ratio of green marbles to all marbles in the jar is 39:47. This can be determined by taking the number of green marbles (39) and dividing it by the total number of marbles in the jar (47). This results in a ratio of approximately 8:9. It is important to note that this ratio does not take into account the other colors of marbles in the jar, only the green ones. To find out the ratio of all marbles in the jar, including blue and red, we must first calculate the ratio of blue and red marbles to the total. This can be done by taking the number of blue marbles (6) and dividing it by the total number of marbles (47), which gives us a ratio of 6:47. Similarly, the ratio of red marbles to the total can be calculated by taking the number of red marbles (2) and dividing it by the total number of marbles (47), giving us a ratio of 2:47. Finally, we can calculate the ratio of all marbles in the jar by adding the ratios of blue and red marbles to the ratio of green marbles, which gives us a ratio of (39+6+2):47, or 39:47.
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HELP WITH PERFORMANCE TASK PLEASE! I DESPERATLY NEED CORRECT ANSWERS!
I will mark brainliest!
Answer:
so um try The y-intercept represents a starting salary of $ 3,000 for a new employee.
The slope represents an additional $ 2,500 in salary for each additional year of employment.
If the starting salary for a new employee is changed to $35,000 and the salary increase is unchanged, the new equation would be y= 2,500x + 35,000
If the yearly salary increase is changed to $ 2,500 . the new equation would be y= 3,000
Step-by-step explanation:
Im not very good at Math im sorry if they're wrong
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is long 32ft and 26ft wide. Find the area of the garden. Use the value for pie, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the rose garden is 98π + 896 square feet.
What is the area?The area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given:
A rose garden is formed by joining a rectangle and a semicircle, as shown below.
The radius of the semicircle is 28/2 = 14 feet.
The rectangle is long 32ft and 26ft wide.
The area of the garden,
= area of the semicircle + area of the rectangle
= π(14 x 14)/2 + (28 x 32)
= 98π + 896 square feet.
Therefore, the area is 98π + 896 square feet.
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Develop a table of values for each equation. Find at least three ordered pairs for each one
1.y=x+4
2.y=3x-6
To develop a table of functions for the values we have
y = x + 4
x y
0 4
1 5
2 6
3 7
the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)
y = 3x - 6
x y
0 -6
1 -3
2 0
3 3
the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)
How to find the table of valuesy = x + 4
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7
y = 0 + 4 = 4
y = 1 + 4 = 5
y = 3x - 6
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3
y = 3(0) - 6 = 0 - 6 = -6
y = 3(1) - 6 = 3 - 6 = -3
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