Final answer:
The expected number of peaks in the distribution of exam scores for the described student group would be three, correlating to the clusters of the grades A, B, and C.
Explanation:
The question asks how many peaks we would expect in the distribution of exam scores for a given set of students. Given the information that 35 students got an A, 25 students got a B, and 18 students got a C, it would be reasonable to expect that there would be three peaks in this distribution. This is assuming that the scores that correlate with these grades tend to cluster around a certain range or value, which is common in educational grading systems.
In this scenario, the likely three peaks would correspond to the ranges or average scores that are designated for the grades of A, B, and C. Since these are the only grades mentioned and no other grades such as D, E, or F are indicated, one would not expect additional peaks.
Therefore, the most appropriate answer to the question is Option C: There would probably be three peaks because the only grades received were A, B, and C.
a commercial jet and a private airplane fly from Denver to phoenix. it takes the commercial jet 1.1 hours for the flight, and it takes the private airplane 1.8 hours. the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. Find the speed of both airplanes
The speed of the commercial jet is [tex]540mi/h[/tex] while the speed of the private airplane is [tex]330mi/h[/tex]
Step-by-step explanation:
Let's name the commercial jet as cj and private airplane as pa, so we know the following:
It takes the commercial jet 1.1 hours for the flight, so:
[tex]t_{cj}=1.1h[/tex]
It takes the private airplane 1.8 hours for the flight, so:
[tex]t_{pa}=1.8h[/tex]
The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane:
Let's name the speed of the commercial jet as [tex]v_{cj}[/tex] and the speed of the private airplane as [tex]v_{pa}[/tex], then:
[tex]v_{cj}=v_{pa}+210[/tex]
From physics we know that:
[tex]v=\frac{d}{t} \\ \\ Where: \\ \\ v: \ speed \\ \\ d: \ distance \\ \\ t: \ time[/tex]
Since the distance from Denver to phoenix is unique, then:
[tex]d_{cj}=d_{pa}=d[/tex]
Thus, from the equation [tex]v_{cj}=v_{pa}+210[/tex] and given the relationship [tex]v=\frac{d}{t}[/tex] we have:
[tex]v_{cj}=v_{pa}+210 \\ \\ \frac{d}{t_{cj}}=\frac{d}{t_{pa}}+210 \\ \\ \\ Plug \ in \ t_{cj}=1.1 \ and \ t_{pa}=1.8 \ then: \\ \\ \frac{d}{1.1}=\frac{d}{1.8}+210 \\ \\ Isolating \ d: \\ \\ d(\frac{1}{1.1}-\frac{1}{1.8})=210 \\ \\ \frac{35}{99}d=210 \\ \\ d=\frac{99\times 210}{35} \\ \\ d=594miles[/tex]
Finally, the speeds are:
[tex]\bullet \ v_{cj}=\frac{d}{t_{cj}} \\ \\ v_{cj}=\frac{594}{1.1} \therefore \boxed{v_{cj}=540mi/h} \\ \\ \\ \bullet \ v_{pa}=\frac{d}{t_{pa}} \\ \\ v_{pa}=\frac{594}{1.8} \therefore \boxed{v_{pa}=330mi/h}[/tex]
What is the solution to the system of equations? y = x + 3 x = –2
Answer:
(-2, 1)
Step-by-step explanation:
Just substitute -2 for x in y = x + 3: y = -2 + 3 = 1. So the solution is (-2, 1).
Answer:
Solution of the system of equations
y = x + 3
x = –2 is:
(-2,1)
Step-by-step explanation:
We have to find the solution of the system of equations:
y = x + 3
x = –2
Solution means values of x and y
x= -2
Putting it in equation y=x+3
⇒ y= -2+3
⇒ y= 1
Hence, solution of the system of equations
y = x + 3
x = –2 is:
(-2,1)
Abby used the law of cosines for KMN to solve for k.
k2 = 312 + 532 – 2(31)(53)cos(37°)
Law of cosines: a2 = b2 + c2 – 2bccos(A)
What additional information did Abby know that is not shown in the diagram?
mK = 37° and n = 31
mK = 37° and k = 31
mN = 37° and n = 31
mN = 37° and k = 31
Answer:
mK = 37° and n = 31
Step-by-step explanation:
its A of ed.
Answer:
A is the answer
Step-by-step explanation:
Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point.
What is the measure of angle 2?
25°
42°
46°
88°
Answer:
Second option.
Step-by-step explanation:
The angle [tex](3x+17)\°[/tex] and the angle [tex](4x-8)\°[/tex] are alternate exterior angles, then they are congruent. So we can can find "x":
[tex]3x+17=4x-8\\17+8=4x-3x\\x=25[/tex]
Then, the angle [tex](4x-8)\°[/tex] is:
[tex](4x-8)\°=(4(25)-8)\°=92\°[/tex]
You can observe that the angle identified in the figure attached as "3" and the angle 46° are Alternate interior angles, then they are congruent.
Since the sum of the measures of the angles that measure 92°, 46° and the angle "2" is 180°, we can find the measure of the angle "2" by solving this expression:
[tex]92\°+46\°+\angle 2=180\°\\\\\angle 2=180\°-92\°-46\°\\\\\angle 2=42\°[/tex]
Answer:I agree that 46 is correct
Step-by-step explanation:
Which function could be a stretch of the exponential decay
function shown on the graph?
f(x) = 2(6)
f(x) = 1/2(6)
f(x) = 2[1/6]
f(x) = 1/2[1/6]
Answer:
(x) = 2(1/6)^x
Step-by-step explanation:
To easily solve this problem, we can graph each option using a graphing calculator, or any equation plotting tool.
Case 1
f(x) = 2(6)^x
Case 2
f(x) = 1/2*(6)^x
Case 3
f(x) = 2(1/6)^x
Case 4
f(x) = 1/2*(1/6)^x
By looking at the pictures below, we can tell that the correct option is
Case 3
f(x) = 2(1/6)^x
Since the stretch is done by a factor of 2
two cars start to drive around a 2 km track at the same time. car x make one lap every 80 seconds while car y makes one lap every 60 s
(a)how long will it take for the cars to be at their starting point again? give your answer in minutes.
(b)how long will it take to the faster car to be ahead by 15 laps? give your answer in hours.
Answer:
20 minutes
Step-by-step explanation:
Both will meet again at start point after LCM(60,80) seconds.
That is 240 seconds.
in time slower car completes one lap, faster one covers 1 +20/80 lap, that is 1.25 laps. After 20 laps faster by slower car car will be 5 laps ahead, time =20*60 = 1200s = 20 minutes.
hope it help
Round 0.625 to the nearest hundredths
0.625 rounded to the nearest hundredth is 0.63
2 is in the hundredths place, and since the next number is 5 the 2 is rounded up one number giving you 0.63
The Nolansky family has saved $360 as a down payment for a new computer. If x is the monthly payment for one year, the expression $12x + $360 represents the total cost of the computer. Factor this expression
Answer:
$504
Step-by-step explanation:
since there is 12 months in a year , the family would pay 12$ a year.
12x12= 144
then since they paid a down payment of $360
360+144=504
so they would have paid $504
Answer:
After factorization of given expression we get 12( x + 30 ).
Step-by-step explanation:
Given:
Money Saved by Nolansky family for down payment = $ 360
x is the monthly payment for 1-year
Expression Representing the total cost of the computer = 12x + 360
To find: Factors of the given expression.
We need to factor the given expression. We do it by taking the common factor of both the term.
Consider,
12x + 360
= 2 × 2 × 3 × x + 2 × 2 × 2 × 3 × 3 × 5
= 2 × 2 × 3 × ( x + 2 × 3 × 5 )
= 12 × ( x + 30 )
= 12 ( x + 30 )
Therefore, After factorization of given expression we get 12( x + 30 ).
if x=3+2root2,find the value of xsquare+1/xsquare
Answer:
34.
Step-by-step explanation:
x = 3 + 2√2
x^2 = (3+2√)^2
= 9 + 8 + 12√2
= 17 + 12√2
x^2 + 1 /x^2
= (17 + 12√2)^2 + (1 / (17 + 12√2)
= 34.
A bird flies at an elevation of 10 feet. Which is closer to sea level than the bird?
a fish swimming at an elevation of –18 feet
a boy swimming at an elevation of –3 feet
a kite flying at an elevation of 30 feet
a bird sitting in a tree at an elevation of 12 feet
A boy swimming at an elevation of 3 feet below sea level. This is the answer because the boy is only 3 feet away from sea level while the bird is 10 feet away form sea level.
Answer:
B. A boy swimming at an elevation of –3 feet.
Step-by-step explanation:
We have been given that a bird flies at an elevation of 10 feet. We are asked to choose the elevation that is closer to sea level than the bird.
Let us find absolute value of each elevation.
A. A fish swimming at an elevation of –18 feet.
[tex]|-18|=18[/tex]
The fish is 18 feet away from sea level.
B. A boy swimming at an elevation of –3 feet.
[tex]|-3|=3[/tex]
The boy is 3 feet away from sea level.
C. A kite flying at an elevation of 30 feet.
[tex]|30|=30[/tex]
The kite is 30 feet away from sea level.
D. A bird sitting in a tree at an elevation of 12 feet
[tex]|12|=12[/tex]
The bird is 12 feet away from sea level.
Since the distance between the boy swimming and sea level is less than other distances, therefore, the boy is closer to sea level than the bird.
What is the value of p ?
Answer:
p = 35
Step-by-step explanation:
180 - 125 = 55
180 - 90 = 90
55 + 90 = 145
180 - 145 = 35
p = 35
Ricco bought bagels for 6 people. He bought enough for everyone to have two bagels. How many bagels did he buy?
Answer:
12
Step-by-step explanation:
6 people
2 bagels per person
This is a multiplication problem.
2 * 6 = 12
He bought 12 bagels.
if there is no real number solution to the quadratic equation x^2+2x+c=0 what is a possible value of c?
1
-2
0
3
Answer:
The possible value of 'x' is: 3.
Step-by-step explanation:
A polynomial has no real solutions when the discriminat is less than zero. Given the following polynomial: [tex]ax^{2} +bx+c = 0[/tex] the discriminant is given by: [tex]Discriminant = b^{2}-4ac[/tex]
In this case, a=1, b=2. By substituting those values:
[tex]Discriminant = 2^{2}-4(1)c[/tex] ⇒ [tex]Discriminant = 4-4c[/tex]
Given that the discriminant should be less tha zero, then 'c' must be greater than one.
In this case, the only possible value of 'x' is: 3.
Answer:
3
Step-by-step explanation:
Given
x² + 2x + c = 0 ← in standard form
with a = 1, b = 2 and c = c
If there are no real solutions then the discriminant
b² - 4ac < 0, that is
2² - (4 × 1 × c ) < 0
4 - 4c < 0 ( subtract 4 from both sides )
- 4c < - 4
Divide both sides by - 4, reversing the sign as a consequence
c > 1
Hence a possible value of c is 3
A bird is flying northeast. In the same time it flies 3/5 mile east, it flies 5/6 mile north. How many miles does the bird fly east for every mile it travels north.
Answer:
9/20 miles
Step-by-step explanation:
we know that
if the bird flies 5/6 miles north for -------------> 3/8 miles east
then
for 1 mile north------------------------------> X miles east?
X=(3/8)/(5/6)-------> 18/40-------> 9/20 miles
the answer is
9/20 miles
The bird flies 18/25 miles east for each mile travelled north.
The question is asking for the ratio of the distance a bird flies east to the distance it flies north. Given that the bird flies 3/5 mile east and 5/6 mile north, we can set up a ratio to express the distance flown east per mile flown north. This is a straightforward ratio problem, where we divide the distance east by the distance north to find the required ratio.
To find the number of miles the bird flies east for every mile it travels north, we can set up the following ratio:
Distance East / Distance North = (3/5) miles / (5/6) miles
To simplify this, we multiply by the reciprocal of the denominator, resulting in:
(3/5) * (6/5) = 18/25.
So, the bird flies 18/25 miles east for every mile it travels north.
The arena will also have a children’s assault course in one area. As part of this, a climbing structure needs to be built in the shape of a pyramid. Look at the diagram below.
What is the area of this shape?
m2
Answer:
Area of the shape is 21 m².
Step-by-step explanation:
From the given figure it is clear that the figure contains one square with edge 3 m and 4 congruent triangles with base 3 m and height 2 m.
The area of a square is
[tex]A=a^2[/tex]
[tex]A_1=(3)^2=9[/tex]
The area of square is 9 m².
The area of a triangle is
[tex]A=\frac{1}{2}\times base \times height[/tex]
The area of a triangle whose base is 3 m and height 2 m is
[tex]A=\frac{1}{2}\times 3 \times 2=3[/tex]
The area of a triangle is 3 m². So, the area of 4 triangles is
[tex]A_2=4 \times A=4\times 3=12[/tex]
The area of 4 triangles is 12 m².
The area of shape is
[tex]A=A_1+A_2=9+12=21[/tex]
Therefore the area of the shape is 21 m².
Two cars leave the same location at 2:00 P.M. If one
car travels north at the rate of 30 m.p.h. and the
other travels east at 40 m.p.h., how many miles apart
are the two cars at 4:00 P.M.?
A) 50
B) 100
C) 120
D) 140
Answer:
Step-by-step explanation:
twelve friends share 4 bread rolls equally what fraction of a bread roll does each friend get
Answer:
Each friend will get 1/3 of a bread roll.
4 bread rolls. and 12 friends.
So 4/12 = 1/3.
Hope it helps..........
Step-by-step explanation:
Answer:
1/3 is the answer.
Step-by-step explanation:
There are 12 people, and 4 bread rolls. Each person would therefore get
4 bread rolls/ 12 people, so each person would get 1/3 of a bread roll.
Solve for x.
Your answer must be simplified.
17r > -17
Hello :D
Answer:
[tex]\boxed{R>-1}[/tex]
The answer should have a negative sign.
Step-by-step explanation:
First, you do is divide by 17 from both sides of an equation.
[tex]\frac{17r}{17}>\frac{-17}{17}[/tex]
Then, you simplify and solve to find the answer.
[tex]-17\div17=-1[/tex]
[tex]\boxed{R>-1}[/tex], which is our answer.
I hope this helps you!
Have a great day! :D
Answer: [tex]r>-1[/tex]
Step-by-step explanation:
Given the inequality provided [tex]17r > -17[/tex], you need to solve for "r".
To do this, you can divide both sides of the inequality by 17. Then you get the following solution:
[tex]17r > -17\\\\\frac{17r}{17}>\frac{-17}{17}\\\\(1)r>(-1)\\\\r>-1[/tex]
Now, you can expressed this solution in Interval notation form.
Therefore, the solution of the inequality in Interval notation is:
[tex](-1, \infty)[/tex]
A system of equations has no solution. If y= 8x + 7 is one of the equations which could be the other equation?
y= 8x+7
y = 8x-7
y=-8x+ 7
y=-8x-7
Answer:
y = 8x - 7Step-by-step explanation:
If two equations are the same, then the system of equations has infinitely many solutions.
If two equations different only constant number, then the system of equations has no solution (coefficient at x in both equations is the same and coefficient at y is the same).
Therefore for y = 8x + 7 other equation is y = 8x - 7.
The circumference of a circle is 28x inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.
Answer:
14 in
Step-by-step explanation:
The circumference is given as 28x, but it should be [tex]28\pi[/tex]
Now, the formula for circumference of a circle is C = 2πr
Where C is the circumference (given as 28π) and r is the radius
Lets plug it in and find r:
[tex]C=2\pi r\\28\pi = 2\pi r\\r=\frac{28\pi}{2\pi}\\r=14[/tex]
THus, radius is 14 inches
How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C".
Using the law of sines we have:
[tex]\frac{sin(A)}{a} = \frac{sin(B)}{b}[/tex]
[tex]\frac{sin(113)}{15} = \frac{sin(B)}{8}[/tex]
Solving for B, we have:
[tex]sin(B)=0.4909[/tex]
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
b on edge
Step-by-step explanation:
Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed number. 3x/2 = 5
Answer:
x = [tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
We are given the following expression which we are to solve for x and give the answer in a mixed form of fraction:
[tex] \frac { 3 x } { 2 } = 5 [/tex]
Taking the denominator to the other side of the equation and multiplying it to get:
[tex]3x=10[/tex]
[tex] x = \frac { 1 0 } { 3 } [/tex]
Writing it in mixed number:
[tex] x = 3 \frac { 1 } { 3 } [/tex]
Final answer:
To solve the equation 3x/2 = 5, first multiply both sides by 2 and then divide by 3, resulting in x = 10/3, which is 3 1/3 as a mixed number.
Explanation:
To solve the equation given, 3x/2 = 5, one must isolate the variable x. This can be done by multiplying both sides by the denominator to cancel it out, followed by dividing by the coefficient of x. Here's the step-by-step calculation:
Multiply both sides by 2 to get rid of the fraction: 2 * (3x/2) = 2 * 5, which simplifies to 3x = 10.
Divide both sides by 3 to solve for x: 3x / 3 = 10 / 3, which simplifies to x = 10 / 3.
Express 10/3 as a mixed number: 10/3 is 3 1/3 because 3 goes into 10 three times with a remainder of 1.
This gives us the final answer in terms of a mixed number.
A box contains 7 plain pencils and 3 pens. A second box contains 3 color pencils and 3 crayons
One item from each box is chosen at random. What is the probability that a pen from the first
box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Box 1:
Number of pens = 3
Total number of items = pencils + pens = 7 + 3 = 10
Probability that a pen will be picked, P(Pen) = [tex]\frac{3}{10}[/tex]
Box 2:
Number of crayons = 3
Total number of items = color pencils + crayons = 3 + 3 = 6
Probability that a crayon will be picked, P(Crayon) = [tex]\frac{3}{6}[/tex]
P(pen from 1st box and crayon from 2nd box),
= P(Pen) x P(Crayon)
= [tex]\frac{3}{10}[/tex] x [tex]\frac{3}{6}[/tex]
= [tex]\frac{3}{20}[/tex]
WILL GIVE BRAINLIEST
What is the lateral surface area of a cone that has a slant height of 24 cm and a diameter of 10.5 cm? (Recall the formula LA=pi rl)
96 pi cm ^2
126 pi cm ^2
132 pi cm ^2
252 pi cm ^2
Answer:
Option B is correct.
Step-by-step explanation:
Lateral surface area of cone = π*r*l
where r is the radius and l is the height of cone.
We are given height = l 24 cm
and diameter d = 10.5 cm
we know that radius is half of diameter i.e,
r = d/2
=> r = 10.5/2
r = 5.25
Putting the values in the formula:
Lateral surface area of cone = π*r*l
Lateral surface area of cone = π*5.25*24
Lateral surface area of cone = 126 π cm^2
So, Option B is correct.
Answer: second option.
Step-by-step explanation:
We know that we can calculate the lateral surface area of a cone with this formula:
[tex]LA=\pi rl[/tex]
Where "r" is the radius and "l" is the slant heigth.
We know that the radius is half the diameter, then the radius of this cone is:
[tex]r=\frac{10.5cm}{2}\\\\r=5.25cm[/tex]
Since we know tha radius and the slant height, we can substitute values into the formula. Therefore, we get:
[tex]LA=\pi (5.25cm)(24cm)\\\\LA=126\pi cm^2[/tex]
Anita Alvarez sells clothing for Toddler’s Shop. Baby blankets sell for $29.99 after a markup rate based on cost of 109%. Find the markup.
Answer:
The markup is $2.48
Step-by-step explanation:
* Lets explain the problem
- There is a cost price we don't know it
- There is a selling price we know it
- There is a markup we want to find it
- The relation between the cost price , the selling price and the markup
is ⇒ selling price - cost price = markup
∵ The percentage of the selling price is 109%
∵ The percentage of the cost price is 100%
- That means the markup rate = 109% - 100% = 9%
∵ The selling price is $29.99
- Lets use the ratio to find the cost price
∵ selling price / cost price = selling price% / cost price%
∴ 29.99 / cost price = 109 / 100
- By using cross multiplication
∴ cost price × 109 = 29.99 × 100
∴ cost price × 109 = 2999
- Divide both sides by 109
∴ cost price = $27.51
∵ The markup = selling price - cost price
∴ The markup = 29.99 - 27.51 = $2.48
* The markup is $2.48
The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other leg.
Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
The variable z is directly proportional to x, and inversely proportional to y. When x is 4 and y is 13, z has the value 1.2307692307692. What is the value of z when x= 9, and y= 20
Answer:
Step-by-step explanation:
1.2307692307692.
The first step is to find the proportionality constant.
The formula is
z = kx/y
1.2307692307692 = k * 4/13 Multiply both sides by 13
1.2307692307692 * 13 = 4k
16 = 4*k Divide by 4
k = 16/4
k = 4
=================================
z = k*x/y
x = 9
y = 20
k = 4
z = 4 *9/20
z = 36/20
z = 1.8
Answer:
[tex]&\boxed{\text{1.800 000 000 0000}}[/tex]
Step-by-step explanation:
[tex]z \propto x\\\\z \propto \dfrac{1}{y}\\\\z \propto \dfrac{x}{y}\\\\z = k \left (\dfrac{x}{y} \right )[/tex]
Solve for k
[tex]\begin{array}{rcl}1.2307692307692& = & k\left (\dfrac{4}{13} \right )\\\\16.000000000000 & = & 4k\\k & = & 3.9999999999999\\\\z & = & 3.9999999999999\left (\dfrac{x}{y}\right )\\\end{array}[/tex]
Calculate the new value of z
[tex]\begin{array}{rcl}z & = & 3.999 999 999 9999 \left (\dfrac{9}{20}\right )\\\\& = &\boxed{\textbf{1.800 000 000 000}}\\\end{array}[/tex]
estimate the value of 9.9 smaller 2 x 1.79
What’s the answer ? Plz help
Answer:
Option C
Step-by-step explanation:
we know that
The solution of the system of inequalities is the shaded area above the dashed line y=4 and above the dashed line y=x
therefore
The system of inequalities is equal to
y>4
y>x
Graph the following piecewise function.
2
f(x)= x+3 if 4 < x <8
2x if x 28
2
The piecewise function can be graphed by graphing the two sub-functions, x+3 and 2x, separately for their defined ranges of x-values, with x+3 for 4 < x < 8 and 2x for x > 8, and combining them to form the complete graph of the piecewise function.
Explanation:To graph this piecewise function, you would start by separately graphing each sub-function, x+3 and 2x, within their defined ranges of x-values, with x+3 defined for 4 < x < 8 and 2x defined for x > 8.
For 4 < x < 8, plot the line y = x + 3, but only include the section of the line where x values are greater than 4 and less than 8. Keep in mind this will not include the points where x=4 or x=8.
Next, for x > 8, plot the line y = 2x, but this time only include the section of the line where x values are greater than 8. Ensure X=8 is excluded.
The two separate lines drawn are the graphical representation of the piecewise function f(x).
Learn more about Graphing piecewise functions here:https://brainly.com/question/40942486
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