The correct representation of the given set using the listing method is {2, 3, 4, 5}. The second option is correct.
The set {x | x I, 2 ≤ x ≤ 5} can be represented using the listing method.
Here, the set consists of all values of x that satisfy the condition 2 ≤ x ≤ 5. The values of x within this range are 2, 3, 4, and 5.
Therefore, the set can be represented as:
{2, 3, 4, 5}
This set includes all the values of x that are greater than or equal to 2 and less than or equal to 5, as indicated by the condition 2 ≤ x ≤ 5.
The elements listed in the set are 2, 3, 4, and 5, and no other values are included.
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Please help ASAP!!!!
Answer:
A. [tex]x=6[/tex] or [tex]x=1[/tex]
Step-by-step explanation:
The given function is:
[tex]y=x^2-7x+6[/tex]
When y=0; we have:
[tex]x^2-7x+6=0[/tex]
[tex]x^2-6x-x+6=0[/tex]
Factor by grouping:
[tex]x(x-6)-1(x-6)=0[/tex]
[tex](x-6)(x-1)=0[/tex]
Either [tex](x-6)=0[/tex] or [tex](x-1)=0[/tex]
Either [tex]x=6[/tex] or [tex]x=1[/tex]
A classroom is 24 metres long and 21 metres wide. Find the area of the classroom
Answer:
504 m²
Step-by-step explanation:
21 m * 24 m = 504 m²
So, the answer is 504 m²
The formula for the area of a rectangle is:
Length × Width
OR
L × W
In this case...
L = 24 m
W = 21
^^^Plug these numbers into the formula for the area of a rectangle
24 × 21
504
The area of this class room is 504 [tex]m^{2}[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
Look at the figure. Classify the pair of angles: <4 and <5.
Answer:
Option B
same-side interior angles
Step-by-step explanation:
Given in the question, two non parallel lines a and b.
The area between lines a and b is called the interior of the two lines.
Angles 4 and 5 are same-side interior angles.
Other options are wrong because:
A)The area which not between lines a and b is called the exterior
C)Corresponding angles are on same side of the traversal line.
Example
Angles 1 and 5
D)Alternate interior angles are in interior region but in opposite side of traversal line.
Example
Angles 3 and 5
Javier has been saving for a digital camera. He finds one on sale for $67.50. It usually costs $90.00. What is the percent of the discount?
A: 20%
B: 25%
C: 30%
D: 35%
Answer:
B: 25%
Step-by-step explanation:
$90.00 - $67.50 = $22.5
$22.5 / $90 = 0.25 = 25%
Answer:
B: 25%
Answer:
25%
Step-by-step explanation:
Share £35 in ratio 2:3
Which of the following is equal to the rational expression when x doesn’t equal 1 or -1? 5(x-1)/(x+1)(x-1) please help
Answer:
Final answer is [tex]\frac{5}{(x+1)}[/tex].
Step-by-step explanation:
Given expression is [tex]\frac{5\left(x-1\right)}{(x+1)(x-1)}[/tex] where x doesn’t equal 1 or -1. Now we need to find about which of the given choices is equal to the given rational expression. Choices are missing but we can still solve this problem.
[tex]\frac{5\left(x-1\right)}{(x+1)(x-1)}[/tex]
cancel out common factors from top and bottom.
[tex]=\frac{5}{(x+1)}[/tex]
Hence final answer is [tex]\frac{5}{(x+1)}[/tex].
Answer:
5/x+1
Step-by-step explanation:
Solve 2sin2(x) – 5sin(x) – 3 = 0. Let u = sin(x). Which of the following is equivalent to the given equation?
Answer:
(2u + 1)(u – 3) = 0 is equivalent to the given equation
For the second part of the question, the solutions to the equation are C and D, 7π/6 +2kπ and 11π/6 + 2kπ
Step-by-step explanation:
What is the value of x?
Answer:
17 1
3
Step-by-step explanation:
= 675+ 3 x = 53
100 8 4
------------------------- × 1000
6,750+ 375x = 13,250
375x = 6,500
x = 6,500 = 260 = 52 = 17 1
375 15 3 3
Kiran bought 6 yards of ribbion for $3.90 . which ratio is proportional to 6 yards at $3.90 ?
The lowest proportion would be 1 yard at .65¢
We can get this by dividing $3.90 by 6, since we divided 6 by 6 to get 1.
Answer:
any option which has 0.65 as a unit rate
Step-by-step explanation:
since 3.90/6=0.65
divide the $ by the amount of fabric and you should get 0.65, if u get 0.65 thats ur answer
hope this helps!
solve by factoring
p² + 16p +64 = 0
i like highkey don’t know how to do this
Answer:
-8
Step-by-step explanation:
When you factor, you just find two numbers that add to be the first number (16) and multiply to be the second number (64). 8 and 8 both do this. So when we factor, we also add the variable into each equation because it also has been divided into two equations, and we get: (p + 8)(p +8). Notice that the equations are "+8" and not "-8" because two +8s add to give us a +16 and multiply to give us a +64. After that, we just solve the two equations to find the solutions. Subtract 8 from each equation (we do the opposite operation because 8 is positive) to get -8. Because the answer for each equation is the same our answer is -8.
Answer:
That factors into:
(p +8) * (p +8) =0
Therefore, p = -8 and p = -8
Step-by-step explanation:
Write parametric equations of the line y=4x-5
Answer:
A set of parametric equations for the line y = 4x - 5 is;
x = t
y = 4t - 5
Step-by-step explanation:
To find a set of parametric equations for the line y = 4x - 5;
We can assign either variable x or y equal to the parameter t, in this case we can easily let x = t
We then substitute x = t in the original equation;
y = 4t - 5
Therefore, a set of parametric equations for the line y = 4x - 5 is;
x = t
y = 4t - 5
What is the value of a in the equation 3a+b=54 , when b=9 ?
Use substitution method
3a+9=54
3a+9-9=54-9
3a= 45
divide by 3
3a/3= 45/3
a= 15
Answer is a= 15
Answer:
a = 15
Step-by-step explanation:
3a + b = 54
3a + 9 = 54
3a + 9 - 9 = 54 - 9
3a = 45
3a divided by 3 = 45 divided by 3
a = 15
3 x 15 + 9 = 54
45 + 9 = 54
54 = 54
Rita's hourly wage increased from $7.50 to
$8.25. What was the percent of increase?
A. 10%
B. 75%
C. 100%
D. 107.5%
Answer:
A. 10%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
The new number is the increased wage, $8.25, and the old number is the original wage, $7.50.
percent change = ($8.25 - $7.50)/($7.50) * 100%
percent change = ($0.75)/($7.50) * 100%
percent change = 0.1 * 100%
percent change = 10%
Since the percent change is a positive number, it is a percent increase.
The percent increase was 10%.
Answer: A. 10%
3. Let's assume you purchase 100 shares of XYZ Company for $1 per share. After three months, the share price increases to $5. This means the value of the investment has increased from $100 to $500, for a capital gain of $____
Answer:
400
Step-by-step explanation:
The initial value of the investment is 100 *1 = $100
The final value of the investment after three months is 100 * 5 = $500
This means the value of the investment has increased from $100 to $500. The capital gain is the increase in the value of an investment;
500 - 100 = $400
ill give brainliest
When a system of equations appears on a graph, what are the characteristics of a system with one solution? No solution? Infinite solutions?
Answer:
One solution graph is when the graphs of the equations intersect, then there is one solution that is true for both equations.
One solution = lines intersect
No solution graph is when the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
No solution: lines are parallel
Infinitive solution graph is when the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Infinitive solutions: One line
Three families are sharing the cost of renting a canoe for 7 days. The cost for each family is $14 per day. What is the total cost of renting the canoe for 7 days from the rental shop?
Answer:
294
Step-by-step explanation:
so three family's and 14$ a day so
14*3=42
then take 42 and times it by how many days so 7
so 42*7=294
Find the value of x. Round to the nearest tenth
Answer:
16.2
Step-by-step explanation:
A trick to remember for right triangles is SOH-CAH-TOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Here, we have the side adjacent to the angle and the hypotenuse. So we should use cosine.
cos 22° = 15 / x
x = 15 / cos 22°
x ≈ 16.2
A survey was taken of 49 people to see if they watch basketball and/or soccer games on television. The results are shown in the Venn diagram.
Enter your answers in the boxes to complete the two-way table based on the given data.
Can someone help me please
Answer:
[tex]\begin{array}{cccc}&\text{Watch basketball}&\text{Don't watch basketball}&\text{Total}\\\text{Watch soccer}&7&12&19\\\text{Don't watch soccer}&17&13&30\\\text{Total}&24&25&49\end{array}[/tex]
Step-by-step explanation:
From the diagram you can see that
17 people watch only basketball;7 people watch both basketball and soccer;12 people watch only soccer;in total, 17+7+12=36 people watch some sports;so, 49-36=13 people do not watch sports.So, you can fill the table in following way
[tex]\begin{array}{cccc}&\text{Watch basketball}&\text{Don't watch basketball}&\text{Total}\\\text{Watch soccer}&7&12&19\\\text{Don't watch soccer}&17&13&30\\\text{Total}&24&25&49\end{array}[/tex]
Answer:
dude was right but heres photo proof
Step-by-step explanation:
7. The coordinates of the vertices of a rectangle are go
I by
R(-3,-4), E(3, 4), C(4,4), and T(4-4). Plot these points
on the coordinate plane at the right and connect them to
draw the rectangle. Then connect points E and T to form
diagonal ET.
a. Use the Pythagorean Theorem to find the exact
length of ET.
b. How can you use the Distance Formula to find the
length of ET? Show that the Distance Formula gives
the same answer
Answer:
a. By Pythagorean Theorem: [tex]ET=\sqrt{113}[/tex]
b. By Distance Formula: [tex]ET=\sqrt{113}[/tex]
Step-by-step explanation:
The given rectangle has vertices R(-3,-4), E(-3, 4), C(4,4), and T(4-4).
The points have been plotted on the coordinate plane as shown in the attachment.
a. Using the Pythagoras Theorem;
[tex]ET^2=EC^2+CT^2[/tex]
We substitute the side lengths to obtain:
[tex]ET^2=7^2+8^2[/tex]
[tex]ET^2=49+64[/tex]
[tex]ET^2=113[/tex]
Take positive square root to obtain:
[tex]ET=\sqrt{113}[/tex]
b. The distance formula is given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The endpoints of ET are at E(-3,4) and T(4,-4).
Using the distance formula;
[tex]ET=\sqrt{(4--3)^2+(-4-4)^2}[/tex]
[tex]ET=\sqrt{(7)^2+(-8)^2}[/tex]
[tex]ET=\sqrt{49+64}[/tex]
[tex]ET=\sqrt{113}[/tex]
I will mark brainliest
Find the length of AC if AB is 8, BC is 13, and B is between A and C?
Answer:
21
Step-by-step explanation:
Since B is between A and C, we can simply add 8 and 13 to get the length of AC becauswe B is on line AC. This gives us 8+13 or 21 as the distance between A and C.
A and C is 6 because 2 sides have to be bigger than the other
What is the slope and y-intercept of this line?
y = –3x + 9
slope: 9, y-intercept: –3
slope: 3, y-intercept: –9
slope: –3, y-intercept: 9
slope: 1, y-intercept: –3
Answer:
C
Step-by-step explanation:
y=mx+b
b= y-intercept
m=slope
m=-3
b=9
[tex]\huge\boxed{Slope=-3,\;Y\;intercept=9.}[/tex]
___________________________________________________________
[tex]\boxed{Explanation}[/tex]
y=mx+b.
m is always where the slope is located.
b is always where the y intercept is located.
Therefore, since -3 is located at m that is the slope and 9 is located at b so that is the y intercept.
Find the value of x in the figure. Please Explain
A)34.9
B)55.1
C)90
D)124.9
Answer:
90 because it’s a right angle and a right angle it 90 degrees
The two angles make up a right angle.
This means the two angles are complementary and need to equal 90 degrees.
X = 90 - 55.1 = 34.9
Describe in your own words the characteristics of linear equations that determine whether a system of linear equations will be Intersecting, Parallel, or Coincident? (2 points, 0.5 for clarity of response, 0.5 for each type of system (intersecting, parallel, and coincident)).
Step-by-step explanation:
i) An intersecting system of linear equations
A system of linear equations comprises of two or more linear equations. Linear equations are simply straight line equations with a given slope and a unique y-intercept .
Solutions to systems of linear equations can be determined using a number of techniques among them being;
Elimination method
Substitution method
Graphical method
The graphs of a system of linear equations will intersect at a unique single point if the lines are not parallel.
An example of intersecting system of linear equations;
y = 2x -5 and y =5x + 4
The two lines will intersect at a particular single point since the slopes are not identical. The attachment below demonstrates this aspect.
ii) A parallel system of linear equations
Two lines are said to be parallel if they have an identical slope but unique y-intercepts. Parallel lines never intersect at any given point since the perpendicular distance between them is always constant.
Thus a parallel system of linear equations has no solution. An example of parallel system of linear equations;
y = 3x - 4 and y = 3x + 8
The attachment below demonstrates this aspect.
iii) A coincident system of linear equations
A system of linear equations is said to be coincident if the two straight lines are identical. That is the lines have an identical slope and y-intercept. Basically, we are just looking at the same line. Two parallel lines can also intersect if they are coincident, which means they are the same line and they intersect at every point.
Therefore, this system of linear equations will have an infinite number of solutions.
help me im timed i cant figure it out
For this case we have to find the inverse of a function, follow the steps below:
Replace f (x) with y.We exchange the variables.We solve for "y".Finally we change y by [tex]f ^ {- 1} (x)[/tex]Then, it is observed that of option 3:
[tex]f (x) = 4x[/tex]
Replace [tex]f (x)[/tex]with y:
[tex]y = 4x[/tex]
We exchange the variables:
[tex]x = 4y[/tex]
We solve for "y":
[tex]4y = x\\y = \frac {x} {4}[/tex]
Finally we change y by [tex]f ^ {- 1} (x):[/tex]
[tex]f ^ {- 1} (x) = \frac {x} {4}[/tex]
Answer:
The correct option is C
Answer:
It's the third choice.
Step-by-step explanation:
f(x) = y = 4x
x = 1/4 y
Change the y to x:
so the inverse g(x) = 1/4 x.
It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?
Answer:
120 miles
Step-by-step explanation:
we know that
The speed is equal to the distance divided by the time
Let
s------> the speed in mph
d-----> the distance in miles
t -----> the time in hours
s=d/t
solve for the distance
d=s*t
It will take Adam four hours to drive to Disney Park
s=x mph
t=4 h
substitute
d=4x -----> equation A
It will take Adam 2.5 times less time if driving 45 mph faster
so
s=(x+45) mph
t=4/2.5=1.6 h
substitute
d=1.6(x+45) -----> equation B
equate equation A and equation B
4x=1.6(x+45)
Solve for x
4x=1.6x+72
4x-1.6x=72
2.4x=72
x=30 mph
Find the distance d
d=4x -----> d=4(30)=120 miles
Answer:
120 miles
Step-by-step explanation:
1. If tan θ= -8/15 and if the terminal point determined by θ is in quadrant II, find cscθ sinθ+ tan θ.
Since
[tex]\csc(x)=\dfrac{1}{\sin(x)}[/tex]
we have
[tex]\csc(x)\sin(x)+\tan(x) = \dfrac{1}{\sin(x)}\cdot \sin(x)+\tan(x)=1+\tan(x)[/tex]
And since
[tex]\tan(x)=\dfrac{8}{15}[/tex]
we have
[tex]1+\tan(x) = 1-\dfrac{8}{15}=\dfrac{15}{15}-\dfrac{8}{15}=\dfrac{7}{15}[/tex]
The value of cscθ sinθ + tan θ is 7/15.
What is the relationship between cscθ and sinθ?cscθ is the reciprocal of sinθ.
We can find the value of the given expression below:The expression is given by cscθ sinθ + tan θ.
We can simplify this expression before solving it.
Let the expression be y = cscθ sinθ + tan θ.
cscθ = 1/sinθ
y = sinθ * 1/sinθ + tan θ
y = 1 + tan θ
The value of tan θ is given as -8/15.
We can substitute this above:
y = 1 + tan θ
= 1 - 8/15
= (15-8)/15
= 7/15
The value of the expression cscθ sinθ+ tan θ is found to be 7/15.
Therefore, the value of cscθ sinθ + tan θ is 7/15.
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What are the coordinates of the image of vertex G after a
reflection across the line y= x?
(4,-5)
(4,5)
(-5, 4)
(5, 4)
Answer:
(- 5, 4)
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y) → (y, x)
Hence
G(4, - 5) → G'(- 5, 4)
If the vertex G is reflected across the line y= x, the resulting coordinate will be (-5, 4)
Reflection of coordinate
Reflection creates a mirror image of each other. If the coordinate (x, y) are reflected across the line y = x, the resulting coordinate is (y, x)
Given the coordinate G(4, -5). If the vertex G is reflected across the line y= x, the resulting coordinate will be:
G(4, -5) = G'(-5, 4)
Note that the coordinate points are only interrchanged
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During the past seven weeks Diego spent between $11 and $17 for lunch each week
Answer:
c
Step-by-step explanation:
11+17 x 7=130
x=130
130 is bigger than 120 but smaller than 180
Beijing has 20.720.720, point, 7 million people and an area of 16,400\text{ km}^216,400 km 2 16, comma, 400, space, k, m, start superscript, 2, end superscript. Shanghai has 23.723.723, point, 7 million people and an area of 6300\text{ km}^26300 km 2 6300, space, k, m, start superscript, 2, end superscript. How many times as great is the population density of Shanghai as Beijing?
Answer:
The population density of Shanghai is 2.98 times greater than the population density of Beijing
Step-by-step explanation:
we know that
To find the population density, divide the total number of people by the area
step 1
Find the population density of Beijing
[tex]\frac{20,700,000}{16,400}=1,262.2\frac{people}{km^{2}}[/tex]
step 2
Find the population density of Shanghai
[tex]\frac{23,700,000}{6,300}=3,761.9\frac{people}{km^{2}}[/tex]
step 3
Divide the population density of Shanghai by the population density of Beijing
[tex]3,761.9/1,262.2=2.98[/tex]
therefore
The population density of Shanghai is 2.98 times greater than the population density of Beijing