Answer:
{-9,-8,-7,-6,-5,-4} [ List method ]
or
{x: x ε Z where x>-10 and x<-3} [Set builder form]
Step-by-step explanation:
Z represents Integer
The numbers are -9,-8,-7,-6,-5,-4. [ list method ]
The set of all numbers greater than -10 and less than -3 are represented in set-builder notation as {x: x ∈ Z⁻, -10 < x < -3} and the set of numbers are
How to write the set-builder notation for a given data?The set notation consists of symbols like ': - such that', '∈ - belongs to', ' <, >, ≤, ≥', and all these are enclosed in flower braces. The Capital letter that is used in this represents the category or the set to which the given values are related. A variable is used for representing the given set of data values.
Writing the set-builder notation for the given values:It is given the set of numbers that are greater than -10 and less than -3.
Since they are negative integers, so all the required numbers also belong to the same category of numbers.
So, it is represented by Z⁻
Then, the set builder notation is
{x: x ∈ Z⁻, -10 < x < -3} and
The set is {-9, -8, -7, -6, -5, -4}
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What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x
Answer:
d. 2x^2-8x
Step-by-step explanation:
ure just doing distributive property.
The product of 2x(x-4) is 2x² - 8x
HOW TO OPEN BRACKET?In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.
According to this question, we are given the following expression: 2x(x-4)
This means that 2x multiples x and -4 independently.
That is; 2x × x and 2x × -4
2x² - 8x
Therefore, the product of 2x(x-4) is 2x² - 8x.
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Find the area of the equilateral triangle
Answer:
An equilateral triangle can be defined as a special type of triangle whose all the sides and internal angles are equal. In an equilateral triangle, the measure of internal angles is 60 degrees.
Step-by-step explanation:
Answer this y’all I pray y’all answer this please
Answer:
A) a(x^2+ b/a x)+ -c
Step-by-step explanation:
Answer:like the first person it is option 1
Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same
Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.
Step-by-step explanation:
Club A can be represented by the equation y = 23x + 7 where x is the number of months and y is the cost.
Club B can be represented by the equation y = 16x + 35 where x is the number of months and y is the cost.
23x + 7 = 16x + 35 set the equation equal each other to solve for x
-7 -7
23x = 16x + 28
-16x -16x
7x= 28
x= 4 now we know the value of x is 4 so we will put it into the equation and solve for y
y= 16(4) + 35
y= 99
Calculate:|a|−|b|+|c|, if a=−8; b=−5; c=1
Answer:
The answer is 4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
|x| just means positive x so the equation turns into 8-5+1
8-5 = 3
3+1 = 4
Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.
Answer:
P 140 units
A 1200 units^2
Step-by-step explanation:
The length of the rectangle is 20 to -20 = 20 - -20 = 40 units
The width of the rectangle is 20 to -10 = 20 - -10 = 30 units
The perimeter is given by
P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units
The area is given by
A = lw = 40*30 = 1200 units^2
What are the solutions of 3x2 - x + 7 = 0?
Answer:
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184
Step-by-step explanation:
3x2-x+7=0
Two solutions were found :
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i
Math homework, don't get it please explan!
Answer:
-1/2
Step-by-step explanation:
The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!
PLZ I NEED HELP ASAP
Evaluate 5/6 ÷(a+b) for a= 1/2 and b=− 2/3 . Record the answer in the simplest form.
Answer:
-5
Step-by-step explanation:
make the decimals have the same bottom by mutiplying by 3 in the top and the bottom. and not adding the bottms to make 12 instead stay at 6. Add. then you can easliy divide from there. using the keep change flip.
Answer:
-5
Step-by-step explanation:
make the decimals have the same bottom by multiplying by 3 in the top and the bottom. and not adding the bottoms to make 12 instead stay at 6. Add. then you can easily divide from there. using the keep change flip.
Find the center and the radius of the circle with the equation:
x2 + 2x + y2 - 2y - 14 = 0
Answer:
B
Step-by-step explanation:
edg 2021
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
The interquartile range (IQR) of the data in the given box plot is: 3.
What is the Interquartile Range (IQR) of a Data?In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.
Upper quartile = 7Lower quartile = 4Interquartile range (IQR) = 7 - 4
Interquartile range (IQR) = 3
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Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,
[tex]d(t)=-\frac{1}{4}t+2[/tex]
Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
[tex]d(t)=-\frac{1}{4}t+4[/tex]
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
In the diagram of circle A, what is m angle LMN?
О 75°
O90°
О 120°
135°
ОО
Answer:
90
Step-by-step explanation:
Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)
ARC LN = 360 - 270 =90
LMN = 1/2(270 -90)
= 1/2 (180)
= 90
Answer:
90
Step-by-step explanation:
Calculate the probability for the following situation, then select the correct answer:
You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card less than 10 (assume the ace is equal to 1) from the deck?
Choose one
19.23%
17.31%
15.38%
The correct answer is not provided.
Answer:
17.31%
Step-by-step explanation:
1/2 * 1/2 *9/13
50% chance to get heads, 50% chance to get an odd number, 9/13 odds to get a number less than 10 (1, 2, 3, 4, 5, 6, 7, 8, 9).
Answer:
15.38%
Step-by-step explanation:
If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91
Answer:
C.) $6,584.91
Step-by-step explanation:
Amount earned in compound interest = P(1 + r)^n;
where P is the principal,
r is the rate and n is the number of periods.
Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91
Answer:
C) 6584.91
Step-by-step explanation:
plato
In the figure a pair of parallel lines is cut by a transversal. What is the measure of angle c if the measure of angle b is 35 degrees?
Answer:
145
Step-by-step explanation:
There are a lot of ways to do this, the simplest is that c and b are two angles on a straight line which means they add up to 180
180-35= 145
Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).
Answer:
7/2 , -1/2
Step-by-step explanation:
Midpoint of line formula :
X1 + X2/ 2 , Y1 + Y2 / 2
= -2+9/2 , 0 - 1 / 2
= 7/2 , -1/ 2
The midpoint of the line segment with endpoints (-2,0) & (9,-1) will be (7 / 2, -1 / 2).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB.
Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints are given below.
(-2,0) & (9,-1)
Then the midpoint of the line segment with endpoints (-2,0) & (9,-1) will be
(x, y) = [(-2 + 9) / 2, (0 - 1) / 2]
(x, y) = [7 / 2, -1 / 2]
Thus, the midpoint of the line segment with endpoints (-2,0) & (9,-1) will be (7 / 2, -1 / 2).
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A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 160 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).
Pls Show Work
Answer:
Width of Pathway; 2 meters
Step-by-step explanation:
To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒
Increase length on one side * 2, if increased length / width ⇒ x, 2x
From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );
( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,
72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,
4x^2 + 36x - 88 = 0 ⇒ Factor,
4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,
x = 2, and x = - 11;
Now the width can only be a positive value, thus;
Solution; Width ⇒ 2 meters
The measure of PQR is 90°. Find the value of x.
Answer:
18 degrees
Step-by-step explanation:
Since the measure of PQR is 90 degrees, the two angles contained in it must add up to 90 degrees. Therefore:
19+2x+35=90
Combine like terms:
2x+54=90
Subtract 54 from both sides:
2x=36
Divide both sides by 2:
x=18
Hope this helps!
The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
Male
14
88
Female
2
Which two-way frequency table correctly shows the marginal frequencies?
Answer: the answer is B
Step-by-step explanation:
14+6 is 16. Add 88 to 16 and you get 104. 200-104=96.
The two-frequency table that correctly shows the marginal frequencies of the given data is: B.
What is a Marginal Frequency in a Two-way Frequency Table?In a two-way frequency table, the marginal frequency is simply the the sum of any one of the columns or rows in a data.
In table B, 14 + 6 equals 16, so also does 88 + 16 = 104. Subtract 104 from 200, and you have 96.
Therefore, table B correctly shows the marginal frequencies.
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Camila has x quarters and y dimes. She has no less than 20 coins worth no more
than $4 combined. Solve this system of inequalities graphically and determine one
possible solution.
Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. She wants to increase the area to 168 ft by increasing
the width and length by the same amount, X.
Which equation can be used to find x?
Answer:
Increasing both by the same amount of 2
Step-by-step explanation:
10 times 12=120,
and 11 times 13=143,
but 12 times 14 =168
An equation is formed of two equal expressions. The equation that can be used to find the value of x is x²+22x-168=0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. Now, she needs to increase the area by 168 ft, that too by increasing the width and length by the same amount. Therefore, the equation can be written as,
[tex](10+x) \times (12+x) = (10 \times 12) + 168\\\\120 + 10x+ 12x +x ^2 = 120+168\\\\120 + 22x+x^2=120+168\\\\x^2+22x-168 = 0[/tex]
Hence, the equation that can be used to find the value of x is x²+22x-168=0.
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The question is in the screenshot attached. Thank you!
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
Will give brainliest answer
Answer:
[tex]31.5units^2[/tex]
Step-by-step explanation:
The shape shown above can be split into 2 triangles and 1 rectangle.
The formula for a triangle:
[tex]A=\frac{1}{2} bh[/tex]
The formula for a rectangle:
[tex]A=lw[/tex]
Area of triangle (both have the same lengths so you can just double the area):
[tex]A=\frac{1}{2} (3)(3.5)\\A=5.25[/tex]
Area of rectangle:
[tex]A=(7)(3)\\A=21[/tex]
Add the individual areas together to get the overall:
5.25 + 5.25 + 21 = 31.5
Find the area. Will mark brainliest.
Answer:
21 sq ft :) 20 characters long
find the equation of the line in slope-intercept form that has
slope = -1/2 y-intercept = 6
Part B: what is the correct answer
x = 1
x = 2
x = 3
x = 4
Answer:
hard idk your awesome tho
Step-by-step explanation:
bdvewhjdbqw,
DescriptionIn mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
Am I right
What’s this answer?
Answer:
x=2, y=1
Step-by-step explanation:
The left and right sides are equal
7x-2 = 5x+2
Subtract 5x from each side
7x -5x-2 = 5x-5x+2
2x-2 = 2
Add 2 to each side
2x -2+2 = 2+2
2x = 4
Divide by 2
2x/2 = 4/2
x =2
The top and the bottom are the same length
6x+y = 7x-1
6(2) +y = 7(2)-1
12 +y = 14-1
Subtract 12 from each side
12 +y-12 = 13-12
y = 1
The slopes of perpendicular lines are
A. equal
B. negative reciprocals
C. reciprocals
D. opposites
Answer:
B: Negative Reciprocals.
