Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.
Answers
Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅
Related Questions
hich of the relations given by the following sets of ordered pairs is not a function? {(5,2),(4,2),(3,2),(2,2),(1,2)} {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)} {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}
Answers
{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .
• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.
• Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.
Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}
No two ordered pair have the same value of x coordinate. So it is a function.
Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}
Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.
Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}
No two ordered pair have the same value of x coordinate. So it is a function.
Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}
No two ordered pair have the same value of x coordinate. So it is a function.
Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.
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Which equation represents the line that passes through the points (4, 6) and (−2, −1)?
Answers
Find the slope first by using rise/run
[tex]m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}[/tex]
[tex]y=mx+b\\y=\frac{7}{6}x+b[/tex]
We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).
Substitute x = -2 and y = -1 in the equation.
[tex]-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}[/tex]
Thus the y-intercept is 4/3.
From y = mx+b, the equation is.
[tex]y=\frac{7}{6}x+\frac{4}{3}[/tex]
A student answered 86 problems on a test correctly and receives a grade at 98% how many problems were only test if all the problems were worth the same number of points( round to the nearest whole number)
Answers
Answer:
88 questions
Step-by-step explanation:
86/0.98 = 87.755
pls mark brainliest :D
The histogram represents the distribution of the number of seconds it took for each of 50 questions to find the answer to a trivia question the internet. which interval contains the median.
Answers
The interval that contains the median 25.5 is
(5 - 10)
What is a median?The median is the value that's exactly in the middle of a dataset when it is ordered.
We have a histogram as given below.
We need to make a table of class intervals and their frequency:
class interval frequency
0-5 22
5-10 5
10-15 9
15-20 9
20-25 5
25-30 1
We also need to find the cumulative frequency.
class interval frequency cumulative frequency
0-5 22 22
5-10 5 22 + 5 = 27
10-15 9 27 + 9 = 36
15-20 9 36 + 9 = 45
20-25 5 45 + 5 = 50
25-30 1 50 + 1 = 51
Now,
The number of questions = 50 ( even number)
Median:
= (50 + 1) / 2
= 51 / 2
= 25.5
We need to select the cumulative frequency where it is greater than the median.
So we have 27 which is at the interval (5 - 10).
Thus the interval that contains the median 25.5 is (5 - 10)
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who else is bummed that the exam has 50 questions on edge
Answers
Answer: ME
Step-by-step explanation:
.William sold half of his comic book collection and then purchased 10 more . He now has 24 comic books period how many books did William begin with?
Answers
Answer:
28 books
Step-by-step explanation:
Let x represent the number of books .William owned before anything happens
x/2 + 10 = 24
2(x/2 + 10) = 2(24)
x + 20 = 48
x = 48 - 20
x = 28
Answer:
28
Step-by-step explanation
subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps
ASAP PLZ HELP WILL MARK AS BRAINLSIT
Answers
Answer:
9
Step-by-step explanation:
18/2=9
A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on a point on the floor near the main entrance door . The camera's horizontal distance of 26 feet from the the focus point on the floor.How high above the floor is the camera Round your answer to the nearest hundredth.
Answers
Answer:
8.95feet
Step-by-step explanation:
The set up is a right angled triangle where;
The camera's horizontal distance from the focus point = 26feet = Adjacent;
The height of the camera above the floor = Opposite = x
Angle of elevation = 19°
According to TOA in trig identity;
Tan theta = opp/adj
Tan 19 = x/26
x = 26tan 19
x = 26(0.3443)
X = 8.95feet
Hence the camera is placed at a height of 8.95feet above the floor
Graph a line that contains the point (-5,-3) and has a slope of -2
Answers
Given:
The line contains the point (-5,-3) and has a slope of -2.
To find:
The graph of the line.
Solution:
The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-3)=-2(x-(-5))[/tex]
[tex]y+3=-2(x+5)[/tex]
[tex]y+3=-2x-10[/tex]
Subtracting 3 from both sides, we get
[tex]y=-2x-10-3[/tex]
[tex]y=-2x-13[/tex]
So, the equation of line is [tex]y=-2x-13[/tex].
Putting x=0, we get
[tex]y=-2(0)-13[/tex]
[tex]y=0-13[/tex]
[tex]y=-13[/tex]
It means, the line also passes through (0,-13).
Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.
Therefore, the graph of given line is shown below.
some birds migrate 20,000 miles. if 1 mile equals 1.6 km, calculate the distance these birds fly in km
Answers
If 1 mile equals 1.6 km, the distance these birds fly is 32000km.
Here we have,
Total miles = 20,000
Given, 1 mile = 1.6 kilometer
Thus, total km travel = 20000 x 1.6
Total km travel = 32000 km
A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement.
Thus, some bird species travel 20,000 miles. These birds travel 32000 kilometers if a mile is equal to 1.6 kilometers.
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Mr. John has $800 to be shared in the ratio of 5:3 what amount would each receive
Answers
Answer:
500:300
Step-by-step explanation:
first add the ratios 5+3=8
then divide by 800
800÷8=100
now,
it's 500:300 .
hope I helped!
Answer: 500 : 300 because here Step-by-step explanation: Ratio Division Formula Rr = Rn × M : Rd × M Ratio Division Values Rn = 5 Ratio Numerator Rd = 3 Ratio Denominator Rs = Rn + Rd Rs = 5 + 3 Rs = 8 Ratio Sum a = 800 Amount to Divide M = a ÷ Rs M = 800 ÷ 8 M = 100 Multiplier Ratio Division Calculation Rr = Rn × M : Rd × M Rr = 5 × 100 : 3 × 100 Rr = 500 : 300
Easy math problems!!!!!
Answers
Answer:
We can use the Pythagorean theorem to solve this:
The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:
c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.
Now that we have an equation we can solve:
c^2=8^2+8^2
c^2=64+64
c^2=128
Since there is no perfect square for 128 we need to put in in simplest radical form
c=√128
Find a number that has a perfect square and multiplies by another number to equal 128
c=√64 x 2
This can be rewritten as so:
c=√64√2
Now for the last step find another perfect square for 64 and have it outside the square like so:
c=8√2
There is no perfect square for 8 so this is in simplest radical form
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
What does the point (1, 3) represent on the graph?
image
A.
It shows for every 1 item produced the revenue is $3.
B.
It shows that for every 3 items produced the revenue is $1.
C.
It shows that for every 300 items produced the revenue is $100.
D.
It shows that the revenue is a constant rate of $1.
Answers
Answer:
A
Step-by-step explanation:
Assuming that items are on the x axis and revenue is on the y axis we can predict that for every 1 item produced the revenue is $3.
Technically speaking you can write the coordinate point as:
(1 item, 3 dollars in revenue)
Therefore, letter A would be correct.
I hope this helps!!
- Kay :)
We can say that any of the two given conditions are true -
It shows for every 1 item produced the revenue is $3.It shows that the revenue is a constant rate of $1.What is the general equation of a Straight line?The general equation of a straight line is -y = mx + c
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis
Other possible equations of line are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a the point (1, 3) represent on the graph.
Assume that we represent the item produced is mentioned along the [x] - axis and revenue generated is along the [y] - axis. Since, the graph is not given, we can assume that any one of the given condition is true -
It shows for every 1 item produced the revenue is $3.It shows that the revenue is a constant rate of $1.Therefore, we can say that any of the two given conditions are true -
It shows for every 1 item produced the revenue is $3.It shows that the revenue is a constant rate of $1.To solve more questions on straight line, visit the link below-
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Suppose milk is selling for 87.5¢ per litre. How many litres can you buy with $20?
Answers
The liters of milk litres you can buy with $20 is mathematically given as
v=22.8571L
How many litres can you buy with $20?Question Parameter(s):
Suppose milk is selling for 87.5¢ per litre
Generally, the equation for the Volume of milk is mathematically given as
1=87.5c
v=20,00c
Therefore
v=2,000/87.5
v=22.8571
In conclusion, volume of milk
v=22.8571L
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Help plz.......... thx :)
Answers
Answer:
2 . 2 . 2 . 2 . 2 . 2, 4 . 16, 8 . 8
Step-by-step explanation:
2 times itself 6 times
read it again it says all that applies
Answer:
It is the one with the purple outline, and then the rest in that column
. A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party. The table
below shows the cost of hosting a private party for a certain number of guests.
Total Cost of Hosting a Private Party
Number of Guests Total Cost
(dollars)
10
250
20
400
30
550
40
700
50
850
How much does the restaurant charge for a private party with 45 guests?
Answers
Answer:
42
Step-by-step explanation:
i said so
The restaurant charge 775 $ in total for a private party with 45 guests.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the total number of guest is x;
and, the Total Cost of Hosting a Private Party be y;
here it is given that :
A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party then, this van be shown in linear equation as :
y = 15x + 100
Now, for 45 number of guests that is x = 45, then y will be :
y = 15x + 100
y = 15 x 45 + 100
y = 675 + 100
y = 775 $
Thus, the restaurant charge 775 $ in total for a private party with 45 guests.
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I need help ASAP!!!!
Answers
B= 84
A = 62
C= 34
Calculating Object's Height A boulder sitting on the edge of a cliff has 15,500 J of gravitational potential energy and a mass of 500 kg. Determine the height above Earth's surface that the boulder rests. P.E. = mass × 9.8 (gravity) × height
Answers
The height above Earth's surface that the boulder rests is 3.16m.
What is Gravitational acceleration ?Gravitational acceleration can be defined as the acceleration of any object when the object is in free fall. or we can say that the gravitational acceleration is the quantity which describes the acceleration of free falling object within vacuum. It is denoted by g .
What is Potential Energy ?Potential energy is the stored energy of the object which is generally based on the relative position of the various parts of the object. It is also known as gravitational energy.
Formula of potential energy :
PE = mgh
where, PE = gravitational energy / potential energy
m = mass of object
g = gravitational acceleration
h = vertical height of object
According to question given:
PE = 15500J
m = 500kg
g = 9.8
As PE = mgh
therefore, h = PE / mg
i.e. h = 15500 / (500)(9.8)
h = 3.16m
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44 - (2c + 3) = 4(c + 5) + c
solve the equation
Answers
Step 1: 44 - 2c - 3 = 4(c + 5) + c
When there is a in front of an expression in parentheses, change the sign of each term in the expression
Step 2: 44 - 2c - 3 = 4c + 20 + c
Distribute through the parentheses
Step 3: 41 - 2c = 4c + 20 + c
Subract the numbers
Step 4: 41 - 2c = 5c + 20
Collect the terms
Step 5: 41 - 2c - 5c = 20
Move variable to the left-hand side and change its sign
Step 6: -2c - 5c = 20 - 41
Move constant to the right-hand side and change its sign
Step 7: -7c = 20 - 41
Collect the terms
Step 8: -7c = -21
Calculate the difference
Lastly: Divide both sides of the equation by -7
c=3
15 total kids were at the park. 6 of them were girls. What % of the kids were girls?
Answers
Answer:
40%
Step-by-step explanation:
6/15 = 0.4
0.4 * 100 = 40%
Answer:
40%
Step-by-step explanation:
Since there are 15 total kids and 6 of them are girls, we can write this question as the fraction 6/15.
6/15 is 0.4 and to get the percent you would multiply by 100%.
Therefore the answer is 40%
Which matrix represents the system of equations?
3x + 5y = −9
x + 5y = 16
Answers
[20+(2.5x3)]-27 please help lol
Answers
Answer:
0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
[20 + (2.5 × 3)] - 27
Step 2: Evaluate
[Brackets - Parenthesis] Multiply: [20 + 7.5] - 27[Brackets] Add: 27.5 - 27Subtract: 0.5Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help
Answers
Answer:
8.9Step-by-step explanation:
[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]
Does 2/7 =11/37 because idk
Answers
Answer:
no. i do not think so.
Step-by-step explanation:
Answer: If you were to do the butterfly trick 7x11=77 and 2x37=74 so no they are not equal
Step-by-step explanation:
Draw a grid using a scale of 0 to 10 on the ×-axis and 0 to 5000 (with interval of 500) on the y-axis and plot a graph based on ur table
Answers
The graph based on table is drawn in picture.
What is grid?A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.
What is grid graph?A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.
In the question given,
scale on x-axis is 0 to 10 with the interval of 1
thus, points on x axis are 0,1, 2, 3, ----,10
scale on y-axis is 0 to 5000 with the interval of 500
thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000
The grid graph is shown in picture .
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can a smart person that is godly at geometry help me answer these four questions please? i will give you a virtual fake dollar and hug :)
Answers
Answer:
one dollar!?!??
Step-by-step explanation:
giiiiiirrrrrl u funny
(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?
Answers
The limit of the function as the variable n tends to minus infinity is -1. Option C is correct
Limit of a functionGiven the limit of a function expressed according to the equation;
a(n) = 6n²-n-3n³/3n³+n-1
The value of the function if n tends to minus infinity is expressed as show:
a(n) = 6n²-n-3n³/3n³+n-1
Divide both all the terms by n³
a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³
a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)
a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)
a(n) = -3/3
a(n) = -1
Hence the limit of the function as the variable n tends to minus infinity is -1
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This is slope pt 2 pls help there is 3 more
Answers
Answer:
Slope is -7/4
Which of the following are examples of irrational numbers? Select all that apply.
A. [tex]\sqrt{4} +\sqrt{16}[/tex]
B. [tex]\sqrt{5} + \sqrt{36\\}[/tex]
C. [tex]\sqrt{9} +\sqrt{24}[/tex]
D. [tex]2*\sqrt{4}[/tex]
E. [tex]\sqrt{49} *\sqrt{81}[/tex]
F. [tex]3\sqrt{12\\}[/tex]
Answers
The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)
Which numbers are irrational numbers?
Irrational numbers are a subset of real numbers that are not rational numbers, rational numbers comprises integers and non-integers. In this case, square roots are one of the most known cases of irrational numbers. Now we proceed to check if each choice represents indeed an irrational number by algebraic handling:
Case A
√4 + √16 = 2 + 4 = 6
Case B
√5 + √36 = √5 + 6
Case C
√9 + √24 = 3 + √(6 × 4) = 3 + 2√6
Case D
2√4 = 2 × 2 = 4
Case E
√49 × √81 = 7 × 9 = 63
Case F
3√12 = 3√(3 × 4) = 6√3
The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)
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[tex]8 + y = x[/tex]