Determine whether the ordered pair is a solution of the linear inequality.
x ≤ 3; (–2, 6)
Answers
Answer:
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Step-by-step explanation:
Given the linear inequality
x ≤ 3
substitute the value of x = -2
-2 ≤ 3
TRUE
It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.
Also,
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Related Questions
complete the table for values y= 2x+ 3
Answers
Answer:
There should be a table with the values of x to find Y or vice versa, it depends.
Step-by-step explanation:
it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?
for example, if you are given x as 2 then, to find Y will be:
Y =2(2) + 3
Y = 7
pls help :( i’ll give brainliest
Answers
Answer:
x=12; Converse of conrresponding angles postulate
Step-by-step explanation:
On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:
8x-17=5x+19
Solve
X=12
The converse used was the Converse of Corresponding Angles Postulate
The line that passes through (2, 4) and (0, 8) can be expressed by which of the following
Answers
Answer:
The first one and the second one
Step-by-step explanation:
I hope that this helped
PLEASE HELP ME I NEED THIS ALOT!
1 . Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
Please help i'm really stuck on these questions!! :(
Answers
1. Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
120e/1h
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
105e/1h
if each value of the data of the poplation function is doubled which of the following is not correct?
A. the mean is doubled
B. the mode is doubled
C. the variance is doubled
D. the median is doubled
Answers
Answer:
The variance is doubled; C
Step-by-step explanation:
Here, we want to select what will be wrong if every number in the dataset is doubled
A. This is correct
The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers
By doubling the numbers, we have simply doubled the sum while the count is same
So what we have as the result of the division will be 2 times what we had initially making the mean doubled
B. The mode is doubled
Yes, this is correct
The mode is the highest in frequency
Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled
D. The median is doubled
This is correct
The median deals with the middle number.
Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly
C. This is wrong
The variance has to do with the spread of data
We are actually subtracting values
Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change
We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.
help me 20 POINTS
math math math by the way do questions 10 and 13 on page 176
Answers
Answer:
Step-by-step explanation:
12.
13. Yes it is propoitinal because they are even
Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?
Answers
(10 divided by p)
8–2(x + 10) = 4.-6
What is the value of x?
Answers
do you need the work?
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
Answers
Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.
Answers
Answer:
i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Step-by-step explanation:
Tickets numbers are: 4, 5, 6......48, 49
So, total tickets in box = 46
We need to find probability that the number on the ticket is:
i) an even number.
Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Total number of favourable outcomes = 23
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 23
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]
So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) A number less than 16
Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15
Total number of favourable outcomes = 12
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 12
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]
So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) a perfect square
Perfect squares are: 4,9,16,25,36
Total number of favourable outcomes = 5
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 5
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]
So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) a prime number less than 30.
Prime numbers less than 30 are: 5,7,11,13,17,19,23,29
Total number of favourable outcomes = 8
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 8
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]
So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?
Answers
Answer:
Slope is rate of change, so define your values.
-$100 is the initial fee
-$70 is charged per month
per month is the constant rate of change
70 is the slope
The slope (rate of change) of the function is 70.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
Verizon charges a $100 initial contract fee,
then $70 a month for a basic cell phone plan.
Let the x be the number of months.
So, the equation,
y = 70x + 100
By comparing with the slope-intercept form,
y = mx + b, where m is the slope.
So, m = 70.
Therefore, 70 is the slope.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
The graphs of y= ‐4x and y= ‐4x+2 are shown. Use the drop-down menus to complete the statements.
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the solutions of x^2 - 2x + 10 = 0?
Answers
Answer:
C. x = 1 + 3i or x = 1 - 3i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 2x + 10 = 0
Step 2: Identify Variables
a = 1
b = -2
c = 10
Step 3: Find roots
Substitute [Quad Formula]: [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents: [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply: [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract: [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor: [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify: [tex]x=\frac{2\pm6i }{2}[/tex]Factor: [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide: [tex]x=1\pm3i[/tex]Florida is bordered by water on three sides. Which property of water helps moderate Florida’s coastal areas?
low specific heat, which results in fast, large changes in water temperature
high specific heat, which results in fast, large changes in water temperature
low specific heat, which results in slow, small changes in water temperature
high specific heat, which results in slow, small changes in water temperature
Answers
Answer:
high specific heat, which results in slow, small changes in water temperature
Step-by-step explanation:
Got it right on edge
Answer:
D. high specific heat, which results in slow, small changes in water temperature
Step-by-step explanation:
got it right on edge
Help please!
Thank you!
Answers
Answer:
81
Step-by-step explanation:
y= x²
if x= 9 substitute x with 9 in the equation
y= 9² = 81
Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25
Answers
Answer:
its D/ 56.25
Step-by-step explanation:
because the other numbers are too small
for geometry help thanks <33
Answers
Answer:
12
Step-by-step explanation:
Mke y the subject of the formula.
w=x^2-2yz
Answers
Answer:
W = x^2 - 2yz / - w
0 = x^2 - 2yz - w / +2yz
2yz = x^2 - w // 2z
y = (x^2 -w ) / 2z
So correct answer is D
The 6 students
10,8,14,7,13,12. Find the mean and median round to the nearest tenth
Answers
Answer:
median is 10 or 12 and the mean is 10.6
Step-by-step explanation:
7, 8, 10, 12, 13, 14
у = 4х – 1
у = 2х – 5
How do you solve this, by using substitution?!
Answers
Answer:
x = -2, y = -9
Step-by-step explanation:
You can substitute the value of y into y. The first equation shows that y is equal to 4x -1, so we can switch this with the y in the second equation.
y = 2x -5 will become
4x - 1 = 2x - 5
Add 5 to both sides
4x + 4 = 2x
Subtract 4x from both sides
4 = -2x
Divide both sides by -2
-2 = x
Now we plug this number into an equation to find y.
y = 4x - 1 becomes
y = 4(-2) - 1
Simplifying it, we have:
y = -8 - 1
y = -9
7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist
Answers
Answer: 11/12
Step-by-step explanation:
7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:
7/12 + 4/12 = 11/12
11/12 is in simplest form, so that should be correct! Hope this helps! :)
Step-by-step explanation:
Hi so are we dating?????
11. What is the range of values of x for a triangle's third side given side measures
of 8 and 15 for the other two sides?
A) Between 8 and 15
B) Between 7 and 23
C) Less than 7, greater than 23
D) Between 8 and 23
Answers
Answer:
B
Step-by-step explanation:
:-)
Answer:
between 7 and 23
Step-by-step explanation:
pls help me solve this
Answers
Answer:
x=10
Step-by-step explanation:
Because BC is a mid segment
Answer:
10
Step-by-step explanation:
These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10
Solve: 7n + 5 = -44 HELPPPPPPPPPPP
Answers
Answer:
-7
Step-by-step explanation:
7n+5=-44
-5 - 5
7n=-49
7/7 -49/7
n = -7
Which expression gives the correct volume of the steps?
Math item stem image
CLEAR CHECK
4×4×1 cubic feet
(4×4×1)+(3×3×3) cubic feet
(4×4×1)+(3×3×1)+(2×2×1)+(1×1×1) cubic feet
(4×4×4)+(3×3×3)+(2×2×2)+(1×1×1) cubic feet
Answers
Answer:
(4×4×4)(3×3×3)(1×1×1) Cubic feet
Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”
Answers
Answer:
Step-by-step explanation:
i=prt
your p=30 dollars
rate is 10%
t=1 year
i=(30*0.01*1)=3
3 dollars
Can someone please help?!
Answers
Explanation:
Find the slope of the line.
I WILL MARK BRAINYLIST JUST HELP MEEE
Answers
Answer:
-1/3
Step-by-step explanation:
join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join
Please help will mark the brainliest
Answers
Answer:
y=-x-2 this is the answer
HEELLLPPP ILL GIVE BRAINLIEST
A tree casts a shadow 24ft long. A 6ft man casts a shadow 8ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?
Answers
Answer:
The answer would be 18 ft tall