Use the number line to represent all the solutions to the inequality -3(2j-11)>=8j-9.
Select a ray. Move the point on the ray to the correct place on the number line.
Answers
The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.
What is the solution to the given inequality?Given the inequality in the question;
-3( 2j - 11 ) ≥ 8j - 9
First, we simplify using distributive property.
-3( 2j - 11 ) ≥ 8j - 9
-3×2j -3×-11 ≥ 8j - 9
-6j + 33 ≥ 8j - 9
Next, move all terms containing j to the left and all constant to the right.
-6j + 33 ≥ 8j - 9
-6j - 8j ≥ - 9 - 33
-14j ≥ -42
Divide both sides by -14.
Note that, when multiplying or dividing both sides of an inequality by a
negative value, the inequality sign flips directions.
-14j/-14 ≤ -42/-14
j ≤ -42/-14
j ≤ 3
Therefore, The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.
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Related Questions
find the value of k for which the equation has equal roots x^2+(k+9)x+15=0
Answers
Answer:
k=-9±2√15
Step-by-step explanation:
For the above quadratic to have equal roots then it's discriminant b²-4ac must equal 0
By comparing x²+(k+9)x+15=0 with ax²+bx+c=0,a=1,b=k+9 and c=15
(k+9)²-4(1×15)=0
k²+18k+81-60=0
k²+18k+21=0(factorize)
k=-9±2√15
(2a+b)/(2a-b)
/ - division sign
Answers
Answer:
WHAT ON EARTH
Step-by-step explanation:
If A and Bare independent events, which equation must be true?
Answers
If A and B are independent events, then P(A and B) = P(A)*P(B)
We multiply the probabilities of each separate event to find the probability of the compound event.
how many solutions does 10+5x/15=4 have
Answers
Answer:
3
Step-by-step explanation:
Standard form
1/3 x +6 = 0
Factorization
1/3 (x + 18) = 0
Solutions
x = -90/5 = 18
Use the discriminant to determine the number of real solutions to the quadratic equation.
70w2 - 12w + 1 = 0
What is the number of real solutions?
Answers
Answer:
There are two real and different roots
Step-by-step explanation:
The discriminant is given by b²-4ac
(-12)²-4(70×1)
144-280
136
Now 136>0
Let D = discrimination
Rules:
If D > 0, there are 2 real number solutions.
If D = 0, there is only 1 real number solution.
If D < 0, there are 2 imaginary solution.
Given 70w2 - 12w + 1 = 0, b = -12, a = 70 and c = 1.
D = b^2 - 4ac
D = (-12)^2 - 4(70)(1)
D = 144 - 280
D = -136
Our D value is less than 0.
Our case is D < 0.
This means the given quadratic equation has 2 imaginary solutions.
Please help! This is hard
Answers
Answer:
2 sorry if it’s wrong hope it helped
Step-by-step explanation:
Which number sentence matches a model with 9 balloons and 9 weights?
Which number sentence matches a model with 9 balloons and 9 weights?
9+0=99 plus 0 is equal to 9
9+(−9)=09 plus negative 9 is equal to 0
9+9=189 plus 9 is equal to 18
−9+(−9)=−18
Answers
The correct number sentence matches a model with 9 balloons and 9 weights is,
⇒ 9 + (-9) = 0
Here,
We have to find the number sentence matches a model with 9 balloons and 9 weights.
What is Mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Now,
Since, The balloons are in upward direction, so it take positive sign.
Hence, 9 balloons = +9
Since, The weight is are act in downward direction, so it take negative direction.
Hence, 9 weight = -9
Combine both we get;
9 + (-9) = 9 - 9 = 0
Therefore, The correct number sentence matches a model with 9 balloons and 9 weights is,
⇒ 9 + (-9) = 0
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On a map, 1 inch equals 25 miles. If two cities are 7 inches apart on the map, how far are they actually apart?
Answers
Answer:
175 miles
Step-by-step explanation:
7 x 25
Answer:
150 miles apart
Step-by-step explanation:
6×25=150 miles
What would this question look like after we change the mixed number to improper & use KCF to rewrite the question?
h) 3 1/2 divided by 1/3 =
A) 7/2 x 1/3
B) 7/2 x 3/1
C) 6/2 x 1/3
D) 7x3
Hurry !!
Answers
Answer:
The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
Step-by-step explanation:
We need to change the mixed number to improper & use KCF to rewrite the question.
The expression is: [tex]3\frac{1}{2}\div\frac{1}{3}[/tex]
First converting mixed fraction into improper fraction
Multiply whole number with the denominator i,e (3*2=6) now add the numerator i.e (6+1) = 7/2
Solving:
[tex]3\frac{1}{2}\div\frac{1}{3}\\=\frac{7}{2}\div\frac{1}{3}[/tex]
Using KCF
KCF stands fro Keep it, Change it, Flip it.
It is used when division sign is converted to multiplication the term (1/3) is reversed to (3/1)
So, our expression will be
[tex]=\frac{7}{2}\times \frac{3}{1}[/tex]
So, The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]
Option B is correct option.
Mia is 6.94944 x 10^6 minutes old. Convert her age to more appropriate units using years, months, and days. Assume a year has 365 days and a month has 30 days
Answers
Answer:
13yrs 4mths 26days
Step-by-step explanation:
13yrs 4mths 26days
If -1 2/3 is subtracted from 5 1/2, what will be the result?
a. negative
b. greater than 4
c. positive, but less than 4
d. equal to 4
Answers
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When subtracting a negitive number from a positive number the difference ends up being a positive. The answer is 7, therefore, greater than 4.
There’s 6/7 of a pizza. How many friends can I share if I give each 1/14 of pizza?
Answers
Answer:
12 (who has 12 friends?)
Step-by-step explanation:
make the fractions, I think its called a denominator, the same.
6/7 tums into 12/14
so if you give each friend 1/14 then you could feed 12 friends
this answer only works if you're not eating as well
what is the slope of the line y = -4?
Answers
The sum of three numbers is 104. The first number is 6 more than the second. The third number is 3 times the first. What are the numbers?
Answers
Answer:
Let A bc the first number
Let B be the second number
Let C be the third number
A= b+6
C= 3a
Step-by-step explanation:
Hope this helps :) Have a great day!!!!
(x2 +9) - (-7x2 – 3x + 9)
Answers
Answer:
8x²+3x
Step-by-step explanation:
Which transformations could have occurred to map ABC to A"B"C?
O a rotation and a reflection
O a translation and a dilation
O a reflection and a dilation
O a dilation and a rotation
Answers
Answer:
Reflection and a Dilation (I'm not too sure if this is correct hopefully it helps)
Step-by-step explanation:
Answer:
Step-by-step explanation:
a dilation and a rotation
I JUST TOOK THE TSET
Plz help me with this?!?! I will mark you brainliest!!!
Answers
Answer: 36
Step-by-step explanation:
At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Now, there is 1/3 less than that. How many ounces of peanut butter is in the pantry now?
wich one is correct
A)( 1 + 1 3 ) ⋅ 80
B)802 3 ⋅ 80
C)801 3 ⋅ 80
D)80-1/3
Answers
Answer:
c
Step-by-step explanation:
Can someone pls help me ?
Answers
-. A 6-foot-tall man is standing 50 feet from a flagpole. When he looks at the top of the flagpole,
the angle of elevation is 39º. Find the height of the flagpole to the nearest foot.
Answers
Answer:
The height of the flagpole is 46 feet
Step-by-step explanation:
First we find the ratio to connect the variables
Tan(∅) = opposite/adjacent
Plug in the Variables
Tan(39) = x/50
Solve for x
50*tan(39) = x
x = 40.48
Don't forget to include the man's height
40.48 + 6 = 46.48
How do I substract 7/10 minus 3/15
Answers
Answer: 0.5
Step-by-step explanation:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/10 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
10 = 2 × 5;
gcf (7; 2 × 5) = 1;
Answer:
First you have to find the common denominator
Next you take what you did to the bottom you gotta do to the top like if you 30 does into both them you multiple 3 times 2 cause you did that to 15 and multiply 7 times 3
Then you subtract
Step-by-step explanation:
At a local high school, 40% of the students drink soda regularly, 30% of the students drink coffee regularly, and 10% of the students drink both regularly. If a
student is randomly selected from this school, what is the probability that the student drinks soda or coffee regularly?
A. 70%
B. 20%
C. 80%
D. 60%
Answers
Answer:
c he is your answer dear friend♀️♀️
Probability that the student drinks soda or coffee regularly is 60%
Option D is correct
Percentage of students that drink soda regularly, P(s) = 40%
Percentage of the students that drink coffee regularly, P(c) = 30%
Percentage of students that drink both coffee and soda regularly,
P(s and c) = 10%
Percentage of students that drink coffee or soda regularly is:
P(s or c) = P(s) + P(c) - P(s and c)
P(s or c) = 40 + 30 - 10
P(s or c) = 70 - 10
P(s or c) = 60
Probability that the student drinks soda or coffee regularly is 60%
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What is the average rate of change from x = 1 to x = 5?
Answers
the average rate of change is two
so m=2
What are some examples of mathematical concepts which are very intuitive but difficult to prove mathematically?
No answer needed!
Answers
Answer: 2 * 2 = 4
Explanation: Thanks for the points !!
Tara is selling magazines for her school’s fundraiser. She wants to sell at least $360 in sales. Each magazine costs $4.50 and Tara has already sold $112.50 in sales. Which inequality below would represent this situation.
Answers
Answer:
1. Given gross salary is = $768
Federal tax withholding = $68
Social security = 6.2% or 0.062*765 = $47.43
Medicare tax = 1.45% or 0.0145*765 = $11.09
State tax = 22% or 0.22*68 = $14.96
Now net salary = gross salary - tax deductions
= $623.52 (option D)
2. = 17.13% (option D)
3. Option B.II and III
4. B.Checks are deposited in ATM's, so some retailers will not accept checks from a bank without ATM service.
5. B.Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.
6. D.Make purchases or get cash now, and pay back the bank in monthly payments.
7. A point of sale transaction occurs when an ATM withdrawal is made- yes this is right.
8. The answer is Thursday.
9. No picture given.
Step-by-step explanation:
Tom bought 2.1 pounds of each type of fruit shown on the sign. What was the total cost of the fruit he brought.
Answers
Answer:
Can I see the sign?
Step-by-step explanation:
Please I need help with this
Answers
Answer:
J
Step-by-step explanation:
x = the number of guests
y = the charges per guest
400 = the rental fee for the banquet
HOPE THIS HELPS <333333
-Silver
PLEASE HELP I WILL BRAINLIST PLEASE
Answers
Answer:
I pretty sure its B.
Step-by-step explanation:
What is the value of the 54.2-3.67
Answers
self explanatory.
Points..............