Answers
The inequality y >= 3x+2 is the shaded region composed of regions A and D which are above the positive sloped line.
The overlapping region is region D. This region is found in BOTH shaded solution sets of the two inequalities.
This is why region D is the final answer.
Related Questions
An elevator started on the ground floor. It went up 4 floors, down 4 floors, up 8 floors, and down 2. Which expression matches the scenario?
a= |+4|-|-4|-|+8|-|-2|
b= (+4)-(-4)-(+8)-(-2)
c= (+4)+(-4)+(+8)+(-2)
d= |+4|+|-4|+|+8|+|-2|
Answers
a and d are crossed off because the action of going up and down is adding and subtracting. Absolute values of any number is a positive. So b and c are left. Then b is crossed out because the is subtracting each value from another which affects the result. Negatives change signs. Positives don't. So you want an equation that sums up all individual values without affect the signs. Answer is C.
The correct mathematical expression for the elevator's movement of up 4, down 4, up 8, and down 2 floors is option c: (+4) + (-4) + (+8) + (-2).
The correct expression that matches the scenario where an elevator went up 4 floors, down 4 floors, up 8 floors, and then down 2 floors is (+4) + (-4) + (+8) + (-2). Let's break it down step by step:
The elevator first goes up 4 floors, which can be represented as +4.Then it goes down 4 floors, which is the opposite of going up, so we represent this as -4.Next, the elevator goes up 8 floors, which is +8.Finally, it goes down 2 floors, which is -2.By combining these, the expression becomes c= (+4) + (-4) + (+8) + (-2). This expression correctly reflects the elevator's movements up and down the floors.
How many different tax brackets are there in the United States currently?A.35 B.6 C.10 D.1
Answers
10% – up to $13,350
15% – $13,151 to $50,800
25% – $50,801 to $131,200
28% – $131,201 to $212,500
33% – $212,501 to $416,701
35% – $416,701 to $444,500
39.6% – more than $444,500
What are the subsets of the set {7, 8, 9}?
Answers
∅
{7}
{8}
{9}
{7,8}
{7,9}
{8,9}
{7,8,9}.
The subsets of the set {7,8,9} are explained below:
Given that,
The given set is {7,8,9}.We need to find the subset of the above set.Based on the above information, the subsets are as follows:
{} = empty set
{7,8,9}
{7}
{8}
{9}
{7,9}
{7,10}
{8,9}
Therefore the above are the subsets.
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mandy's school has 1300 girls. the ratio of boys to girls is 17:20. How many boys attend mandy's school
Answers
There are 1,105 boys attending Mandy's school.
To calculate the number of boys in Mandy's school, we use the provided ratio of 17:20, which corresponds to the number of boys and girls respectively.
With 20 parts equal to the 1,300 girls enrolled, one part equals 65 girls, and thus there are 17 parts representing boys. Multiplying 17 by 65 gives us 1,105 boys attending the school.
To apply this ratio, we'll perform the following steps:
Determine the total number of parts in the ratio. Since the ratio is 17 boys to 20 girls, 17 + 20 = 37 parts in total.Calculate the value of one part. Since there are 1,300 girls and they are represented by 20 parts one part equals 1,300 girls "/" 20 = 65 girls.Find the number of boys. Since each part represents 65 individuals and there are 17 parts representing boys, the number of boys is 17 * 65 = 1,105 boys.Therefore, there are 1,105 boys attending Mandy's school.Answer choices:
never
sometimes
not enough information provided to answer the question
always
Answers
P(A and B) means add A and B
if both A and B are both greater then 1/2
then when they are added they will always be greater than 1
The inequality of the most people that can be seated in the auditorium
Answers
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that [tex]x \ge 0[/tex] which is the same as saying [tex]0 \le x[/tex]
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have [tex]x \le 1200[/tex] indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get [tex]0 \le x \le 1200[/tex]
Note: if you haven't learned about compound inequalities yet, then the teacher may only want [tex]x \le 1200[/tex] as the answer.
My rectangular soccer field site has a length equal to three times its width. find its area in terms of its length x.
Answers
length = a units, and width= b units, has area: [tex]Area=a \cdot b=ab[/tex] (units squared)
In the rectangular soccer field, the length is x units, which may be meters, feet etc.
and the length is 3 times the width, so the width is just one third of the length, that is width= x/3
[tex]Area_{field}=width \cdot length= \frac{x}{3} \cdot x= \frac{ x^{2} }{3} [/tex] square units
Answer: [tex]\frac{ x^{2} }{3} [/tex] square units
One number is 6 less than a second number. twice the second number is 9 less than 5 times the first. find the two numbers
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Two planes that are initially 800 mi apart are flying directly toward each other. one flies at 250 mph and the other at 150 mph. how long will it be before they meet?
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Hope i could help and i hope i got it right....
-4(w+3)+5w what is this answer
Answers
w-12
A teacher had $57.72 in his checking account. He made a deposit of $209.54. Then he wrote a check for $72.00 and another check for $27.50. What is the new balance in his checking account?
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What are the equation(s) used to solve the absolute value equation below: |3x + 2| = 10
Answers
if 3x+2>=0 then
|3x+2|=3x+2=10==>3x=10-2==>3x=8==>x=8/3
else
|3x+2|=-(3x+2)=10 ==> -3x-2=10==>-3x=12==>x=-4
end if
What is the rule about significant figures when multiplying and dividing measurements?
Answers
ex - 587 x 45 = 26,415 --> 26,000 or 2.6 x 10^4
Is this a function? If so, write function in function notation. (0,-7), (1,-4), (2,-1), (-1,-10) Is this a function? Yes or No? If yes, write the equation.
Answers
[tex]\bf \{(\boxed{0},-7), (\boxed{1},-4), (\boxed{2},-1), (\boxed{-1},-10)\}\impliedby \begin{array}{llll} \textit{nope, no x-re} peats\\ \textit{it is indeed a}\\ function \end{array}[/tex]
so then, let's use two of those points ahemm let's see say (0, -7) and (2, -1)
so, what's the equation of a line that goes through (0, -7) and (2, -1)?
[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ -7}})\quad % (c,d) &({{ 2}}\quad ,&{{ -1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-(-7)}{2-0}\implies \cfrac{-1+7}{2-0} \\\\\\ \cfrac{6}{2}\implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-7)=3(x-0)\implies y+7=3x \\\\\\ y=3x-7[/tex]
A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. what is its area in square feet
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The population of Columbus, Ohio in 2014 was about 823,000. The population of the United States was 319 million in 2014.
About how many times larger was the population of the United States than the population of Columbus, Ohio?
Please show how you got answer.
Answers
what’s 2/5+3/4+1/2 in simplest form
Answers
the mix number is 1 13/20
First, let's find the LCD of the denominators. (5, 4, and 2)
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
4, 8, 12, 16, 20
5, 10, 15, 20
Now we have to change all of the numerators to match the denominators.
Since 5 goes into 20 four times..
2 x 4 = 8
8/20
Since 4 goes into 20 five times...
3 x 5 = 15
15/20
Since 2 goes into 20 ten times...
1 x 10 = 10
10/20
Our new fractions are..
8/20+15/20+10/20=?
Now just add the numerators.
33/20
If you want to simplify it to a mixed number, your answer is 1 13/20
If you want to keep it as a fraction, it's already in simplest form. So the answer is 33/20
Hope this helps! :)
Tell which number is prime: 19, 28, 49, 63.
Answers
28 is not prime: 7 x 4 = 28
49 is not prime: 7 x 7 = 49
63 is not prime: 3 x 21 = 63
hope this helps
Answer:
The number 19 is the prime number.
Step-by-step explanation:
Consider the provided number.
Prime number: A prime number is a whole number which is greater than 1 and the factors of the number are 1 and itself.
The prime factorization of the provided numbers are:
19 = 1×19
28 = 2×2×7
49 = 7×7
63 =7×9
Here 19 is the only number having factors 1 and 19 which is itself.
Hence, the number 19 is the prime number.
5. A packet of razors and a bar of soap cost £5.50. If the soap costs £2.50 less than the razors, find the cost of each.
Answers
cost of razors = x + 2.5
total cost = 2x + 2.5
2x + 2.5 = 5.5
2x = 3
x = 1.5
cost of razors = 1.5 + 2.5
= 4
The cost of the packet of razors and bar of soap is £4.00 and £1.50 respectively.
R-s=2.5
Adding both
2r=8
R=4
S=5.5-4=1.5
Why do you think it might be useful to rearrange formulas before solving for one of the variables
Answers
Answer:
It’s easier to find the solution to a variable when that variable is by itself on one side of the equal sign. Rearranging formulas before substituting values for each variable makes calculations more straightforward. With this approach, we only need to perform operations such as multiplication, division, addition, and subtraction on one side of the equal sign, and we simplify instead of solving by using the properties of equality.
Step-by-step explanation:
Translate into a numerical expression.
seven less than the product of eleven and the reciprocal of nine.
Answers
To translate the sentence 'seven less than the product of eleven and the reciprocal of nine' into a numerical expression, you would write '11*(1/9) - 7'.
Explanation:The sentence 'seven less than the product of eleven and the reciprocal of nine' can be translated into a numerical expression as follows:
Firstly, identify the main operations in the sentence. In this case, you have a product (multiplication) and a less than (subtraction) operation. The phrase 'the product of eleven and the reciprocal of nine' will be translated as 11*(1/9), since the reciprocal of nine is one over nine or (1/9).
Next, the 'seven less than' part indicates a subtraction operation. So, the complete numerical expression would be written as '11*(1/9) - 7'.
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Which row in the chart correctly identifies the functions of structures A, B, and C? *
(has to no more than one option)
Row 1
Row 2
Row 3
Row4
Thx so much :)
Answers
Structure B is used to (1) extract energy from nutrients. The mitochondria is the power house of the cell.
Structure C is used for (1) protein synthesis. The golgi apparatus is where protein is created.
The correct row in the chart that identifies the functions of structures A, B, and C is Row 3. In Row 3, A is responsible for photosynthesis, B transports water and nutrients, and C provides structural support.
Explanation:The correct row in the chart that identifies the functions of structures A, B, and C is Row 3.
In Row 3, A is identified as the structure responsible for photosynthesis, which is the process by which plants convert sunlight into energy. B is identified as the structure that transports water and nutrients from the roots to the rest of the plant, and C is identified as the structure that supports the plant and provides structural stability.
Is the remainder supposed to be this big of a number? Did I mess something up?
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Side Note: you also have the correct quotient as well
Find the sum of the polynomials below: (7x8 + 3x - 3) + (4x8 + 2x + 5)
Answers
+4x^8+2x+5
=11x^8+5x+2
Please help!! I'm giving brainliest!!Suppose the number of students who prefer classical music is 64. What would be the relative frequency? Round the answer to two decimal places if needed.
(1 point)
A.0.64 B.0.25
C.0.09
D.0.11
Answers
Rock I would say is about 200 people. Country, 100, Rap, 255, Classical, 64 as said before, and Blues, 80.
So if we add these all up we can find the total students.
200 + 100 + 255 + 64 + 80
699
Now the relative frequency is how many times something appears in a group.
Classical appears 64 times in about 700 people.
So, 64/700, is closest to the 0.9 selection.
Answer:0.9
Step-by-step explanation:
test
State two pairs of angles that are congruent. Justify your answer.
Answers
Hope this helps!
tom is 4 more than twice andrews age. sara is 8 less than 5 times andrews age. if tom and sara are twins, how old is andrew?
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how to convert 1500 ml to liters
Answers
1500/1000 = 1.5
Conversion of 1500 mL to liters is 1.5 liters.
To convert 1500 mL to liters, follow the strategy for conversions. You are starting from mL, which is a smaller unit, and want to find out how many liters this is equivalent to, with liters being the larger unit.
Firstly, we know that 1 liter is equivalent to 1000 milliliters. Since we are converting from a smaller unit to a larger unit, you will need to divide the number of mL by 1000. Therefore:
1500 mL / 1000 = 1.5 liters.
You will need to move the decimal point 3 places to the left because there are 3 zeros in 1000. So, the final step to convert 1500 ml to liters is to simply divide 1500 by 1000, which gives us 1.5 liters.
What is the square root of 120 rounded to the nearest hundredths?
Answers
Answer:
The value of the square root of 120 is 10.95
What is square root ?
Square root of the number is the factor that we can multiply by itself to get that number .
If square of a number is equal to another number than we can write
m = n²
And after taking root to both side
√m = √n²
We can cancel the square with root and
√m = n
We know the prime factor of 120
120 = 2x2x2x3x5
So the square root of 120 will be
√(2x2x2x3x5)= 2 √(2x3x5)
= 2 √(30)
And we know the value of √(30) = 5.477
Root of 120 = 2x5.477
= 10.95
Hence , the square root of 120 is 10.95 .
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The permiter of a triangle is 100 feet. the longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. find the lengths of the sides of the triangle
Answers
longest side be ' l '
and the third side be ' t'
P = s + l + t
P = 100
l - 3 = 2s
l = 2s + 3--- the longest side is 3 feet less than twice the shortest side
t= 7 + s ---- the third side is 7 feet longer than the shortest side
sub in (2s + 3) for l and (7 + s) for t
P = s + l + t
P = s + 2s + 3 + 7 + s
P = 100
100 = s + 2s + 3 + 7 + s
100 = 4s + 10
4s = 100 - 10
4s = 90
s = 90/4
s = 22.5
P = s + l + t
100 = 22.5 + l + t
100 - 22.5 = l + t
77.5 = l + t
from the previous equation we know l = 2s + 3
we'll plug in l into 77.5 = l + t
77.5 = 2s + 3 + t
we know s = 22.5
77.5 = 2(22.5) + 3 + t
77.5 = 48 + t
t = 77.5 - 48
t = 29.5
l = 2s + 3
l = 2(22.5) + 3
l = 48
the lengths are 22.5, 29.5 and 48