Which graph shows the solution to the system of linear inequalities? Y< 1/3x-1 y<1/3-3
1) All values that satisfy y<1/3-1 are solutions
2) All values that satisfy y<1/3-3 are solutions
3) All values that satisfy either equations are solutions
4) There are no solutions
(Edge 2020)
Answers
The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a graph of inequalities, y < 1/3x-1 and y < 1/3-3
The solution of the inequality A is the shaded area below the solid blue line and the solution of the inequality B is the shaded area below the solid red line,
That means all the solutions of inequality B will satisfy the inequality A also.
Hence, The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
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Related Questions
A quadratic function, f(x), and its first differences are shown in the table.
Based on the values in the table, complete the statements.
The function is not linear; therefore, the are not constant.
Subtracting the first differences of –6 and –10 results in .
Subtracting the first differences of –2 and –6 results in .
Subtracting the first differences of 2 and –2 results in .
The second differences are .
Answers
Answer:
first differences,4,4,4,constant
Step-by-step explanation:
did on edge
Answer:
4
4
4
constant
Step-by-step explanation:
what is 3 1/4 as a improper fraction and decimal please answer asap i don't understand this :)
Answers
13/4 * 25/25 = 325/100 = 3.25
Improper fraction: 13/4
Decimal: 3.25
A store buys 5 sweaters for $50 and sells them for $130. How much profit does the store make per sweater?
Answers
Answer: $16
Step-by-step explanation:
Total Profit = $130 - $59
Tatol Profit = $80
Profit Per Seearter = $80 ÷ 5 =26
Answer:
The Profit is $16 per Sweater
Step-by-step explanation:
Please help will give brainliest.
Answers
Answer:
X is the side on the bottom, Y is on the left, and Z is the hypotenuse
Answer:
below vv
Step-by-step explanation:
You will have to draw 3 triangles, one for each question. Then, mark the longest side (the hypotenuse) the letters:
in 1. u
in 2. p
in 3. z
then mark the shorter sides
in 1. s and t
in 2. m and n
in 3. x and y.
Identify a pair of similar triangles
Answers
Answer:
its ADC and ADB
Step-by-step explanation:
they both have the triangle at the top so they are similar, they just arnt the same size
what is 2 1/4 divided by 4
Answers
Answer:
9/16 or 0.5625
Step-by-step explanation:
Answer:
9/16
Step-By-Step:
2 1/4 = 9/4
Just multiply the denominator by 4
9/4 x 4 = 9/16
A hat contains cards with different colors.
Annabella randomly selects a card from
the hat and returns the card to the hat
after noting the color. After randomly
selecting a card 300 times, she has picked
a purple card 70 times. Based on her
results, what is the estimated probability
that Annabella selects a purple card?
A 7/37 B 7/30 C 7/23 D 23/30
Answers
Answer:
B 7/30
Step-by-step explanation:
P (Purple) = 70 / 300 = 7/ 30
Answer:
B
Step-by-step explanation:
Purple-70/300=7/30
In a random sample 70 people, it was found that 44 of them were fans of NY Yankees. What is the margin of error for the true proportion of all individuals who are fans of the NY Yankees?
0.0088
0.058
0.063
0.116
0.173
What's the answer
Answers
Answer:
C
Step-by-step explanation:
44/70 which is about 0.063 Hope this helps :D Please mark brainliest
Answer:
Step-by-step explanation:
2x- y = -2
2x + 4y =8
Answers
Answer:
x=8
y=4
Step-by-step explanation:
Answer:
Your point would be: (0,2)
x = 0
y = 2
Step-by-step explanation:
This would be the case if you're looking for the point by solving with substitution, or any other methods, of the systems of equations.
In any case, you are looking to find either x or y first.
I will demonstrate with the 'y' value, since it is easier when cancelling out the 'x' value.
2x - y = -2
2x + 4y = 8
(I want to make one of the two equations negative, so that I can eliminate or cancel out the 'x' value(s)).
- (2x - y = -2) --> -2x + y = 2
2x +4y = 8
---------------------------------------
5y = 10
--- ---
5 5
------------
y = 2
(Reason for putting a negative in front of the equation '2x - y = -2' was made in order to eliminate the value(s) '2x' in both equation, and in order to do that, one equation must be negative, while the other is positive, for example:
x + 2y = 6
x + 3y = 5
(You can make any of these equations negative, but only one equation is needed to be negative for the value you want to cancel out,
DO NOT TRY AND CANCEL OUT BOTH X AND Y)
-(x + 2y = 6)
Turn into:
-x - 2y = -6
x + 3y = 5
---------------
y = -1
(Back to the Original Problem)
We now need to find the 'x' value(s):
4(2x - y = -2)
8x - 4y = -8
2x + 4y = 8
----------------
10x = 0
--- ---
10 10
----------------
x = 0
Your final answer will be:
(0,2)
EVALUATE 5•(X-3)=10
Answers
Answer: 5x-15=10
5x=25
x=5
Step-by-step explanation: i showed the steps above. i hope you can understand it and this helps :) *the very first step is to distribute the 5 to everything in the parentheses
Answer:
x=5
Step-by-step explanation:
5.(x-3)=10
5x-15=10
+15 +15
5x=25
Divide both sides by 5
x=5
Que es más gramos o miligramos ?
Answers
What is the perimeter of the triangle?
units
Answers
Answer:
Perimeter = 30
Step-by-step explanation:
hypotenuse = [tex]\sqrt{5^2+12^2}[/tex]
hypotenuse = [tex]\sqrt{25+144}[/tex]
hypotenuse = [tex]\sqrt{169}[/tex]
hypotenuse = 13
Perimeter = 5+12+13
Perimeter = 30
Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?
Answers
The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;
⇒ 3 : 4
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio is,
⇒ 30 : 40
Now,
When we dividing both sides by 10, we get;
Since, The ratio is;
⇒ 30 : 40
It can be written as;
⇒ 30 / 40
After dividing by 10, we get;
⇒ 30 / 40
⇒ (30 ÷ 10) / (40 ÷ 10)
⇒ 3 / 4
⇒ 3 : 4
Therefore,
The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;
⇒ 3 : 4
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PLEASE ANSWER! I’m a tad desperate..
Select the show of Pascal’s triangle to expand the binomial expression (2x^3 + 3y^2)^7
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
17 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
Have a wonderful day! If you decide to answer I appreciate you very much! ❤️
Answers
Answer:
1 7 21 35 35 21 7 1
Step-by-step explanation:
Pascal triangle is a mathematical expression that can be used to expand questions involving bracket, especially of high degree/ power. Example: [tex](a + b)^{9}[/tex] etc
For the given question, the Pascal triangle for the expansion is: 1 7 21 35 35 21 7 1
So that,
[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 1.[tex](2x^{3}) ^{7}[/tex] + 7.[tex](2x^{3}) ^{6}[/tex].[tex]3y^{2}[/tex] + 21. [tex](2x^{3}) ^{5}[/tex].[tex](3y^{2}) ^{2}[/tex] + 35.[tex](2x^{3}) ^{4}[/tex].[tex](3y^{2}) ^{3}[/tex] + 35. [tex](2x^{3}) ^{3}[/tex].[tex](3y^{2}) ^{4}[/tex] + 21. [tex](2x^{3}) ^{2}[/tex].[tex](3y^{2})^{5}[/tex] + 7.[tex](2x^{3} )^{1}[/tex].[tex](3y^{2} )^{6}[/tex] + 1.[tex](3y^{2}) ^{7}[/tex]
= 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] + 6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]
Therefore;
[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] + 6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]
Answer:
1, 8, 28, 56, 70, 56, 28, 8, 1
Step-by-step explanation:
Please answer! URGENT
Answers
Answer:
1/4
I hope this helps!
Answer:
Last option, D
Step-by-step explanation:
Its right. trust me
Question: State whether each table of values represents a function
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the values in the table represent a function only if there there is only 1 input for every output.
Given the table 1
x y
-12 2
-10 10
0 -2
5 -6
8 -11
15 -15
From the table, it is clear that for each input there exists a unique output.
i.e.
According to the given table,
y = 2 at x=-12
y = 10 at x=-1 0
y = -1 at x=0
y = -11 at x=8
y = -15 at x=15
From the table, it is clear that for each input x, it has a unique output y.
Hence, table 1 is a function.
Given the table 2
x y
9 -18
-20 0
-6 1
-17 16
9 17
11 19
This table does not produce a function, because the input x=9 produces two outputs.
i.e.
at x = 9, the y = -18
at x = 9, the y = 17
Therefore, the table 2 does not represent a function.
HELP will mark brainliest
Answers
Answer:
Kite and parallelogram
Step-by-step explanation:
The solution is where it is crossing. Whenever blue cross red, the shape there is correct. So the kite and the parallelogram.
Hope this helps plz mark brainliest :D
P and Q are sunsets of the universal set U={n:1<n<10} and n is an integer. P consists of even numbers less than 7 and Q consists of prime numbers less than 10. List the elements of a)P'uQ' b)P'nQ' c)(P'nQ')' d)(PuQ)'
Answers
Part A
Answer: P' u Q' = {3,4,5,6,7,8,9}---------------------------------
Work Shown:
The universal set here is U = {2,3,4,5,6,7,8,9} so we're listing all the integers between 2 and 9. We don't include 1 or 10 since n is larger than 1, and smaller than 10.
P = even numbers less than 7, subset of U
P = {2,4,6,8}
P ' = {3,5,7,9}
Note how the set P' is the set of everything in U that is not in set P. It's the opposite of set P. We call this the complement of set P.
Q = prime numbers less than 10, subset of U
Q = {2,3,5,7}
Q ' = {4,6,8,9}
Applying the union set operation on the sets P' and Q' leads to
P' u Q' = {3,5,7,9, 4,6,8,9}
All I did was combine the two sets of numbers under one umbrella. From here we toss out the duplicate entry of 9. This next step is optional, but sorting the values is standard convention.
Doing all this leads to
P' u Q' = {3,4,5,6,7,8,9}
This set represents all the values that are in set P' or in set Q' or both.
=======================================================
Part B
Answer: P' n Q' = {9}---------------------------------
Work Shown:
Now we're looking at the intersection of sets P' and Q'
List out those sets
P ' = {3,5,7,9}
Q ' = {4,6,8,9}
We see that only the value 9 is in common
Therefore,
P' n Q' = {9}
=======================================================
Part C
Answer:
(P' n Q')' = {2,3,4,5,6,7,8}
---------------------------------
Work Shown:
You start with the result from part B. Then you erase that item (9) from the universal set. Everything in this answer set is not found in the set {9}
Put another way: we're finding the complement or opposite of P' n Q'
=======================================================
Part D
Answer: (P u Q)' = {9}---------------------------------
Work Shown:
P = {2,4,6,8}
Q = {2,3,5,7}
P u Q = {2,3,4,5,6,7,8}
Everything in set P u Q is either found in P, Q, or both. Any duplicates are tossed out.
Take the opposite of this to get
(P u Q)' = {9}
It is not a coincidence we get the same result as part B. It turns out that the two equations are true for any two sets P and Q
(P u Q)' = P' n Q'(P n Q)' = P' u Q'For more information, check out De Morgan's Laws. Use of a Venn Diagram may help visualize what is going on, so you can organize the values.
Michael's Art Supply store sells a fabric that costs $4 per foot. You purchase 5 yards of the fabric. What is the total cost, in
dollars, of the fabric you purchase?
A. $5
B. $10
C. $15
D. $60
Answers
Answer:
D.) $60
Step-by-step explanation:
1 yard= 3 feet
1 yard= 12$
12(5)= 60
5 yards= $60
What is
[tex]|2-2x|=6[/tex]?
Answers
Answer:
It is both -2 and 4
Step-by-step explanation: hope it helped!
The amount of corn chips in a 16-ounce bag by the dispensing machine has a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.2 ounce. What chip amount represents the top 13 percentile for the bag weight distribution? Round to the nearest hundredth.
How can I solve this using a calculator?
Answers
Answer: 1+1=2
Step-by-step explanation: Imagine you have 1 cookie, and a friend gives you 1 more, that means your total amount of cookies is 2. So that proves that 1+1=2!
Was this answer calculated by multiplying the fractions?
Answers
what is the sum of 8/5/12 + 11/1/4
Answers
Answer:
2.833
Step-by-step explanation:
Answer:19/6/16
Step-by-step explanation:
what equation shows y=3x-1/5 in standard from
15x+5y=−1
15x−5y=1
5x−15y=1
5x−15y=−1
Answers
Answer:
15x-5y=1
Step-by-step explanation:
y-3x=-1/5
multiply each side by 5
5y-15x=-1
15x-5y=1
6 - 8x = 5x - 10x + 12
Please help I suck at math thank you
Answers
Answer:
I guess it's -2
Step-by-step explanation:
6-8x = 5x - 10x + 12
∴ 10x - 8x - 5x = 12 - 6
∴ 10x- 13x = 6
∴ - 3x = 6
∴ x = -6\3
∴ x = -2
Answer:
-2
Step-by-step explanation:
6-8x=5x-10x+12
5x-10x=-5x
=6-8x=-5x+12 MOVE -5x TO THE LEFT SIDE AND 6 TO THE RIGHT SIDE
= -8x+5x=12-6
= -3x=6
= -x=2
= x=-2
and that i need answers please
Answers
Answer:
y=29
Step-by-step explanation:
Answer:
y=29
Step-by-step explanation:
We move all terms to the left:
58/y-(2)=0
The domain of the equation: y!=0
y∈R
We multiply all the terms by the denominator
-2*y+58=0
We add all the numbers together, and all the variables
-2y+58=0
We move all terms containing y to the left, all other terms to the right
-2y=-58
y=-58/-2
y=29
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. You have owned this CPU for three years. a. What is the probability that the CPU fails in the next three years? b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?
Answers
Answer: 0.39 ; 0.993
Step-by-step explanation:
Given that:
Mean of exponential distribution = 6
Using poisson :
P(X =x)Probability of failure in next 3 years :
Number of occurrences λ = 1 / 6 = 0.1667
P(X < 3) = 1 - e^-λx
P(X < 3) = 1 - e^-0.1667*3
P(X < 3) = (1 - e^-0.5)
P(X < 3) = 1 - 0.60653
P(X < 3) = 0.39346
= 0.393
B.)
Number of pc owned = 10 ; n = 10
P(atleast 1 fails) :
P(X ≥ 3)^n = 1 - [1 - P(X < 3)] ^n
P(X ≥ 3)^n = 1 - (1 - 0.393)^10
P(X ≥ 3)^n = 1 - 0.607^10
= 1 - 0.00679
= 0.993
This question is based on the probability. Therefore, the probability that the CPU fails in the next three years is 0.393 and the probability that at least one fails within the next three years is 0.993.
Given:
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. You have owned this CPU for three years.
(a) We need to determined the probability that the CPU fails in the next three year.
It is given that, mean of exponential distribution = 6
By using Poisson distribution:
P(X =x) Probability of failure in next 3 years :
[tex]Number\, of \,occurrences\, \lambda = \dfrac{1}{6} = 0.1667[/tex]
[tex]P(X < 3) = 1 - e^{-\lambda x}\\P(X < 3) = 1 - e^{-0.1667\times 3}\\P(X < 3) = (1 - e^{-0.5})\\P(X < 3) = 1 - 0.60653\\P(X < 3) = 0.39346= 0.393[/tex]
(b) We need to determined the probability that at least one fails within the next three years.
Number of pc owned = 10 ; n = 10
P(at least 1 fails) :
[tex]P(X \geq 3)^n = 1 - [1 - P(X < 3)] ^n\\P(X \geq 3)^n = 1 - (1 - 0.393)^{10}\\P(X \geq 3)^n = (1 - 0.607)^{10} = = 1 - 0.00679 = 0.993[/tex]
Therefore, the probability that the CPU fails in the next three years is 0.393 and the probability that at least one fails within the next three years is 0.993.
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Help me! 30 Points!
TY!!!
Answers
Answer:
y = -4x + 5
Step-by-step explanation:
Answer:
if not 2 x+-4 im sorry
Step-by-step explanation:
Solve for x:1/2(x-2)+1/3(x-3)+1/4(x-4)
Answers
Answer:
[tex] \frac{1}{12} \times (13x - 36)[/tex]
Write a linear equation to find the attendance y after x years. Let x be the number of years since 2010
Answers
Answer:
200 + 10 = 2010
Step-by-step explanation:
is wen i was born.
