Answer:
(6 ,-7)
Step-by-step explanation:
[tex] - 5x + 8y = - 86 \\ y = 6x - 43 \\ - 5x = - 86 - 8y \\ x = 17.2 + 1.6y \\ y = 6(17.2 + 1.6y) - 43 \\ y = 103.2 + 9.6y - 43 \\ 8.6y = - 60.2 \\ y = - 7 \\ [/tex]
[tex]x = 17.2 + 1.6( - 7) \\ x = 17.2 - 11.2 \\ x = 6[/tex]
y= 2x+4
How many solutions does this linear system have?
x + 2y = -8
O one solution: (8,0)
O one solution: (0,8)
O no solution
O infinite number of solutions
The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
Solve the following system:
{y = 4 - 3 x | (equation 1)
x + 2 y = 8 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
x + 2 y = 8 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + y = 4 | (equation 1)
0 x+(5 y)/3 = 20/3 | (equation 2)
Multiply equation 2 by 3/5:
{3 x + y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 0 , y = 4
Hence, The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
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Complete question:
How many solutions does this linear system have?
y=-3x+4
x + 2y = 8
O
O
O
O
one solution: (8,0)
one solution: (0,8)
no solution
infinite number of solutions
Enter A B C or D
Describe the center and spread of the data using either the mean and standard deviation or the five-number summary:
{16, 16, 18, 17,
20, 14, 8, 26, 11, 22, 16, 16, 17, 18).
A. x = 16.8; 6 = 4.2
C. x = 14, 0 = 4.2
B. median = 16.5; range 8 to 26
D. median = 16.5; range: 16 to 18
Answer:
B is the correct answer
Step-by-step explanation:
hope this helps :)
Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to.
a. p +- (premise)
b. p Vu (premise)
c. q (premise)
d. ((r Λ t) V p) V-u (premise)
Answer:
attached below
Step-by-step explanation:
Applying the rule of logical equivalences
attached below is a detailed solution ( written as a numbered sequence of statements )
Answer:
identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.
What is logical equivalence?
A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.
Contradiction and tautology
Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.
However, why is this significant?
We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.
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Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
Answer:
3.5 inches
Step-by-step explanation:
create a proportion:
inches / miles = inches / miles
let 'x' = distance in inches
1/4 = x
18 252
18x = 252(1/4)
18x = 63
x = 63 / 18
x = 3.5
Witch one is a function?
This shows a list of points where the x coordinate does not repeat. This means that any given x input leads to exactly one y output.
Something like choice A has x = 6 repeated; showing that x = 6 leads to both y = 11 and y = -9 at the same time. So this is why choice A is not a function. Choice B has x = 1 repeat, so it's not a function either. Choice C has x = 19 repeated, so it's not a function.
As a visual tool, you can use the vertical line test to check each set of points. If you are able to draw a single vertical line through more than one point on the graph, then it is not a function.
Answer: A
Step-by-step explanation: I hope I help you if it was wrong I'm sorry
Can someone help me Write an equation for this graph?
Answer:
y = (2/3)x - 1
Step-by-step explanation:
y = mx + b
m = (y₂ - y₁) ÷ (x₂ - x₁)
m = (1 - (-1)) ÷ (3 - 0)
m = 2 ÷ 3
m = 2/3
Insert slope and one of the points. I'm using (0, -1).
Solve for b.
-1 = (2/3)0 + b
-1 = 0 + b
-1 = b
∴ y = (2/3)x - 1
Nadia lives in the town of Preston. Quinn lives
in the town of Elm Ridge. Nadia and Quinn each
claim that her respective town's population
is growing more rapidly.
Preston
Last Year 5,589 and this Year 5,702
ELM Ridge
Last Year 1,870
and this Year 1,926
Answer:
ELM Ridge is growing at a faster rate
Step-by-step explanation:
To obtain the solution, we calculate the growth rate of both cities
Given :
Nadia : Preston
Population Last Year 5,589
This Year 5,702
Growth rate:
[(this year population - Last year population) / last year population] * 100%
[(5702 - 5589) / 5589] * 100%
(113 / 5589) * 100%
= 0.0202182 * 100%
= 2.02%
ELM Ridge
Last Year 1,870
This Year 1,926
Growth rate:
[(this year population - Last year population) / last year population] * 100%
[(1926 - 1870) / 1870] * 100%
(56 / 1870) * 100%
= 0.0299465 * 100%
= 2.994%
= 3%
graph the following equation and plz how
Desmos Graphing Calculator
For the pair of similar triangles, find the value of x.
The value of x is .
Answer:
18.
Explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The value of 'x' in two similar triangles is 6.46.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in similar triangles the ratio of their corresponding sides are equal.
Therefore, The equation to determine the value of 'x' should be,
(2x - 6)/20 = 36/(x + 6).
36(2x - 6) = 20(x + 6).
72x - 216 = 20x + 120.
72x - 20x = 120 + 216.
52x = 336.
x = 336/52.
x = 6.46.
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a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?
Answer:
[tex]Total\ Rotation = 225^{\circ}[/tex]
Step-by-step explanation:
Given
See attachment for nut
Required
Determine the angle of rotation
The total angle in the nut is:
[tex]\theta = 360^{\circ}[/tex]
An octagonal nut has 8 sides. So, each rotation is:
[tex]Each\ Rotation=\frac{360^{\circ}}{8}[/tex]
[tex]Each\ Rotation=45^{\circ}[/tex]
From position 8 to 5, there are 5 movements.
So, the total rotation is:
[tex]Total\ Rotation = Each\ Rotation * Moves[/tex]
[tex]Total\ Rotation = 45^{\circ} * 5[/tex]
[tex]Total\ Rotation = 225^{\circ}[/tex]
PLEASE HELP!! WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answer:
x=12
y = 4
Step-by-step explanation:
3x + y = 4x - 2y
x = 3y
y= 1/3x
3x + y = 40 3x + y = 40
3(3y) + y = 40 3x + (1/3x) = 40
9y + y =40 10/3x = 40
10y = 40 x = 12
y= 4
Answer:
We know that all sides of the equilateral triangle is equal.
Given :---
An equilateral triangle has a side length of 40.
Another side of the same triangle measures
3x + y.
The third side of the same triangle measures
4x - 2y.
According to the above problem, the equation are
3x+y=40........(i) and 4x-2y=40.........(ii)
Divide the equation (ii) by 2, we get
2x-y=20..........(iii)
Now solving for x and y we get,
3x+y=40.......(i)
2x-y=20........(iii)
5x =60
x=60/5
x=12
Putting the value of x in equation in equation (iii) we get
24-y=20
y=24-20
y=4
The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.
Hence, the value of x is 12 and y is 4.Carmen made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $153?
Answer:
9
Step-by-step explanation:
221/13=17
So $17 for one hour
153/17=9
I dunno if this is right :)
Answer:
Carmen has to work 9 hours to make $153.
Step-by-step explanation:
Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.
17x4=68
17x5=85
17x6=102
17x7=119
17x8=136
17x9=153
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Use the following to answer questions 19-21 Breast cancer is one of the leading causes of death in women prior to age 50. A study of the effectiveness of regular breast self-examination (BSE) reported in the American Journal of Public Health found that 23 of 53 women who discovered a tumor through BSE had a tumor in an early stage. Of 178 women who discovered a tumor by accident, 48 had a tumor in an early stage. Let p1 and p2 denote the proportion of women who detected early stage tumor through BSE and by accident, and let p1 and p2 denote the corresponding estimates.
The SE of p1-p2 is:________
Answer:
s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) = 0.07576
Step-by-step explanation:
Step(i):-
The proportion of the first sample
[tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]
The proportion of the second sample
[tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]
Step(ii):-
Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by
[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]
[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]
on simplification, we get
s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) = 0.07576
PLEASE ANSWER THIS QUESTION RIGHT.The graph below shows the path of a golf ball after being hit.
Domain is the x value which is the left to right values.
The line starts at 0 and ends at 100
The domain would be 0 <= x <= 100
What is the volume of the square pyramid? Round to the nearest tenth.
267.9
1107.7
1670.8
Answer:
1670.8 cm³
Step-by-step explanation:
Volume of square Pyramid = ⅓*a²*h
h = 15.3 cm
a = 18.1 cm
Plug in the values
Volume of the pyramid = ⅓*18.1²*15.3
Volume = 1670.81 ≈ 1670.8 cm³ (nearest tenth)
1.488 divided by 2.1 rounded to nearest tenth
If Allison pays with a $50 bill, how much change will she have?
Answer:
$29
Step-by-step explanation:
30(1/5) = 6
30 - 6 = 24
30(1/10) = 3
24 - 3 = 21
50 - 21 = 29
(Nvm i realized i was wrong)
Help me I am stuck find the quotient of 38.5 and 0.5 this is a question for my kid
Answer:
I got 77
Step-by-step explanation:
38.5÷0.5=x
385÷5=x
x=77
Answer:
77
Step-by-step explanation:
38x2 = 76
I did this because 0.5 is one half and you multiply it by 2 to get a whole number.
and you add 1 because there is 1 0.5 in 0.5
So the answer is 76+ 1 or 77
A marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. The test yielded a p-value of 0.47. Assuming all conditions for inference were met, which of the following is the correct conclusion?
a. At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20
b. At the level of significance of 0.05, the null hypothesis is not rejected. There is convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
c. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to suggest that the true proportion of television viewers who watch the show is less than 0.20.
d. At the level of significance of 0.05, the null hypothesis is rejected. There is not convincing evidence to suggest that the true proportion of television viewers who watch the show is greater than 0.20.
e. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to conclude that the null hypothesis is true.
Answer:
A) At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
Since the calculated p value by the test is obtained higher than that of significance level, thus we cannot reject the null hypothesis.
Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
We have following information:
The p value obtained by test = 0.47
The test was conducted to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance 0.05.
How do we test the hypothesis?We have the null hypothesis as
Null hypothesis here = "the proportion of viewers who watch a particular show is equal to 0.20 "
Alternate hypothesis = "the proportion for aforesaid condition is less than 0.20"
Since the obtained p value is more than the level of significance, thus we have the conclusion that we cannot reject the null hypothesis, thus cannot conclude that the proportion for aforesaid condition is less than 0.20.
Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
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HELP HELP HELP HELP HELP PLEASE PLEASE!!!!!!
9514 1404 393
Answer:
84 = j × 7
Step-by-step explanation:
A product results from multiplying two numbers. Here, the two numbers are said to be "Julie's score" and 7. "Julie's score" is represented by j, so the product is ...
j × 7
Then the translation can be ...
84 is the product of j and 7
84 = j × 7
__
In algebra, we can indicate a product without the multiplication symbol, simply by writing the factors next to each other. Generally, we write the numeric factor first:
84 = 7j . . . . another way to write the answer
Note that this latter method does not seem to appear in the forms available for your answer box.
help plz will give brainlyest
Answer:
A. Cendric is correct because he used the inverse of subtraction and added 4.5
Step-by-step explanation:
To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.
Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.
answer question for points and brainless (right answer not something dum)
Answer:
Hey shelby Sorry i havent talk to you anyway maybe want to catch up and talk someday
Step-by-step explanation:
And ill answer the question when i can focus more sorry if i stole ur points ummmm ill put the answer as a comment to my answer or what ever
5+y=y+5 which property of addition commutative,associative,additive ifentity property,additive identity property ,
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
if sarah has 800 marbles and her teacher gave her 3,00 more and she have 100 to her 2 friends how much will sarah have??
Answer:
3600
Step-by-step explanation:
If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.
Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia
jessica I have sent u letter in email did u read it?
Answer:
hhehehehe
Step-by-step explanation:
Answer:
who is jessica and y r u even using brainly to say this?..
Step-by-step explanation:
....
A collection of quarters and dimes is worth $4.25. There are 23 coins in all. How many of each are there?
Answer:
4.48
Step-by-step explanation:
Answer: 13 quarters and 10 dimes
Step-by-step explanation:
my son is trying to do translating angels
Answer:
Hi ma'am/sir... make sure your question is complete with a photo or options when asking a question on brainly.com
Step-by-step explanation:
thanks!
Alice says that all the factors of 8 are even.
Write down an example to show that Alice is wrong.
Write the number 5,187,000,700 in words.