Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6
Answers
Answer:
I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.
First, we have the lines:
y = (1/3)*x + 6
y = (-5/3)*x - 6
To graph these lines, you must find two points for the lines and then draw a line that connects the points.
To do it, you can evaluate each line in two different values of x, for example for the first line we can have:
y(0) = (1/3)*0 + 6 = 6 (then we have the point (0, 6))
y(3) = (1/3)*3 + 6 = 7 (then we have the point (3, 7))
And for the second line, we will have:
y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))
y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))
Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.
The graphs of the lines are shown below:
Where the grey line is the first one, and the green is the second.
In the graph, you can see that the lines intersect in the point (-6, 4)
Then the solution for the system is x = -6, and y = 4.
Related Questions
An office supply company conducted a survey before marketing a new paper shredder designed for home use. In the survey, 80% of people used the shredder were satisfied with it. Because of the high acceptance rate, the company decided to make the new shredder. Assume that 80% of all people who use it will be satisfied. On a certain day 7 customers bought the shredder.
Let x denote the number of customers in this sample of 7 who will be satisfied with this shredder. Using the binomial probabilities table, obtain the probability distribution of x and fill in the table
x 0 1 2 3 4 5 6 7
p(x)(for each number)
Answers
Answer:
Probability distribution of x
Step-by-step explanation:
Binomial Probability = N c x . (P)^x . (Q)^ n-x
N = Total trials, 7 customers here ; P = Prob of success, 0.80 satisfied here ; x = No. of success (1....7) ; Q = Prob of fail, 0.20 not satisfied here
P (x = 1) = 7c1 (0.80)^1 (0.20)^7 = 0.00035
P (x = 2) = 7c2 (0.80)^2 (0.20)^6 = 0.0043
P (x = 3) = 7c3 (0.80)^3 (0.20)^5 = 0.0286
P (x = 4) = 7c4 (0.80)^4 (0.20)^4 = 0.1146
P (x = 5) = 7c5 (0.80)^5 (0.20)^3 = 0.2752
P (x = 6) = 7c6 (0.80)^6 (0.20)^2 = 0.3670
P (x = 7) = 7c7 (0.80)^7 (0.20)^1 = 0.2097
PLEASE HURRY
What is the gross earnings for a person who has $30,000 in total sales, $2250 in Returns and Allowances, and a rate of commission of 6%?
Answers
Answer:
$1800
Step-by-step explanation:
$30000x.06=1800
Answer:
I believe the answer is 1,800
Step-by-step explanation:
I could be wrong but hope this helps :)
Please help, find the exterior angles of the two polygon.
Answers
Answer:
6) 106 degrees
7) each 'x' angles measures 118 degrees
Step-by-step explanation:
The sum of the measures of all exterior angles is always 360 degrees.
3 + 5 is ___ units from 3, in the _______ direction.
Answers
Answer:
7 unit
Step-by-step explanation:
mark me as brainliest and follow and like my answer
Lots of points due today help
Answers
Answer: ok
Step-by-step explanation:
11) 75 percent. this is bc 32 - 8 is 24, and 24 of 32 as a percentage is 75 percent.
12) 25 percent, bc 15 percent of 60 is 25 percent
Answer: 75%
75%
Step-by-step explanation:
11. 32-8=24 boys
24 boys / 32 in the class = 0.75
0.75 x 100 = 75 %
12. 45/60= 0.75 or 75%
Solve for the value of w.
(8w+6)"
Answers
2(4+3)
hope it helps ;)
-15.8= y-24.3 please solve and get back quickly
Answers
Answer:
Y=17/2=8.500
I just took a test with this question
Find the surface area
Answers
Answer:
the surface area is 25ft!
add 8 and 17 that both angles are related towards the sum of the surface
Step-by-step explanation:
Hopefully this helped! And if u get the chance go to https://brainly.com/question/19887114
and rate the drawing! :)
WILL GIVE BRAINLEIST HELP ASAP
Answers
Answer:
x = 12
y = 9
Step-by-step explanation:
[tex]\triangle ACD \cong \triangle BCD.. (given) \\\\
\therefore AC \cong BC\\\\
\therefore m(AC) = m(BC) \\\\
\therefore 2x = x + 12\\\\
\therefore 2x - x = 12\\\\
\therefore x = 12\\\\
Similarly \\\\
BD \cong AD\\\\
\therefore m(BD) = m(BD) \\\\
2y - 4= y + 5\\\\
2y - y = 4 +5\\\\
y = 9
[/tex]
Yoko pays $19.60 for a pack of 4 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.
Answers
c. 3 bananas cost $0.99. At this rate, how much do 5 bananas cost? Explain how you know.
Answers
Answer:
$1.65
Step-by-step explanation:
You can get the cost of each banana by using the division operation. All you have to do is to divide $0.99 by 3.
0.99 ÷ 3 = $0.33Each banana costs $0.33
Now that you know the cost of each banana, you may now get the cost of 5 bananas by using the multiplication operation. All you have to do is to multiply $0.33 by 5.
0.33 x 5 = $1.65Therefore, 5 bananas cost $1.65.
84.637-28.56 solve this for me and show work
Answers
Answer:
56.077
Step-by-step explanation:
84.637
- 28.560
56.077
Answer:
56.077
Step-by-step explanation:
Work is shown in picture above
The amplitude for the trigonometric functions tangent, cotangent, secant, and cosecant are not defined
A.) True
B.) False
Answers
Answer:
True
Step-by-step explanation:
They do not have an amplitude.
how much water is left in Shelby‘s original container?
Answers
i used a calculator so ♀️
Sue can read 2 books in 2.5 hours while John reads 3 books in 5 hours. Compare the rates at which each child reads. Who can read faster? How do you know?
Answers
Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)
Answers
Answer:
3x+y=-31
Step-by-step explanation:
[tex]4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}[/tex]
Slope of perpendicular line is -3.
[tex]y=-3x+b[/tex]
Sub in the point (10, -1)
[tex]-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31[/tex]
In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of eligible voters actually did vote. a) Find the 95% confidence interval estimate of the proportion of people who say that they voted.
Answers
Answer:
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
Step-by-step explanation:
Step(i):-
In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.
Sample proportion
[tex]p = \frac{x}{n} = \frac{701}{1002} = 0.6996[/tex]
Step(ii)
The 95% confidence interval estimate of the proportion of people who say that they voted
[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]
[tex](0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )[/tex]
(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)
(0.6996 - 0.02838 , 0.6996 + 0.02838)
(0.67122 , 0.72798)
Final answer:-
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
2x-20 solve for x in an equilateral triangle
Answers
Answer:
x=40
Step-by-step explanation:
triangle = 180 degrees
Equilateral so 3(2x-20) = 180
6x-60=180
6x=240
x=40
Hope this helps!
Please hit the crown!
Merry Christmas!x
determine the truth values of p, q, and r that would make the statement false. Explain your reasoning. p→(q∨~r)
Answers
======================================
Explanation:
For a conditional to be false, the antecedent must be true and the conclusion must be false. So the format is (true) --> (false) for the overall conditional to be false.
Since the antecedent must be true, this means p = true. We can shorten this to say p = T, where T stands for "true".
Now we must make (q v ~r) be false.
This is only possible if both pieces q and ~r are false. An "or" statement, aka disjunction, is true if either piece is true; otherwise it's false.
So q = F, where F stands for "false" and ~r = F as well.
If ~r = F, then r = T. Recall the squiggly line or tilde is basically the negation operator. It does the opposite of the statement.
6. $80 is divided between Ethan and Michael such
that one quarter of Ethan's share is equal to one
sixth of Michael's share. How much does each of
them receive?
Answers
Answer:
it could be 32 if im correct
Step-by-step explanation:
Answer:
32 is correct........
6th grade math ok thanks
Answers
192.78
Hope this helps!
✧◝(⁰▿⁰)◜✧
Answer:
192.78
Step-by-step explanation:
0.34 X 567 = 192.78
Does anyone know the answer to this problem. If so please help.
Answers
Help me please what should I do
Answers
Answer:
It’s either 1 or 2
Step-by-step explanation:
Answer:
Mp=QN
Step-by-step explanation:
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 17 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure
Answers
Answer:
the percentage of adults have stage 2 high blood pressure is 0.0057
Step-by-step explanation:
The computation of the percentage of adults have stage 2 high blood pressure is shown below;
Given that
mean = 117
Standard deviation = 17
and, the sample is 160
Now based on the above information,
The percentage is
= (Sample - mean) ÷ (standard deviation)
= (160 - 117) ÷ (17)
= 2.529
p(z>2.53) = 0.0057
hence, the percentage of adults have stage 2 high blood pressure is 0.0057
The average time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. You run an experiment to verify if the new product is better. You test out the new aspirin on 70 people. Those seventy people had a mean time of 24 minutes and 12 seconds with a standard deviation of 3 mins. Find the test statisic and p-value for your experiment.
Answers
Answer:
-2.23 ; 0.012874
Step-by-step explanation:
Given that :
Population mean (μ) = 25 minutes
Same mean (x) = 24min 12 seconds = 24.2 minutes
Standard deviation σ = 3
Sample size (n) = 70
Test statistic :
Using the relation :
Tstatistic = (x - m) / σ/sqrt(n)
Tstatistic = (24.2 - 25) / (3/sqrt(70)
Tstatistic = - 0.8 / 0.3585685
Tstatistic = - 2.2310939
= - 2.23
The P value can be obtained using a. P value Calculator :
P at α = 95% and test statistic = - 2.23
Hence, p = 0.012874 using calculator
Emma wants to build a fence around the perimeter of her lawn. Each foot of fence costs $2. The rectangular lawn has an area of 364 square feet and a width of 14 feet. How much will the entire fence cost?
Answers
Answer:
[tex]\$160[/tex]
Step-by-step explanation:
To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.
Area of rectangular lawn = [tex]lw[/tex] (formula for the area of a rectangle)
[tex]364=14l[/tex]
[tex]l=26[/tex] feet
Now that we have the lawn's length and width, we can calculate the perimeter:
Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)
[tex]=2(26)+2(14)[/tex]
[tex]=80[/tex] feet
Since each foot of lawn costs $2, then the cost of the entire fence will be:
[tex]80\times2 = \$160[/tex]
∴ The entire fence costs [tex]\$160[/tex].
Hope this helps :)
The relationship between the number of calories Hannah burns while working out can be represented by y = 12x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?
Answers
Answer: i canot make a graph but i will do how many caloris were burned ever minute
Step-by-step explanation:
4 glasses of milk and 2 snack bars have a total of 86 carbohydrates (carbs), and
2 glasses of milk and 3 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.
Answers
Answer:
There are 15 carbs in one glass of milk and 13 carbs in one snack bar.
Step-by-step explanation:
Let m be the number of carbohydrates in one glass of milk and
Let s be the number of carbohydrates in one snack bar
Then according to given information
The system of equations will be:
[tex]4m+2s = 86\\2m+3s = 69[/tex]
Multiplying equation 2 by 2 and subtracting from equation 1
[tex]2(2m+3s) = 69*2\\4m+6s = 138[/tex]
Subtracting from equation 1
[tex]4m+2s-(4m+6s) = 86-138\\4m+2s-4m-6s = -52\\-4s = -52\\\frac{-4s}{-4} = \frac{-52}{-4}\\s = 13[/tex]
Putting s=13 in equation 1
[tex]4m+2(13) =86\\4m+26 = 86\\4m = 86-26\\4m = 60\\\frac{4m}{4} = \frac{60}{4}\\m = 15[/tex]
Hence,
There are 15 carbs in one glass of milk and 13 carbs in one snack bar.
Which statement best describes how the media influence policy development?
The media keep lawmakers informed of what is happening in government.
VThe media inform the public, who can then give their opinions to policymakers.
NThe media present opinions and ideas that inspire policymal kers
The media make it easier for government offcials to com
hone another.
M O
Answers
Answer:
its A on edge 2021
Step-by-step explanation:
your welcome :)
Can we have a happy conversation that will make my day? Im happy but I just wanna laugh (be kid friendly)
Answers
Answer:
Happy conversation
Step-by-step explanation:
Be happy. It's good for you.
Answer:
Yes sure want to be friends?
:)