Solve the system of equations graphically.3x + 2y = 4−x + 3y = −5
Answers
Answer: (2,-1).
Step-by-step explanation:
The given system of equations is
[tex]3x+2y=4[/tex]
[tex]-x+3y=-5[/tex]
For [tex]3x+2y=4[/tex], table of values is
x : 0 1 2
y : 2 0.5 -1
For [tex]-x+3y=-5[/tex], table of values is
x : -1 2 5
y : -2 -1 0
Plot these points on a coordinate plane and connect them be straight lines as shown below.
Form the graph it is clear that the lines intersect each other at (2,-1).
Therefore, the solution of given system of equations is (2,-1).
Related Questions
Meghan Trainor spent $180 to start a dog walking business and earns $80 for each dog she walks Nicki Minaj didn't spend anything to start her business and already has $160 saved up Nicki Minaj and $6 for each dog she walks how many dogs would they each have to walk before they have the same amount of money
Answers
Answer:
Nicki will have to walk 13 dogs to get the same amount of money as Meghan
Pls mark me brainliest.
7(5)^2 - 17
How do you solve
Answers
Answer:
7•(5•5) -17 = 7•25-17= 175-17= 158
Suppose 24% of students chose to study French their sophomore year, and that meant that there were 54 such students. How many students chose not to take French their sophomore year?
Answers
171
24 % = 54
1 % = 2.25
100 % = 171
Which equation gives the line shown on the graph?
y
y=2.0 +4
10
9
y= {x + 4
8
7
6
y=-3x – 4
5
y = 23 – 4
3
2.
1
0
0
1 2
3 4 5 6 7 8 9 10
need help
Answers
Answer:
y=(1/2)x+4
(0,4) and (10,9) both satisfy this equation.
Hope it helps:-)
What is 14 2/3 as an improper fraction?
Answers
Answer:
44
__
3
(another way to put it)
44/3
Answer:
44 / 3
Step-by-step explanation:
Pretty easy actually.
HURRY DUE IN 20 MINUTES Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.
Answers
Answer:
1 = A
2= D
3= B
4= C
Find an equation for the vertical line through the point (6, -6).
Answers
Answer:
x=6
Step-by-step explanation:
Since the line is vertical, it has no slope. This means that it will only go through points that have an x-coordinate of 6.
(01.01 MC)
The mean number of hours spent per day on the computer, according to a national
survey, is six hours, with a standard deviation of 2.5 hours. If each time was increased
by 1.5 hours, what would be the new mean and standard deviation? (2 points)
O 6,2.5
0 7.5,4
O 6,4
0 7.5, 2.5
Answers
Answer:
(7.5, 2.5)
Step-by-step explanation:
Given the following information ;
Mean hours (x) = 6
Standard deviation = 2.5 hours
If each time is increased by 1.5 hours, then the newly calculated mean will also increase by the same amount of time, that is 1.5 hours. This is because, since each individual item used in calculating the initial mean increased by the same amount, the average increase will be that same value (1.5 hours). Hence, the mean will increase by the same amount.
New mean = 6 hours + 1.5 hours = 7.5 hours
For the standard deviation ; which measures the variation of values from the mean, in this scenario, the standard deviation remains the same because the each value and the mean changed by equal amount, hence the bet change remains the same and so does the standard deviation.
can someone help me with this question
Answers
Answer:
Very Simple!
Step-by-step explanation:
Just use the distance formula!
(I'm in a math class right now, so I have to keep it brief)
Distance Formula, example:
[tex]AB=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex]
Just input the x and y values from A and B into here, and then that's it!
Hope this helps!
Happy Geometry!
what would x equal if 1/2x-2=8
Answers
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
1) -13(-6x- 14) = -910 solve
Answers
Answer:
x=2
Step-by-step explanation:
F(x) = 1/3(4-x)2 what is the value of f (16)
Answers
Answer:
-8
Step-by-step explanation:
(Please help ASAP!!)
Twice a number increased by 5 is equal to 16 less than 9 times the number. Find the number.
Answers
hope it helps
solve for x 5(3a+2)=-65
Answers
Answer:
a = -5
Step-by-step explanation:
5(3a + 2) = -65 given
5*3a = 15 distributive property
5*2 = 10 distributive property
(15a + 10) = -65 the +10 goes to the other side as -10
15a = -75 divide 75/15
a = -5 result
tell me ratios simplest forms
Answers
So like 1:2 , 2:4 , 4:8
Hope this helps!
500 deposit over 20 years with an interest rate of 5%
Answers
Answer:
At the end of 20 years, your savings will have grown to $1,326.
You will have earned in $826 in interest.
Step-by-step explanation:
1-6(-X + 8) = -6x + 12
How many solutions are their
Answers
Answer:
no solution
Step-by-step explanation:
distribute -6 to get:
1-6x-48=-6x+12
the -6x on both sides cancels out giving you:
1-48=12
-47=12
since this isn't true there's no solution
tell me if you need more help
Answer:
There is one solution [tex]x = 4\frac{11}{12}[/tex]Step-by-step explanation:
[tex]1-6\left(-x+8\right)=-6x+12\\\\\mathrm{Expand\:}1-6\left(-x+8\right):\quad 6x-47\\\\6x-47=-6x+12\\\\Collect\:like\:terms\:and\:simplify\\\\6x +6x =12+47\\\\12x=59\\\\\mathrm{Divide\:both\:sides\:by\:}12\\\\\frac{12x}{12}=\frac{59}{12}\\\\Simplify\\\\x =\frac{59}{12}\\\\59\div 12 = 4\:reemainder\: 12\\\\= 4\frac{11}{12}[/tex]
123453737372×69943773884=
Answers
Answer:
wow I got a big E and am sooo happy to get 5 marks
Answer:
8,634,820,291,881,888,392,848
Step-by-step explanation:
123453737372×69943773884 = 8,634,820,291,881,888,392,848
Many calculators don't keep the required number of digits.
One gym costs $24 per month and has a joining fee of $135. Another gym costs $39 per
month but does not have a joining fee. How many months would it take for each gym to
cost the same amount of money?
Answers
Answer:
It would take 1 month for the first gym (costs $24 per month) and 4 month for the second gym (costs $39 per month)
Step-by-step explanation:
If you add up $24 and $135 it equals 159. So for the first month you have to pay (in total) $159 dollars. So, if you want to get the same amount of money you have to multiply 39. To find out what number you need to multiply 39 with 4. Then you would have to add $3.
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 32 minutes of calls is $21.16, and the remaining credit after 56 minutes of calls is $18.28. What is the remaining credit after 72 minutes of calls?
Answers
Answer:
The credit remaining on a phone card is 16.36 dollars
Step-by-step explanation:
A linear function is a polynomial function of the first degree of the form:
f (x) = m * x + b or y = m * x + b
where m is the slope of the linear function and b is the ordinate to the origin and it is the coefficient of the independent variable.
Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the slope of the linear function using the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
The coefficient b is calculated simply by replacing any of the points in the linear function, knowing m, and isolating the value.
In this case you want the linear function first:
credit remaining on a phone card= m* the calling time in minutes + b
Being the points (32; 21.16) and (56;18.28), then the slope m will be:
[tex]m=\frac{18.28-21.16}{56-32}[/tex]
m= -0.12
Then, replacing the point (32; 21.16) in
credit remaining on a phone card= -0.12* the calling time in minutes + b
you get:
21.16= -0.12*32 + b → 21.16= -3.84 + b → 21.16 + 3.84= b → 25=b
Then, replacing the point (56;18.28) in
credit remaining on a phone card= -0.12* the calling time in minutes + b
you get:
18.28= -0.12*56 + b → 18.28= -6.72 + b → 18.28 + 6.72= b → 25=b
You can see that the value of b is the same.
So the linear function is:
credit remaining on a phone card= -0.12* the calling time in minutes + 25
Being the call time in minutes equal to 72, you replace this value in the linear function:
credit remaining on a phone card= -0.12* 72+ 25
and you get:
credit remaining on a phone card= -8.64+ 25
credit remaining on a phone card= 16.36
The credit remaining on a phone card is 16.36 dollars
Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage and your current bill cost. After using 3 GB of data, you owe $30. After 5 GB of data, you owe $40. What is the initial fee prior to the data usage charge?
Answers
Answer:
Hi there!
Your answer is: 5$ flat rate!
Step-by-step explanation:
3x + 5 = 30
5x +5 = 40
Evaluate the following expression:
[9 (10 – 2)] = [2 + (5 x 2)]
Answers
90-18= 2 + 10
72= 12
72 divided by 12
Answer = 6
Answer:
6
Step-by-step explanation:
HELPPPP! PLEASE EXPLAIN!!!
Answers
x=103 degrees
y=113 degrees
Explanation:
All the angles in a triangle add up to 180 degrees, so to find the measurement of angle x, we can use this equation and solve:
x=180-23-54
x=180-77
x=103
To find angle y, we need to understand that a straight line also has an angle of 180 degrees. This means we need to subtract the angle that is next to angle y from 180 to get angle y.
However, to find that angle that is next to angle y, we need to do the same thing we did above and find the angles of the triangle.
First, we find the angle next to x using this expression:
180-x
=180-103
=77
And now we find the measurement of the angle next to angle y:
180-77-36
=103-36
=67
And now we find angle y:
180-67
=113
Therefore, y=113 degrees
I hope this helps! Please comment if you have any questions.
My snack time calls for 1/2 cup raisins,2/3 cup of nuts and 1/4 cup of chocolate chips what is the combined total
Answers
Answer:
[tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex] (they're the same)
Step-by-step explanation:
1/2 + 2/3 + 1/4 = 12/24 + 16/24 + 6/2412/24 + 16/24 + 6/24 = 34/2434/24 = 17/12 = 1 5/12I hope this helps!
What is the value of x in the proportion below? 180 km/ 3 hours = 540 km/ x A. 6 B. 9 C. 12 D. 60
Answers
Answer: its 9
Step-by-step explanation: I took the test :)
How do you do this I don’t know how to do the triangle.
Answers
Answer:
I think the answer is 36
Step-by-step explanation:
I reduced 20in and I got 15inches
then as we know perimeter is the distance right round the shape so I add 15, 9 and 12 and I got 36
what’s the sequence for “S,M,T,W.... What’s the next three terms ?
Answers
Answer:
R F S
Step-by-step explanation:
These are the days of the week.
Sunday, Monday, Tuesday, Wednesday, Thursday, Saturday, Sunday
Find 5/6 of 15. Express your answer in simplest form.
Answers
Answer:
I would say 95/6 because you multiply 5 and 15 and turn it into an improper fractions.
Step-by-step explanation:
Answer
25/2 or 12 and 1/2
Step-by-step explanation:
3. 28/ч - 2x3 =
Answer
Answers
Answer:
28/4 - 2x^3 = 7- 2x^3
Hope this helps!
Answer:
1
Step-by-step explanation:
This is the answer because:
You can use PEMDAS or GEMS to help you remember the order of operations.
PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
GEMS: Grouping (Parenthesis), Exponents, Multiplication and Division (whichever comes first from left to right), Addition and Subtraction (whichever comes first from left to right).
1) We have to use the order of operations in order to solve this.
2) First, we have to divide because it's the first thing there is, 28/4 = 7
3) Next, we have to multiply since we cannot subtract before multiplying because you have to follow the rules of Order of Operations. 2 x 3 = 6
4) Finally, 7 - 6 = 1
Hope this helps!
Plz help!! Quesion above
