What is the solution for the system of linear equations shown in the graph? 3 3 2 2 2 DON 2 -3 a 7 7 3 N 3 4
I'll give brainiest to first answer if its correct pleass
Answers
The solution is given by the point of intersection of the two lines which is (-1/4, 3/4).
To find the point of intersection of two lines, we need to determine the equations of the lines and then solve them simultaneously.
Finding the equation of the first line passing through the points (-1, 3) and (0, 0).
The slope of the line (m1) can be calculated using the formula:
m1 = (y2 - y1) / (x2 - x1)
Substituting the values (-1, 3) and (0, 0):
m1 = (0 - 3) / (0 - (-1))
= -3 / 1
= -3
Using the point-slope form of the line equation:
y - y1 = m1(x - x1)
Substituting the values (-1, 3):
y - 3 = -3(x - (-1))
y - 3 = -3(x + 1)
y - 3 = -3x - 3
y = -3x
So, the equation of the first line is y = -3x.
Similarly, second line,
The slope of the line (m2) is:
m2 = (2 - 0) / (1 - (-1))
= 2 / 2
= 1
Using the point-slope form with the values (-1, 0):
y - 0 = 1(x - (-1))
y = x + 1
So, the equation of the second line is y = x + 1.
Equating the equations of the lines to find the point of intersection and hence the solution,
-3x = x + 1
0 = 4x + 1
-1 = 4x
x = -1/4
Put x = -1/4 in 2nd equation,
y = x + 1
y = (-1/4) + 1
y = 3/4
Therefore, the point of intersection of the two lines is (-1/4, 3/4).
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Related Questions
what special name is given to the domain in a linear programming problem
Answers
Answer:
Mathematics
Step-by-step explanation:
Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).
dos numeros sumados dan como resultado 5 y el doble de uno mas el doble del otro da como resultado 15 ¿cuales son esos numeros?
Answers
Answer:
Sean dos números A y B.
Sabemos que la suma de estos dos números es igual a 5, entonces:
A + B = 5
Y sabemos que el doble de uno mas el doble del otro da como resultado 15.
entonces:
2*(A + 2*B) = 15
esta es la única forma de interpretar esta ecuación, si en lugar de esta expresión tuviéramos 2*A + 2*B = 15 (pues tambien se puede interpretar como esto), entonces:
tenemos dos ecuaciones:
A + B = 5
2*A + 2*B = 15
Ahora, si sacamos el 2 como factor común en la segunda ecuación tenemos:
2*(A + B) = 15
si dividimos ambas partes por 2:
(A + B) = 15/2 = 7.5
(A + B) = 7.5
Esto se contradice con la primer ecuación:
(A + B) = 5.
Entonces podemos concluir que dichos números no existen.
Dejando esto de lado, nuestras ecuaciones van a ser:
A + B = 5
2*(A + 2*B) = 15
Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la primera:
A = 5 - B
Ahora podemos reemplazar esto en la otra ecuación:
2*(5 - B + 2*B) = 15
2*(5 + B) = 15
10 + 2*B = 15
2*B = 15 - 10 = 5
B = 5/2 = 2.5
Y con la primer ecuación:
A + B = 5
reemplazamos el valor de B:
A + 2.5 = 5
A = 5 - 2.5 = 2.5
Ambos números son 2.5.
d-1/2=5/12 what is d??
Answers
Answer:
d = [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
1) To solve for d, isolate it in the equation. So, to get rid of the [tex]-\frac{1}{2}[/tex] with the d, add [tex]\frac{1}{2}[/tex] to both sides.
[tex]d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}[/tex]
Thus, d = [tex]\frac{11}{12}[/tex].
sebuah kantong berisi 20 kelereng merah dan 15 kelereng putih.toni memiliki 3 kantong yang berisi kelereng dengan jumlah yang sama. jika Toni memberikan 45 kelereng kepada adiknya, sisa kelereng Toni adalah
Answers
Answer:
60
Step-by-step explanation:
The computation of the rest of the marbles is given below:
Since there is 20 red and 15 white marbles
Also the 3 bags contains same marbles
So if he gives 45 marbles, so the remaining would be
= (20 + 15) × 3 - 45
= 35 × 3 - 45
= 105 - 45
= 60
allison read 4/8 of an hour everyday of the week. How many hours does she read each week
Answers
Answer:
3 1/2 hours
Step-by-step explanation:
Multiply 4/8 by 7 and you get 28/8 whihc reduces to 3 4/8 and 4/8 can be simplified to 1/2
Answer:
Step-by-step explanation:
Hi! So I am not sure if when you mention for the week if she is talking about the school week(5Days) or a regular week (7 days). So we'll do both.
We know that 4/8 hour can be simplified to 1/2 hour. We also know that 1 hour is 60 minutes ... so 1/2 hour is 30 minutes. This means she reads 30 minutes per day.
School Week: 5 Days
30 minutes x 5 Days = 150 minutes or 2 hours and 30 minutes (2 1/2 hours) (20/8 of an hour)
Regular Week: 7 Days
30 minutes x 7 days= 210 minutes or 3 hours and 30 minutes (3 1/2 hour) (28/8 of an hour)
Please mark me the brainliest or not ! I hope this answers your question
Please help me again!
Answers
Answer:
144
Step-by-step explanation:
First subtract 180 from 20% of 180.
180 - (20/100 x 180) = 180-36 = 144
The length of an alligator in a zoo is 14 5/6 feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17 5/12 feet. Which is the difference in their lengths? a 2 3/4 feet b 2 7/12 feet c 3 5/8 feet d 3 5/6 feet
Answers
9514 1404 393
Answer:
b) 2 7/12 ft
Step-by-step explanation:
The difference is ...
(17 5/12 ft) - (14 5/6 ft) = (17 -14) ft + (5/12 -5/6) ft
= 3 ft + (5/12 -10/12) ft = 3 ft - 5/12 ft
= 2 7/12 ft
True or False: Tamika is having 5 friends over for a birthday party. Each serving of ice cream is of a cup. She would like to double that amount for each serving and have enough ice cream for her and her friends. 4 cups is enough
Answers
Answer:
TRUE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
False
If you have her and 5 friends that is 6 people.
And her doubled serving is 2 cups.
Enough ice cream would be 12 cups
(6 x 2 = 12)
She only has 4 which is not enough ice cream for everyone given these servings.
I hope this helps.
If you have any questions or concerns please comment or message me. :)
COULD I GET GET SOME HELP PLZ? REWARD BRAINLIEST
Answers
Answer:
1. D) -4/3 or 4/3
2. A) -6 or 8
Step-by-step explanation:
Answer:
x=4/3 or -4/3
x=8,-6
Step-by-step explanation:
Solve for x. 3 - √x = 0
Answers
Answer:
x = 9
Step-by-step explanation:
3 - √x = 0
Subtract 3 from both sides of the equation
3 - 3 - √x = 0 - 3
-√x = -3
Divide both sides by -1
-√x / -1 = -3 / -1
√x = 3
Take the square of both sides
(√x) ² = 3²
X = 9
A submarine travels 12 km due West from its base and then turns and travels due South for 14.8 km. How far away is the submarine from its base? .
Answers
Answer:
the submarine travels 26.8 km. from its base
Answer:
The answer is 19.1
Step-by-step explanation:
[tex]z = \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{ {12}^{2} + {14.8}^{2} } = 19.1[/tex]
I slept the correct operator for the following exponential expression*
Answers
Answer:
b is the answer(>)
Step-by-step explanation:
hope this helps
PLEASE!! HELP!!
Question
Select the correct location on the number line.
Plot the square root of 3 on the number line.
H
1
2
Answers
Answer:
2nd dot from the left (in the 1.7 column)
Step-by-step explanation:
the square root of 3 is 1.73
each interval on that number line goes by one tenths
(1.1, 1.2, 1.3, etc.)
so counting 7 spaces from the number one should land you at 1.7
(the second red dot from the left)
hope i was able to help!
12.- En una fábrica 15 obreras cubren un pedido de faldas en nueve dias de
trabajo, ¿cuántas obreras más tendrán que contratarse para que el pedido sea
entregado en tres días?
A) 5
B) 15
C) 25
D) 30
Answers
Answer:
I speak englush
Step-by-step explanation:
I speak English
please help! I will give brainlist
Answers
Answer:
A= Yes, it's the equation
B= it's what the problem equals
Step-by-step explanation:
I think this is right I'm not to sure but I think it is
hope this helps :)
Step-by-step explanation:
the process shown in the picture.
What is the answer to 2 + n = 16
Answers
Answer:
Original Equation: 2+n=16
Subtract 2 from both sides: 2+n-2=16-2
Simplify: n=14
Hope this helps!
14 + 2 = 16
To do this correctly, subtract 2 on both sides. This cancels out the 2 on the left, leaving you with n = 16-2. 16-2=14
A coupon book has a coupon for 40% off of a lift ticket at Mt. Woodstock. A lift ticket usually costs $70. How much would a skier save?
Answers
Answer:
The Skier would save $28 dollars
Step-by-step explanation:
The answer is 28 because 40% of 70 is 28.
Hope this helps! :)
Answer:
The skier would spend $48 and save $28
Step-by-step explanation: In the attachment
I did this myself, but I kept getting negative numbers can someone else try and do this and see what you get
Answers
Answer:
6
Step-by-step explanation:
Answer:
67
Step-by-step explanation:
4x = 2x + 12
4x - 2x = 2x - 2x + 12
2x = 12
2x ÷ 2 = 12 ÷ 2
X = 6
Plug into HI
9 × 6 + 13 = 67
Solve the quadratic equation x^2- 11x = 12 using any method. Describe the method you chose and why you chose it.
Answers
Answer:
12, -1 its the answer
Step-by-step explanation:
1. subtract 12 from both sides
2. simplify which looks like this x^2- 11x - 12=0
3.solve with the quadratic formula
4.separate the solutions
and there you go
Is my answer correct???
Answers
Answer:
Yes! Great job!
Hope that helps!
pls help this is due soon check 2 that apply
Answers
Answer:
I am pretty sure it is option a and c
Sorry if i am wrong
The weights of four puppies are shown in pounds
9.5 9
9.125 9
Which list shows these weights in order from greatest to least?
Answers
Answer:
9.125 9, 9.59
Step-by-step explanation:
I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after that I will receive $50 more than I received the previous week. How much money will I receive over the course of the 52 Weeks?
25 Points.
Answers
Answer:
$3100
Step-by-step explanation:
You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.
If y = 3x - 5 and x = 3y - 5, then what are x and y?
Answers
Answer:
2?
Step-by-step explanation:
Answer:
x nang iwan at y naman ganon
n the diagram, the measure of angle 9 is 85°.
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.
Which angle must also measure 85°?
Angle2
Angle5
Angle11
Angle12
Answers
Answer:
The real answer is angle 5
Step-by-step explanation:
The angle 11 must measure the angle 85. The correct option is C.
What are lines and angles?An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.
Given that in the diagram, the measure of angle 9 is 85°. 4 lines intersect to form 16 angles. The angles created, clockwise from the top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.
The measure of angle 9 is equal to the measure of angle 11. it means that angle 9 and angle 11 are equal to 85 degrees. The image is attached with the answer below. Shows the angle 9 and angle 11 are vertically opposite angles.
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Lesson 2 Review...
< Exit
Topic 5 Assessment
IMPLAYER
Drag each expression to its equivalent expression. Each expression may be used only once.
+ 1
4
1
X +
+1
3
Expression
Equivalent Expression
-
3
4
1
4
+
3
+
3
4
See
Answers
It A
Help meh ill mark you all 4 plz if you can
Answers
Answer:
Step-by-step explanation:
5+ 1 7/8 = 6 7/8
3 - 1 3/4 = 1 1/4
7 3/4 + 4 = 11 3/4
4- 2 3/7 = 1 4/7
(3x - 2)³=
gives the solution pls.
Answers
Answer:
27x^3 - 54x^2 + 36x - 8
Step-by-step explanation:
(3x - 2)^3
= (3x - 2) (3x - 2) (3x - 2)
= 27x^3 - 54x^2 + 36x - 8
Hope this helps :)
Let me know if there are any mistakes!!
Answer:
1x
Step-by-step explanation:
-6(-6x + 1) plz answer
Answers
Answer:
36x - 7
Step-by-step explanation:
Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?
Answers
Answer and explanation:
Given that initial population of fruit flies = 4
And population of fruit flies triple every week
If population of fruit flies triple every week then let x represent number if weeks
Therefore function can be modelled thus :
f(x)= 4 + 3x
To demonstrate that the function is correct, we use an example. Now assume population grows for two weeks, using the function:
f(2)= 4+3×2
f(2)= 10
Therefore population grows to 10 fruit flies in 2 weeks based on our function