Cual es el mejor estimado de la solucion de lsistema de ecuciones lineales graficadas. y=4x-4 2x+y=5
Answers
Answer:
x = 1.5, y = 2
Step-by-step explanation:
Cuando tenemos un sistema de ecuaciones lineales, para resolverlo gráficamente simplemente debemos graficar ambas líneas y ver en que punto las líneas se interceptan.
En este caso, tenemos las líneas:
y = 4*x - 4
2*x + y = 5
El primer paso puede ser escribir ambas líneas en forma estándar, así será más fácil graficarlas.
Para ello, aislamos y en ambas ecuaciones:
y = 4*x - 4
y = 5 - 2*x
Ahora que tenemos ambas líneas debemos graficarlas en un mismo eje de coordenadas, y buscar el punto en donde ambas líneas se interceptan.
Un gráfico de este sistema se puede ver abajo:
Viendo el gráfico, podemos estimar que la solución del sistema es el punto:
(1.5, 2)
Es decir, la solución es:
x = 1.5
y = 2
Solamente para ser completos, también podemos resolver el sistema analíticamente y ver si la solución que encontramos gráficamente es aceptable.
Para ello escribimos el sistema:
y = 4*x - 4
y = 5 - 2*x
Como y esta aislada en ambas ecuaciones, tendremos:
4*x - 4 = y = 5 - 2*x
4*x - 4 = 5 - 2*x
Ahora podemos resolver esto para x.
4*x + 2*x = 5 + 4
6*x = 9
x = 9/6 = 3/2 = 1.5
Remplazando este valor de x en cualquiera de las dos líneas obtendremos el valor de y de la solución:
y = 4*x - 4 = 4*1.5 - 4 = 6 - 4 = 2
Así probamos analíticamente que la solución es x = 1.5, y = 2.
Related Questions
The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB?
Answers
Answer:
b) ∠ACB = 25 degrees
Step-by-step explanation:
arc BA = 50° because central angle AOB = 50°
∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°
The measure of angle ACB is 25°. The correct option is a. 25 degrees
Circle GeometryFrom the question, we are to determine the measure of angle ACB
From one of the Circle theorems, we have that
The angle at the center of a circle is twice the angle at any part of the circumference.
That is, in the given circle
<AOB = 2 × <ACB
Then,
<ACB = 1/2(<AOB)
<ACB = 1/2 × 50°
<ACB = 25°
Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees
Learn more on Circle theorems here: https://brainly.com/question/16879446
answer this and don’t answer if you are not smart
Answers
Answer:
60 degrees
Step-by-step explanation:
This is a complementary angle, so the equation to use is 30+x=90.
To find out what x is, we have to use the Subtraction Property of Equality.
30+x=90
-30 -30
x=60
Which transformation shows a translation of 3 units to the right?
A)
А
B)
B
0)
С
D)
D
Answers
Answer:
B
Step-by-step explanation:
It shows the P moving to the right three units without flipping it.
1/3 = 0.333 repeating 3/3=1 0.333*3=0.999 repeating. Does 0.999 repeating =1? Please explain I've asked this twice already!!
Answers
Answer:
yes and no
Step-by-step explanation:
0.999... is as close as you can get to 1 and not actually be there.
Most people just round up to 1
A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ feet
Answers
Answer:
72 ft
Step-by-step explanation:
Here, we want to get the maximum height the ball will reach
the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation
So we need firstly, the vertex of the given quadratic equation
The vertex can be obtained by the use of plot of the graph
By doing this, we have it that the vertex is at the point (3,72)
Thus, we can conclude that the maximum height the ball can reach is 72 ft
Please help!! Select the values for the domain & range of the function given below.
Answers
Answer:
the first one n second one
What is the midpoint of the segment with endpoints (1,9)and(-3,5)
Answers
Answer:
(-1,7)
Step-by-step explanation:
Rewrite the quadratic expression in faceted format: f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21
Answers
Answer:
[tex]f(x)=-x^2-4x+21[/tex]
Step-by-step explanation:
The given equation is :
f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.
We need to rewrite this equation in faceted format.
The general form of a quadratic equation is given by :
[tex]f(x)=ax^2+bx+c[/tex]
We have,
a = -1, b = -4 and c = 21
Substitute all the values,
[tex]f(x)=-x^2-4x+21[/tex]
So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].
if y° and 75° are the opposite angles of rhombus, then y°=.....
Answers
Answer:
if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]
Why do equivalent ratios form a straight line when graphed?
Answers
Answer:
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edgen
An ice cream shop makes sundaes with chocolate or vanilla flavors and sprinkles,
fudge or caramel toppings. Which tree diagram shows all possible flavor combinations of sundaes with one flavor of ice cream and one topping?
Answers
Answer:
top left aka the first option
The tree that shows the correct combination of one flavor of ice cream and one topping is the the first tree.
What is tree diagram ?A tree diagram is a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.
Tree diagrams, also known as probability trees or decision trees, are quite versatile and may be useful in many fields, including finance.
A tree diagram lets a user start at a single point and make mutually exclusive decisions or experience mutually exclusive events to follow a path down the branches of the tree. Using a tree diagram is simple once you assign the appropriate values to each node.
From the question, and the definition it is clear that vanilla splits into fudge and caramel and chocolate to sprinkles.
Hence A is the correct option.
To know more about tree diagram here
https://brainly.com/question/13311154
#SPJ3
Can someone help me find the volume of the cone and the entire figure
Answers
Answer:
10x15x10 1500
Step-by-step explanation:
It’s lines please help me
Answers
Answer: maybe line C, i dont know
Step-by-step explanation:
The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity (by using the limit) at t = 8 by finding the derivative
Answers
Answer: [tex]v=-3[/tex]
Step-by-step explanation:
Given
The position of a particle is [tex]s(t)=-9-3t[/tex]
Velocity is given by the derivative of position with respect to time
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3[/tex]
So, velocity is constant at any point in time.
At t=8, it is [tex]v=-3[/tex]
The diameter of a circle is 14 cm. Find its area in terms of \piπ.
Answers
Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.
Answers
Answer:
Step-by-step explanation:
plz help me to find this answer plz
Answers
Answer:
I think the answer would just be 2, I'm not for sure on this one
Identify the coeficient: 6x + 19
Answers
Answer:
25x
Step-by-step explanation:
6x + 9 = 25x
Answer:
6
Step-by-step explanation:
Coefficients are the numbers in terms with the variable
6 is the number with the variable (x)
The length of a rectangle is 3 inches longer than twice its width, where w is the width of th
rectangle. The area of the rectangle is 90 square inches. *
Answers
Answer:
6 in and 15 inStep-by-step explanation:
Given:
l = 2w + 3A = 90 in²w = ?l = ?Area formula:
A = lwSubstitute values and solve for w:
(2w+3)w = 902w² + 3w = 902w² + 3w - 90 = 0w = (-3 ± [tex]\sqrt{3^2 - 4*2*(-90)}[/tex])/2*2w = (-3 ± √729)/4w = (-3 ± 27)/4w = 6 (positive root only)The width is 6 in, find the length:
l = 2*6 + 3 = 15 inwidth be x
Length be 2x+3Now
area=Length×Breadthx(2x+3)=902x²+3x=902x²+3x-90=0On solving we will get
x=6[Take positive]Now
Length=2(6)=3=15in
what is the equation of the line that passes through point (4 -6) and has a slope of -3
Answers
Answer:
y-y1=m(x-x1)
y-(-6)=-3(x-4)
y+6=-3x+12
y=-3x+6the final answer
Can someone help me find the surface area and volume for these shapes ty.
Answers
Answer:
you multiply im pretty sure
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
D
Step-by-step explanation:
f(n)=-13-2(n) if n=-1 then f(n)=-15 if n=-2 then f(n)=-17
What do the a b and c stand for in the pythagorean theorem?
Answers
hope this helps!
Answer:
A, B, and C are labeled for each side of a right triangle.
Step-by-step explanation:
A and B are used to label the legs while C is used to label the hypotenuse(AKA the long side of a right triangle and the side opposite of the 90° angle.) The B side is the opposite side of the hypotenuse or the side C. The A is the bottom leg that is in between sides B and C.
what is the total number of outcomes from selecting one entree from a choice of nine entrees and one dessert from a choice of three desserts?
Answers
One customer paid $12 for 14 postcards and 5 large envelopes. Another customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?
Answers
Answer:
$1.42
Step-by-step explanation:
Since, The first customer paid $12 for 14 postcards and 5 large envelopes.
That is, 14 x + 5 y = 12 ------ (1)
And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.
That is, 10 x + 15 y = 24.80 -------(2)
3 × equation (1),
We get, 42 x + 15 y = 36 ---------(3)
Equation (3) - Equation (2)
32 x = 11.20
⇒ x = 11.20/32
⇒ x = 0.35
By putting the value of x in equation (1),
We get, 14 × 0.35 + 5 y = 12
⇒ 4.9 + 5 y = 12
⇒ 5 y = 7.1
⇒ y = 1.42
Thus, the cost of one postcard = $ 0.35
And, the cost of each large envelope = $ 1.42
To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.
Answers
Answer:
[tex]p > 80[/tex]
Step-by-step explanation:
Given
Points = More than 80
Required [Missing from the question]
Represent as an inequality
Let p represents the number of points.
More than means greater than i.e. >
Hence, more than 80 is represented as;
[tex]p > 80[/tex]
Which of the following shows how to simplify 2 (4a + 6)?
O 8a + 12
O 12a + 8
O 2a + 3
Answers
You have to work out between 2 x 4a = 8a
Then you work out between 2 x 6 = 12
8a + 12
please help me out, thank youuu !
Answers
Antonio writes the equation 80.4 ÷ d = 0.0804.
Part A
What value of d makes the equation true?
A. 10 to the 2 power
B. 10 to the 3 power
C. 10 to the 4 power
D. 10 to the 5 power
Answers
Answer:
B
Step-by-step explanation:
Because
A)
[tex]80.4 \div {10}^{2} = 0.8.4[/tex]
B)
[tex]80.4 \div 10^{3} = 0.0804[/tex]
C)
[tex]80.4 \div {10}^{4} = 8.04 \times {10}^{ - 3} [/tex]
D)
[tex]80.4 \times {10}^{5} = 8.04 \times {10}^{ - 4} [/tex]
Write the slope intercept form of the equation of each line given the slope and y intercept
Answers
Answer:
Heyy, could you please take a screenshot? It'll be so much easier to see haha. Try Snipping tool if you have Windows, and Command + Shift + 4 for screenshot on Mac. Then I can answer.
Step-by-step explanation: