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
aurav went to school for 216 days in a full year. If his attendance is 90%, find the number of days on
which the school was open.
Answers
Answer:
The school was open for 240 days
Step-by-step explanation:
216 / x = 90%/100%
216*100= 21,600
21,600/90 = 240
What is the approximate volume?
Answers
Answer:
B
Step-by-step explanation:
1) find the base area
base area = side^2 = 30^2 = 900 m^2
2) find the Volume
V = (base area x height)/3 = (900 x 21)/3 = 6300 m^3
Answer:
B) 6,300 m³
Step-by-step explanation:
The volume of approximate = L×W×H/3
30×30×21/3=
answer: 6,300
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hope it helps...
have a great day!!
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6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?
Answers
Answer:
No,the pizza will not fit in the box
Step-by-step explanation:
Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box
to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²300 = 3.142 × r²[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 incheswha the MIDPOINT of (-6, 8) and (6, -7)
Answers
hope this helps
Answer:
here you are:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
Step-by-step explanation:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
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]
Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?
Answers
Answer:
9 cm²
Step-by-step explanation:
Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?
We solve the above question, using the Area of a Triangle
Area = 1/2 × Base × Height
Area = 1/2 × 3 × 6
Area = 9 cm²
Therefore, the total wore that was used was 9cm² of wire
Find the Area of the Trapezoid.
Answers
Answer:
18 ft^2
Step-by-step explanation:
A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\
Answers
Answer:
5 units
Step-by-step explanation:
Area swept by the floor will be the area ofd a sector
Area of a sector = theta/2π * πr²
We are to find the radius r
Given
Area= 25π/12
theta = 30° = π/6
Substitute
25π/12 = 30/360 * πr²
25π/12 = 1/12 * πr²
25/12 = r²/12
r² = 25
r = √25
r = 5
Hence the radius od the part swept by the door is 5 units
Use PEMDAS to evaluate the expression 7 x 6 + 8 − 16 ÷ 4.
Answers
Answer:
7x^6 + 4
Step-by-step explanation:
What is the area in square centimeters of the trapezoid below
Answers
Answer:
39.6 cm²
Step-by-step explanation:
The formula for the area of a trapezoid is given as:
Area of a Trapezoid = 1/2(a + b) h
Where, from the question:
a = 8.9 cm
b = 5.5 cm
h = 5.5cm
Hence,
1/2 (8.9cm + 5.5cm) × 5.5cm
= 1/2 × 14.4 cm × 5.5 cm
= 39.6 cm²
Area of the Trapezoid = 39.6 cm²
A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.
Answers
Answer:
2.5 teaspoons
Step-by-step explanation:
75/15 = 5
1/2 · 5 = 2.5
Answer:
2.5 teaspoons of sugar
Step-by-step explanation:
[tex]\frac{15}{0.5} =\frac{75}{y}[/tex]
Cross multiply.
15 × y = 0.5 × 75
15y = 37.5
15y ÷ 15 = 37.5 ÷ 15
y = 2.5
Solve for the values of x and y:
y = 3x - 5 ........(i) and y = -x + 7 ........(ii)
Answers
Answer:
x= 3, y= 4
Step-by-step explanation:
y= 3x -5 -----(i)
y= -x +7 -----(ii)
Substitute (i) into (ii):
3x -5= -x +7
3x +x= 7 +5
4x= 12
x= 12 ÷4 (÷4 on both sides)
x= 3
Substitute x= 3 into (ii):
y= -3 +7
y= 4
factor completely;
3x^2+4x-7
Answers
Answer:
(3x-7) (x+1)
Step-by-step explanation:
3x^2 - 4x - 7
First split the middle term
3x^2 + 3x - 7x - 7
Make into two separate expressions
(3x^2 + 3x) (-7x-7)
Take out what you can
3x (x+1) -7 (x+1)
Now you have your answers
(3x-7) (x+1)
Just answer the question in the picture. It's just math vocab! DO NOT answer for points OR SPAM LINKS!!! I will REPORT!
Answers
Answer:
A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The distance from the center to the circumference of a circle
The diameter is the length of the line through the center that touches two points on the edge of the circle.
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.
A line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. The diameter is twice the size of the radius. A line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. A circle is the same as 360°.
A line that intersects two or more points on a curve. (From the Latin secare "to cut")
The length of the side opposite the angle divided by the length of the adjacent side.
A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency. A secant is a line that intersects a circle in exactly two points.
Common tangents to two circles may be internal or external. A common internal tangent intersects the line segment connecting the centers of the two circles whereas a common external tangent does not.
Step-by-step explanation:
they are in order! tell me if i made a mistake:)
If 10x+6y=7 is a true equation, what would be the value of 6(10x+6y)?
Answers
Answer:
42
Step-by-step explanation:
We know that 10x + 6y = 7, and so
6(10x + 6y) = 6(7) = 42
Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%
Answers
Answer:
I think its B
Step-by-step explanation:
Factorise using the sum and product method with all the steps!
British curriculum
No links or websites please !
Answers
Answer:
(2x+3)(x-5)
Step-by-step explanation:
Given the expression 2x²-7x-15
Factorize
2x²-10x+3x-15 =0
2x(x-5)+3(x-5)
(2x+3)(x-5)
Hence the factored form of the expression is (2x+3)(x-5)
HI thts way tooo much to answer but ye
WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)
Answers
Answer:
2(n+1)+2
You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.
Determine if the expression 9y^5+ y − 3y^3is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
Answers
In ΔWXY, the measure of ∠Y=90°, WY = 8, YX = 15, and XW = 17. What ratio represents the tangent of ∠X?
Answers
Answer:
8/17
Step-by-step explanation:
Mrs. Byrne’s class went raspberry picking. The data below show the weights of the cartons of raspberries the students picked.
Answers
The perimeter of a square is 12x - 8. Which of the following is the length of
one side of the square?
Answers
Answer:
3x-2
Step-by-step explanation:
12x-8/4 = 3x-2 is one side length of a square
HELP! Jameson works as a cashier in a music store. A customer wants to pay
for a CD that is on sale for 15% off the regular price of $18,00
15% off
Rock 'N' Roll
greatest HITS
The cash register is broken, and Jameson must calculate the price of the
CD using only a calculator
a. What is the sale price of the CD? Show or explain how you got your
answer
b. Jameson needs to add 6%
sales tax to the sale price of the CD. What
should Jameson charge the customer for the CD, including tax? Show
or explain how you got your answer.
c. The customer told Jameson that he could get the same answer and
save time by just taking 9% off the regular price of the CD, because
15% -6% is 9%. Is the customer right? Explain your reasoning.
LOOK AT PIC FOR HELP!
thanks
Answers
Answer:
A=15.30, b=16.22, c=no. 9% of 18 doesn’t equal 16.22
Step-by-step explanation:
Solve. 1/2(4x + 2/5) = 4/5
Answers
Answer:
[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]
Answer:
x = 3/10
Step-by-step explanation:
Given equation,
→ 1/2(4x + 2/5) = 4/5
Let's solve the problem,
→ 1/2(4x + 2/5) = 4/5
→ 2x + (1/5) = 4/5
→ 2x = (4/5) - (1/5)
→ x = (3/5) × (1/2)
→ [ x = 3/10 ]
Thus, the value is 3/10.
An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?
Answers
Answer:
After 3 seconds
Step-by-step explanation:
Given
[tex]h(t) = -5t^2 + 14t + 3[/tex]
Required
Time the drop will hit the ground
When the drop hits the ground,
[tex]h(t) = 0[/tex]
So, we have:
[tex]0 = -5t^2 + 14t + 3[/tex]
Rewrite as:
[tex]5t^2 - 14t - 3 = 0[/tex]
Expand
[tex]5t^2 + t - 15t - 3 = 0[/tex]
Factorize
[tex]t(5t + 1) -3(5t + 1) = 0[/tex]
Factor out 5t + 1
[tex](t -3)(5t + 1) = 0[/tex]
Split
[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]
Solve for t
[tex]t = 3[/tex] or [tex]5t = -1[/tex]
Time cannot be negative.
So:
[tex]t = 3[/tex]
Determine if each pair of triangles is congruent. If so, write the congruence
statement and explain how you know the triangles are congruent.
Answers
Answer:
top one, yes. by the SSS theorem
bottom one, no. The bases are not congruent
Step-by-step explanation:
Jason has a bag of 30 pencils. Each pencil is 18 centimeters long. What is the combined length of the pencils in meters?
Answers
can someone help me please this is a major grade
Answers
Answer:
$7.63
Step-by-step explanation:
well 6/10 is the same as 0.6 and 3/100 is the same as 0.03
so when you add the 7and 0.6 =7.6 +0.03=7.63
Answer:
7.63
Step-by-step explanation:
7 dollars - 7.00
0.6 dollar - 0.6
0.03 dollar - 0.03
(becoming)
7.00
0.6
0.03
-----------
$7.63
^line up the decimals while adding
Hopefully this helps,
-Rose
Please help...My answer is close but not close enough..
No links :)
Answers
Answer:
76
Step-by-step explanation:
(5x3)+(5x3)=30
15-6=9
5x9=45
45+30=75
Since 76 is the closest to 75 it's 76
What is the difference between the number of solutions for a two-step equation and for a two-step inequality
Answers
Answer:
A two-step equation is something like:
A*X + B = C
In this case, like in a linear equation, we have only one solution that can be found as:
A*X = C - B
X = (C - B)/A
In the case of a two-step inequality, we have something like:
A*X + B > C
Solving this we get;
A*X > C - B
X > (C - B)/A
In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.
That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.
