Por lo tanto, el valor de x e y es 5, 8.
¿Qué es el método de sustitución?El método utilizado para resolver el sistema de ecuación, en este el valor de una variable se sustituye de una ecuación a otra para encontrar la solución.
Está dado
(x+1)/3 -(y-1)/2 = 1 -----1
7x -4(x+y) = 4 ------2
Resolviendo la segunda ecuación
7x -4x-4y = 4
3x -4y = 4
3x = 4+4y
x = (4+4y) / 3
Sustituyendo este valor en la ecuación 1
2(x+1) - 3(y-1) = 6
2x +2 -3y+3 = 6
2x -3y = 1
2(4+4y)/3 - 3y = 1
8 + 8y - 9y = 3
-y = -5
y = 5
x = 24/3 = 8
Por lo tanto, el valor de x e y es 5, 8.
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2. Solve using the standard algorithm.
9.8: 5 =
55918
Answer:
1.6
Step-by-step explanation:
sorry if i'm wrong mate
An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth? An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth?
The amount of sales before growth according to the article is $153.85 million
How to find sales before growth?let
Sales before growth = xPercentage growth = 30%New sales = $200 million200 = x + (30% × x)
200 = x + (0.3 × x)
200 = x + 0.3x
200 = 1.3x
x = 200/1.3
x = 153.846153846153
Approximately,
x = $153.85 million
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
PLEASE HELP ME ASAP
( I WILL MARK BRAINLIEST! )
Answer:
7/12 + 2/3 q
Step-by-step explanation:
hope this helps :)
explain how to write function rule from the table below. Then write a function fule. x=0,2,4,6. y=2,1,0,-1
Both representations are equivalent and describe the same function.the function rule for this table is: f(x) = -1/2 x 2
What do you mean by Slope in Graph ?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.
To write a function rule for a given array, we need to determine how the values in the output column (y) relate to the values in the input column (x).
Looking at the given data, we notice that the output values decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .
The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values decrease by 1 every time the input values increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.
Therefore, the function rule for this table is:
f(x) = -1/2 x 2
where x is the input value and f(x) is the output value.
Alternatively, we can also represent the function in table entries, for example:
f(0) = 2
f(2) = 1
f(4) = 0
f(6) = -1
Both representations are equivalent and describe the same function.
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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?
ITS DO TODAY HELPPPPPPP
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
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10. The total cost of shipping toys from a specific company is $5 plus $2.50 times the number of toys purchased
Answer:y=2.50x+5
Step-by-step explanation:
y=2.50x+5
that's all i can do with the information provided
Arrange from shortest to longest. 3/8, 3/6, 3/4.
Answer: it already is.
Step-by-step explanation: The more pieces are cut, the smaller they get so the bigger the denominator, the bigger the piece
Name the vertex ot XYZ.
Answer:
Line BStep-by-step explanation:
When naming lines, you can use the label of the line, in this case, m, and can also name the points in either direction, since the line goes on forever in both directions (it's different with rays). The leaves only line B as an answer.
The vertex of XYZ would be Y, since the vertex is always the middle number.
I'm always happy to help :)Two houses on the same side of the street have house numbers that are consecutive
even integers. The sum of the integers is 58. What are the two house numbers?
Answer: 28 and 30
Step-by-step explanation:
Let the house numbers on the street be represented by n and n+2 sine they are consecutive even integers. Therefore,
n + (n + 2) = 58
2n + 2 = 58
2n = 58 - 2
2n = 56
n = 56/2
n = 28
Therefore the second number will be:
= n + 2
= 28 + 2
= 30
The numbers are 28 and 30
Multiple choice
1. given the figure below what is the correct name for ←2. choose all that apply
The distances, in light years, of four stars from a space probe are shown. Put the stars in order from the closest one (least distance) to the farthest one (greatest distance). 0.886 0.883 1.25 0.89
A.
0.883, 0.886, 0.89, 1.25
B.
0.883, 0.886, 1.25, 0.89
C.
1.25, 0.89, 0.886, 0.883
D.
0.886, 0.883, 0.89, 1.25
The stars in order from the closest one to the farthest one are:
0.883, 0.886, 0.89, 1.25
so, the answer is A.
What is a sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).
To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.
That means we need to start with the smallest value and move toward the largest value.
Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.
Putting the given distances in ascending order, we get:
0.883, 0.886, 0.89, 1.25
Therefore, the stars in order from the closest one to the farthest one are:
0.883, 0.886, 0.89, 1.25
so, the answer is A.
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Find that the radius of curvature of ^2y=x^3-a^3
at the point where the
curves cut the X-axis.
The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).
To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.
When the curve intersects the x-axis, y=0. Therefore, we have:
a⁰ = x³ - a³
x³ = a³
x = a
Next, we need to find the derivative of y with respect to x:
dy/dx = -2x/(3a²√(x³-a³))
At the point where x=a and y=0, we have:
dy/dx = -2a/(3a²√(a³-a³)) = 0
Therefore, the radius of curvature is given by:
R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)
To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:
d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))
At x=a, we have:
d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³
Therefore, the radius of curvature is:
R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)
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on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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Si 3,390 kg de plomo ocupan un volumen de 0.3m3. Encuentra la densidad del plomo.
The density of lead is 11,300 kg/\(m^3\), which means that lead is a dense material with a significant mass per unit volume.
To find the density of lead, we can use the formula:
Density = Mass / Volume
Given that the mass of lead is 3,390 kg and the volume is 0.3 \(m^3\), we can substitute these values into the formula:
Density = 3,390 kg / 0.3\(m^3\)
To simplify the calculation, we divide the mass by the volume:
Density = 11,300 kg/\(m^3\)
Therefore, the density of lead is 11,300 kg/\(m^3\).
Density is a physical property of a substance that describes how much mass is packed into a given volume. In this case, the density of lead tells us that for every cubic meter of lead, there are 11,300 kilograms of mass.
It is important to note that the density of lead is a characteristic property and remains constant regardless of the size or shape of the sample. It is a useful parameter in various scientific and industrial applications.
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The question probable may be:
If 3,390 kg of lead occupy a volume of 0.3 m^3, find the density of lead.
Step by step explanation please!!
Answer:
what do you mean on the question?
Step-by-step explanation:
Solve equation by using the quadratic formula.
25x^2 + 35x = -12
NO LINKS!!! URGENT HELP PLEASE!!!
Express the statement as an inequality.
a. x is negative
1. x = 0
2. x < 0
3. x > 0
4. x ≥ 0
5. x ≤ 0
b. y is nonnegative .
1. y < 0
2. y ≥ 0
3. y ≤ 0
4. y = 0
5. y > 0
c. q is less than or equal to π
1. q = π
2. q < π
3. q > π
4. q ≥ π
5. q ≤ π
Answer:
Step-by-step explanation:
a. x is negative: x < 0
b. y is nonnegative: y ≥ 0
c. q is less than or equal to π: q ≤ π
Answer:
a.
2. x < 0
b.
2. y ≥ 0
c.
5. q ≤ π
Step-by-step explanation:
To express the given statements as an inequality, we need to determine the relationship between the given quantities.
a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.
b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.
c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.
Margie makes a necklace using 14 purple beads for every 6 silver beads. The necklace contains 80 beads. How many of each color bead are in the necklace?
The quantity of each colour beads that are in the necklace include the following:
Purple beads = 56
Purple beads = 56silver beads = 24
Purple beads = 56silver beads = 24What is a ratio?A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.
The number of purple beads = 14
The number of silver beads ,= 6
The total quantity of beads = 80
Therefore the total combination = 14+6 = 20
For purple beads = 14/20 × 80/1
= 1120/20 = 56
For silver beads = 6/20×80/1
= 480/20= 24
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1. The area of a square is less than 25cm2. What can we say about
a. The length of one of its sides?
b. Its perimeter?
Step-by-step explanation:
Let us take a nominal square of area 25 cm².
It's length of one of it's sides will be √25 = 5 cm².It's perimeter will be 5*4 = 20 cm.So, in this question, we can say that:-
a. The length of one of its sides will be less than 5 cm.
b. Its perimeter will be less than 20 cm.
Hope it helps :)
Step-by-step explanation:
area= 25cm squared
length of one side = 5cm as 5*5 =25
perimeter= 5*4= 20cm
But since the area is less than 25cm squared
we can say that the length of one side is less than 5cm and we can also say that the length of the perimeter is less than 20cm.
Hope this helps.
i will love you forever i just need help
Answer:
then love me more also, i bet the answer is pi
Step-by-step explanation:
Solve Two-thirds x minus one-fifth greater-than 1. x >
Answer:
x > 9/5Step-by-step explanation:
The above statement is written as
\( \frac{2}{3} x - \frac{1}{5} > 1\)
Multiply through by the LCM of 3 and 5 which is 15
So we have
\(15 \times \frac{2}{3} x - 15 \times \frac{1}{5} > 15 \\ \\ 10x - 3 > 15 \\ \\ 10x > 15 + 3 \\ \\ 10x > 18 \\ \\ x > \frac{18}{10} \\ \\ x > \frac{9}{5} \)
Hope this helps you
Answer: The answer is x > 9/5.
Hope this helps!! Also please put as brainlist answer really need it would really aprecite it please.
I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for the correct answer :)
Answer:
Best anwser to use is Mode. Where you have the most
Step-by-step explanation:
How do you determine an end behavior of a logarithmic graph?
The end behavior of the parent function is consistent.
As x approaches infinity, the y-values slowly get larger, approaching infinity. As x approaches 0 from the right (denoted as x → 0+), the y-values approach negative infinity.
Use the following predicates when describing an object: Green, Blue, Red, Rectangle, Oval, Diamond, Border For example: Green(H) = True because object H is green Border(H) = False because object H has no border Problem 6 [21 points] For each statement below, write the contrapositive, the converse and the inverse using english (no logical operators needed). Tell which of the four statements (the three you wrote, in addition to the original statement) is true or false. If a statement is false, provide a counter-example. (example) Original Conditional Statement (P - Q): If an object is green, then it is a rectangle. False. Object H is green but it is also not a rectangle. Contrapositive (not Q - not P): If an object is not a rectangle then it is not green. False. Object H is not a rectangle but it is also green. Converse (Q - P) If an object is a rectangle then it is green. False. Object P is a rectangle but it is also not green. Inverse (not p → not q) If an object is not green then it is not a rectangle. False. Object P is not green but it is also a rectangle. (a) If an object is red, then it has a border. (b) If an object is a rectangle, then it is red and has a border. (c) If an object is red or blue then it has a border.
(a)Contrapositive: If an object does not have a border, then it is not red.
Converse: If an object has a border, then it is red.
Inverse: If an object is not red, then it does not have a border.
(b)Contrapositive: If an object is not red or does not have a border, then it is not a rectangle.
Converse: If an object is a rectangle, then it is red and has a border.
Inverse: If an object is not red or does not have a border, then it is not a rectangle.
(c)Contrapositive: If an object does not have a border, then it is not red or blue.
Converse: If an object is red or blue, then it has a border.
Inverse: If an object does not have a border, then it is not red or blue.
a) Original Conditional Statement (P - Q): If an object is red, then it has a border.
Contrapositive (not Q - not P): If an object does not have a border, then it is not red.
Converse (Q - P) If an object has a border then it is red.
Inverse (not p → not q) If an object is not red then it does not have a border.
The contrapositive is true, while the converse and inverse are false. For example, object H may have a border but not be red.
b) Original Conditional Statement (P - Q): If an object is a rectangle, then it is red and has a border.
Contrapositive (not Q - not P): If an object is not red and does not have a border, then it is not a rectangle.
Converse (Q - P) If an object is red and has a border, then it is a rectangle.
Inverse (not p → not q) If an object is not a rectangle then it is not red or does not have a border.
The contrapositive is true, while the converse and inverse are false. For example, object H may be red and have a border but not be a rectangle.
c) Original Conditional Statement (P - Q): If an object is red or blue, then it has a border.
Contrapositive (not Q - not P): If an object does not have a border, then it is not red or blue.
Converse (Q - P) If an object has a border then it is red or blue.
Inverse (not p → not q) If an object is not red or blue then it does not have a border.
The contrapositive and converse are true, while the inverse is false. For example, object H may have a border but not be red or blue.
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If ⅔ of a number is 20 what is ½ of the number?
Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
the answer is in the image above
How many times larger is 1.2*10^8 than 6*10^3
Answer:
1.2×10⁸ is greater than 6×10³ by a factor of 2×10⁴, or 20000.
Step-by-step explanation:
You can solve this simply by dividing the first one by the second one:
\(\frac{1.2\times 10^8}{6\times 10^3} \\\\= \frac{1.2}{6} \times \frac{10^8}{10^3} \\\\= \frac{12}{6} \times \frac{10^7}{10^3} \\\\= 2.0 \times 10^4 \\\\\)
17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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