The statement is false. An equation's solutions are points on a line; an inequality's solutions encompass a region on the plane.
Explanation:The statement is false. The solutions to a linear equation are the points (x, y) in the plane that make the equation true, not an inequality. An equation represents a line on the coordinate plane, and every point on that line is a solution to the equation. In contrast, an inequality describes a range or region of the coordinate plane, not just a single line, and the solutions are the coordinates within that range.
For instance, the solutions to the equation y = 2x + 3 are all the points on the line where this is true. On the other hand, solutions to the inequality y > 2x + 3 would be all the points in the region above the line y = 2x + 3.
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The assertion that solutions to a linear equation are the points that make an inequality true is incorrect. It is the solutions to a linear inequality that would make the inequality true.
Explanation:The statement provided in the question is false. Solutions to a linear equation are the points on the line that make the equation true, not an inequality. If we are dealing with a linear inequality, then its solutions are the points in the plane that satisfy the inequality, often forming a region, instead of just the points on a line.
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What is the length of XPY in terms of pi?
The length of arc XPY in the given circle with a radius 30m is in terms of pi is 45π.
It is given that
The radius r of the circle = 30m
Central angle α intended by arc XPY = 360-90 = 270°
α in radians = 270*π/180
α in radians = 3π/2
What is the formula for arc length?Arc length is the product of the central angle α and radius r of the given circle.
So, length of arc XPY:
l= r*α(in radians)
l =30* 3π/2
l = 45π
Therefore, the length of arc XPY in terms of pi is 45π.
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Kym spends an average of $78 per week on groceries. She can save 10% of her total grocery bill by joining the store's free shopper's club.About how much money will Kym save in a year (52 weeks) if she joins the shopper's club
20 POINTS AND A FOLLOW plus BRAINIEST IF RIGHT 1. What is the area of sector GHJ, given that 0=pi/4 radians ? Express your answer in terms of pi and as a decimal rounded to the nearest tenth. Show your work.
2. Construct the circle that circumscribes triangle DEF . Use a straightedge and a compass.
(show work by step)
The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\
Fórmula para sacar el área de un circulo
Rearrange the formula m =
x + y / 2
for y.
A) y = 2mx
B) y = 2m - x
C) y = x - 2m
D) y = 2m + x
In the year 2000, there were 200,000 cell phone subscribers in a city in New York. The number of subscribers increased by 60 percent per year after 2000. Which equation can be used to model the number of subscribers, y, in the city t years after 2000?
A) y=200,000(1+60)t
B) y=200,000(1+0.6)t
C) y=200,000(1-60)t
D) y=200,000(1-0.6)t
Answer: The answer is B
Step-by-step explanation:
If i = sqrt -1 what is the value of i3
A. -1
B. i
C. 1
D. -i
Answer:
The value of i3 is equal to D. -i
Step-by-step explanation:
We can find the answer by taking the definition of i :
i = sqrt(-1) (1)
i ^2 = (sqrt(-1)) ^2 = -1 (2) because square root and squaring are inverse operations
so from (2)
i ^3= i ^2* i = -1*i = -i
So -i is the final answer or – (sqrt(-1)) which is the same
If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long until it hits the ground?
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
A. 25%
B. 42.2%
C. 50%
D. 72.2%
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
A number line contains points Q, R, S, and T
Point Q is on the coordinate 24
Point R is on the coordinate 28
Point S is on the coordinate 29
Point T is on the coordinate 42
So, According to given condition,
QT is on the coordinate is given by
[tex]42-24=18[/tex]
ST is on the coordinate is given by
[tex]42-29=13[/tex]
So, probability that a point chosen at random on QT is on ST is given by
[tex]\frac{13}{18}\times 100\\\\=72.22\%[/tex]
Hence, option 'D' is correct.
Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°
URGENT
Answer:
Step-by-step explanation:Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.
Answer : 50° and 130°
To find the angle measures of the parallelogram, we set the expressions for opposite angles equal to each other, solve for 'n', and then determine the angle measures, which are 50° and 130° respectively.
Explanation:The students wants to find the two different angle measures of a parallelogram-shaped tile where two opposite angles are given by the equations (6n − 70)° and (2n + 10)°. Since opposite angles in a parallelogram are equal, we can set these two expressions equal to each other to find the value of 'n':
6n − 70 = 2n + 10
Solving for 'n', we get:
4n = 80
n = 20
Now, we'll plug the value of 'n' back into the expressions to get the angle measures:
6n − 70 = 6(20) − 70 = 120 − 70 = 50°
2n + 10 = 2(20) + 10 = 40 + 10 = 50°
Since opposite angles are equal in a parallelogram, the other two angles must also add up to 180°. Therefore, the other two angles are 180° - 50° = 130°. The angles of the parallelogram are 50° and 130°.
12,349 is what percent of of 278,901
Find the possible values of the included angle of a triangle with: A) sides of length 5 cm and 8 cm, and area of 15 cm^2
B) sides of length 45 km and 53 km, and area 800 km^2.
write the expression in complete factored form, 4c(y+3)+(y+3)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify by using radical. Rationalize denominators. 2a^-1\2
The probability that the Cubs win their first game is 1/3. The probability that the Cubs win their second game is 3/7. What is the probability that the Cubs win games?
The correct answer is:
1/7.
Explanation:
The two events, the Cubs winning their first game and the Cubs winning their second game, are independent. This is because the Cubs winning their first game does not affect the probability of the Cubs winning their second game.
Since the events are independent, to find the probability that both events occur, multiply the probabilities:
1/3(3/7) = (1*3)/(3*7) = 3/21 = 1/7
You and your friend Sam are going to paint your 300 square feet room together.
Sam takes 10 minutes to paint 25 square feet.
You take 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take us 15 minutes to paint 50 square feet!''
Write a EXCEPTIONAL explanation to convince Sam that he is wrong. Thank You.
What is the solution of the equation 2 + 3x = 7? round your answer to the nearest ten-thousandth. 0.2218 0.4522 0.6826 1.4650?
The solution to the equation 2 + 3x = 7 is x = 5/3. When rounded to the nearest ten-thousandth, the answer is 1.6667.
To find the solution to the equation 2 + 3x = 7, you first isolate the variable x by subtracting 2 from both sides of the equation.
This gives you 3x = 5.
Next, you divide both sides of the equation by 3 to solve for x, which yields x = 5/3.
When you divide 5 by 3 using a calculator, you get 1.66666666...
Since we need to round our answer to the nearest ten-thousandth, this becomes 1.6667.
Therefore, the solution to the equation 2 + 3x = 7, rounded to the nearest ten-thousandth, is 1.6667.
PLEASE HELP!
A circle is centered at (11, −9) and has a radius of 12.
What is the equation of the circle?
Enter the equation in the box using lower case variables x and y.
a speed camera takes two photographs of a car
Answer:The answer is 14.4 m/s
Step-by-step explanation:
5. A high school has 16 math teachers for 1856 math students. What is the ratio of math teachers to math students?
The ratios are calculated to know the quotient of two quantities. In order to find the ratio, the first quantity is written in numerator i.e. the upper part of the fraction and the second quantity is written in denominator i.e. the lower part of the fraction.
Here, it is given that the total number of Maths teachers are = 16
Total number of Maths students are = 1856
The ratio of Maths teachers to Maths students is calulated as -
Ratio of Maths teachers to Maths students = [tex] \frac{Maths Teachers}{Maths Students} [/tex] = [tex] \frac{16}{1856} [/tex]
Ratio of Maths teachers to Maths students = [tex] \frac{1}{116} [/tex] = 1:116
The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius
A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??
Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)? A) 6 B) 12 C) 23 D) 25
The unit rate is gallons per minute, which in this case is 2 gallons per minute. Therefore it will take 12 minutes to fill up a 24 gallon pool.
In which quadrant of the coordinate plane is (-2a - 3, -3b - 5), if a = -3 and b = 3?
After substituting a = -3 and b = 3 into the point (-2a - 3, -3b - 5), we get the point (3, -14), which lies in the fourth quadrant of the coordinate plane.
To determine in which quadrant of the coordinate plane the point (-2a - 3, -3b - 5) is located, we substitute the values a = -3 and b = 3 into the coordinates. First, for the x-coordinate we have:
-2(-3) - 3 = 6 - 3 = 3
And for the y-coordinate:
-3(3) - 5 = -9 - 5 = -14
The resulting point is (3, -14), which is located in the fourth quadrant because the x-value is positive and the y-value is negative.
Factor this trinomial.
x2 – 8x + 15
A. (x – 1)(x – 15)
B. (x – 3)(x + 5)
C. (x – 3)(x – 5)
D. (x – 1)(x + 15)
To factor x^2 -8x + 15, we find two numbers that multiply to get 15 and add to get -8. These two numbers can be -5 and -3. Therefore, this factors as
x^2 - 8x + 15 = (x-5)(x-3)
The sum of the square of a positive number and the square of 44 more than the number is 250250. what is the number?
Ok My last 2 questions please!!!
A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she launches 6 of them what’s the probability that 2 of them will be blue
[tex] \displaystyle
|\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\
|A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\
P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\% [/tex]
If the exchange rate changes from $1.45 = 1 euro to $1.37 = 1 euro, then