Examples in real life and physics provide contexts for understanding situations where a direct solution is not possible or applicable.
An absolute value problem with no solution is one where the absolute value expression is set to a negative number. Since the absolute value of any number represents its distance from zero on a number line, it can never be negative. Consequently, an equation like |x| = -3 has no solution because there is no real number x that, when taken as an absolute value, results in a negative number.
Real-world Example...
In everyday life, think of a scenario such as locking oneself out of an encrypted system without any means of retrieval. The problem can't be solved directly (as there is no way to bypass encryption), but one might approach the matter sideways by resetting the system entirely, which doesn't address the original issue of being locked out.
Physics Context
In physics, an example of a situation where there is a force and a displacement but no work is done is when the force is applied perpendicular to the direction of the displacement. Since work is defined as the dot product of force and displacement, when the angle between them is 90 degrees, this product and thus work is zero.
Which expression is equivalent to 2−35?
What is a complex fraction?
kathi starts with a number. she adds 3 to her number, then doubles the result. finally, she subtracts 7. if she ended with 9 what number did ahe start with
The table below shows the number of marbles of different colors in a bag:
Marble Experiment
Color of
Marbles Number of
Marbles
Red
5
White
8
Black
2
Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials? (5 points)
5 over 15 multiplied by 4 over 14
5 over 15 multiplied by 4 over 15
5 over 15 added to 4 over 14
5 over 15 added to 4 over 15
The correct answer is: 5 over 15 multiplied by 4 over 14
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given this, Deja draws a marble from the bag randomly without looking.
The total number of marbles in the bag is:
5 + 8 + 2 = 15
Deja draws a marble from the bag randomly without looking. Therefore, the probability of drawing a red marble in the first trial is:
P(red on first draw) = 5/15
Deja draws another marble from the bag without replacing the first one. Therefore,
The probability of drawing a red marble in the second trial, given that she drew a red marble in the first trial, is:
P(red on second draw | red on first draw) = 4/14
We multiply these probabilities because the events are independent (i.e., the outcome of the first draw does not affect the outcome of the second draw).
Therefore, the expression that shows the probability of drawing red marbles in both trials is:
= P(red on the first draw) × P(red on second draw | red on the first draw)
= (5/15) × (4/14) = 4/63
So the correct answer is: 5 over 15 multiplied by 4 over 14.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ3
A company manufactures 295 toy cars each day how many toy cars does the company manufacture and 34 days
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
What is the slope of the line represented by the equation y = – 2/3- 5x?
A. -5
B. -2/3
C.2/3
D. 5
PLS HELP TY
Answer:
Option A The slope of the line is [tex]-5[/tex]
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]y=-\frac{2}{3}-5x[/tex]
Rewrite
[tex]y=-5x-\frac{2}{3}[/tex]
therefore
[tex]b=-\frac{2}{3}[/tex] -----> the y-intercept
[tex]m=-5[/tex] ------> slope
Simplify this expression
Which linear inequality is represented by the graph?
y < 2/3x + 3
y >3/2 x + 3
y >2/3 x + 3
y < 3/2x + 3
The linear equality represented by the graphis [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex] and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex].
Further explanation:
From given graph, theline passes through points [tex]\left({3,5}\right)[/tex] and [tex]\left({ - 3,1}\right)[/tex] as shown below in Figure 1.
The slope of a line passes through points [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex] is calculated as follows:
[tex]m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{}}[/tex] ......(1)
Here, the slope of a line is denoted as and points are [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex].
Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] , [tex]-3[/tex] for [tex]{x_2}[/tex] and [tex]1[/tex] for [tex]{y_2}[/tex] in equation (1) to obtain the slope of a line that passes through points [tex]\left( {3,5}\right)[/tex] and [tex]\left({ - 3,1}\right)[/tex].
[tex]\begin{aligned}m&=\frac{{1 - 5}}{{ - 3 - 3}}\\&=\frac{{ - 4}}{{ - 6}}\\&=\frac{2}{3}\\\end{aligned}[/tex]
Therefore, the slope is [tex]\frac{2}{3}[/tex].
The point-slope form of the equation of a line with slope passes through point is represented as follows:
[tex]y - {y_1} = m\left({x - {x_1}}\right){\text{}}[/tex] ......(2)
Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] and [tex]\frac{2}{3}[/tex] for [tex]m[/tex] in equation (2) to obtain the equation of line.
[tex]\begin{aligned}y - 5 = \frac{2}{3}\left({x - 3} \right)\\3\left( {y - 5} \right) = 2x - 6\\3y - 15 = 2x - 6\\3y = 2x - 6 + 15\\\end{aligned}[/tex]
Further simplify the above equation.
[tex]\begin{aligned}3y=2x + 9\\y=\frac{2}{3}x+\frac{9}{3}\\y=\frac{2}{3}x + 3\\\end{aligned}[/tex]
Therefore, the value of [tex]y[/tex] is [tex]\dfrac{2}{3}x + 3[/tex].
Since the shaded part in Figure 1 is above the equation of line [tex]y = \dfrac{2}{3}x + 3[/tex], therefore, greater than sign is used instead of is equal to
Therefore, the inequality is [tex]y > \dfrac{2}{3}x + 3[/tex].
Now, the four options are given below.
[tex]\begin{aligned}{\text{OPTION A}}\to y < \frac{2}{3}x + 3 \hfill \\{\text{OPTION B}} \to y > \frac{3}{2}x + 3 \hfill \\{\text{OPTION C}} \to y > \frac{2}{3}x + 3 \hfill \\{\text{OPTION D}}\to y < \frac{3}{2}x + 3 \hfill\\\end{aligned}[/tex]
Since OPTION C matches the obtained equation that is [tex]y > \dfrac{2}{3}x + 3[/tex].
Thus, the linear equality represented by the graph is [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex]and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex]
Learn more:
1. Which classification best describes the following system of equations? https://brainly.com/question/9045597
2. What is the value of in the equation when ? https://brainly.com/question/3965451
3. What are the values of x?https://brainly.com/question/2093003
Answer Details:
Grade: Junior High School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords: Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point, inequality
ken had a number of colored marbles in a bag. 1/4 of the marbles were red, 2/3 of the marbles were blue, and the rest were yellow. Given that there were 120 red and yellow marbles all together, how many marbles were there in the bag
what does coplanar mean
What number makes the the number sentence true 420,008 - 9,569 =n
Answer: its 410439
(all u need to do is subtract!)
PLEASE HELP!!! I WILL RATE BRAINLIEST TO THE FASTEST AND CORRECT ANSWER!!!
Which sets of values can be the measures of the exterior angles of a triangle? Click all that apply.
120°, 110°, 130°
35°, 103°, 122°
123°, 87°, 220°
120°, 120°, 120°
123°, 157°, 90°
The angles are within the range of angles are 120°, 110°, 130° and 120°, 120°, 120°
The exterior angle of a triangle is the sum of its exterior angles. The exterior angle of a triangle is obtuse in nature and obtuse angles are angles that are greater than 90 but less than 180 degrees.]Hence the set of angles required must fall within the range [tex]90^0<\theta<180^0[/tex]From the given options, the angles are within the range of angles are 120°, 110°, 130° and 120°, 120°, 120°
Learn more on exterior angles here: https://brainly.com/question/24231058
7 indian and 4 chinese finish a job in 5 days. 7 japanese and 3 chinese finish the same job in 7 days. given that the efficiency of each person of a particular nationality is same but different from others.one chinese,one indian and one japanese will complete the work in
The question is about work and efficiency and requires solving a system of equations to find the individual work rates of people from different nationalities. However, because we have insufficent data (two equations but three unknowns), we cannot find a unique solution and thus can't determine how long it would take for one Chinese, one Indian, and one Japanese to complete the work together.
The student's schoolwork question involves solving a problem related to work and efficiency, which is a part of mathematics, specifically related to rate and work problems.
First, let's find the rate of work done by individuals from each nationality. We can set up the equations based on the given information:
Let's denote the efficiency of one Indian as I, one Chinese as C, and one Japanese as J.According to the given information:We will need to solve this system of equations to find the individual efficiencies I, C, and J. However, we have two equations and three unknowns, so we cannot find unique solutions for I, C, and J unless we have one more equation or information.
Since we cannot determine the individual efficiencies with the given information, we cannot determine how long it would take one Chinese, one Indian, and one Japanese to complete the work.
After 4 months of living in her dorm room, Molly had 5 fish. Eight months later, Molly still had 5 fish. Which of the graphs below models Molly's fish population?
SOMEONE, PLEASE HELP URGENTLY <3
What shape is generated when rectangle ABCD is rotated around the horizontal line through D and A?
A. Prism
B. Pyramid
C. Cone
D. Cylinder
(I really need help!!!)
x + 14 + (-x)
A box of 21 holiday cards sells for $3.99. What is the unit price per card?
I need help with this question please
3x - 13 = 7(x+2) - 4(x-7)
Gavin bought 4 packages of cheese. Each package weighed 1.08 kilograms. How many kilograms of cheese did Gavin buy?
i need help with this one!
Factor 4x^2+8x-21 completely
Ryan has a shelf that is 64 over 3 inches wide. How many magazines can Ryan arrange on the shelf if each magazine is 4 over 3 inches thick?
Best Answer Gets Brainliest
The double box-and-whisker plot represents the runs scored per game by two softball teams during a 32-game season. a. Which team is more consistent at scoring runs? Explain. b. In how many games did Team 2 score 6 runs or less? c. Team 1 played Team 2 once during the season. Which team do you think won? Explain. d. Which team do you think has the greater mean? Explain
Answer its, C and standard deviation, lowest
Step-by-step explanation:
a set of data can have no mode true or false
True, A set of data can indeed have no mode. In statistics, the mode represents the value(s) that appear most frequently in a dataset.
However, there are scenarios where no value occurs more frequently than others, resulting in a lack of a mode. This can happen in several situations. For example, in a uniform distribution where all values occur with equal frequency, or in a dataset with no repetition of values (each value occurs only once). Additionally, if the data is continuous and does not have distinct categories or intervals, it may not have a mode. In summary, while a mode is a common descriptive statistic, it's not a requirement for every dataset, and some datasets do indeed have no mode.
Find 3 consecutive integers whose sum is 180
the lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45in. What is the length of the shortest side of the triangle?
21/99 simplified in fraction