Maths-
General
Easy
Question
Solve 3.5x+19≥1.5x-7
Hint:
Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality.
The correct answer is: x≥-13
Step 1 of 1:
Rearrange and solve the inequality,
Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. We could also solve the inequality by graphing it.
Related Questions to study
Maths-
Determine whether each graph represents a function ?
Step by step solution:
We consider the first graph.
We can observe that any vertical line drawn on the graph cuts the line at exactly one point
Hence, this graph represents a function.
The second graph is
Again, we can observe that any vertical line drawn cuts the graph at exactly one point.
Hence, this graph is also a function.
Finally, consider the third graph.
If we draw a vertical line at the origin, that is, the y-axis, we can see that it cuts the graph at two points.
Thus, this graph is not a function.
We consider the first graph.
We can observe that any vertical line drawn on the graph cuts the line at exactly one point
Hence, this graph represents a function.
The second graph is
Again, we can observe that any vertical line drawn cuts the graph at exactly one point.
Hence, this graph is also a function.
Finally, consider the third graph.
If we draw a vertical line at the origin, that is, the y-axis, we can see that it cuts the graph at two points.
Thus, this graph is not a function.
Determine whether each graph represents a function ?
Maths-General
Step by step solution:
We consider the first graph.
We can observe that any vertical line drawn on the graph cuts the line at exactly one point
Hence, this graph represents a function.
The second graph is
Again, we can observe that any vertical line drawn cuts the graph at exactly one point.
Hence, this graph is also a function.
Finally, consider the third graph.
If we draw a vertical line at the origin, that is, the y-axis, we can see that it cuts the graph at two points.
Thus, this graph is not a function.
We consider the first graph.
We can observe that any vertical line drawn on the graph cuts the line at exactly one point
Hence, this graph represents a function.
The second graph is
Again, we can observe that any vertical line drawn cuts the graph at exactly one point.
Hence, this graph is also a function.
Finally, consider the third graph.
If we draw a vertical line at the origin, that is, the y-axis, we can see that it cuts the graph at two points.
Thus, this graph is not a function.
General
Choose the negative adjectives starting with ' u '
Correct answer a) unattractive.
Explanation-Negative adjectives are the word that explains / pronounce negatively.
Explanation-Negative adjectives are the word that explains / pronounce negatively.
Choose the negative adjectives starting with ' u '
GeneralGeneral
Correct answer a) unattractive.
Explanation-Negative adjectives are the word that explains / pronounce negatively.
Explanation-Negative adjectives are the word that explains / pronounce negatively.
Maths-
Describe the possible values of x.
- Step-by-step explanation:
- Given:
a = x + 11, b = 2x + 10, and c = 5x - 9.
- Step 1:
- First check validity.
According to triangle inequality theorem,
c - b < a < b + c,
(5x – 9) – (2x + 10) < x + 11 < (2x + 10) + (5x – 9)
3x - 19 < x + 11 < 7x + 1
First consider,
x + 11 < 7x + 1,
11 – 1 < 7x - x
10 < 6x
< x,
1.6 < x
Now, consider,
3x - 19 < x + 11
3x - x < 11 + 19
2x < 30
x < 
,
x < 15
therefore,
1.6 < x < 15
- Final Answer:
Describe the possible values of x.
Maths-General
- Step-by-step explanation:
- Given:
a = x + 11, b = 2x + 10, and c = 5x - 9.
- Step 1:
- First check validity.
According to triangle inequality theorem,
c - b < a < b + c,
(5x – 9) – (2x + 10) < x + 11 < (2x + 10) + (5x – 9)
3x - 19 < x + 11 < 7x + 1
First consider,
x + 11 < 7x + 1,
11 – 1 < 7x - x
10 < 6x
< x,
1.6 < x
Now, consider,
3x - 19 < x + 11
3x - x < 11 + 19
2x < 30
x < ,
x < 15
therefore,
1.6 < x < 15
- Final Answer:
Maths-
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Hint:
A quadratic equation is when the polynomial has a degree two. A graph is a geometrical representation of an equation.
We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.
Step 1 of 2:
The given equation is
Re arranging them, we have:
Step 2 of 2:
Graph the quadratic equation:
The solution is
.
Note:
A quadratic equation can be solved using different identities and even simplifying them.
A quadratic equation is when the polynomial has a degree two. A graph is a geometrical representation of an equation.
We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.
Step 1 of 2:
The given equation is
Re arranging them, we have:
Step 2 of 2:
Graph the quadratic equation:
The solution is
.Note:
A quadratic equation can be solved using different identities and even simplifying them.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Maths-General
Hint:
A quadratic equation is when the polynomial has a degree two. A graph is a geometrical representation of an equation.
We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.
Step 1 of 2:
The given equation is
Re arranging them, we have:
Step 2 of 2:
Graph the quadratic equation:
The solution is.
Note:
A quadratic equation can be solved using different identities and even simplifying them.
A quadratic equation is when the polynomial has a degree two. A graph is a geometrical representation of an equation.
We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.
Step 1 of 2:
The given equation is
Re arranging them, we have:
Step 2 of 2:
Graph the quadratic equation:
The solution is
.Note:
A quadratic equation can be solved using different identities and even simplifying them.
Maths-
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Answer:
c < a + b
a = 5 inches, b = 12 inches.
c < a + b
∴ c < 5 + 12
c < 17
b – a < c < a + b
12 – 5 < c < 5 + 12
7 < c < 17
Hence, all numbers between 7 and 17 will be the length of third side.
- Hints:
- Triangle inequality theorem
- According to this theorem, in any triangle, sum of two sides is greater than third side,
- a < b + c
c < a + b
- while finding possible lengths of third side use below formula
- Step-by-step explanation:
- Given:
a = 5 inches, b = 12 inches.
- Step 1:
- Find length of third side.
c < a + b
∴ c < 5 + 12
c < 17
- Step 2:
b – a < c < a + b
12 – 5 < c < 5 + 12
7 < c < 17
Hence, all numbers between 7 and 17 will be the length of third side.
- Final Answer:
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Maths-General
Answer:
c < a + b
a = 5 inches, b = 12 inches.
c < a + b
∴ c < 5 + 12
c < 17
b – a < c < a + b
12 – 5 < c < 5 + 12
7 < c < 17
Hence, all numbers between 7 and 17 will be the length of third side.
- Hints:
- Triangle inequality theorem
- According to this theorem, in any triangle, sum of two sides is greater than third side,
- a < b + c
c < a + b
- while finding possible lengths of third side use below formula
- Step-by-step explanation:
- Given:
a = 5 inches, b = 12 inches.
- Step 1:
- Find length of third side.
c < a + b
∴ c < 5 + 12
c < 17
- Step 2:
b – a < c < a + b
12 – 5 < c < 5 + 12
7 < c < 17
Hence, all numbers between 7 and 17 will be the length of third side.
- Final Answer:
General
Identify the common noun in the given sentence
"The mice are afraid of a cat"
Correct answer a) Mice
Explanation-Mice Words which are used as names of persons, animals, places or things a
Explanation-Mice Words which are used as names of persons, animals, places or things a