How do you solve day and work problems?
You can take the total work to be equal to 120 units (the LCM of 24, 20 & 8). That implies A does 120/24 = 5 units a day, B does 120/20 = 6 units a day. Together they finished the work in 8 days means they are doing 120/8 = 15 units a day. Let the units done by C per day be = c.
How do you solve linear equations with age problems?
Let the age of the younger person be x. Then the age of the second person will be (x + 20) years. Five years ago their ages would have been x – 5 years and x + 20 years. Therefore as per the question, we have: 5 (x – 5) = (x + 20 – 5) or 4x = 40 or x = 10.
What is the rate of work?
The rate of doing work is equal to the rate of using energy since the force transfers one unit of energy when it does one unit of work. A horsepower is equal to 550 ft lb/s, and a kilowatt is 1000 watts.
What is work and time?
Work is the effort applied to produce a deliverable or accomplish a task. A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R).
What is twice as old?
“twice as old as” means we will be multiplying by 2.
How do you identify a quadratic equation?
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant “a” cannot be a zero.
Is 4m² 4m 1 0 a linear equation?
Therefore it is quadratic. An equation will be considered linear if its highest power is 1.
Is 5x 3 a linear equation?
This form is called the standard form of a linear equation. Example 1: Determine whether the equation y = 5x – 3 is linear or not….
| x | y = 5x – 3 | (x, y) |
|---|---|---|
| -1 | y = 5(-1) – 3 = -8 | (-1, -8) |
| 0 | y = 5(0) – 3 = -3 | (0, -3) |
| 1 | y = 5(1) – 3 = 2 | (1, 2) |
Is 2s 3t =- 7 a linear equation?
It is a linear equation with two variables. It’s linear because it doesn’t have any exponents or other functions to make a curved graph.
How do you solve problems with age easily?
Important Statements and Equations for “Problems based on Ages”:
- If the present age is y, then n times the present age = ny.
- If the present age is x, then age n years later/hence = x + n.
- If the present age is x, then age n years ago = x – n.
- The ages in a ratio a: b will be ax and bx.
What does a linear equation look like?
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y).
Is x2 5x 3 0 a linear equation?
No, it isn’t. Linear equations or expressions are in degree 1, like x + 3 = 0.
How do you determine your age trick?
First you multiply your shoe size by five. Step two is to add 50 to that number, and then you take that total and multiply it by 20. Next up, you add 1,015 to that total and then subtract the year you were born.
What are the three types of quadratic equations?
Here are the three forms a quadratic equation should be written in:
- 1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
- 2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
- 3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
What common characteristics do equations have?
In mathematics, equation define as a statement that the values of two mathematical expressions are equal, it was indicated by the equal sign (=). It is also a process of equating one into another. Non-linear equation, has a term in square, cubic or raise to the power of any number greater than 3.
What is linear equation Give 5 example?
Linear equations are also first-degree equations as it has the highest exponent of variables as 1….Formulas.
| Linear Equation | General Form | Example |
|---|---|---|
| Intercept form | x/x0 + y/y0 = 1 | x/2 + y/3 = 1 |
| As a Function | f(x) instead of y f(x) = x + C | f(x) = x + 3 |
| The Identity Function | f(x) = x | f(x) = 3x |
| Constant Functions | f(x) = C | f(x) = 6 |
What is the difference between quadratic equations and linear equations?
A linear equation produces a straight line when you graph it. When you graph a quadratic equation, you produce a parabola that begins at a single point, called the vertex, and extends upward or downward in the y direction.
Is 9r² 25 0 A linear equation?
Answer. No its not a linear equation because it is a quadratic equation.
How do you solve linear equation word problems?
Writing Systems of Linear Equations from Word Problems
- Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find.
- Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. Clearly state what the variable represents.
- Carry out the plan and solve the problem.
Is R² 144 a linear equation?
Answer: Yes it is a. linear equation.
Is 8k 3/12 A linear equation?
no it is a linear equation of one variable.