Answer:
x-intercept is 24 , y-intercept is -16
Step-by-step explanation:
* Lets explain how to solve the problem
- The x-intercept is the x-coordinate of the point of intersection
between the graph of the equation and the x-axis ⇒ (x , 0)
- To find the x-intercept substitute the value of y in the equation by 0
- The y-intercept is the y-coordinate of the point of intersection
between the graph of the equation and the y-axis ⇒ (0 , y)
- To find the y-intercept substitute the value of x in the equation by 0
* Lets solve the problem
∵ 2x - 3y = 48
- To find the x-intercept substitute y by 0
∴ 2x - 3(0) = 48
∴ 2x = 48
- Divide both sides by 2
∴ x = 24
∴ The graph intersects the x-axis at point (24 , 0)
* The x-intercept is 24
∵ 2x - 3y = 48
- To find the y-intercept substitute x by 0
∴ 2(0) - 3y = 48
∴ -3y = 48
- Divide both sides by -3
∴ y = -16
∴ The graph intersects the y-axis at point (0 , -16)
* The y-intercept is -16
He deposited $29, so a $29 dollar difference
Answer:
No
Step-by-step explanation:
First solve both equations:
1) 9x = 5x + 4
Simplifying
9x = 5x + 4
Reorder the terms:
9x = 4 + 5x
Solving
9x = 4 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
9x + -5x = 4 + 5x + -5x
Combine like terms: 9x + -5x = 4x
4x = 4 + 5x + -5x
Combine like terms: 5x + -5x = 0
4x = 4 + 0
4x = 4
Divide each side by '4'.
x = 1
Simplifying
x = 1
2) 14x = 4
14x = 4 (divide both sides by 14 to get x)
14x/14 = 4/14
x = 0.285714285714
As you can see, the value of x in the second equations is less than one, therefore making these algebraic equations not equivalent.
A set is a well-defined collection of objects. Each object in a set is called an element of the set. Two sets are equal if they have exactly the same elements in them.
A set is a subset of another set if all elements of the set are elements of the set . In other words, the set is contained inside the set . The subset relationship is denoted as A ⊂ B .The relationship of one set being a subset of another is also called inclusion or we can say Set B may have more elements than A does.
Option 4 .Set B may have more elements than A does is the right answer.