The x-intercept is the point where the line intersects the x-axis which means that it is the value of x when y in the equation is set to be equal to zero. In the equation of the line given, setting the y value to zero will result to an x value of -1/2. Therefore, the x-intercept would be -1/2.
Answer:
$18,112.45 (nearest cent)
Step-by-step explanation:
Let y = value of the boat
Let x = the number of years
If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)
85% = 85/100 = 0.85
Therefore, the equation is:
So, when x = 10:
1) Since the starting point is those inequalities in the standard form, we need to perform some algebraic manipulations to get them in the slope-intercept form
2) So, let's rewrite them by adding/subtracting and dividing/multiplying terms to isolate the y-term on the left:
And the second inequality:
3) Examining the options, we can tell that the answer is:
Thus, the answer is the second option (top to bottom).
Answer:
X=9/14. It's correct answer.
Step-by-step explanation:
#1
- a + 10 = 20 ⇒ subtract 10 form both sides ⇒ a = 10
- Subtraction property of equality
#2
- 4x - 5 = x + 12 ⇒ add 5 to both sides ⇒ 4x = x + 17
- Addition property of equality
#3
- 5(x + 7) = -3 ⇒ multiply 5 to both terms ⇒ 5x + 35 = - 3
- Distributive property of multiplication
#4
- If AB = BC and BC = CD, then AB = CD
- Transitive property of equality