Answer:
A
Step-by-step explanation:
y = (-2/5)x + 1
By inspection of the equation, the slope of the line is -2/5 and the y-intercept is 1.
Therefore, we can immediately discount option B and D, as their y-intercepts are NOT 1.
Find the point where the line crosses the x-axis by setting the equation to 0 and solving for x:
0 = (-2/5)x + 1
⇒ -1 = (-2/5)x
⇒ -5 = -2x
⇒ x = 5/2
Therefore, the line of the function intersects the x-axis at x = 5/2 = 2.5
From inspection of the graphs, the line in option A intersects the x-axis at 2.5. Therefore, this is the correct graph.
Answer:
$1,800 was withdrawn because 18 * 100 = 1,800
Putting in h(1) would get you 1, putting in h(4) would get you 5.
Answer:
see explanation
Step-by-step explanation:
Given AB ≅ BC, then
AB = BC = x + 6 , and
AC = AB + BC ← substitute values
3x - 31 = x + 6 + x + 6, that is
3x - 31 = 2x + 12 ( subtract 2x from both sides )
x - 31 = 12 ( add 31 to both sides )
x = 43
Hence
AB = BC = x + 6 = 43 + 6 = 49
AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98
B. Step 1. 14x - 6 = 9
Step 2. 14x = 15