Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
Answer:
The rate of change is -2
Step-by-step explanation:
f(b)-f(a) 12-2 10
---------- = ------------ = -------- = -2
b-a 1-6 -5
Answer:
x+0.05x=3.15 which has one solution
Step-by-step explanation:
Complete question below:
Joshua sells a pack of pens for 3.15 which is 5 percent more than he pays for them. which equation will help find x, the amount he pays for a pack of pens? how many solutions will this equation have? x+0.05x=3.15, which has infinitely many solutions x+0.5x=3.15, which has one solution x+0.05×=3.15 which has one solution 0.05×=3.15, which has no solution
Let
x= the amount Joshua pays for a pack of pen
5% of x more than he paid for them
=0.05x more
Buying price=0.05x + x
Selling price=3.15
Equate buying and selling price
0.05x + x = 3.15
1.05x=3.15
Divide both sides by 1.05
1.05x / 1.05 = 3.15/1.05
x=3
The equation is 0.05x+x=3.15
The answer is:
x+0.05x=3.15 which has one solution
The answer is $2.34. I attached an explanation thing below. Forgive my ugly handwriting.
What up I’ll try my best to answer