Answer:
1) A
2) min; min; max; max
3) y = x² + 5x - 3
Step-by-step explanation:
f(x) = x² + 2(x)(5) + 5² - 5² + 24
f(x) = (x + 5)² - 25 + 24
f(x) = (x + 5)² - 1
In ax² + bx + c,
if a > 0, it's a min
if a < 0, it's a max
y = ax² + bx + c
Using (0,-3)
-3 = a(0)² + b(0) + c
c = -3
y = ax² + bx - 3
Using (1,3)
3 = a + b - 3
a + b = 6
Using (-1,-7)
-7 = a(-1)² + b(-1) - 3
-7 + 3 = a - b
a - b = -4
b = a + 4
a + (a + 4) = 6
2a = 2
a = 1
b = 5
y = x² + 5x - 3
Answer:
1st graph: x ≤ -5
2nd graph: x > -5
3rd graph: x ≥ -5
4th graph: x > 5
Step-by-step explanation:
There will be two squares.
Think about it: The shorter side is 3.5 feet. The longer side is 7 feet. If he cuts it in half on the longer side, he's taking the length of that longer side, and dividing it by 2. 7/2=3.5.
So, you'd have two squares, both with a length and width of 3.5 feet.
(8,5) because (6,5) is distance 2 from (6,3). So (8,5) will distance 2 from (8,3)
So the equation you're going to be using is mass = density x volume
So the volume of your block is 35cm^3, and your density is .85g/ml
so your equation would be
mass=.85g/ml x 35cm^3
your final answer is 29.75g/cm^3
Hope this helps :)
