Answer:
-15
Step-by-step explanation:
Answer:
m=(r/n)+0.114r
Step-by-step explanation:
m=monthly payment
r=remaining amount
n=# of months remaining
100pi/10pi this is irrational but reduces to 10, a rational number
Answer:
150 ft^3
.1 ton or 200 lbs
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 5*5*6
V = 150 ft^3
To find how much 1 ft^3 weighed take the weight and divide by the volume
15 tons / 150 ft^3
.1 ton / 1 ft^3
1 ft^3 weights .1 ton
We know that 1 ton = 2000 pounds
.1 ton = 200 pounds
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
