The rate is 0.30 km/min. The rate in linear functions, which must be assumed with only two given points can be traced to calculating the slope (m) of the line or rate.
m= (y2-y1) / (x2-x1)
with our two given points (x,y) we fill out the equation as:
M= (12 - 0) / (40 - 0) or M = 12/40 = 0.3
keeping our units intact 12 km / 40 min so the answer is 0.3 km/min
Answer:
x ≥ 4
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Inequality Form:
x ≥ 4
Interval Notation:
[
4
, ∞
]
The graph will be a horizontal line.
Answer:
x = - 4, 0, 3, 4
Step-by-step explanation:
Given
f(x) = - 5x(x² - 16)(x - 3) ← x² - 16 is a difference of squares, thus
f(x) = - 5x(x - 4)(x + 4)(x - 3)
To find the zeros, equate f(x) to zero, that is
- 5x(x - 4)(x + 4)(x - 3) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
Thus the zeros are
x = - 4, x = 0, x = 3, x = 4
Answer:
y=2x+17
Step-by-step explanation:
y-y1=m(x-x1)
y-1=2(x-(-8))
y-1=2(x+8)
y=2x+16+1
y=2x+17
