Let x represent the domain
Let y represent the range.
Assume that y =a*b⁻ˣ
Set x=0:
a*b⁰ = 32
a = 32
Set x=1:
32*b⁻¹ = 24
32 = 24b
b = 32/24
Set x=2:
d = 32*(32/24)⁻²
= 32*(24/32)²
= (32*24*24)/(32*32) = 24²/32 = 576/32
= 18
Answer: 18
It passes through the center of the points. (2)
When doing a line of best fit, you want the line to have equal number of points on either side of the line.
Answer:
What is the question is this Geometry?
Step-by-step explanation:
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
7
Step-by-step explanation:
Substitute x = -4 :
f(-4) = 3 - (-4)
= 3 + 4
= 7
