Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(a)
here m = -
and c = 6, hence
y = -
x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m =
=
, hence
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = -
+ c → c = 3 +
= 
y =
x +
← equation of line
The answer is
Thirty residents who live within a 2 mile radius of natashas school.
Hi
609.9 ⇒ 85%
x ⇒ 100%
85x = 100·(609.9)
85x = 60,990
x = (60,990)/85
x = 717.5294117... ≈ 717.53
85% of 717.53 ⇒ 0.85 × 717.53 = 609.9005 ≈ 609.9
Answer: 717.53
Answer:
D. y = (x - 3)²
Step-by-step explanation:
The parabola formula in vertex form is:
y = a(x - h)² + k
where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:
y = a(x - 3)² + 0
y = a(x - 3)²
In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:
y = (x - 3)²