Answer:
y = (2/3)x + 4 2/3
Step-by-step explanation:
For reference, a linear function has an equation of y = mx + b
The first thing we're going to do is use the slope formula, 
or rise over run. In this case that looks like:
(-2-4) - (8 - -1)
-2 -4 comes out to - 6, and the denominator comes out to 9.
6/9 is equal to 2/3, which is our m or slope value.
Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:
4 = (2/3)-1 +b
4 = -2/3 + b
4 2/3 = b
That means our complete equation is:
y = (2/3)x + 4 2/3
OR
y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).
Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ± 
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer:
17640
Step-by-step explanation:
at a discount of 10% per year $4900 is equal to $490 per year
payment started 6 years ago from now and ended 20 years from now
therefore there is an accumulation of 26 years
for 26 years = 26 *$490= $12740
present value therefore = $4900+$12740=$ 17640
Answer:
First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.
Step-by-step explanation:
2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.
Answer:
G is not TRUE.
Step-by-step explanation:
using the law A+B = B+A
PYTHAGOREAN THEOREM
A²+B² =C² is equal to B² +A² = C²
So for A²,
B² - c² = A. remember if a positive number move from the left to the right over an equal sign it becomes negative and vice versa
B²
C² - A²= B²
