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:
$128
Step-by-step explanation:
1. We need to find how much 1 yard of material cost.
If needed, use a calculator*
120/75=1.6
2. Now we need to know how much 15 yards of material cost.
1.6 times 15=24
3. The buyer ordered an additional 90 yards. If we know how much 75 yards cost, and 15 yards, all you have to do is...
120+24=144
90 yards=$144
4. The additional cost is $144
(Note: the total cost would be $264 (120+144=264))
Answer:
4 brothers and 3 sisters
Step-by-step explanation:
Let x be the number of brothers and y be the number of sisters in the family.
1. Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

3. Solve the system of two equations:

Then

2y=1/2x+10
divide by two
y=1/4x+5