Answer:
Vertex ( 5 ,8) .
Step-by-step explanation:
Given : f(x) = 2(x − 5)² + 8.
To find : Determine the vertex of the function .
Solution : We have given
f(x) = 2(x − 5)² + 8.
Vertex form of parabola : f (x) = a(x - h)² + k, where (h, k) is the vertex.
On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.
a = 2 , h = 5 , k = 8 .
Vertex ( 5 ,8) .
Therefore, Vertex ( 5 ,8) .
Answer:
$2278.846
Step-by-step explanation:
Given the following commision steps :
8% on first $1000;
12% next $2000;
20% on sales above $3000
Recorded sales for a week :
Monday $1500.00
Tuesday $3000.00
Wednesday $ 970.00
Thursday $4563.81
Friday $2760.42
This assu es that commision is calculated after weekly sales:
Total:
(1500 + 3000 + 970 + 4563.81 + 2760.42)
= $12794.23
8% on first $1000
0.08 × $1000 = $80
12% of $2000 = $240
20% of $(12794.23 - 3000)
= 0.2 × 9794.23
= 1958.846
Total commision for the week :
$(80 + 240 + 1958.846)
= $2278.846
N^2 + n - 120 = 0
Quadratic formula
a = 1, b = 1, c = -120
n = [-1 plus or minus root(1^2 - 4(1)(-120))] / 2(1)
n = (-1 plus or minus root481)/2
n =(approximately) 10.5 or -11.5
An 8th-degree polynomial needs 9 terms that involve
x⁸, x⁷, ..., x¹, and x⁰.
x=10 implies that (x-10) is a factor of the polynomial according to the Remainder theorem.
Let the polynomial be of the form
f(x) = a₁x⁸ + a₂x⁷ + a₃x⁶ +a₄x⁵ + a₅x⁴ + a₆x³ + a₇x² + a₈x + a₉
The first few lines of the synthetic division are
10 | a₁ a₂ a₃ a₄ a₅ a₆ a₇ a₈ a₉ ( the first row has 9 coefficients)
-----------------------------------------
a₁
Answer:
The first row has 9 coefficients.