Answer:
Step-by-step explanation:
Parts of the question are missing.
y = a(x-h)² + k is a vertical parabola.
If a is positive, the parabola opens upwards.
If a is negative, the parabola opens downwards.
The vertex is at (h, k)
Answer:
The model on the top right.
Answer:
- $8000 at 1%
- $2000 at 10%
Step-by-step explanation:
It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.
__
<h3>setup</h3>
Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...
0.10x +0.01(10000 -x) = 280
<h3>solution</h3>
Simplifying gives ...
0.09x +100 = 280
0.09x = 180 . . . . . . . subtract 100
x = 2000 . . . . . . divide by 0.09
10000 -x = 8000 . . . . amount invested at 1%
<h3>1.</h3>
$8000 should be invested in the 1% account
<h3>2.</h3>
$2000 should be invested in the 10% account
Answer:
irrational number
Step-by-step explanation:
It is a non-recurring continuous decimal number
(gof)(x) = g(f(x))
so
g(f(x)) = 3(6x - 4)^2 -2(6x - 4) - 10
g(f(x)) = 3(36x^2 - 48x + 16) - 12x + 8 - 10
g(f(x)) = 72x^2 - 144x + 48 - 12x - 2
g(f(x)) = 72x^2 - 156x + 46
answer
(gof)(x) = 72x^2 - 156x + 46
