Answer:
$15,059
Step-by-step explanation:
4.1 x 9 = 36.9
36.9% of 11,000 = 4059
11,000 + 4,059 = 15,059
9 .............. 100%
x................ 15%
100x = 15 . 9
100x = 135
x = <u>135</u>
100
x = 1,35
X = 4
y = 0
is the answer to the system of equation
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
Let n = number of records.
Each record costs $7, so n records cost 7n.
She then spent $3, so the total spent is 3n + 3.
She spent a total of $24, so 3n + 3 must equal 24. That gives us the following equation.
7n + 3 = 24
Subtract 3 from both sides.
7n = 21
Divide both sides by 7.
n = 3
Answer: She bought 3 records.
