Answer:
<em>Bree spoke at 55 assemblies in this district.</em>
Step-by-step explanation:
Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:
C(a) = 50a+1,500
Being a the number of assemblies attending the meeting.
It's given Bree charged the Escambia City School District $4,250 to speak at school assemblies.
We can find the number of assemblies by solving the equation:
50a+1,500=4,250
Subtracting 1,500:
50a=4,250-1,500=2,750
Dividing by 50;
a = 2,750 / 50=55
Bree spoke at 55 assemblies in this district.
Answer:
aₙ = -15 + 10 * (n-1)
Step-by-step explanation:
aₙ = a₁ + (n-1)*d a₁: first term d: common difference
a₅ a₁ + 4d =25 .... (1)
a₁₁ a₁ + 10d = 85 ...(2)
(2) - (1) 6d = 60
d = 10
a₁ = -15
Formula: aₙ = -15 + 10 * (n-1)
Answer and Step-by-step explanation:
We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.
If f(x) = 17, then
3x + 2 = 17, to find the value of x, we have solve for x in the equation.
3x = 17 – 2
3x = 15
x = 5
This is the method that can be used to solve problems of this nature.
Answer:
49x² + 42x + 9
Step-by-step explanation:
Given
(7x + 3)²
= (7x + 3)(7x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
7x(7x + 3) + 3(7x + 3) ← distribute both parenthesis
= 49x² + 21x + 21x + 9 ← collect like terms
= 49x² + 42x + 9