A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale pric
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Answer:
see explanation
Step-by-step explanation:
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
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = , thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² +
x + 4 - 1
= x² +
x + 3 ← in standard form
Answer:
X is less than or equal to -3
Hope that answers your question
An arithmetic sequence (a_n) is as follows:
where 
is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is
in our particular case d=5, the third term is 8, so we have:
and the general term is
,
Answer: first term is -2, n'th term is -2+5(n-1)
thus, we see that the n'th term of an arithmetic sequence is
in our particular case d=5, the third term is 8, so we have:
and the general term is
Answer: first term is -2, n'th term is -2+5(n-1)