For the equation Y value is -45.
Answer:
Step-by-step explanation:
<u>Finding the line using the points:</u>
<u>The equation:</u>
<u>The slope is:</u>
- m = (-2 + 3)/(3-0) = 1/3
- y- intercept is -3
<u>So the line is:</u>
<u>As per the graph the line is dotted and the shaded area is above the line,. so the inequality is:</u>
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given a quadratic equation in standard form : ax² + bx + c = 0
We can solve for x using the quadratic formula
x² + 2x + 9 = 0 ← is in standard form
with a = 1, b = 2 and c = 9
x = ( - 2 ± ) / 2
= ( - 2 ± ) / 2
= (- 2± ) / 2)
= (- 2 ± ) / 2
= ( - 2 ± 4i) / 2
= ±
= - 1 ± 2i → D
Answer: option D) An = 3an - 9a
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.