Answer:
y = -1/3x + 2
Step-by-step explanation:
y = -1/3x + b
insert the x-intercept to find b
0 = -1/3(6) + b
0 = -2 + b
b = 2
y = -1/3x + 2
Hello there! y < -15
To solve, isolate y. To do this, subtract 30 from both sides of the equation.
y + 30-30 < 15-30
y < -15
This is your final answer. The statement is saying that y must be less than -15 when you add 30 to it for your final answer to be less than 15.
I hope this was helpful and have a great rest of your day! :)
Answer:
B
Step-by-step explanation:
Since the inequality is < then the line separating the shaded and plain regions will be broken.
Thus graph A or B
Choose a test point in each shaded region and check validity of solution
From A choose (0, 2), then
2 < 0 + 
→ 2 < ← False
From B choose (0, - 2), then
- 2 < 0 + → - 2 < ← True
Thus the graph representing the inequality is B
To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
- S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1
Where:
- S₁₃ = Sum of the first thirteen terms of the geometric series.
- a = First term of the series
- r = Common ratio
Given:
Substitute these values into equation 1
- S₁₃ = -10(3¹³-1)/(3-1)
- S₁₃ = -7971615
The line below are parallel so they have same slopes
If the green line has a slope of -1/2, the slope of the red line is also - 1/2
Answer
-1/2
