The answer is D an = -5n + 12
Use the formula an = a1 + d(n - 1) to solve
an = 7 + (-5)(n - 1)
an = 7 + (-5n +5)
an = -5n + 12
Multiple by any number over itself (ie. 3/3) so like 18/30, 12/20, etc.
One
<u>possible answer</u> is:
y ≤ 4 and
y > 1/2x.
Explanation:
The y-coordinate of both points D and E is 4. This means if we specify that y≤4, anything above these points (point A) will not be included in the shaded area. To graph this inequality, we draw a solid line at y=4 and shade the area below it.
When we graph the ordered pairs, we can see that F would be below the line that goes from B to C. To find the equation of this line, we first find the slope using the formula
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
.
Using the coordinates of B and C, we have
![m=\frac{-2-1}{-4-2}=\frac{-3}{-6}=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-1%7D%7B-4-2%7D%3D%5Cfrac%7B-3%7D%7B-6%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Now we plug this into point-slope form,
y - y₁ = m(x - x₁)
y - y₁ = 1/2(x - x₁)
Using B as (x₁, y₁) we have
y - -2 = 1/2(x - -4)
y + 2 = 1/2(x + 4)
Using the distributive property,
y + 2 = 1/2*x + 1/2(4)
y + 2 = 1/2x + 2
Subtracting 2 from each side,
y + 2 - 2 = 1/2x + 2 - 2
y = 1/2x
This line goes through B and C. We want the area above this, but we do not want B and C included; this means we specify that y is greater than this line:
y > 1/2x
This would be graphed as a dotted line with the area above it shaded, up to the inequality y ≤ 4.
Answer:
10.10 15.15
Step-by-step explanation:
25.30 15.12 25.13
The answers are listed in my picture, hope this helps!!