She could put a group of ten
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
.
Using the coordinates of B and C, we have
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.
The side lengths are 16, 30, and 32
Answer:
$106.75
Step-by-step explanation:
Since the cost of a gallon of oil cost $3.05, we are going to have the equation y = 3.05x, where x represents the number of gallons of oil.
Since the Changs have 35 gallons of oil, the equation would be;
3.05(35) = 106.75
The Changs paid $106.75 for the delivery.
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