Please help answer this
2 answers:
Answer:
Option D.
Step-by-step explanation:
The given inequality is .
To graph this inequality, we need to graph the corresponding linear equation;
The intercepts are and
.
Plot these two points and draw a solid straight line through them.
We then test the inequality with the point (0,0).
.
.
This statement is false.
So we shade the lower half plane to obtain the graph in option D.
Answer:
Choice D is correct.
Step-by-step explanation:
We have given the inequality:
y<= -2x-2
Four graphs are given in the question.
We have to determine that which graph is the graph of the given inequality.
First, we draw the graph of corresponding linear equation
y= -2x-2
the intercepts are (-1,0) and (0,-2).
Mark these two points on the graph and draw a line passing through these point(meet these points).
Check the inequality put (0,0) in the inequality we get,
0<= -2
this is not true so shade the left side of the line this is the graph of inequality.
Choice D is correct.
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Answer:
6.2
Step-by-step explanation:
Although there's multiple ways to solve this problem, my method will be to simply find the area for the full triangle (the empty + orange triangles) and subtract the area of the smaller, empty triangle.
Now, you that area for a triangle is 1/2*base*height.
To find the measurements for the full triangle, you must add up the bases for the two smaller triangles:
Height is the same for both triangles so Height total = 4 ft.
Now the total area can be calculated:
Area total= 1/2* base_total * height_total
Area total = 1/2 * 5ft * 4 ft
Area total = 20 / 2 = 10 ft squared
Lastly, subtract the area of the empty triangle from the total triangle to find the orange triangle.
Area Empty Triangle = 1/2 * base_empty * height_empty
Area Empty Triangle = 1/2 * 1.9ft * 4 ft = 7.6 ft / 2 = 3.8 ft squared
Area total - Area empty = 10ft^2 - 3.8ft^2 = 6.2 ft squared
Answer:
140 individuals were surveyed
42 people are planning on going to the mountains
Step-by-step explanation:
The question is missing the information regarding the percentage of people who said that they were going to each of the possible destinations. After a quick google search I've found that, in the original question, 32% of individuals were going to the beach, 15% to the desert, 23% to major cities, and 30% to the mountains.
If 21 people said they were going to the desert, and that corresponds to 15% of the total number of people surveyed, the number of people surveyed is:
140 individuals were surveyed
Since 30% responded "the mountains", the number of people planning on going to the mountains is:
42 people are planning on going to the mountains