Answer:
45units^2
Step-by-step explanation:
Break the polygon into two shapes. A rectangle and a triangle.
The area formula for a rectangle is A=L•W or
Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.
Now for the triangle, the formula is A=1/2 (b•h)
The base is 9 and Height is 6.
9 • 6 = 54
Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.
Now add the rectangle area and triangle area.
18+27=45
Area=45 units ^2
Answer:
To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.
Step-by-step explanation:
A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -4 has even multiplicity of 4 so it only touches and does not cross through.
Root -1 has odd multiplicity of 3 so crosses through.
Root 5 has even multiplicity of 6 so it only touches and does not cross through.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.
To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.
Answer:
C
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function.
Answer:
320,000
Step-by-step explanation:
6.4cm on the map would be 320,000 (ft I'm assuming) and I found that by multiplying 50,000x6.4.
Answer:
Step-by-step explanation:
a) Because you are only receiving $1500 and in exchange you would have to cover for this accident damage in the next year, which could be up to hundred of thousands of dollar. Sure there's a chance the your neighbor might drive safely, but the odds are far more in his favor than yours.
b) The insurance company collect payments from hundred of thousands buyers, making their cash flow up to tens of million dollar. Sure the expected value of accidents might be high but as a company they surely have capital to cover a handful of cases, if their calculation done right.
