The given equations are linear functions and represent straight lines.
The first equation F(x) = 2x , represent a straight line passing through the origin.
Now, we plot the rest equation using the transformation of the graph.
- If we add a constant 'a' in the function then it gets shifted upward by 'a' units.
- If we subtract a constant 'a' in the function then it gets shifted downward by 'a' units.
Using these properties, the second graph gets shifted upward by 6 units. Hence, it passes through (0,6)
Third graph will shift downward by 3 units. Hence, it passes through the point (0,-3)
Fourth graph will shift downward by 5 units. Hence, it passes through the point (0,-5)
The graph of these functions are shown in the same xy-plane in the attached file.
We take GCF by factoring out the algebraic expression.
2x³ + 4x is factored out into 2x(x² + 2) and
−5x² − 10 is factored out into −5(x² + 2)
Therefore the common binomial factor is x² + 2
Answer: You can use this to help you out:
Determine the term life insurance amount per thousand on a 20-year-old male for a 10-year policy given that the face value of the policy is $65,000 and the annual premium is $291.85.
a.
$0.00449
c.
$0.2227
b.
$4.49
d.
$222.72
First find how many thousands on the amount of the face value
You do that by dividing the amount of the face value by 1000
65,000÷1,000=65
So the term life insurance amount per thousand is
291.85÷65=4.49...answer
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# green = 20
# orange = 44
# blue = 30
Total = 20 + 44 + 30 = 94
The one that matches is A
It is given in the question that,
Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.
And
Since QS bisects angle PQR, therefore
Substituting the values, we will get
