Answer:
500000
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.
To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:

Then to resolve a quadratic equation we apply Bhaskara's formula:


It usually has two solutions.
But it could happen that
then the equation doesn't have real solutions.
Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.
And it's not possible to have more than 2 solutions. Then the answer ir 3.
For example:
In the three graphs the pink one is a quadratic function and the green one is a linear function.
In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.
In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.
In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.
Answer: 1/6
Step-by-step explanation:
<u>Given:</u>
4/9 and 11/18
<u>Solve:</u>
<em>STEP ONE: Make the denominators equal by determining the LCM</em>
LCM = Least Common Multiple
First Five multiples of 9 = 9, 18, 27, 36, 45
First FIve multiples of 18 = 18, 36, 54, 72, 90
As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.
<em>STEP TWO: Compare the size and determine the greater one.</em>
4/9 = (4 × 2) / (9 × 2) = 8/18
11/18 = 11/18
Since 11 > 8, therefore, 11/18 is greater than 8/18
<em>STEP THREE: Find the difference between the two fractions.</em>
11/18 - 4/9
=11/18 - 8/18
=(11 - 8) / 18
= 3 / 18
= 1/6
Hope this helps!! :)
Please let me know if you have any questions
Answer: a = 40, b = 50, c = 115
Solution:
a = 40 (the vertical angles are equal)
b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)
c = 180 - 65 = 115 (the linear theorem)
14 = 9 - p
Move 9 to the other side
Sign changes from +9 to -9
14-9= 9-9-p
14-9= -p
5=-p
Mutiply both sides by -1 to get + p
(5)(-1)= (-p)(-1)
p= -5
Answer: p= -5