(2,3) , (0,-3) , (-2,1) are the points.
Hope this helps... Let me know if you wanna know anything.
Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em>
</em> when 
<em>, </em>which translates as
This tells us that 
varies by a factor (lets call it) 
for a given value of 
.
To find this factor we can just divide 45 with 9 which gives: 
Thus the factor here is 
which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for 
and solve for 
as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15
2 1/5: 11/5, 22/10, 33/15, 44/20 etc.
1 5/6: 11/6, 22/12, 33/18, 44/24, etc.
Let the three numbers be x, y and z respectively, then
x + y + z = 62 . . . (1)
y = x - 4 . . . (2)
z = 4x . . . (3)
The above three expressions could be used to represent the numbers.
Solving the three equations, putting (2) and (3) into (1) gives
x + x - 4 + 4x = 62
6x - 4 = 62
6x = 62 + 4 = 66
x = 66/6 = 11
x = 11.
y = 11 - 4 = 7
z = 4(11) = 44
x = 11, y = 7, z = 44.
1. Distribute the -2x with the (x+3)
2.Multiply (x+1) and (x-2) which is (x2- x -2)
So far it should look like (-2x^2 -6x) - (x^2-x-2)
3. Distribute out the negative
Should look like this -2x^2 -6x - x^2+x+2
4. Lastly combine like terms
Your result should be:
-3x^2 - 5x + 2
Hope this helps!
