Answer:
Here ya go ! :)
Step-by-step explanation:
3( x - y )^2 - 2( x - y ) =
<em>(</em><em> </em><em>x</em><em> </em><em>-</em><em> </em><em>y</em><em> </em><em>)</em><em> </em>( 3( x - y) - 2 ) =
( x - y )( 3x - 3y - 2 )
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer:
$126,000
Step-by-step explanation:
16% of 150,000 is 24,000
150,000-24,000=126,000
X = 78 degrees
Explanation:
Using the alternate exterior angle of 33 degrees, the angle to the left of x would also be 33 degrees
Using this we add up 69 and 33 = 102
Then we would do 180-102 since a straight line has a total of 180 degrees
The answer would be 78 degrees
