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:
Step-by-step explanation:
30000/650= 46.15 weeks to accumulate $30000
ss tax rate is 12.4%
Medicare rate is 0.09%
30,000*12.4%= $3720
30,000*9%= $270
Total is $3990
Per pay period is
650*12.4%= $80.60
650*9%=$58.50
Total is $139.10
The first bubble is the answer
Answer:
g-4
Step-by-step explanation:
first subtract 7 from both sides
then you will get -4
g
which is the same as g
-4
you just have to switch them
That would be 3/8
Because 1/8 = 12.5 %
