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:
C . 2,550 bolts. lol
Step-by-step explanation:
A simple technique to answer a question like this is to
Step 1: multiply 30 by 17000 = 510000
Step 2: divide 510000 by 200 = 2550
Answer:
974
Step-by-step explanation:
(91.01)*(10.7)
91.01*(10.7)
91.01*10.7
973.80700
974
Answer:
2688x^2 + 3640x + 1225
Step-by-step explanation:
multiply the expression
Mmm looks like a test. I don't know if we should be answering this.
