Answer:
k = 11/3
Step-by-step explanation:
If the line is tangent to the curve, then Δ = 0.
______________
Remembering:
Δ>0 two different points of intersection x'
x''
Δ=0 one point of intersection x' = x''
Δ<0 two different points of intersection in the complex plan x' and -x'
______________
As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:
2x + k = 3x² + 4
0 = 3x² - 2x + (4 - k)
Now we can use the Δ=0 (Δ= b² - 4ac)
Δ = 0 = (-2)² - 4.3.(4-k)
0 = 4 - 48 + 12k
12k = 44
k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3
k = 11/3
Answer:
72 books will fit on the shelf
Answer: $5,828.28
<u>Step-by-step explanation:</u>
Use the Compound Interest formula:
where
- A is the accrued amount (balance)
- P is the principal (initial amount invested)
- r is the interest rate (in decimal form)
- n is the number of times compounded each year
- t is the time of the investment (in years)
Given: P = 4,900
r = 3.5% (0.035)
n = 2
t = 5

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Answer:
Step-by-step explanation:
F(x)=-1