Answer:
k = - 
, k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2
Answer:
F) The rates are not equivalent.
Step-by-step explanation:
Consider the rates 45 mile in 8 minutes and 4 minutes to travel 25 mile. Select the statement(s) that are true. Multiple select question.
We find the unit rates
a) 45 mile in 8 minutes , we find the unit rate in miles per minute
8 minutes = 45 miles
1 minute = x
8 × x = 45 miles × 1 minute
x = 45 miles/8 minutes
x = 5.625 miles/ minute
b) 4 minutes to travel 25 miles. Find the unit rate is minutes per mile
25 miles = 4 minutes
1 mile = x
25miles × x = 4 minutes × 1
x = 4 minutes/25 miles
x = 0.16 minutes/mile
Hence, the correct option is
F) The rates are not equivalent.
Answer:
Mean of sampling distribution = 25 inches
Standard deviation of sampling distribution = 4 inches
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 25 inches
Standard Deviation, σ = 12 inches
Sample size, n = 9
We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.
a) Mean of the sampling distribution
The best approximator for the mean of the sampling distribution is the population mean itself.
Thus, we can write:
b) Standard deviation of the sampling distribution
Answer:
B
Step-by-step explanation:
Just take all three numbers (954, 158, 63) then add them all up.
Irrational
i dont know how to explain this one, but its irrational
