Answer:
x = 0, x = 1, x = - 3
Step-by-step explanation:
To find the zeros, let f(x) = 0 , that is
(x - 1)(x(x + 1) + 2x) = 0 ← distribute and simplify parenthesis
(x - 1)(x² + x + 2x) = 0
(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis
x(x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x - 1 = 0 ⇒ x = 1
x + 3 = 0 ⇒ x = - 3
Answer:
1 b
2 c
3 a
4 d
Step-by-step explanation:
The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Given: The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes.
It can be deduced that the probability that a randomly selected cable repair visit will take at least 43 minutes will be calculated thus:
= 1 - [(43 - 40)/(65 - 40)
= 1 - 0.12
= 0.88
Hence, The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Learn more about probability here brainly.com/question/6354635
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Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be 
and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (
), measured in inches per feet, is equivalent to the following rational number:
We can convert each length by dividing it by scale factor. That is:
Length
Width
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
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