Determine the factors of 5x2 + 6x − 8. (5x − 1)(x + 8) (5x − 8)(x + 1) (5x − 4)(x + 2) (5x − 2)(x + 4)
2 answers:
Answer: The correct option is (C) (5x − 4)(x + 2).
Step-by-step explanation: We are given to determine the factors of the following quadratic expression :
To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.
The factorization is as follows :
Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,
Option (C) is CORRECT.
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Answer:
$0.0646 is the expected value of the draw.
Step-by-step explanation:
1 nickel = 5 cents
1 dime = 10 cents
1 penny = 1 cent
Total number of coins =
Probability that a nickel is selected is = 14/35
Probability that a dime is selected is = 15/35
Probability that a penny is selected is = 6/35
So, the expected value of the draw will be =
= 6.457 cents ≈6.46 cents
So, in dollars it is = = $0.0646
So, $0.0646 is the expected value of the draw.
Answer:
Vertex form:
Standard form:
Step-by-step explanation:
A quadratic function in vertex form is where
is the vertex.
We are given .
Let's plug that in:
.
Now let's find .
We will use the -intercept
to find
.
So the function in vertex form is:
.
In standard form, we will have to multiply and combine any like terms.
Let's do that: