Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 long and 1
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Answer:
It will take 146 days to earn an interest of $80.
Step-by-step explanation:
The simple interest formula is:
It is provided that:
I = $80
P = $4,000
r = 5% p.a.
Compute the time required as follows:
Thus, it will take 146 days to earn an interest of $80.
The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)
<h3>How to find the factors of a quadratic expression?</h3>If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, the given quadratic expression is:
So we've to find two numbers such that:
Their sum = b = 28
Their product =
We can see that 196 is square of 14, and that 14 added twice forms 28, thus:
14 + 14 = 28
14×14 = 196
Writing b = 28 as sum of 14 twice, we get:
Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)
Learn more about factorization of quadratic expression here: