At the local store, the cost of 1 pair of jeans is $24 and the cost of 3 pairs is $24 × 3 = $72. At the online store, the cost o
1 answer:
Complete question :
Complete the tables to relate the numbers of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and
ignore any taxes.
Answer:
$24, $72
$50
Step-by-step explanation:
From the table :
At local store :
2 pair of jeans cost $48
Cost of a pair :
Cost of 2 pairs / number of pairs
$48 / 2 = $24
Cost of 3 pairs :
Cost per pair * number of pairs :
$24 * 3 = $72
At online store :
Cost of Jean include a fixed fee of $6
Cost of one pair of Jean = $28
Actual cost of Jean :
$28 - $6 = $22
Hence, cost of 2 pair of jeans:
($22*2) + $6
$44 + $6 = $50
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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)
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