How many solutions does the equation have? 4(3-5)+2=4-18 please help
1 answer:
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A used book store buys a hardback book for $1.50 and then sells it for $5. Over time, the store sells the same number of books it buys. The store manager can use the equation P(x)=5x−1.5x to determine the store's profit, P(x), where x is the number of books that the store sells. Which statement about the book store is true based on the profit equation?
Cost Price of book, C.P.=$1.50
Selling Price of book, S.P.=$5
PROFIT=S.P. -C.P.
So, Profit=$5-$1.50=$3.50
So, Profit=$3.50 on each book
Or, we are given P(x)= 5x-1.50x
Or, P(x)=3.50x
For each book, we must divide the profit P(x) by x, that is, number of books
So, Profit for each book sold is $3.50
Answer:Option C
Answer:
The value of x = -0.46
Step-by-step explanation:
∵ ÷
∴
* Subtract the power of the same bases
∴
* Let
∴
∴ 4y² - 1 = -3y
∴ 4y² + 3y - 1 = 0 ⇒ factorize
∴ (4y - 1)(y + 1) = 0
∴ y + 1 = 0 ⇒ y = -1
∴ 4y - 1 = 0 ⇒ 4y = 1 ⇒ y = 1/4
∵
∴ y = -1 refused ( never gives -ve value)
∴ ⇒ insert <em>ln</em> in both sides
∵ ⇒ <em>ln</em>(e) = 1
∴ 3xln(e) = ln(1/4)
∴ 3x = ln(1/4)
∴ x = [ln(1/4)] ÷ 3 = -0.46