Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -
9514 1404 393
Answer:
y = -1/2x + 3
Step-by-step explanation:
It can work to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values
y = -4/8(x +4) +5 . . . . . . . . simplify a bit
y = -1/2x -2 +5 . . . . . .eliminate parentheses
y = -1/2x +3 . . . . collect terms
Answer:
In terms of P, the price of the sweater after the discount is 0.72P.
Step-by-step explanation:
Since the price P would represent 100% and the price was discounted by 10%, you can calculate 10% of 100% and subtract that amount, which would be:
100*10%=10
100-10=90%
This means that the price paid would be 90% of P. Then, the statement says that the price was discounted by another 20%. So, you have to calculate 20% of the price and subtract that amount from the price:
90*20%=18
90-18=72%
According to this, this means that in terms of P, the price of the sweater after the discount is 0.72P.
Answer:
54+7x
Step-by-step explanation:
-2+7(x+8)
-2+7x+56
54+7x
