Answer:
x=-3
Step-by-step explanation:
The quadratic function 
determines the parabola which has the vertex at point (-3,5). The axis of symmetry passes through the vertex and is parallel to the y-axis. Hence, its equation is x=-3 (see attached diagram).
2y^3 – 2y – 10y + 10 + y^2 – 1 < 0 [the terms are simply reorganized again]
factor 2y from the first two terms, -10 from the second two terms
2y (y^2 -1) – 10 (y-1) + y^2 – 1 < 0
2y (y+1)(y–1) – 10 (y-1) + (y+1)(y–1) < 0 [ because y^2 – 1 = (y+1)(y–1) ]
factor out (y-1) from all the terms
(y-1) [2y(y+1)-10+ y+1] < 0
(y-1) [(y+1) (2y+1) - 10] < 0
Let us simplify (y+1) (2y+1) - 10 < 0 now
(y-1) (2y^2+y+2y+1-10) < 0
(y-1) (2y^2 +3y -9 < 0
(y-1) (2y^2 +6y -3y - 9) < 0 [ because 3y = 6y -3y] j
Since in this equation we are dividing 17/2 by 1/4, we can think of this as multiplying 17/2 with 4/1 (or 4).
17 4
---- X ----- = 34
2 1
Our final answer is 34 days.
In this question, we're trying to find how much a sale clerk earns from a sale.
We know that the DVD player costs $250
We also know that the TV costs $600
The sales clerk has a 19% commission rate, this is the money that they make from the sale.
To find the money the sales clerk got from the sale, we have to add the total spending and multiply it by 0.19
250 + 600 = 850
850 · 0.19 = 161.5
This means that the sales clerk made $161.50 in commission from the sale.
Answer:
$161.50
Answer:
Actual width = 5 feet.
Step-by-step explanation:
The ratio of 1.2 to 1 equals the ratio of length to width.
1.2 / 1 = 6 / w where w is the actual width.
1.2w = 6
w = 6/1.2
w = 5.
