Answer:
(5x + 7y)² = 25x² + 70xy + 49y²
Step-by-step explanation:
(5x + 7y)² = 25x² + 70xy + 49y²
Because,
(5x + b)² = (5x)² + 2(5x)(b) + b²
2(5x)(b) = 70xy
b = 7y
b² = (7y)² = 49y²
<span><span>The price p and quantity x sold of a small flat screen television set obeys the demand equation below.
p= - .14x+280
:
a. How much should be charged for the television set if there are 60 television sets in stock? Round to nearest cent
p = -.14(60) + 280
p = -8.4 + 280
p = $271.60
:
b. What quantity x will maximize revenue?
Rev = qty * price
R(x) = x(-.14x+280)
R(x) -.14x^2 + 280x
The axis of symmetry is the qty for max revenue;x = -b/(2a)
x =
x = + 1000 tv's for max rev
:
What is the maximum revenue?
rev = -.14(1000^2) + 280(1000)
rev = -140000 + 280000
rev = $140,000
:
:
c. What price should be charged in order to maximize revenue?
p = -.14x + 280
p = -.14(1000) + 280
p = -140 + 280
p = $140</span><span>
</span></span>
For 3 I say a and for
4 I say d
And for 5 a
And for 6 c
Answer:
(3x + 4)(x - 1)
Step-by-step explanation:
3x^2 + x - 4
use middle term break method
we need two number which gives 12 when multiplied and 1 when subtracted
3x^2 + (4 - 3)x - 4
3x^2 + 4x - 3x - 4
x(3x + 4) -1(3x + 4)
(3x + 4)(x - 1)