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Natalija [7]
3 years ago
9

How to factor ax2 bx c?

Mathematics
1 answer:
Burka [1]3 years ago
8 0

In the same way as you could factor trinomials on the form of

<span><span><span>x2</span>+bx+c</span><span><span>x2</span>+bx+c</span></span>

You can factor polynomials on the form of

<span><span>a<span>x2</span>+bx+c</span><span>a<span>x2</span>+bx+c</span></span>

If a is positive then you just proceed in the same way as you did previously except now

<span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span></span>

<span><span>where  c=mn,ac=pq         </span><span>and b=p+q=am+<span>n</span></span></span>

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2 years ago
In a classroom of students 3 out of 5 students are boys. If the total amount of students is 35 how many students are boys. Pleas
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Step-by-step explanation:

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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
Simplify (-5i)+(5-1)+6
Liono4ka [1.6K]

Hi there


-5i + 5-1 + 6

= -5i + 11- 1

= 5i + 10

That's the answer :0

I hope that's help... Do you have any question ?

5 0
3 years ago
Explain how rates and ratios are related. Be sure to include examples to support you response.
borishaifa [10]

Answer:

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5 0
2 years ago
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