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3 years ago

Write the equivalent expression (5x-3x2)-(5x-2)×(10x+7x2)in standard form:

Mathematics

1 answer:

Papessa [141]3 years ago

3 0

Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

Step 1: Write out expression

(5x - 3x²) - (5x - 2)(10x + 7x²)

Step 2: Distribute/Expand

5x - 3x² - (50x² + 35x³ - 20x - 14x²)

Step 3: Combine like terms

5x - 3x² - (36x² + 35x³ - 20x)

Step 4: Distribute negative

5x - 3x² - 36x² - 35x³ + 20x

Step 5: Combine like terms

-35x³ - 39x² + 25x

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And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell v

klasskru [66]

Answer:

$P(x) = -0.25x^2 + 42x - 90$

Step-by-step explanation:

Given

$C(x) = -17x + 90$

$R(x) =- 0.25x^2 + 25x$

Required

Determine the profit function.

Profit function is calculated as thus:

$P(x) = R(x) - C(x)$

So, we have:

$P(x) = -0.25x^2 + 25x -(-17x + 90)$

$P(x) = -0.25x^2 + 25x + 17x - 90$

$P(x) = -0.25x^2 + 42x - 90$

5 0

3 years ago

Somebody please help so I can pass, please

ASHA 777 [7]

First, we are going to find the vertex of our quadratic. Remember that to find the vertex $(h,k)$ of a quadratic equation of the form $y=a x^{2} +bx+c$ , we use the vertex formula $h= \frac{-b}{2a}$ , and then, we evaluate our equation at $h$ to find $k$ .

We now from our quadratic that $a=2$ and $b=-32$ , so lets use our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-32)}{2(2)}$
$h= \frac{32}{4}$
$h=8$
Now we can evaluate our quadratic at 8 to find $k$ :
$k=2(8)^2-32(8)+56$
$k=2(64)-256+56$
$k=128-200$
$k=-72$
So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
$y=a(x-h)^2+k$
$y=2(x-8)^2+(-72)$
$y=2(x-8)^2-72$
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.

We can conclude that:
The rewritten equation is $y=2(x-8)^2-72$
The x-coordinate of the minimum is 8