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2 years ago

Express 3x-x^2 as m-(x-n)^2. Ill give brainliest to correct answer!

Mathematics

2 answers:

Stolb23 [73]2 years ago

6 0

Answer:

$\frac{9}{4}$ - (x - $\frac{3}{2}$ )²

Step-by-step explanation:

Given

3x - x² ← factor out - 1 from each term

= - (x² - 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 3x

= - (x² + 2(- $\frac{3}{2}$ )x + $\frac{9}{4}$ - $\frac{9}{4}$ )

= - (x - $\frac{3}{2}$ )² - 1(- $\frac{9}{4}$ )

= $\frac{9}{4}$ - (x - $\frac{3}{2}$ )²

MaRussiya [10]2 years ago

3 0

Answer:

(i) 2x+3y=9.3

⇒2x+3y−9.3

Comparing the equation with ax+by+c=0

a=2,b=3,c=−9.3

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2 years ago

8+—3(6+—6a) help please

LenKa [72]

We know that:

$(+)+(-)=(-)$

and:

$(-)*(+)=(-)$

$8+(-3)[6+(-6a)]=8+(-3)*6+(-3)*(-6a)=8-18+18a$ $=(-10)+18a$

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2 years ago

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 10 + 0.002p3 and that its dem

Radda [10]

Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

Demand function is given by

$D(p) = 50 - 0.04p^2, \text{where p is the price.}$

Supply function is given by

$S(p) = 10 + 0.002p^3$

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

$D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots$

So, at $21.85, the supply will equal to demand.

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2 years ago

Read 2 more answers