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3 years ago

Hello and helpppp please!!

Mathematics

2 answers:

horsena [70]3 years ago

4 0

A.) m ≥ -28/5 is the answer

Explanation: first Distribute through the parentheses (-5m-5 ≤23)

Then- Move the constant to the right-hand side and change its sign (-5m ≤23+5)

Then- Add the numbers (-5m ≤ 28)

Last- Divide both sides of the inequality by and flip the inequality sign (m ≥ -28/5)

Hope this was helpful:)

RideAnS [48]3 years ago

3 0

Answer:

Step-by-step explanation:

-5(m+1) <= 23

(m+1) >= -23/5

m >= -23/5 - 1

m >= -23/5 -5/5

m >= -28/5

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X²-9\x-3 explain why x doesnt = 3

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$\dfrac{x^2-9}{x-3}$

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3 years ago

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What are the solutions of x2 -2x+2=0

sergejj [24]

Answer: x = 1 ± i

Step-by-step explanation:

Solving the quadratic equation using the quadratic formula:

x = $\frac{-b+\sqrt{b^{2}-4ac } }{2a}$ or $\frac{-b-\sqrt{b^{2}-4ac } }{2a}$

From the question :

a = 1

b = -2

c = 2

substituting inside the formula

X = $\frac{-(-2)+\sqrt{(-2)^{2}-4(1)(2) } }{2(1)}$ or

$\frac{-(-2) - \sqrt{2^{2}-4(1)(2) } }{2(1)}$

x = $\frac{2 + \sqrt{4-8} }{2}$ or $\frac{2 - \sqrt{4-8} }{2}$

x = $\frac{2 + \sqrt{-4} }{2}$ or $\frac{2 - \sqrt{-4} }{2}$

Recall ; $\sqrt{-4}$ can be written as $\sqrt{-1}$ X $\sqrt{4}$ , and $\sqrt{-1}$ = i

Substituting this

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3 0

3 years ago

The cost and revenue functions for producing and selling x units of a product are given. Cost and revenue are expressed in dolla

Flauer [41]

Answer:

(A) the number of units produced and sold at break-even point is the value of X and that is 1.126 units.

(B) the dollar amount coming in and going out at this point/level is the price of X and that is 0.37 dollars

where pie (the symbol "π") represents PROFIT.

Step-by-step explanation:

(A) C(x) = 75x + 84 ...(equation 1)

660R(x) = 245x

R(x) = 245x ÷ 660 = 0.3712x

So R(x) = 0.3712x ...(equation 2)

To find X, equate the cost function to the revenue function

75x + 84 = 0.3712x

X = -1.126units

Since quantity cannot be negative in real life situation, we use the modulus of X in place of the above value.

|X| = 1.126 hence X = 1.126 now

Since we equated cost to revenue in order to get this quantity X, X is the quantity produced and sold at break even point.

Break-even point is the point where cost = revenue

This is also the point where profit is zero because profit = revenue - cost

(B) Revenue = Price × Quantity

R = P×Q

Our revenue here is 0.3712x

Which is equal to 0.418 dollars

So P = R÷Q

Price = 0.418÷1.126 = 0.37 dollars

4 0

4 years ago