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Ira Lisetskai [31]
2 years ago
6

What is the solution set for the inequality,

Mathematics
2 answers:
Sladkaya [172]2 years ago
7 0

Answer:

x ≤ 6

Step-by-step explanation:

4 (x-3) -7x ≥ 6

4x-12-7x ≥ 6

-3x-12 ≥ 6

-3x ≥ 18

x ≤ 6

creativ13 [48]2 years ago
6 0

Answer:

x≤−6

Step-by-step explanation:

Let's solve your inequality step-by-step.

4(x−3)−7x≥6

Step 1: Simplify both sides of the inequality.

−3x−12≥6

Step 2: Add 12 to both sides.

−3x−12+12≥6+12

−3x≥18

Step 3: Divide both sides by -3.

−3x

−3

≥

18

−3

x≤−6

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The demand equation illustrates the price of an item and how it relates to the demand of the item.

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

From the question, we have:

Plates = 300

Price = 20

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}

The slope (m) is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

So, we have:

m = \frac{25-20}{290-300}

m = \frac{5}{-10}

m = -\frac{1}{2}

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

R(x) = (300 - 10x) \times (20 + 5x)

Open the brackets to calculate the maximum revenue

R(x) =6000 + 1500x - 200x - 50x^2

R(x) =6000 + 1300x - 50x^2

Equate to 0

6000 + 1300x - 50x^2 =0

Differentiate with respect to x

1300 - 100x =0

Collect like terms

100x =1300

Divide by 100

x =13

So, the price at maximum revenue is:

Price= 20 + 5x

Price= 20 + 5 * 13

Price= 85

In conclusion:

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

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3 years ago
Which inequality would result in the shaded solution on the unit circle to the right?
omeli [17]
<h3>Answer: Choice B</h3>

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that \sec(x) = \frac{1}{\cos(x)}

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You've just purchased 12 lb of celery. You take it back to your kitchen and proceed to trim and cut it into pieces, ending up wi
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<span>Trim and cut it into pieces, ending up with 5.5 oz of trim.
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</span><span>Taking the smallest integer number.
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</span><span>So, the yield = 34
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</span><span>which will be equal = 34*5.5 = 187 oz
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</span><span>So, the yield </span>percentage = \frac{187}{192} *100 = 97.4 \%
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One of the product rules for exponents was used.
(ab)^{c}=a^{c}b^{c}

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Absolute value means the distance from 0.

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