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2 years ago

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what is a correct first step in solving the inequality –4(3 – 5x)≥ –6x 9? –12 – 20x ≤ –6x 9 –12 – 20x ≥ –6x 9 –12 20x ≤ –6x 9 –1

2 20x ≥ –6x 9

2 answers:

Elena L [17]2 years ago

8 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given inequality is

$-4(3-5x)\geq -6x+9$

Use BODMAS and solve the brackets first.

Using distributive property, the given inequality can be written as

$-4(3)-4(-5x)\geq -6x+9$

$-12+20x\geq -6x+9$

The first step in solving the given inequality is

$-12+20x\geq -6x+9$

Therefore option 4 is correct.

DIA [1.3K]2 years ago

3 0

<span>The answer is -12 + 20x ≥ –6x 9. The inequality is –4(3 – 5x)≥ –6x 9. The first step is to multiply factors on the left side. The intermediary steps are: (-4)*(3) - (-4)*(5x) ≥ –6x 9. -12 - (-20x) ≥ –6x 9. So, the first step will be: -12 + 20x ≥ –6x 9.</span>

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2 years ago

Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four

Alina [70]

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Step-by-step explanation:

(a)

Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.

Let assume the length of the rectangle is 50;

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= 50 × 5 = 250 ( since the breath is divided into 5 parallel sides)

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Then divided by 2, we get:

= 700/2

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So for the first diagram; the length = 50 and the breath = 350

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Now, let's go up a little bit.

If the length increase to 100;

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⇒ 200/2 = 100

The area = 150 × 100 = 15000 ft²

The diagrams for each of the outline above can be seen in the image attached below.

(b) The diagram illustrating the general solution can be seen in the second image provided below.

(c) The expression for the total area A in terms of both x and y is:

Area A = x×y

(d) Recall that:

The fencing is said to be 950 ft.

And the length is divided inside into 5 parallel sides;

Then:

5x + 2y = 950 (from the illustration in the second image below)

2y = 950 - 5x

$y = \dfrac{950}{2} - \dfrac{5}{2}x$

$y = 475- \dfrac{5}{2}x$

(e)

From (c); replace the value of y in (d) into (c)

Then:

Area A = x×y

$f(x)= x\times ( 475 -\dfrac{5}{2}x)$

Open brackets

$f(x)= ( 475 x-\dfrac{5}{2}x^2)$

(f)

By differentiating what we have in (e)

$f(x)= ( 475 x-\dfrac{5}{2}x^2)$

$f'(x)= ( 475 (1)-\dfrac{5}{2}(2x))$

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$\implies 475 = 5x$

x = 475/5

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$y = 475- \dfrac{5}{2}x$

$y = 475- \dfrac{5}{2}(95)$

$y =237.5$

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Area A = 22562.5 ft²

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2 years ago