What values of x makes the expression (x-6)(x+3) positive?

Mathematics

1 answer:

Georgia [21]2 years ago

4 0

Answer:

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

Step-by-step explanation:

Step 1

Given the equation;

(x-6)(x+3)

Step 2

To determine the values of x that make the equation positive, the equation can be expressed as;

(x-6)(x+3)>0

x-6>0/(x+3)

x-6>0

x>0+6

x>6

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

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Stephen uses \dfrac{2}{25}

zepelin [54]

Answer:

$13\dfrac{3}{4}$ servings$

Step-by-step explanation:

Stephen uses $\dfrac{2}{25}$ kilograms of tofu in each serving of his dish.

He has $1\dfrac{1}{10}$ kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

$\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings$