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2 years ago

14

Given: - 4x/7 > 10. Choose the solution set. {x | x < - } {x | x > - } {x | x > - } {x | x < - }

1 answer:

AleksAgata [21]2 years ago

3 0

Answer:

{x | x < - 35 / 2}

Step-by-step explanation:

-4x / 7 > 10

Multiply both sides by 7

-4x /7 * 7 > 10 * 7

-4x > 70

Divide both sides by - 4

-4x / - 4 > 70 / - 4

x < - 35 / 2 (inequality sign changes)

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6. Let f and g be differentiable functions

Julli [10]

Answer:

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Step-by-step explanation:

To differentiate $h(x)=f(x)g(x)$ we will need the product rule:

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We have $h'(x)=f(x)g'(x)$ , so the following equation is true by the transitive property:

$f'(x)g(x)+f(x)g'(x)=f(x)g'(x)$

By subtraction property we have:

$f'(x)g(x)=0$

Since $g(x) \neq 0$ , then we can divide both sides by $g(x)$ :

$f'(x)=\frac{0}{g(x)}$

$f'(x)=0$

This implies $f(x)$ is constant.

So we have that $f(x)=c$ where $c$ is a real number.

Since $f(0)=1$ and $f(0)=c$ , then by transitive property $1=c$ .

So $f(x)=1$ .

Checking:

$h(x)=1 \cdot g(x)$

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So the following conditions were met.

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Step-by-step explanation:

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