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3 years ago

Which graph shows the solution to the inequality -3x-7 <20?

Mathematics

2 answers:

mario62 [17]3 years ago

6 0

For this case we must indicate the graph of the following inequality:

$-3x-7$

We add 7 to both sides of the inequality:

$-3x$

We divide between -3 to both of the inequality taking into account that the meaning changes:

$x> \frac {27} {- 3}\\x> -9$

Answer:

$x> -9$

See attached image

Slav-nsk [51]3 years ago

3 0

Answer:

Graphs..?

Step-by-step explanation:

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3 years ago

Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.

elena55 [62]

Answer:

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

Step-by-step explanation:

Given

$f(b) = b^2 - 75$

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

$0 = b^2 - 75$

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$75 + 0 = b^2 - 75 + 75$

$75 = b^2$

Take square roots of both sides

$\sqrt{75} = \sqrt{b^2}$

$\sqrt{75} = b$

Reorder

$b = \sqrt{75}$

Expand 75 as a product of 25 and 3

$b = \sqrt{25*3}$

Split the expression

$b = \sqrt{25} *\sqrt{3}$

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$b = \±5 \sqrt{3}$

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3 years ago

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Answer:

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