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Paul [167]
2 years ago
13

Tell whether the given value is a solution of the inequality. 4k < k + 8; k = 3

Mathematics
2 answers:
Mekhanik [1.2K]2 years ago
8 0

Hey there!

4k < k + 8

= 4(3) < 3 + 8

= 12 < 11

11 is less than 12

So, this statement is FALSE

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Anuta_ua [19.1K]2 years ago
5 0

Answer:

Below

Step-by-step explanation:

  1. First substitute the given value in the inequality

You would then get : <em>4(3) < (3) + 8</em>

2. Do the math you would get <em>12 < 11 </em>

Which isn't true.

So the inequality is false and isn't a solution

Hopes this helps. :))

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<h2><u>SOLUTION</u><u>:</u></h2>

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This is your answer

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3 years ago
Given f (x) = x2 + 4x + 5, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?
meriva

By evaluating the quadratic function, we will see that the differential quotient is:

\frac{f(2 + h) - f(2)}{h} = 8 + h

<h3>How to get (f(2 + h) - f(2))/h?</h3>

Here we have the quadratic function:

f(x) = x^2 + 4x + 5

Evaluating the quadratic equation we get:

\frac{f(2 + h) - f(2)}{h}

So we need to replace the x-variable by "2 + h" and "2" respectively.

Replacing the function in the differential quotient:

\frac{(2 + h)^2 + 4*(2 + h) + 5 - (2)^2 - 4*2 - 5}{h} \\\\\frac{4 + 2*2h + h^2 + 8 + 4h  - 4 - 8 }{h} \\\\\frac{ 2*2h + h^2  + 4h   }{h} = \frac{8h + h^2}{h}

If we simplify that last fraction, we get:

\frac{8h + h^2}{h} = 8 + h

The third option is the correct one, the differential quotient is equal to 8 + 4.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

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Step-by-step explanation:

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