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3 years ago

PLEASE Answer! I'll Give Brainliest And A Thanks For A GOOD Answer.

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

Answer: Your welcome the answer is in the attached Image.

Step-by-step explanation: mark me brainliest.

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Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)

EleoNora [17]

Start by multiplying each side of the inequality by $\sqrt{x + 1}$ and simplifying:

$2 \sqrt x + \frac{1}{\sqrt{x+1}} \leq 2 \sqrt{x + 1}$
$(2 \sqrt x + \frac{1}{\sqrt{x+1}})(\sqrt{x + 1}) \leq (2 \sqrt{x + 1})(\sqrt{x + 1})$
$2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)$
$2 \sqrt{x^2 + x} + 1 \leq 2x + 2$
$2 \sqrt{x^2 + x} \leq 2x + 1$
$\sqrt{x^2 + x} \leq x + \frac{1}{2}$

From here, we can square both sides to get

$x^2 + x \leq (x + \frac{1}{2})^2$
$x^2 + x \leq x^2 + x + \frac{1}{4}$
$0 \leq \frac{1}{4}$ , which is always true.

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3 years ago

The first term in this sequence is -1. Which function represents a recursive definition of the sequence?

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3 years ago

What is the volume of this figure?

RideAnS [48]

54 I believe because well you can break the shape up into some triangles and a square to find the area.

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4 years ago

Find the area of the circle 11 yd

lubasha [3.4K]

11yd is the diameter and circumference is 2πr = 2π(d/2) = πd = 11π yd

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4 years ago

Read 2 more answers

Gladys classifies the following system of equations.

netineya [11]

The system is inconsistent because the slopes are the same and the lines are different.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the following system of equations:

y = 6x + 2 (1)

y = 6x + 1 (2)

We can see that both equations have the same slope of 6 but have different y intercepts.

Hence the system is inconsistent because the slopes are the same and the lines are different.

Find out more at: brainly.com/question/13911928

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3 years ago