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3 years ago

What’s the solution to the system of equations

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

the answer to this systems of equation is (4, -4)

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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

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777dan777 [17]

Answer:

C) −2.2y−1.8

Step-by-step explanation:

1.2y+4.5-3.4y-6.3=

Combine Like terms:

=−2.2y−1.8

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How many minutes does it take to put 42 gallons of water in the tub at a rate of 5 1/4 gallons per minute?

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Solve for x if AB = 5x and BC = 3x + 24.

NikAS [45]

The value of x according to the given task is; 12.

<h3>What is the value of x?</h3>

It follows from the task content that the value of x is to be determined.

Since, lines AB and BC are both tangent to the circle and they both share a point of intersection; it follows that;

5x = 3x +24

collect like terms

2x = 24

divide both sides by 2

x = 24/2

x = 12.