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3 years ago

(-7-3i)(11-8i) Simplified into the a+bi form

Mathematics

1 answer:

shtirl [24]3 years ago

5 0

Answer: what

Step-by-step explanation:

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(No links I’ll report)

Novay_Z [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

2 and square root of 2 + square root of 8 - 4 and square root of 1 over 2

Orlov [11]

Answer:

2.828427125, 2.82 or just round it to 3 if you want

Step-by-step explanation:

All you have to do is type it into the Desmos Scientific Calculator exactly how you see it.

3 0

3 years ago

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.

3 0

2 years ago

10pts dont answer bogus or reported

ELEN [110]

Answer:

6 hours and 45 minutes

Step-by-step explanation:

162÷24=6.75

6.75=6 hours and 45 min

4 0

2 years ago

Determine whether the following equation defines y as a function of x.

Aleks04 [339]

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

x + y = 27

defines y as a function of x.

if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

x + y = 27

defines x as a function of y.

So now we need to isolate x to get:

x = f(y) = 27 - y

Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

3 0

3 years ago