Pip was thinking of a number. Pip doubles it and gets the answer of 50.8. What was the original number?

Mathematics

1 answer:

DerKrebs [107]2 years ago

8 0

Answer:

25.4

Step-by-step explanation:

If double of the number 'x' is 50.8, (2x=50.8)

Then the original number must be half of that value, (x=50.8/2)

50.8/2 = 25.4

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Suppose x is a real number and epsilon > 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in

kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let $y\in (x-\epsilon,x+\epsilon)$ . then we have that $x-\epsilon$ . Hence, it makes sense to define the positive number delta as $\delta=\min\{x+\epsilon-y,y-(x-\epsilon)\}$ (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ , and if we prove this, we are done. To prove it, let $z\in (y-\delta,y+\delta)$ , then $y-\delta$ . First, $\delta \leq y-(x-\epsilon)$ then $-\delta \geq -y+x-\epsilon$ hence $z>y-\delta \geq x-\epsilon$

On the other hand, $\delta \leq x+\epsilon-y$ then $z$ hence $z$ . Combining the inequalities, we have that $x-\epsilon$ , therefore $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ as required.

3 0

3 years ago

Please help me I need help

dsp73

Answer:

i think it would be 87% i have been working on ths for a mnet and it got confusing for a sec i may be rong but i am pretty shure that this is the answer

btw i cant spell

Step-by-step explanation:

8 0

3 years ago

CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST

AVprozaik [17]

$x^2 - 9x + 20=x^2-4x-5x+20=x(x-4)-5(x-4)=(x-5)(x-4)$