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3 years ago

The line graph shows the number of cars owned by some families how many families were there

Mathematics

1 answer:

lesantik [10]3 years ago

8 0

Answer:3

Step-by-step explanation:tw

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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.

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3 years ago

Click on the solution set below until the correct one is displayed

Effectus [21]

What solution set below

7 0

3 years ago

What is the area of the triangle? 13 10 12 units

Minchanka [31]

Answer:

I don't really know so sorry about that.

Step-by-step explanation:

3 0

3 years ago

Which linear inequality represents the graph below?

musickatia [10]

Answer:

Step-by-step explanation:

It has a negative slope, so B and C are eliminated. The graph also has a solid line instead of a dashed line. This means D is eliminated because it is only greater than. If the graph had a dashed line, then D would be correct, but it does not.

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2 years ago

Naudia rode her bike two miles south. Then, she went east for three miles. How far is she from her starting point? Round your

tia_tia [17]

You can see the answer down below

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2 years ago