Which equation represents the table of values?

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

7 0

Answer:

It is y = -1/2x + 1/2

Step-by-step explanation:

y = -0.5x + 0.5

answer choice B

ahrayia [7]3 years ago

5 0

Step-by-step explanation:

correct answer is b 100% ©®™✓°°°°°

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1 The rectangle below represents the base of a rectangular prism. The rectangle is 4 cm by 5 cm. The height of the rectangular p

Natalija [7]

Answer:

240 cm^3

Step-by-step explanation:

Volume of a rectangular prism = base area x height

the base is a rectangle, thus base area = width x length = 4 x 5 = 20 cm^2

20cm^2 x 12 = 240 cm^3

5 0

3 years ago

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.