3 years ago

(2.5 • 10^4) - (1.5 • 10^3) Evaluate please, can you show the steps

1 answer:

8 0

According to PEMDAS, you would look in the parenthesis first. In the first set of parenthesis we have an exponent. 10x10x10x10 is 10,000. Then we multiply this by 2.5. We now have 25,000. We put this to the side..

Next, we do the same thing on the other side -- 10x10x10 is 1,000 and then you multiply that answer by 1.5 and we have 1,500. Now we can subtract. 25,000 - 1500 = 23,500 :)

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Read 2 more answers

Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .