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iogann1982 [59]
2 years ago
15

Explain why the initial value of any function of the form f(x) = a(bº) is equal to a.

Mathematics
1 answer:
blondinia [14]2 years ago
4 0
In the function f(x) = a(b^x), the initial value is always a. This is because a is independent on x. So, when x changes, b^x will change as well but a will remain the same

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Which is the best estimate for the width of your index finger
fgiga [73]
I'd say centimeters, if that's what you're looking for. Maybe 1-2 cm.
4 0
3 years ago
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I need help please 36 points
geniusboy [140]

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are:  and .

--------------------------------

The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .

5 0
2 years ago
1. Complete the inequality below to describe the
dezoksy [38]

Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be

- 4 < x \leqslant 4

The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be

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5 0
2 years ago
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Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen o
Alexus [3.1K]

Answer:

250 batches of muffins and 0 waffles.

Step-by-step explanation:

-1

If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function

P = 2a + 1.5b

subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.

Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.

You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.

6 0
3 years ago
Write a number with two decimals places that is bigger than 4 1/5 but smaller then 4.25 (Could u explain so i can actually under
zubka84 [21]
<u>The possible answers are:
</u>
<u /><u /><u><em /></u>4.21
4.22
4.23
4.24

Explanation:
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Divide 1 by 5:  1/5 = 0.2.

This makes 4 1/5 = 4 + 1/5 = 4 + 0.2 = 4.2.

We want a number between 4.2, which can be written as 4.20, and 4.25.  Any number between will do, so the possible answers would be 
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7 0
3 years ago
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