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viktelen [127]
3 years ago
10

Find the function h(x) = f(x) ∘ g(x) if f(x) = x(2 - x) and g(x) = 3x.

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0
F(x) = x(2 - x)
g(x) = 3x
Substitute 3x for x in the function f(x)

h(x) = f(x) <span>∘ g(x) = f(g(x)) = 3x(2 - 3x)
</span>

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Suppose you draw a card from a well shuffled deck of playing cards what is probability of drawing a ace
Tasya [4]
So there are a totally of 52 cards right?(not counting jokers because jokers are not in official cards)
And there are 4 aces right?
So there are 52 outcomes and 4 of them are aces.
So when we write probabilities we write it in fraction form where the total number of outcomes is the denominator and the ones you want to get are the numerator OK?
So the total number is outcomes is 52 and becomes the denominator and 4 the number of aces become the numerator.
So 4/52 right?
And we now have to simplify it right?
And so we divide by the highest common factor right?
In this case 4 because there isn’t other numbers that are factors and greater than 4.
So 4 divided by 4/52 is 1/13 right?
4 goes into 4 1 time and 13 times into 52.
So your answer is 1/13
3 0
3 years ago
The equation of a circle is x2 + (y – 10)2 = 16. The radius of the circle is units. The center of the circle is at .
DENIUS [597]

Answer:

(0, 10)

Step-by-step explanation:

Compare:

x2 + (y – 10)2 = 16 and

(x - h)² + (y - k)² = 4²

The center of the circle is at (h, k), which in this case is (0, 10).

4 0
3 years ago
Read 2 more answers
One bag of rice that weighs 4.5 pounds will have enough rice if a recipe calls for 60 ounces of rice. (1 pound = 16 ounces)
dimulka [17.4K]

Answer:

Step-by-step explanation:

Since the bag of rice is 4.5 pounds, and there are 16 ounces per pound, multiply 16 x 4 = 64. Now what is half of 16? 8! So divide 5/8 = 0.625.

So in the end, yes the bag of rice will have enough rice. Here's my math:

16 x 4 = 64

5 / 8 = 0.625

So, you will have 64.625 ounces of rice which is plenty for your recipe!

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I really hope this helps you!

6 0
3 years ago
Henry's uncle from Japan promised to give him 35 g of gold. The local jewelry exchange will buy gold for $1224 per ounce. How mu
galina1969 [7]

Answer:

$1530

Step-by-step explanation:

First of all, it is required to convert 35g of gold into ounce.

Since,

1 oz = 28 g

or, we can write,

1 g = \frac{1}{28} oz

Now, for 35 g of gold, we can write,

35 * 1 g = 35 * \frac{1}{28} oz\\35 g = 1.25 oz

Since, local jewelry will buy at $ 1224 per oz, and we have 1.25 oz of gold, so,

1.25 * 1244\\$1530

4 0
3 years ago
Read 2 more answers
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
Whitepunk [10]

Answer:

A=81\pi $ m^2

Step-by-step explanation:

Circumference of the column =18\pi $ meters

Circumference of a circle=2\pi r

Therefore:

2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters

Area of a Circle =\pi r^2

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

=\pi *9^2\\=81\pi $ m^2

5 0
3 years ago
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