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Leto [7]
2 years ago
14

Brainliest!!!

Mathematics
1 answer:
joja [24]2 years ago
8 0

The function f(x) is a polynomial, while the function g(x) is a logarithmic function and the functions have the same range

<h3>The type of functions</h3>

The functions are given as:

f(x) = x³ + x² - 2x + 3

g(x) = log(x) + 2

The function f(x) is a polynomial, while the function g(x) is a logarithmic function.

<h3>The key features</h3>

For the polynomial function, we have:

  • Domain: -∞ < x < ∞
  • Range: -∞ < x < ∞
  • y-intercept = 3

For the logarithmic function, we have:

  • Domain: x > 0
  • Range: -∞ < x < ∞
  • y-intercept = undefined

By comparison, the functions have the same range

Read more about functions at:

brainly.com/question/2264373

#SPJ1

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When the lengths of the sides of a square are increased by 5 cm, the area is increased by 85 square cm. What was the size of the
Nataly [62]
First we will find the square root of the square with the added sides to find the side + 5.
√85 = 9.219
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3 years ago
Given the following list of numbers, find the mean. 5,6,12,2,5,12,14
mezya [45]

Answer:

the mean is 8

Step-by-step explanation:

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8 0
2 years ago
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
goldfiish [28.3K]

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

6 0
3 years ago
I need to know what the answer is and how to solve it
natka813 [3]
I put the ... because it just keeps on going. Just round it to 8.

6 0
2 years ago
Plzzzzz help will give brainliest to the right answer!! What is x?(pic down below)
Alekssandra [29.7K]

Answer: 5

Step-by-step explanation:

20 * 60 is 120 then divide it by 24

5 0
2 years ago
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