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nalin [4]
3 years ago
14

6 • (4 + 2)2 – 32 answer.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

This is a classic order of operations question

I always remember order of operations as PEMDAS, or

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

That is the order to do items, from left to right. Multiplication and decision take place at the same time, as do addition and subtraction

So lets look at your problem: 6 • (4 + 2)² – 32

The first thing to do is what is in the parentheses, the 4 + 2

6 • (6)² – 32

The 2nd thing is the exponent

6 • 36 – 32

Next we do the multiplication

216 - 32

And finally the subtraction, leaving us with

184

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Which statement correctly identifies a point on the graph of f–1(x)?
Black_prince [1.1K]

Answer:

Step-by-step explanation:

I didn’t see any choices but an inverse function switches the x and y values.

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7 0
3 years ago
Perform a first derivative test on the function ​f(x)equals2 x cubed plus 3 x squared minus 120 x plus 6​; ​[minus5​,8​]. Bold
maria [59]

Answer:

a) Critical points

x = 4 and x = -5

b) x = 4 corresponds to a minimum point for the function f(x)

x = - 5 corresponds to a maximum point for the function f(x)

c) The minimum value of f(x) in the interval = -298

The maximum value of f(x) in the interval = 431;

Step-by-step explanation:

f(x) = 2x³ + 3x² - 120x + 6 in the interval [-5, 8]

a) To obtain the critical points, we need to obtain the first derivative of the function with respect to x. Because at critical points of a function, f(x), (df/dx) = 0

f'(x) = (df/dx) = 6x² + 6x - 120 = 0

6x² + 6x - 120 = 0

Solving the quadratic equation,

x = 4 or x = -5

The two critical points, x = 4 and x = -5 are in the interval given [-5, 8] (the interval includes -5 and 8, because it's a closed interval)

b) To investigate the nature of the critical points, we obtain f"(x)

Because f'(x) changes sign at the critical points

If f"(x) > 0, then it's a minimum point and if f"(x) < 0 at c, then it's a maximum point.

f"(x) = (d²f/dx²) = 12x + 6

at critical point x = 4

f"(x) = 12x + 6 = 12(4) + 6 = 54 > 0, hence, x = 4 corresponds to a minimum point.

at critical point x = -5

f"(x) = 12x + 4 = 12(-5) + 4 = -56 < 0, hence, x = -5 corresponds to a maximum point.

c) At x = 4,

f(x) = 2x³ + 3x² - 120x + 6 = 2(4)³ + 3(4)² - 120(4) + 6 = -298

At x = - 5

f(x) = 2x³ + 3x² - 120x + 6 = 2(-5)³ + 3(-5)² - 120(-5) + 6 = 431

7 0
2 years ago
Plz hellppppp me u won’t regret it
nexus9112 [7]

Answer:

Area of circle = 200.96 units²

Step-by-step explanation:

The formula to find the area of a circle is: πr², where r is the radius (which is half of the diameter)

So the diameter is 16 and of 16 is 8, which is the radius.

Sub it into the formula of a circle and you would get the area of a circle.

3.14 x 8²

Use calculator

Area of circle = 200.96 units²

8 0
2 years ago
Guys, I really really need some help badly! I don't understand how to get the "GCF" aka greatest common factor. Can someone plea
Setler [38]

After I explain the procedure in full detail, you'll be able to generate
your own work.  Here it is.

To find the greatest common factor of two numbers:

1).  List all of the factors of the first number.

2).  List all of the factors of the second number.

3).  Scan both lists, and find factors that are on BOTH lists.
These are the COMMON factors.  Write them down in a short list.

4).  Scan the short list.  Find the biggest number on it.
That's the Greatest Common Factor.

OK, I'll go through the first one in your picture . . . 24  and  42 :

1). Factors of 24:  <em>1,  2,  3,</em>  4,<em>  6,</em>  8,  12,  24

2). Factors of 42:  <em>1,  2,  3,  6,</em>  7,  14,  21,  42

3). Short list:    <em>1, 2, 3, 6</em>

4). Biggest number on the short list:<em>  <u>6</u> </em>


5 0
3 years ago
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