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aniked [119]
3 years ago
8

How do you simplify this expression –12 ÷ 3 • (–8 + (–4^2) – 6) + 2

Mathematics
1 answer:
Temka [501]3 years ago
7 0
-12/3 • (-8+(-16)-6) +2
-12/3 • (-24-6) +2
-12/3 • (-30) +2
-4 • (-30) +2
120+2
122
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Example 3 – Solve: 6x3 – 16x = 4x2

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3 years ago
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π (a) Find the inte
marta [7]

Answer:

f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π

We plot the function using a graphing calculator (See attached image below)

a) 1. Find the interval on which f is increasing.

f(x) increases for

x ∈ [π/2 , 7π/6] ∪ [3π/2, 11π/6]

2. Find the interval on which f is decreasing

f(x) decreases for

x ∈ [0 , π/2) ∪ (7π/6, 3π/2) ∪ (11π/6, 2π]

(b) Find the local minimum and maximum values of f

Local minimum.      f = -9

Local maximum.      f = 4.5

(c) 1. Find the inflection points

Please see second image attached

Points,

(x,y) = (2.50673, -2.66882)

(x,y) = (4.14456, 3.79382)

(x,y) = (5.28022, 3.79382)

2. Find the interval on which f is concave up.

x ∈ [0 , 2.50673] ∪ [4.14456, 5.28022]

3. Find the interval on which f is concave down.

x ∈ (2.50673, 4.14456) ∪ (5.28022, 2π]

7 0
2 years ago
Pick any three-digit counting number. Reverse the digits of the original number. The difference of these two numbers has a tens
Eva8 [605]

As given,

Step 1: Pick any three-digit counting number

Lets pick the number 643

Step 2: Reverse the digits of the original number.

So, reverse becomes 346

Now, it says that the difference of these two numbers has a tens digit of 9.

Lets, check:

643-346=297

So, its true that the difference has a tens digit of 9.

Another example:

Lets take 449

So reverse is = 944

Difference = 944-449=495

Here also the tens digit is 9.

So, the condition applies to all 3 digit numbers.

7 0
3 years ago
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