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3 years ago

Simplify 7 (2x + 4) + 14.

Mathematics

1 answer:

bearhunter [10]3 years ago

6 0

Answer: 14x + 42

7(2x+4)+14

14x + 28 + 14

14x + 42

Step-by-step explanation:

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You are given the function f(x)=1/x^2+10. f(x) is concave up whenever: A. x^2−10 is negative. B. 3x^2−10 is positive. C. 3x^2+10

lukranit [14]

Answer:

f(x) is concave up whenever:

B. 3x²−10 is positive

f(x) is concave down whenever:

A. 3x²−10 is negative

The points of inflection of f(x) are the same as:

B. the zeros of 3x²−10

Step-by-step explanation:

Given the function f(x) = 1 / (x²+10)

We can determine the concavity by finding the second derivative.

f"(x) > 0 ⇒ f(x) is concave up

f"(x) < 0 ⇒ f(x) is concave down

Then

f'(x) = (1 / (x²+10))' = -2x / (x²+10)²

⇒ f"(x) = -2*(10-3x²) / (x²+10)³

if f"(x) = 0 ⇒ -2*(10-3x²) = 0 ⇒ 3x²-10 = 0

f(x) is concave up whenever 3x²−10 > 0

f(x) is concave down whenever 3x²−10 < 0

The points of inflection of f(x) are the same as the zeros of 3x²-10

it means that 3x²-10 = 0

7 0

3 years ago

I will mark u brainleiest if u help me and 5 stars

Gennadij [26K]

Answer:

$\boxed{50}$

Step-by-step explanation:

Because the initial temperature is 40 degrees and it increases by 10, add the two values together to get the final temperature.

40 + 10 = 50

Therefore, the final answer is 50 degrees.

8 0

3 years ago

Read 2 more answers

Find the pattern and identify the next 3 terms in the sequence 5, -10, 20...

Marta_Voda [28]

Answer:

-40, 80, -160

Step-by-step explanation:

5(-2)^n-1

where n is the position

6 0

2 years ago

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

2 years ago

TIME REMAINING

Kaylis [27]

Answer:

umm i think it is 5 cm but im not sure

5 0

3 years ago