+7<br> What is the average rate of change of g over the interval -2,4/?

The difference of the square of a number and 18 is equal to 3 times that number. Find

ololo11 [35]

Answer:

6.

Step-by-step explanation:

To solve this, you can set up an equation as such:

x²-18= 3x

Now, rearrange this to make it an equation in standard form:

x²-3x-18=0.

Simply turn this equation into factored form:

(x-6)(x+3)= 0.

The only positive solution here is x=6.

7 0

4 years ago

The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are

Mamont248 [21]

The correct statements about the scenario are;

The function is an arithmetic sequence
The number 2 is the number of tables added when t increases by 1.
The number 4 represents the number of people that can be seated at an event if only 1 table is available.

According to the function given;

p(t)=4+2(t−1)

Evidently, the function, p(t) represents the number of people that can sit when t tables are available.

T(n) = a + d(n -1)

In essence, the function resembles that of a general arithmetic progression with first term, a = 4.

The common difference, d = 2.

The statements which are correct are therefore as listed above.

Read more:

brainly.com/question/23827460

5 0

3 years ago

You put some money in a bank account one year ago

vaieri [72.5K]

Answer: Balance-28=-0.25(months-8)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x

ruslelena [56]

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, $2(2x+3)$ is equal to $4x+6$ . However, $2(2x+3)$ is not equal to $4x+6$ according to Mr. Burrows.

Put $x=5$ in $2(2x+3)$

$2[2(5)+3]=2(10+3)=2(13)=26$

Put $x=5$ in $4x+6$

$4x+6=4(5)+6=20+6=26$

Therefore,

$2(2x+3)=4x+6$

Yes, the same answer is obtained.

3 0

3 years ago

What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in yo

Sveta_85 [38]

Answer:

Exponentials and logarithms are inverses of each other.

Step-by-step explanation:

Exponentials and logarithms are inverses of each other.

For logarithmic function:

Domain = $\left ( 0,\infty \right )$ , Range = $\left ( -\infty ,\infty \right )$

Vertical asymptote is y - axis.

x - intercept is (1,0)

For exponential function:

Domain = $\left ( -\infty ,\infty \right )$ , Range = $\left ( 0,\infty \right )$

Horizontal asymptote is x - axis.

y- intercept is (0,1)

Both exponential and logarithmic functions are increasing.

For example:

Solve: $\log x=\frac{\log 5+\log 3}{\log 3^2}$

$\log x=\frac{\log 5+\log 3}{\log 3^2}\\\log x=\frac{\log (5\times 3)}{2\log 3}\,\,\left \{ \because \log (ab)=\log a+\log b\,,\,\log a^b=b\log a \right \}\\=\frac{\log 15}{2\log 3}$

$\Rightarrow \log x=\frac{\log 15}{2\log 3}\\\Rightarrow x=e^{\frac{\log 15}{2\log 3}}\,\,\left \{ \because \log x=y\Rightarrow x=e^y \right \}$

4 0

3 years ago

+7 What is the average rate of change of g over the interval -2,4/?