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2 years ago

Which inequality or inequalities have the same solution as 10≤x+4? 0≤x+14 6≤x 14≤x 0≤x−6

Mathematics

1 answer:

Anna007 [38]2 years ago

6 0

Answer:

6 ≤ x and 0 ≤ x - 6

Step-by-step explanation:

The original equation of inequality is 10 ≤ x + 4 ....... (1)

It gives 6 ≤ x or 0 ≤ x - 6

Therefore, 0 ≤ x + 14 does not mach with the inequality (1).

And the same solution will not be there for them.

Again, 14 ≤ x also does not match with inequality (1).

And the same solution will not be there for them.

Therefore, 6 ≤ x and 0 ≤ x - 6 gives the same solution as (1).

(Answer)

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Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,

Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

$[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x$ [/tex]

Now we change the variables.

$F(x)=log x-\frac{2}{3}$

F(x) and g(x) are not inverse functions.

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2 years ago

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people ans

vladimir2022 [97]

Answer:

There is no following, we have data of all the people

Step-by-step explanation:

There where Sixty-five salespersons asked and the if we add all the persons that where asked it is the same. So there is no following

Fourteen people answered that they generally sell two cars; 14

nineteen generally sell three cars; 19

twelve generally sell four cars; 12

nine generally sell five cars; 9

eleven generally sell six cars 11

Adding 14+19+12+9+11=65 persons

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2 years ago

Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15

Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)

$\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}$

Now, we know that, an explicit formula is an expression for finding the nth term,

So, in our problem, expression for finding nth term is a + (n – 1)d

$\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}$

Hence, the explicit formula is a(n) = 15(n – 10).

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