PLZ HELP ME ASAP!!!!!!!! THX!!!!!!!!!!!!!

You order items from a menu that total $10.75. your bill comes to $11.66, including tax. what is the percent of the increase (ta

Masja [62]

Answer:

Leonardo emiliano Castañeda angeles

3 0

3 years ago

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Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

Therefore, the statement that ''The range of $f(x)$ is $y > \frac{1}{10}$ " is FALSE

Analyzing option C)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is $-\infty \:$

Thus,

$\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Therefore, the statement that ''The domain of $f(x)$ is $x>0$ '' is FALSE.

Analyzing option D)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0

4 years ago

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Use a calculator to find the square for 7.6

natita [175]

Answer:

Using a calcuator, $7.6^{2} =57.76$

6 0

2 years ago

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Heather chops 250 carrots in 2 hours, and 750 carrots in 6 hours. Write an equation that represents the direct relationship betw

Luda [366]

C represents carrots. t represents time in hours.

c= 125t

To find this equation, I found the unit rate, or how many carrots were chooped per hour. I then plugged it into slope intercept form (y=mx+b) where the y intercept was 0 because she can chop 0 carrots in 0 hours.

3 0

3 years ago

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HELP ME PLEASEE ASAP!!!! PLEASEE

11111nata11111 [884]

Answer:

Step-by-step explanation:

So there is this property,

Sum of two angle of triangle = exterior angle

So based on this we can form an algebraic equation (NOTE: this is an equilateral triangle so all the sides are 60°)

$4x + 20 = 60 + 60 \\ 4x = 120 - 20 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25$