The difference between the product of four and a number and six

Solve four square root of two plus five square root of four and explain whether the answer is rational or irrational. The answer

Rina8888 [55]

Answer:

A.The answer four square root of two plus ten is irrational because the sum of a rational number and irrational number is an irrational number.

Step-by-step explanation:

Given the question as 4√2 + 5√4 the sum is

4√2 + 5*√4

4√2 + 5*2

4√2 + 10

Putting an irrational number in decimal form, it goes on forever without repeating.

4*√2 +10 = 4× 1.41421356237 +10

=15.6568542495----------------which irrational

8 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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Sam is a school leader. She wants to decide whether makeup should be allowed in school or not. She

anastassius [24]

Answer:

Following are the sample list can be attached as follows:

Step-by-step explanation:

In the given question some information is missing that is attachment of list which can be attached as follows:

please find the attachment list:

by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.

8 0

3 years ago

A reflection of the pink triangle is shown. Which transformation makes this reflection?

lapo4ka [179]

Answer:

The answer is A on the last question.......

Step-by-step explanation:

5 0

3 years ago

Micheal has been awarded a pay rise of 4%.His salary is £ 24 492 <br> What was his apart before?

Nesterboy [21]

Because there was a pay rise, we can write the equation as x+0.04x = 24.492 and solve for x.

x+0.04x = 24.492
1.04x = 24.492
x=23.55

His original pay was £23.55

6 0

3 years ago

￼￼ The difference between the product of four and a number and six￼

The difference between the product of four and a number and six