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dem82 [27]
3 years ago
15

Hong needs to memorize words on a vocabulary list for Russian class. He has 14 words to memorize, and he is one-half done. How m

any words has hong memorized so far?
Mathematics
2 answers:
Snezhnost [94]3 years ago
5 0

Answer:

Step-by-step explanation:

He has done one half = ½

Finding ½ of 14

½ × 14

7

Hence, Hong has memorized 7 words

olasank [31]3 years ago
5 0

\huge \boxed{\mathfrak{Question} \downarrow}

  • Hong needs to memorize words on a vocabulary list for Russian class. He has 14 words to memorize, and he is one-half done. How many words has hong memorized so far?

\huge \boxed{\mathfrak{Answer} \downarrow}

  • Number of words Hong needs to memorize = \sf \: 14 \: words
  • Words he has finished = \sf \:  \frac{1}{2} \: of \: the \: words \: given  \\
  • Words left for Hong to memorize = ?

\huge \boxed{\mathfrak{Steps} \downarrow}

\large \sf \: 14 \times  \frac{1}{2}  \\\large \sf =  \bcancel14 \times  \frac{1}{ \bcancel2}   \\ \large \sf = 7 \times 1 \\  = \large \boxed{ \bf7 \: words}

=> Hong has <u>7 more words</u> to complete if he has completed about one-half of the total number of words given.

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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
3 years ago
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At the store beef was $27.52 for 2 pounds. If you bought 5 pounds, how much would it cost?
anastassius [24]

Answer:

$68.8

Step-by-step explanation:

27.52/2 = 13.76

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Find the slope of a line parallel to a line that contains the points (8, -3) and (2, 5).
Illusion [34]

Answer:

-\frac{4}{3}(Your answer choices were really confusing, so I just put the plain answer)

Step-by-step explanation:

To find the slope of a line with just two points, we can use the formula \frac{y2-y1}{x2-x1}. In this case, \frac{5-(-3)}{2-8}. This is \frac{8}{-6}. This reduces to -\frac{4}{3}

8 0
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100 Points to whoever answers
Kisachek [45]

The average rate of the change from x = 2 to x = 5 is about 20 , The domain is constrained at x =0

<h3>What is a Function ?</h3>

A function is a mathematical statement used to derive a relation between a dependent variable and an independent variable.

A) The vertical axis of the graph shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company , i.e is the x axis .

So the x-intercepts represent prices of the pencil at which the profit is 0

and The maximum value of the graph represents the maximum profit that can be obtained for any price of the pencil.

The Profit is increasing from (x = 0 to 5) and starts decreasing from x =5 to 10

B) From the graph

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The average rate of the change from x = 2 to x = 5 is about 20.

This indicates that the profit will increase at a an average rate of $20 for each $1 increase in price in that interval.

(C)The domain is constrained at x =0 as there it cannot be concluded that if the price is 0 , the profit will be 0 , and we are obligated to sell the pencil at x =6 , as the maximum profits are booked at that point.

To know more about Function

brainly.com/question/12431044

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