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3 years ago

Which graph represents the function f(x) =1/3 |x|?

Mathematics

1 answer:

Arisa [49]3 years ago

5 0

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x , if x ≥ 0

and

f(x) = -1/3x , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.

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Answer:

I think it might be 56 degrees

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3 years ago

The number of employees for a certain company has been decreasing each year by 8%. If the company currently has 730 employees a

lana66690 [7]

Answer:

146

Step-by-step explanation:

730 divided by 100 equals 7.3 and 7.3 times 20 equals 146

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2 years ago

You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%

bezimeni [28]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&\$6000\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}$

$\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}$

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3 years ago

I need help with this problem

guapka [62]

Answer:

Step-by-step explanation:

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2 years ago

an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of th

Kitty [74]

Answer:

300

Step-by-step explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

Like Vanilla Did not like vanilla Total

Like Chocolate 48 12 60

Did not like chocolate 38 2 40

Total 86 14 100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

$\frac{60}{100}=\frac{x}{500}$

$\frac{60}{100} \times 500=x$

$300=x$

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.

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3 years ago