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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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Nazerhy deposits $8,000 in a certificate of deposit. The annual interest rate is 6%, and the interest will be compounded monthly

Likurg_2 [28]

Answer:

$A=\$14,555.17$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$8,000\\ r=6\%=6/100=0.06\\n=12$

substitute in the formula above

$A=8,000(1+\frac{0.06}{12})^{12*10}$

$A=8,000(1.005)^{120}$

$A=\$14,555.17$

4 0

3 years ago

Solve for x. 2(2-x) + 12x =44

Nataly [62]

Answer:

2(2-x)+12x=44

4-2x+12x=44

-4 -4

-2x +12x = 40

10x=40

/10 /10

x=4

Step-by-step explanation:

first you multiply the (2-x) by 2, you then subtract the 4 from both sides of the equation, you end up with -2x +12x = 40. Then subtract the 2x from the 12x and you end up with 10x. so now 10x=40. You then divide both sides by 10 and end up with x=10

sorry im not to good at explaining haha

8 0

2 years ago

A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at m

Len [333]

Answer: 0.500

Step-by-step explanation:

Given : A normal distribution has a mean $(\mu)$ of 10 and a standard deviation $(\sigma)$ of 1.

Let x be a random variable that represents numbers .

The probability of selecting a number that is at most 10 will be

$P(x\leq10)=P(\dfrac{x-\mu}{\sigma}\leq\dfrac{10-10}{1})\\\\=P(z\leq0)=0.500$

As the area occupied by standard normal curve less than equal to 0 = 0.500

So, required probability = 0.500

3 0

2 years ago

The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.

lidiya [134]

Answer:

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Step-by-step explanation:

We are given a function which represent population of a town after t years.

$f(t)=7248(0.983)^t$

It is an exponential function. Exponential function wither decease or increase it depends on factor.

$y=a\cdot b^x$

b is factor which decides factor of exponential function decrease or increase.

If b >1 then function increase

If 0<b<1 then function decrease.

If we see our problem $f(t)=7248(0.983)^t$

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.

7 0

2 years ago

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Find the circumference of a model Ferris Wheel with a diameter of 10 inches. Use 3.14 for pi. Round to the nearest tenth.

Naya [18.7K]

Answer:31.42

Step-by-step explanation:First you need to find the radius of the circle,so you know the radius is half of the diameter,so you take the radius(2) and multiplys by the pi which is 3.14 the formula is r^ x π

5 0

3 years ago

Read 2 more answers