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2 years ago

What is the domain of the given function?

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

7 0

Easy buddy....

_________________________________

Remember, from now on, wherever the function domain is asked

They mean the same inputs or xs of the function.

Now you can answer them yourself but I like to help you to do it buddy.

_________________________________

The first function's domain is :

D = { -6 , -1 , 0 , 3 }

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

The second function's domain is :

D = { -7 , -6 , -2 , -1 , 0 , 1 , 3 , 9 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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A red ant travels 9/8 inches in 3/4 minutes and 3 3/8 inches in 2 1/4 minutes what is the ants speed in inches per minute? What

I am Lyosha [343]

Answer:

1. 1.5 inches per minute

2. 90 inches per hour

Step-by-step explanation:

speed = $\frac{distance}{time}$

1. total distance covered = $\frac{9}{8}$ + $\frac{27}{8}$

= $\frac{9+27}{8}$

= $\frac{36}{8}$

= 4 $\frac{1}{2}$ inches

Total time taken = $\frac{3}{4}$ + $\frac{9}{4}$

= $\frac{3 +9}{4}$

= $\frac{12}{4}$

= 3 minutes

The ants average speed = $\frac{4.5}{3}$

= 1 $\frac{1}{2}$

= 1.5

The ants speed is 1 $\frac{1}{2}$ inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = $\frac{3}{60}$

= $\frac{1}{60}$

= 0.05 hours

Speed = $\frac{4.5}{0.05}$

= 90 inches per hour

The red ants speed is 90 inches per hour.

3 0

3 years ago

8. Find the slope of the line passing through<br> (4,10) and (8,30)

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3 years ago

If $5200 is invested at a rate of 8.6% compounded quarterly, how long will it take, to the nearest hundredth of a year, until th

dexar [7]

Answer:

$t= 9.43\ years$

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

$t=?\ years\\ P=\$5,200\\ r=8.6\%=8.6\100=0.086\\n=4\\A=\$11,600$

substitute in the formula above

$11,600=5,200(1+\frac{0.086}{4})^{4t}$

$11,600=5,200(1.0215)^{4t}$

$(11,600/5,200)=(1.0215)^{4t}$

Applying log both sides

$log(11,600/5,200)=log(1.0215)^{4t}$

applying property of logarithms

$log(11,600/5,200)=(4t)log(1.0215)$

$t=log(11,600/5,200)/[(4)log(1.0215)]$

$t= 9.43\ years$

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3 years ago

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what intere

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2 years ago

What is the domain and range of y=x^2?

r-ruslan [8.4K]

Hi there! the best way of solving this is picturing out what the graph might look like. Let's assume you had the graph of a parabola y=x^2. You know that for every x you substitute, there'd always be a value for y. Thus, the domain is ALL REAL NUMBERS or from -INFINITY to + INFINITY. The range on the other hand is different. We know that any number raised to the second power will always yield a positive integer or 0. Thus, y=x^2 won't have any negative y-values as the graph opens upward. Therefore, the range is: ALL REAL NUMBERS GREATER THAN OR EQUAL TO 0. or simply: 0 to +INFINITY.

<span>On the other hand, a cubic function y=x^3 is quite different from the parabola. For any x that we plug in to the function, we'd always get a value for y, thus there are no restrictions. And the domain is ALL REAL NUMBERS or from -INFINITY to + INFINITY. For the y-values, the case would be quite similar but different to that of the y=x^2. Since a negative number raised to the third power gives us negative values, then the graph would cover positive and negative values for y. Thus, the range is ALL REAL NUMBERS or from -INFINITY to + INFINITY. Good luck!!!:D</span>

3 0

3 years ago

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