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3 years ago

Find the domain of each function using interval notation.

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

$(3, \infty)$

Step-by-step explanation:

You have the square root of an expression in the denominator.

A square root cannot have a negative number inside, but it can have zero or positive.

Since this square root is in the denominator, it also cannot have a zero inside; it can only have positive values inside. You must set the expression inside the square root greater than zero, and solve for x.

$x - 3 > 0$

$x > 3$

$(3, \infty)$

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A new car worth $20,000 loses 20% of its value every year. Is the value of the car represented by a linear or exponential functi

madreJ [45]

Exponential.

One way to think about this, is to ask how much you will lose each year. The first year you're losing 20% of $20,000 ($4,000). The second year you're losing 20% of 16,000 ($3,200). The dollar value your car loses each year diminishes exponentially, so it is not a linear but an exponential function.

7 0

3 years ago

I need help with my math hw lol

Iteru [2.4K]

Answer:

A,B and D are correct
10) The LCM of 6 and 12 is 12

Step-by-step explanation:

For the first question:

$2\frac{1}{2}$ < $2\frac{3}{4}$ ✅
-1.25<-0.75 is correct as -0.75 is closer to zero meaning it is bigger ✅
1.75<-1/4 is incorrect as negative numbers are smaller than positive numbers ❎
1.75>0.5 ✅
$2\frac{1}{2}$ > $2\frac{3}{4}$ ❎
-1.25>-1/4 is incorrect as they are equal

For the second equation:

Multiples of 6 are:

6,12,18...

Multiples of 12 are:

12,24,36...

So the lowest one in both is 12

6 0

3 years ago

Read 2 more answers

12 pls. Dis is due tomorrow I need helppp

givi [52]

Multiplying positive numbers always comes out positive, no matter how many there are. So you can forget about the positive ones.

Every two negative numbers in a multiplication produce a positive.
Another way to say that is: If the number of negative ones is EVEN,
the answer is positive, and if it's ODD, the answer is negative.

That monster product of eight numbers in problem #12 will be negative,
because there are an odd amount of negative factors in it.

7 0

3 years ago

graph each equation for the interval -360 is less than or equal to x and 360 is greater than or equal to x: y=1/2cos(2x+60)

lianna [129]

Answer:

See graph

Step-by-step explanation:

We want to graph $y=\frac{1}{2}\cos(2x+60\degree)$ on the interval $-360\degree \le x \le 360\degree$

We need to plot some few points

$(-30\degree,\frac{1}{2})$

$(-15\degree,\frac{\sqrt{3}}{4})$

$(0\degree,\frac{1}{4})$

$(15\degree,0)$

$(30\degree,-\frac{1}{4})$

$(45\degree,-\frac{\sqrt{3}}{4})$

$(60\degree,-\frac{1}{2})$

$(75\degree,-\frac{\sqrt{3}}{4})$

$(90\degree,-\frac{1}{4})$

$(105\degree,0)$

$(120\degree,\frac{1}{4})$

$(135\degree,\frac{\sqrt{3}}{4})$

$(150\degree,\frac{1}{2})$

This will give us one cycle.

We then use the pattern to complete the graph on the interval

$-360\degree \le x \le 360\degree$

6 0

3 years ago

There are 9 cherry cokes, 3 diet cokes, and 4 coke zeros in a cooler. What is the proabiliyt of selecting a drink and getting a

Minchanka [31]

So there are 16 cokes in total...
the probability of selecting a cherry coke is 9/16
the probability of selecting a coke zero is 4/16
for there to be no replacement I guess you could combine diet cokes with coke zero because they are both cokes..
I don't know EXACTLY how to get the probability without a replacement.. sorry

5 0

3 years ago