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DIA [1.3K]
3 years ago
15

Determine the domain and range of the function f(x)= 3x+2. Also, state the intervals where the function f(x)= 3x+ 2 is increasin

g or decreasing.​
Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

Increasing on it's domain (-\infty,\infty) because the slope is positive.

The domain and range are both all real numbers, also known as

(-\infty,\infty).

Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

The domain is all real numbers.

In interval notation that is (-\infty,\infty).

Now the range is the set of numbers that get hit by y=3x+2.

Well y=3x+2 is a linear function that is increasing.  I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.

If slope is positive, then the line is increasing.

If slope is negative, then the line is decreasing.

So y=3x+2 hits all values of y because it is increasing forever.  The range is all real numbers. In interval notation that is (-\infty,\infty).

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Which number line represents the solution set for inequality?
AlekseyPX

Answer:

Third graph down

Step-by-step explanation:

2x -6 ≥ 6(x-2)+8

Distribute

2x - 6≥6x -12+8

Combine like terms

2x - 6≥6x -4

Subtract 2x from each side

2x-6-2x ≥6x-2x-4

-6 ≥4x-12

Add 4 to each side

-6+4 ≥4x-4+4

-2 ≥4x

Divide by 4

-2/4 ≥4x/4

-1/2≥x

Closed circle at -1/2

Line going the the left

8 0
3 years ago
the alabama river is 729 miles. if 1 mile equals 1.61 kilometers, find the length of the river to the nearest whole kilometer. (
Gekata [30.6K]
1 times 729=729 so

1mile=1.61kiloneter
multiply both sides by 729 to get 729 miles on left side
729 miles=1173.69 kilometer

whole
1173.6
6>5 so round up
1174


answer is 1174 kilometer
4 0
3 years ago
FIRST PERSON TO ANSWER BRAINLIEST+POINTS, NEED TO EXPLAIN, ANSWER, AND GIVE AN EX.
Eddi Din [679]

Answer: 2nd diagram, explanation below

Step-by-step explanation:

Since it is 8 magnet students for 3 magic students, the second diagram is correct.

The second part, you would need to set up a system of equations:

Let m = magnet students and t = magic students

t + 25 = m

(8/3)t = m. Since m = m, substitute: t + 25 = (8/3)(t). Now solve for t: t = 8t/3 - 25,

t = (8t - 75)/3, in this step I turned 25 into 75/3 and place it with 8t so it doesn't change the value of the equation.

3t = 8t - 75, in this step I multiplied every term by 3 to eliminate the demoninator. Now I solve the final steps:

-5t = -75, 5t = 75

t = 15

Hope this helps, please consider making me Brainliest.

5 0
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Step-by-step explanation:

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To play the lottery in a certain state a person has to correctly select 5 out of 45 numbers
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is that a true or false kind of question or what is it meant to be?

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