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3 years ago

Describe the end behavior of the function: f(x) = 1/2*2^x +3

1 answer:

7 0

Although there is (1/2) in the front of the expression, the base is 2, not (1/2). (1/2) is a positive number, and 2 is a positive number larger than 1, so as x approaches infinity, f(x) approaches infinity as well. as x approaches negative infinity, f(x) approaches 3.

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How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?

Nataliya [291]

To find the number of terms in the arithmetic sequence, we need to use the formula
$a_{n}= a_{1}+(n-1)d$
where $a_{n}$ is the nth number, $a_{1}$ is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21

Therefore, there are 21 terms in the arithmetic sequence given.

7 0

3 years ago

Solve this equation for k. 3 − 3k + 7k = 5b Enter the correct answer in the box.

Sloan [31]

Answer:

k=5b/4−3/4

Step-by-step explanation:

3-3k+7k=5b

Isolate the variable by dividing each side by factors that don't contain the variable.

k=5b/4−3/4

-hope it helps

8 0

2 years ago

Simplify 2xy + 3y - 13xy + 4x - 17y

Yakvenalex [24]

Answer:

-11xy-14y+4x

Step-by-step explanation:

4 0

3 years ago

Will mark brainliest! Problem is in pic below, no links please. Thanks.

marusya05 [52]

Answer:

Correct option is D $\frac{P}{(0.8)(1.08)}$

Step-by-step explanation:

Let the laptop's original cost be = L

After 20% discount its price will be (100 - 20)% × L = 0.8L

8% sales tax on this price = (100 + 8)% × 0.8L = 1.08 × 0.8L

So, p = 1.08 × 0.8L

⇒ L = $\frac{p}{(0.8)(1.08)}$

7 0

3 years ago

A game show has a bonus round where a contestant gets to spin a balanced wheel that is divided into eighths. The contestants win

kondaur [170]

The answer is A. 142.

After a profound research, I found out that the wheel numbers are:
25, 80, 60, 20, 100, 500, 150, 200.

To calculate how many cans of turtle wax can the game show expect to give out per player in the long run, we need to calculate the mean of the numbers on the wheel:
 $x= \frac{25+80+60+20+100+500+150+200}{8} = \frac{1,135}{8}= 141.875$

⇒ x ≈ 142

5 0

3 years ago