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3 years ago

Which exponential function is represented by the values in the table?

Mathematics

2 answers:

inn [45]3 years ago

8 0

Answer: Its C.

Step-by-step explanation: Edge2020

svlad2 [7]3 years ago

7 0

Here we use the equation

$y = a(b)^x$

Taking points (0,4), (1,2)

Substituting the point (0,4) , we will get

$4 = a(b)^0
\\
4 = a(1) \\
a =4$

Substituting (1,2) we will get

$2 = 4 (b)^1
\\
2/4 = b
\\
b = 1/2$

So we have

$a = 4, b = 1/2$

Therefore , required equation is

$y = 4(1/2)^x$

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The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fix

dimulka [17.4K]

Let X be the number of energy drinks sold.

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.

The manufacturing cost for X energy drinks is

$1.20x$

Fixed cost is $8000.

Therefore, cost function is

$C(x)=1.20x+8000$

Selling price of each drink is $2.

Therefore, the revenue function is

$R(x)=2x$

Hence, the revenue function is

$R(x)=2x$

6 0

1 year ago

Sharon bought 100/300/100 policy with a $100 deductible on collision and $100 deductible on comprehensive coverage.

Ronch [10]

The answer would be 1,928.85

8 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 10 14

abruzzese [7]

Answer:

9.8 units

Explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

5 0

2 years ago

Which describes the range for a set of ordered pairs?

Ulleksa [173]

Answer:

The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).

Step-by-step explanation:

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3 0

3 years ago

In one town, 47% of all voters are Democrats. If three

34kurt

Answer:

The probability that the all three votes are Democrats

P(X=3) = 0.1038

Step-by-step explanation:

Step(i):-

Given that the all voters are democrats

The probability that the all voters are democrats

p = 47% =0.47

q = 1-p =1-0.47 = 0.53

Step(ii):-

Let 'X' be the random variable in binomial distribution

$P(X=r) = n_{C_{r} } p^{r} q^{n-r}$

The probability that the all three votes are Democrats

P(X=3) = 0.1038

n=3 and r=3

$P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}$

$P(X=3) = 1 (0.47)^{3}$

P(X=3) = 0.1038

Final answer:-

The probability that the all three votes are Democrats

P(X=3) = 0.1038

5 0

3 years ago