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Gala2k [10]
3 years ago
9

Consider the graph of the exponential function y= 3(2)^x. what is the y-intercept

Mathematics
2 answers:
miss Akunina [59]3 years ago
8 0
If you graph it, the y-intercept would be 3. Here's proof. 

Maksim231197 [3]3 years ago
4 0
The answer is
(0,3)

Hope this helps

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Solve for q. √3q + 2 = √5
34kurt

Answer:

q = 0.0186

Step-by-step explanation:

To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.

So

\sqrt{3q} + 2 = \sqrt{5}

\sqrt{3q} = \sqrt{5} - 2

We find the square of both sides of the equation. So

(\sqrt{3q})^{2} = (\sqrt{5} - 2)^{2}

3q = 0.0557

q = \frac{0.0557}{3}

q = 0.0186

8 0
3 years ago
Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
Goshia [24]

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

4 0
2 years ago
Rolling a Red and Yellow Dice
grandymaker [24]

Answer:

Option C 5/12 is correct option

Step-by-step explanation:

We have to find the probability that shows yellow dice has a larger value than the red dice.

Probability= total no of favorable outcomes / total no of outcomes

in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die

(1,2) (1,3) (1,4) (1,5) (1,6)

     (2,3) (2,4) (2,5) (2,6)

              (3,4) (3,5) (3,6)

                       (4,5) (4,6)

                                (5,6)

These are the possibilities where yellow die has greater value than red die.

total no of favorable outcomes = 15

total no of outcomes = 36

probability that yellow die has greater value than red die = 15 / 36

                                                                                                = 5/ 12

Option C 5/12 is correct option

3 0
3 years ago
As a motivational speaker, Bree speaks at school assemblies, charging a school
Oksi-84 [34.3K]

Answer:

<em>Bree spoke at 55 assemblies in this district.</em>

Step-by-step explanation:

Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:

C(a) = 50a+1,500

Being a the number of assemblies attending the meeting.

It's given Bree charged the Escambia City School District $4,250  to speak at school assemblies.

We can find the number of assemblies by solving the equation:

50a+1,500=4,250

Subtracting 1,500:

50a=4,250-1,500=2,750

Dividing by 50;

a = 2,750 / 50=55

Bree spoke at 55 assemblies in this district.

4 0
3 years ago
Which set of ordered pairs does not represent a function?
weqwewe [10]

Answer:

{(0,0),(0,1),(1,2),(1,3)}

Step-by-step explanation:

If this was a function it would be (0,0) ,(1,1), (2,2) ,(3,3) and so on

4 0
3 years ago
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