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Inga [223]
2 years ago
11

Find the equation of the exponential function represented by the table below:

Mathematics
1 answer:
Allisa [31]2 years ago
3 0

Answer:

  y = 0.1(4^x)

Step-by-step explanation:

An exponential function can be written as ...

  y = a(b^x)

where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.

The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...

  y = 0.1(4^x)

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Solve the equation 4*e+2=1 (mod5)
otez555 [7]

Here's a way to do it.

Let 4e +2 = 5n +1 . . . . . . for some integer n

Then e = (5n -1)/4 = n + (n -1)/4

We want (n-1)/4 to be an integer, so let it be integer m.

... m = (n -1)/4

... 4m = n -1

... 4m +1 = n

Substituting this into our expression for e gives

... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1

e = 5m+1 for any integer m

4 0
3 years ago
The ratio of boys to girls in a class is 4:5, what fraction of the class is boys
scoundrel [369]
Boys:girls = 4/5

boys = 4/(4+5) = 4/9 of the class
8 0
3 years ago
Read 2 more answers
Q2) What are the rules for probability distributions ? I​
olga2289 [7]

Answer:

Probability Distributions

A listing of all the values the random variable can assume with their corresponding probabilities make a probability distribution.

A note about random variables. A random variable does not mean that the values can be anything (a random number). Random variables have a well defined set of outcomes and well defined probabilities for the occurrence of each outcome. The random refers to the fact that the outcomes happen by chance -- that is, you don't know which outcome will occur next.

6 0
2 years ago
Fit a quadratic function to these three points:<br> (-2,8), (0, -4), and (4, 68)<br> Respuesta
zloy xaker [14]

Answer:

f(x) = 4x^2 + 2x - 4.

Step-by-step explanation:

Let the quadratic function be y = f(x) = ax^2 + bx + c.

For the point (-2, 8)  ( x = -2 when y = 8) we have:

a(-2)^2 + (-2)b + c = 8

4a - 2b + c = 8      For (0, -4) we have:

0 + 0 + c = -4   so c = -4.    For (4, 68) we have:

16a + 4b + c = 68  

So we have 2 systems of equations in a and b ( plugging in c = -4):

4a - 2b - 4 = 8

16a + 4b - 4 = 68

4a - 2b = 12

16a + 4b = 72    Multiplying 4a - 2b = 12 by 2 we get:

8a - 4b = 24  

Adding the last 2 equations:

24a = 96

a = 4

Now plugging a = 4 and c = -4 in the first equation:

4(4) - 2b - 4 = 8

-2b = 8 - 16 + 4 = -4

b = 2.

3 0
3 years ago
PLEASE HELP and explain! ill give brainliest if you do
EastWind [94]

Area of the rectangle

= l  \times b

= 8 \times 6

= 48 {in}^{2}

Area of the semicircles

= 2 \times ( \frac{1}{2} \pi {r}^{2} )

= \pi {r}^{2}

= \pi {3}^{2}

= 9\pi

= 9 \times 3.14

= 28.26 {in}^{2}

Area of the figure

= 48 + 28.26

= 76.26 {in}^{2}

= 76.3in²

(rounded)

6 0
2 years ago
Read 2 more answers
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