$a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6$

8 0

3 years ago

I need algebra help.....

Lubov Fominskaja [6]

Answer:

$y=4(3)^x$

Step-by-step explanation:

From the table given in the question,

x y Difference Ratio

1 12 - -

2 36 36-12 = 24 $\frac{36}{12}=3$

3 108 108-36 = 72 $\frac{108}{36}=3$

4 324 324-108 = 216 $\frac{324}{108}=3$

5 972 972-324 = 648 $\frac{648}{216}=3$

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

$y=a(b)^x$

For a point $(1, 12),$

$12=a(b)^1$

$ab=12$ ------(1)

For another point of the table $(2,36)$ ,

$36=a(b)^2$

$ab^2=36$ --------(2)

Equation (2) divided by equation (1)

$\frac{ab^2}{ab}=\frac{36}{12}$

$b=3$

From equation (1),

$3a=12$

$a=4$

Therefore, exponential function will be,

$y=4(3)^x$

7 0

3 years ago

Mrs.Hernandez told her class that 95% of the students in the class passed the math test if there are 20 students in the class ho

disa [49]

Answer:

19 people passed

Step-by-step explanation:

19 people passed the test

6 0

3 years ago

In the triangle abc the side length side are bc=14 and ac=7 whats b

olga2289 [7]

hope this helps you mate

8 0

3 years ago