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2 years ago

What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54, respectively?

Mathematics

2 answers:

Gnom [1K]2 years ago

0 0

The common ratio is 3.

Natasha_Volkova [10]2 years ago

0 0

Answer:

Step-by-step explanation:

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Function f is a linear function with an initial value of 17 and a rate of change of –3. Some values for the linear function g ar

tia_tia [17]

Answer:

g(x) exceed f(x) by $10$ when $x=5$

Step-by-step explanation:

step 1

Find the equation of function f(x)

we know that

The initial value is the y-intercept of the linear function (value of y when the value of x is equal to zero)

$b=17$

The rate of change is equal to the slope

$m=-3$

therefore

$f(x)=-3x+17$

step 2

Find the equation of function g(x)

Let

$A(0,-8),B(2,0)$

Find the slope

$m=(0+8)/(2-0)=4$

$b=-8$ ----> point A

therefore

$g(x)=4x-8$

step 3

Find the value of f(x) and g(x) for $x=5$

$f(5)=-3(5)+17=2$

$g(5)=4(5)-8=12$

Find the difference

$g(5)-f(5)=12-2=10$

3 0

2 years ago

What is 2 divided 1 6/7 ? Please answer

Aliun [14]

If you would like to divide 2 by 1 6/7, you can do this using the following steps:

1 6/7 = 13/7

2 / 1 6/7 = 2 / 13/7 = 2/1 / 13/7 = 2/1 * 7/13 = 14/13 = 1 1/13

The correct result would be 1 1/13.

6 0

2 years ago

Find the length of the third side of the right triangle.

lara31 [8.8K]

Answer: you can use Pythagorean theorem , which formula is $a^{2} + b^{2} =c^{2}$ , "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)