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2 years ago

Find the nth term for the sequence 20,18,16,14..

Mathematics

1 answer:

Anastasy [175]2 years ago

5 0

Answer:

20-2(n-1)

Step-by-step explanation:

The general term (or the nth term) of this sequence is [20-2(n-1)].

Verification:

1st term = 20-2(1-1) = 20-2(0) = 20-0 = 20

2nd term = 20-2(2-1) = 20-2(1) = 20-2 = 18

3rd term = 20-2(3-1) = 20-2(2) = 20-4 = 16

4th term = 20-2(4-1) = 20-2(3) = 20-6 = 14

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The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the mul

Black_prince [1.1K]

This is an exponential function : f ( x ) = 2 · 5 ^x
The curve goes trough the points: ( 1, 10 ), ( 2, 50 ), ( 3, 250 ).
The multiplicative rate of change:
( 50 : 10 ) / ( 2 - 1 ) = 5 / 1 = 5
( 250 : 50 ) / ( 3 - 2 ) = 5 / 1 = 5
Answer: 5

6 0

3 years ago

Determine whether the number is a solution of the given inequality.

myrzilka [38]

The answer to the question is B -2 the other 2 are not correct

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3 years ago

Someone help please! Determine the intercept of the line that passes through the following points

storchak [24]

Answer:

x: (-5.0)

y: (0, -17.5)

Step-by-step explanation:

The x-intercept of the line is when y=0. In the table is the point (-5,0). This is the x-intercept.

To find the y-intercept, find when x=0. Write an equation for the table in y=mx + b. Find the slope between two points first.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-0}{-7--5} =\frac{7}{-7+5}=-\frac{7}{2} = -3.5$

The slope is -3.5. So the equation is

y - 7 = -3.5(x--7)

y - 7 = -3.5 (x+7)

y - 7 = -3.5x - 24.5

y = 3.5x - 17.5

Since it is in y=mx+b, b= -17.5 and this is the y-intercept.

5 0

3 years ago

Is 7x=5x-25+30 no solution,one solution, or all real numbers? <br><br> Thank you!

viva [34]

One solution let's find that

$\\ \rm\hookrightarrow 7x=5x-25+30$

$\\ \rm\hookrightarrow 7x=5x+5$

$\\ \rm\hookrightarrow 2x=5$

$\\ \rm\hookrightarrow x=5/2$

6 0

2 years ago

Which choices are equivalent to the fraction below? check all that apply 16/36

kenny6666 [7]

Answer:

$\frac{16}{36} = \frac{8}{18} = \frac{4}{9}$

Step-by-step explanation:

$\frac{16}{36} = \frac{16/4.5}{36/4.5} = \frac{3.5555}{8} \neq \frac{3}{8} \\\\\frac{16}{36} = \frac{16/12}{36/12} = \frac{1.3333}{3} \neq \frac{1}{3} \\\\\frac{16}{36} = \frac{16/9}{36/9} = \frac{1.7777}{4} \neq \frac{1}{4} \\\\\frac{16}{36} = \frac{16/4}{36/4} = \frac{4}{9} \\\\\frac{16}{36} = \frac{16/7.2}{36/7.2} = \frac{2,2222}{5} \neq \frac{2}{5} \\\\\frac{16}{36} = \frac{16/2}{36/2} = \frac{8}{18} \\\\$

3 0

3 years ago