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4 years ago

What is the resulting equation when the expression for y in the second equation is substituted into the first equation?

Mathematics

1 answer:

Anni [7]4 years ago

5 0

Answer: 3x + 6 -4x = 1

Simplify to -x + 6 = 1 because 3x - 4x = -1x

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A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth sw

Kisachek [45]

Answer:

$a_{n} = 80*(0.95)^{n-1}$

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

In this question:

$a_{1} = 80, r = \frac{68.59}{72.2} = \frac{72.2}{76} = \frac{76}{80} = 0.95$

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

$a_{n} = a_{1}r^{n-1}$

$a_{n} = 80*(0.95)^{n-1}$

7 0

3 years ago

The unicorns: stardust, umo, windthorn and highflyer are enjoying themselves playing in the forest. they notice 8 spiders in the

Harrizon [31]

Answer:

Total 164 legs.

Step-by-step explanation:

The unicorns : stardust, umo, windthorn and highflyer are enjoying themselves playing in the forest.

They notice 8 spiders, one spider has 8 legs = 8 × 8 = 64 legs

there are 5 cockroaches, one cockroach has 6 legs = 5 × 6 = 30 legs

7 bees, one bee has 6 legs = 7 × 6 = 42 legs

3 deer, one deer has 4 legs = 3 × 4 = 12 legs

4 cows, one cow has 4 legs = 4 × 4 = 16 legs

Total legs of all the numbered creatures all together =

64 + 30 + 42 + 12 + 16 = 164 legs

Therefore, total legs are 164.

8 0

3 years ago

Read 2 more answers

Which relation is a function?

igor_vitrenko [27]

Q2c i think that the right one

3 0

3 years ago

The next two systems do NOT have opposite like terms

Sindrei [870]

Answer:

x = 10

y = 6

Step-by-step explanation:

Multiply second equation with -1 and then add it up with first equation

(-1)*(6x - 7y) = 18

-6x + 7y = -18

6x - 6y - 6x + 7y = 24 - 18 add like terms

y = 6 to find the value of x use this information

6x - 6y = 24 replace y with 6

6x - 6*6 = 24

6x - 36 = 24 add 36 to both sides

6x = 60 divide both sides by 6

x = 10

8 0

2 years ago

Nicole earn 40,768 per year what are her weekly gross earnings

marissa [1.9K]

40,768/52 (weeks per yr)= 784

5 0

3 years ago