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3 years ago

What is the common ratio of this one?

Mathematics

1 answer:

Furkat [3]3 years ago

4 0

Answer:

1/4

Step-by-step explanation:

The common ratio in a geometric sequence is the number you multiply to previous term to get the term after.

Dividing by a number is the same as multiplying by that 1/number.

So the common ratio here is 1/4.

This is a geometric sequence since you are able to find all the terms in this sequence by multiplying 1/4 to it's previous term.

Examples:

160(1/4)=40

40(1/4)=10

10(1/4)=10/4=2.5

2.5(1/4)=2.5/4=0.625.

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Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2}-19x-1=0$

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

Y= (x-9) (x+3)

juin [17]

Answer:

y = x² − 6x − 27

Step-by-step explanation:

To distribute, you can use something called FOIL. It stands for First, Outer, Inner, Last.

First, multiply the First term in each factor.

x · x = x²

Now multiply the Outer terms in each factor.

x · 3 = 3x

Next multiply the Inner terms in each factor.

-9 · x = -9x

Finally, multiply the Last terms in each factor.

-9 · 3 = -27

Add them all up:

x² + 3x − 9x − 27

x² − 6x − 27

4 0

3 years ago

Need help please any body

mash [69]

She should by the one that is written as 375/1000 inches because if Trudy needs a nail that measures 0.375 she should get that one and also .375 and 375/1000 is really the same thing. hope it helps

4 0

3 years ago

Katrina earns $12.25 per hour plus a 21% commission on any sales she makes. In one day, she worked for 11 hours, and she made $4

Effectus [21]

Answer:

Step-by-step explanation:

12.25 times 11 is 134.75

488 times 0.21 is 102.48

134.75 plus 102.48 equals 237.23

237.23 is closest to 232 which is B.

6 0

3 years ago

A car made a trip of 352 miles on 16.8 gallons of gasoline. Which is closest to the number of miles per gallon the car got on th

SVEN [57.7K]

Answer: divide both numbers

Step-by-step explanation:

20.95

3 0

3 years ago