Melissa wrote an expression equivalent to the one shown. 4x + 8x + 7 + 4.which could be the expression Larisa wrote?

A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?

aleksley [76]

Answer:

The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

An= 14n-31

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

Therfore, the 14th term is 165.

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

solution

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

The first term is given by G1=600

Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

Therefore, the 3rd term is given by G3= 384.

I have made some Corrections i messed up somewhere.

7 0

3 years ago

30 points!

slamgirl [31]

Answer:

Hello, Your answer is 1.02$

Step-by-step explanation:

First of all, let's calculate the total amount payed by Veena for her meal: t =9.25$ + 4.35$ =13.6$ The tax was 7.5%, which corresponds to a fraction of 7.5% =7.5/100 therefore, the amount of tax payed by Veena for her meal is tax = 7.5/100 . t = 7.5/100 (13.6$) =1.02$ Hope This Helps!

8 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Goryan [66]

no solution, since the graph two parallel lines with no intersect

3 0

3 years ago

Read 2 more answers

Solve the following: a) 2(5x – 3) = 24 b) 5(2x + 1) = 50

likoan [24]

Answer:

x = 3 and x = $\frac{9}{2}$

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = $\frac{9}{2}$

3 0

2 years ago

PLEASE HELP QUICK!!! A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some

Mekhanik [1.2K]

Answer: 3 kids take 3 pieces of candy each

Step-by-step explanation:

Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)

Number of children that took 5 pieces is y ( total take 5*y pieces of candy)

1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.

( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy. So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )

So we have 2 equations or the system of 2 equations:

1). x+y=18

2). 3*x +5*y=84

Multuply both sides of equation 1) by 3

We have 3*x+3*y=18*3

Deduct 3*y from both sides of this equation

3*x+3*y-3*y=54-3*y

3*x=54-3*y

Substitute 3*x in equation 2). by 54-3*y

2) 54-3*y+5*y=84

2*y=30

y=15 ( kids take 5 pieces of candy each)

Using equation 1) find x

x+15=18

x=3 (kids take 3 pieces of candy each)

5 0

3 years ago