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2 years ago

The first four terms of a sequence are shown below 9,5,1,-3

Mathematics

1 answer:

Debora [2.8K]2 years ago

8 0

Answer:

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

Step-by-step explanation:

Given the sequence:

9, 5, 1, -3

We can easily calculate the difference of terms:

-3- 1= 1- 5= 5-9= -4

As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)

This sequence can be defined In the form of function as:

f(1)= 9, as the first term is 9
f(n+1)= f(n)- 4, as it is decreasing function with the difference of -4
n ≥ 1, as we count from the first term on

All the above matches the first answer choice:

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

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The graph of a line has a slope of -3 and passes through the point (-6,-4).

prohojiy [21]

Answer:

(A) y+4=-3(x+6)

Step-by-step explanation:

The point-slope form of the equation of a line whose slope is m and passes through the point $(x_1, y_1)$ is: $y-y_1=m(x-x_1)$

Given the point: $(x_1, y_1)=(-6,-4)$

Slope, m=-3

$x_1=-6\\y_1=-4$

Substituting these values into: $y-y_1=m(x-x_1)$ , we obtain the point slope form of the equation:

$y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)$

The correct option is A.

6 0

3 years ago

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to

STALIN [3.7K]

Answer:

5 hours 22 minutes

Step-by-step explanation:

Let us represent the number of hours that Jeri worked as: h

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour

= $4.50 + $3 × h

= $4.50 + 3h

If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.

= 1.5 × ($4.50 + 3h)

If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?

Hence, we have the final equation;

= 1.5 × ($4.50 + 3h) = $29.25

= 6.75 + 4.5h = 29.25

Collect like terms

= 4.5h = 29.25 - 6.75

4.5h = 22.5

h = 22.5/4.5

h = 5.3571428571

Approximately= 5.36 hours

1 hour = 60 minutes

0.36 hour =

60 × 0.36

= 21.6 minutes

Approximately ≈ 22 minutes

Therefore, Jeri worked for 5 hours 22 minutes

7 0

3 years ago

Create an equivalent trinomial for 2 (3x + 5)(2x - 6)

emmainna [20.7K]

Answer:

24x^2+112x+120

Step-by-step explanation:

distribute the 2

(6x+10)(4x+12)

foil it

24x^2+112x+120

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3 years ago

PLZZZZZZZZZZZZZZZZ HELP

Slav-nsk [51]

Answer:

The first box in the girl row is 18, the second one in the boy row is 8, and the bottom one is also 18.

Step-by-step explanation:

To get 81 to 9, you have to divide by 9, which means you have to do the same to 72. You get the ration 9 to 8, 9 being girls and 8 being guys. Then to get from 8 guys to 16, you have to multiply by 2, which means you do the same to 9 and get the answer of 18 girls. Hope this helps :)

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3 years ago

Beef hope me I need you to answer the question. What is n * 54 - 688-20 =???³

blsea [12.9K]

Answer:n= 1/3d - 2/3m

Step-by-step explanation:

d=2m+3n

Step 1: Flip the equation.

2m+3n=d

Step 2: Add -2m to both sides.

2m+3n+−2m=d+−2m

3n=d−2m

Step 3: Divide both sides by 3.

3n/3 = d-2m/3

Therefore

n= 1/3d - 2/3m

Hope this helps!

Plz name brainliest if possible.

1jaiz4 and 1 more users found this answer helpful

THANKS

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(1 vote)

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Answer

maxtext75

Helping Hand

15 answers

26 people helped

Answer:

n = d - 2m

Step-by-step explanation:

First we want to get n alone on one side, so we should subtract 2m from both side;

d = 2m + 3n

3n = d - 2m

Now to get n by itself, we need to divide by 3 from both sides;

3n = d - 2m

n = d - 2m

*Pretend there is a fraction bar between d - 2m and 3

Step-by-step explanation:

7 0

2 years ago