3 years ago

Three times a number, minus 5, is equal to two times the number, plus 9 find the number

Mathematics

2 answers:

STatiana [176]3 years ago

4 0

3x-5=2x+9 Solve for x

Mamont248 [21]3 years ago

4 0

14 is the answer.
3x-5=2x+9.

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The explicit rule for a sequence is an=5(−2)^n−1

Murrr4er [49]

Answer:

3) $a_n=-2a_{n-1}$ , $a_1=5$

Step-by-step explanation:

Given that the explicit rule for a sequence is $a_n=5(-2)^{n-1}$ .

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) $a_n=-2a_{n+1}$ , $a_1=5$

2) $a_n=-5a_{n+1}$ , $a_1=2$

3) $a_n=-2a_{n-1}$ , $a_1=5$

4) $a_n=-5a_{n-1}$ , $a_1=2$

Plug n=1 into given formula to get first term

$a_n=5(-2)^{n-1}$

$a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5$

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) $a_n=-2a_{n-1}$ , $a_1=5$

7 0

3 years ago

The rabbit population in a certain area is 200% of last year's population. There are 900 rabbits this year. How many were ther

Nezavi [6.7K]

There would be 450 rabbits last year.

Since 900 is double 450, 200% of 450 is 900. (450 would be 100%, so you would double it).

3 0

3 years ago

Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)

seraphim [82]

Answer:

(1/2), (3/2)

Step-by-step explanation:

midpoint fomula

(x1+x2)/ 2, (y1+y2)/2

(5-4)= 1 1/2 = (1/2)

(-1+4)=3 3/2=(3/2)

3 0

3 years ago

Read 2 more answers

Plz plz help I will get you points :---/

ladessa [460]

I would think it would be B

5 0

3 years ago

Read 2 more answers

A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack?

Nutka1998 [239]

Answer:

Step-by-step explanation:

12 divided by 1/2 = 24

Hope this helped! :)

7 0

2 years ago