If 3m+2n=16 and m−2n=0, then what is the value of m?

Mathematics

1 answer:

umka21 [38]3 years ago

7 0

Answer:

m= 4

Step-by-step explanation:

3m +2n= 16 -----(1)

m -2n= 0 -----(2)

From (2):

m= 2n -----(3) (+2n on both sides)

subst. (3) into (1):

3(2n) +2n= 16

6n +2n= 16

8n= 16 (simplify)

n= 16 ÷8

n= 2

subst. n=2 into (3):

m= 2(2)

m= 4

You might be interested in

When h has the value of 4, calculate <br> 4h+9

Artemon [7]

4h+9
We can plug 4 into h to result in this expression:
4*4+9
16+9=
25

8 0

2 years ago

Read 2 more answers

The Super Bounce brand of bouncy balls rebounds to 85% of the height from which it was dropped. Write both the explicit and recu

jarptica [38.1K]

Answer:

Explicit formula is $h(n)=4(0.85)^{n-1}$ .

Recursive formula is $h_n=0.85h_{n-1}$

Step-by-step explanation:

Step 1

In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula , $a_{n+1}=ar^{n-1}.$ In this case the first term $a_o=4$ , the common ratio $r=0.85$ since the ball bounces back to 0.85 of it's previous height.

We can write the explicit formula as,

$h(n)=4(0.85)^{n-1}.$

Step 2

In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is $a_n=a_{n-1}\times r.$