All categories

3 years ago

Given: 3x+7+2(4x+1) = 3(x-1) -4 prove: x=-2

Mathematics

1 answer:

denis23 [38]3 years ago

7 0

Answer:

x = -2, proven below.

Step-by-step explanation:

3x + 7 + 2(4x+1) = 3(x-1) - 4

3x + 7 + 8x + 2 = 3x - 3 - 4

9 + 11x = 3x - 7

16 + 11x = 3x

16 = - 8x

-2 = x

You might be interested in

The solid below is made from cubes.<br> Find its volume.

natali 33 [55]

Answer:

I believe its 30 yards

Step-by-step explanation:

volume = 3×5×2 = 30

6 0

2 years ago

Read 2 more answers

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

Mr. rodriquez was on the telephone for 182 minutes. She called 7 friends to invite them to a luncheon. If she spoke to each frie

vitfil [10]

He spoke to each friends for 26 minutes

How I found out : how I found out is that all you have to do it get the total amount which in this question it is going to be 182. And you would need to dive 182 by 7 to find the unit rate (182/7) which is going to equal 26.which means he called each friend for 26 minutes

5 0

3 years ago

Read 2 more answers

1.)300.8 m to yards<br> 2.)80 yards to mm<br> 3.)15 kg/L<br> 4.)40cm/sec to mph

Lapatulllka [165]

1.)3.&

2.)8mm

3.)5

4.)400

5 0

3 years ago

A van travels 125 miles on 5 gallons of gas. Find the distance the van can travel if the fuel tank contains 12 gallons of gas???

kobusy [5.1K]

Answer:

300 miles

Step-by-step explanation:

125/5 = 25 mpg

12 x 25 = 300 miles

8 0

2 years ago