Let's do this step by step:
Our objective is to find out x.

First, we have to take the '-3' to the right side, and put it next to the 11. When we do this its operation reverses, so it becomes 11 + 3, which is 14.
So we have 9x > 2x + 14.
Then we do the same to the numbers with X, but this time we take the number from the right side to the left. So 2x to the left (reversed) becomes 9x-2x which is 7x.
So 7x > 14
Now let's simplify, 14/7 = 2
so x = 2

6 0

3 years ago

Read 2 more answers

Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per house pulling weeds. In Septembe

marshall27 [118]

Answer:

The total money made by Grace is $477.

Step-by-step explanation:

Given:

Charge per hour for mowing lawn = $6

Charge per hour for pulling weeds = $11

Number of hours for which lawns are mowed = 63 hours

Number of hours for which weeds are pulled = 9 hours

Now, total money made by Grace in September can be calculated by adding the total money gained in mowing lawns and pulling weeds.

Total money gained in mowing lawns is given as:

$C_m=\textrm{Number of hours of mowing}\times\textrm{Charge per hour}\\\\C_m=63\times 6=\$378$

Total money gained in pulling weeds is given as:

$C_w=\textrm{Number of hours of pulling weeds}\times\textrm{Charge per hour}\\\\C_w=9\times 11=\$99$

Now, total money made = $C_m+C_w=378+99=\$477$

Therefore, the total money made by Grace is $477.

7 0

3 years ago

What is the only solution of 2x2 + 8x = x2 – 16?

NeX [460]

Answer:

–4

Step-by-step explanation:

observe

2x² + 8x = x² – 16

x² + 8x + 16 = 0

(x+4)² = 0

x + 4 = 0

x = –4

3 0

3 years ago