All categories

3 years ago

Solve the equation and justify each step: 4(x+1)-2x = -6(x-1) + 14

Mathematics

1 answer:

seropon [69]3 years ago

4 0

Answer:

Step-by-step explanation:

$4(x + 1) - 2x = - 6(x - 1) + 14 \\ 4x + 4 - 2x = - 6x + 6 + 14 \\ 2x + 4 = - 6x + 20 \\ 2x + 6x = 20 - 4 \\ 8x = 16 \\ x = \frac{16}{8} \\ x = 2 \\$

You might be interested in

If A * B is defined as (A + B)/AB, compute (2 * 6) * (3 * 4)

Bad White [126]

Answer:

144

Step-by-step explanation:

(2*6)*(3*4)=12*12=144

7 0

3 years ago

Read 2 more answers

I can evaluate expressions if J=3 K=6 M=12 jk+4M divided by 2

kkurt [141]

First plug in the numbers: 3x6+4x12/2. then do the Pemdas, so multiplication first: 18+42/2. then since the division is like a fraction bar, it means to divide but first simplify the 18+42: 60/2. Your answer is 30.

5 0

3 years ago

Does anyone know how to do this

bezimeni [28]

You can turn 5 into 10/2 and add to x/2
then you need to use simple algebra to left the x alone in the equation so you need to multiply both sides by 2 so you get
2y=10+x
then you need to subtract both sides a 10 so
2y-10=x
now change the x to f'(x) and y to x so:
f'(x)=2x-10

7 0

2 years ago

Find x in the following triangle pls solve it fast!! Correct answer will get brainliest!!!!

neonofarm [45]

Answer:

c=26

Step-by-step explanation:

So you would use the formula a^2+b^2=c^2

10^2+24^2=c^2

100+576=c^2

C^2=676

c=26

4 0

4 years ago

The Lacrosse booster club is holding a raffle for a fundraiser. They will sell 100 tickets for $5 each and select 4 winners. All

Nadusha1986 [10]

Answer:

<h2>There are 3,921,225 ways to select the winners.</h2>

Step-by-step explanation:

This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.

Combinations without repetitions are defined as

$C_{n}^{r} =\frac{n!}{r!(n-r)!}$

Where $n=100$ and $r=4$ .

Replacing values, we have

$C_{100}^{4} =\frac{100!}{4!(100-4)!}=\frac{100!}{4! 96!}=\frac{100 \times 99 \times 98 \times 97 \times 96!}{4! \times 96!}= \frac{94,109,400}{24}= 3,921,225$

Therefore, there are 3,921,225 ways to select the winners.

Additionally, as you can imagine, the probability of winning is extremely low, it would be 3,921,225 to 1.

3 0

3 years ago