All categories

4 years ago

X - (4x - 7) = 5x - (x + 21)

1 answer:

8 0

$x-(4x-7)=5x-(x+21)\ \ \ \ | omit\ the\ brackets\\\\
x-4x+7=5x-x-21\\\\
-3x+7=4x-21\ \ \ | subtract\ 4x\\\\
-7x+7=-21\ \ \ | subtract\ 7\\\\
-7x=-28\ \ \ | divide\ by\ -7\\\\
x=4$

You might be interested in

Help plsss I need the area

brilliants [131]

Answer:

Step-by-step explanation:

Divide 28 by 7 and get 4.

5 0

3 years ago

Which of the following is the complete factorization of 10x - 3 - 3x2? -(3x + 1)(x - 3) -(3x - 1)(x - 3) (3x - 1)(x + 3)

qaws [65]

Answer:

$=-\left(3x-1\right)\left(x-3\right)$

Step-by-step explanation:

$10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x$

$\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)$

5 0

4 years ago

Read 2 more answers

When you divide the number of permutations of 11 objects taken 3 at a time by 3!, you will get the number of combinations of 11

Sloan [31]

Answer:

Yes

Step-by-step explanation:

Permutation :

nPr = n! ÷ (n - r)!

nCr = n! ÷ (n-r)!r!

11 objects taken 3 at a time :

11P3 = 11! ÷ (11 - 3)!

11P3 = 11! / 8!

11P3 = (11 * 10 * 9 )

11P3 = 990

Dividing by 3!

3! = 3*2*1 = 6

= 990 / 6

= 165

For combination :

11C3 = 11! ÷ 8!3!

11C3 = (11 * 10 * 9) / (3 * 2 * 1)

11C3 = 990 / 6

11C3

4 0

3 years ago

5. Complete the following equation using < >, or =<br> 7___24/4

Zepler [3.9K]

Answer:

7 > 24/4

Step-by-step explanation:

7 __ 24/4

simplify

7 __ 6

7 > 6

3 0

3 years ago

Read 2 more answers

If 20 is 20% of 20% of an integer what is that integer

Ludmilka [50]

N(20/100)(20/100)=20

400n/10000=20

400n=200000

n=500

6 0

3 years ago

Read 2 more answers