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3 years ago

Factor. 3ab-6b^2-2bc+ac (Thank you, please explain all steps)

Mathematics

2 answers:

Norma-Jean [14]3 years ago

8 0

Answer:

(a-2b)(3b-c)

Step-by-step explanation:

3ab-6b^2-2bc+ac

Let's rearrange

3ab+ac-6b^2-2bc

Let's factorise

a(3b+c)-2b(3b+c)

(a-2b)(3b+c)

Since the answer cannot be solved further

The answer is (a-2b)(3b+c)

Vinvika [58]3 years ago

6 0

Answer:

(3b + c)(a - 2b)

Step-by-step explanation:

Given

3ab - 6b² - 2bc + ac ← Rearranging

= 3ab + ac - 6b² - 2bc (factor the first/second and third/fourth terms )

= a(3b + c) - 2b(3b + c) ← factor out (3b + c) from each term

= (3b + c)(a - 2b)

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zaharov [31]

Answer:

Step-by-step explanation:

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3 years ago

A box of ice cream bars cost 1.50 after a 25% discount what was the original price of the box of ice cream bars

ozzi

1.5/75 = 0.02
0.02 x 100 = $2

Therefore the original price was $2.

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3 years ago

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Seven hundred new chairs were delivered to a school. If each class

Natalija [7]

Answer:

24 chairs in each class needed

25 classrooms

700 chairs total

how many extra chairs

chairs will be c

t is total

t= 25×c

opposite of multiplication is division( 25 is multiplying by c) c needs to be alone

25 classrooms times chairs equal total chairs

t is 700

700=25×c

700/25=25/25c

700/25=C

c is 28

so 28 chairs for 25 classrooms

they need 24 chairs per class

so there are 4 extra chairs per class

4×25 is 100

**or just multiply 25 classes and 24 chairs

25 times 24 is 600

there are 700 chairs

100 left over

so 100 extra chairs

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3 years ago

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Which function is the inverse of Rx) = 8x + 4?

babunello [35]

Answer:

$B.~f^{-1}(x)=\frac{x-4}{8}$

Step-by-step explanation:

To find the inverse of a function, swap the places of the x and y variables and solve for y again.

$x=8y+4\\x-4=8y\\\frac{x-4}{8}=y$

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2 years ago

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4. James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They

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$ 159,744.59 will be in the account after 20 years.

Answer: Option A

<u>Step-by-step explanation:</u>

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

$\text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)$

Here

p : amount deposit monthly =$500

r : rate of interest = $\frac{2.75}{100}$ = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

$\text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)$

$\text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)$

$\text { Future value }=500 \times\left(\frac{0.732}{0.002291}\right)=500 \times 319.511=\$ 159,744.99$

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3 years ago