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Arte-miy333 [17]
3 years ago
10

Which of the following expressions are equivalent to 4x-6+8x+2

Mathematics
2 answers:
Len [333]3 years ago
8 0

Answer:

A) 12x - 4  and  B)  4(3x - 1)

Step-by-step explanation:

You have to combine like terms to solve this problem.   Any terms with the same variable are like terms, and all constants are like terms.

  4x - 6 + 8x  + 2          

   

          Here, 4x and 8x are like terms, so are -6 and 2, so we group them together

   4x + 8x - 6 + 2

Now simplify

     12x - 4             (4x + 8x = 12x, there are 4 'x's and you add 8 more 'x's,

                               you have -6 and add 2 to it).  This is answer A

Each of these terms has a multiple of 4, so we can factor that term out to get answer B

 4(3x - 1)             (12x/4 = 3x, and -4/4 = 1)  

exis [7]3 years ago
7 0

Answer:

A) 12x-4

and B) 4(3x-1)

Step-by-step explanation:

4x-6+8x+2

Rearrange the question

4x+8x-6+2

12x-4

B because when you simplify the equation 4(3x-1) = 12x-4

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Alika [10]

Answer:

Can you give me the choices for each of these, I'm not sure how they might phrase it.

3 0
2 years ago
A camera has a listed price of $522.98 before tax. If the sales tax rate is 8.25%, find the total cost of the camera with sales
svetoff [14.1K]

Answer:

4,314.6

Step-by-step explanation:

522.98 multiplied by 8.25 is 4,314.585 which rounded to the nearest cent is 4,314.6

7 0
3 years ago
Standard deviation of 300, 785, 670, 187, 760, 724
White raven [17]
STEP 1

Mean = \frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571

STEP 2

Subtract the mean from each data value then square the answer
300-571=-271 ⇒ (-271)^{2} =73441
785-571=214 ⇒ (214)^{2}=45796
670-571=99 ⇒ (99)^{2}=9801
187-571=-384 ⇒ (-384)^{2} =147456
760-571=189 ⇒ 189^{2}=35721
724-571=153 ⇒ 153^{2} =23409

STEP 3

Add the squared answers in STEP 2 then find the mean

\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3

STEP 4

Square root the answer in STEP 3
\sqrt{55937.3} =236.5

Standard deviation is 236.5
 
7 0
3 years ago
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the
Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

f(x)= 4(4)^x

3 times a year

so x becomes 3x

f(x)= 4(1+r)^{3x}

4(4)^x=4(1+r)^{3x}

Take log on both sides

log(4)^x=log(1+r)^{3x}

log(4)^x=log(1+r)^{3x}

Use log property and move exponent before log

xlog(4)=3xlog(1+r)}

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

f(x)= 4(1+r)^{3x}

so equation becomes

f(x)= 4(1.59)^{3x}

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C



5 0
3 years ago
Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply. The domain is all real numbers
Elodia [21]

Answer:

a and c

Step-by-step explanation:

5 0
3 years ago
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