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AlexFokin [52]
3 years ago
7

(-2 1/3 to the third power) divided by (1 7/8)

Mathematics
2 answers:
Brums [2.3K]3 years ago
6 0

Answer:

-6 314/405

Step-by-step explanation:

( -2 1/3)^3 / (1 7/8)

I am going to change the mixed numbers to improper fractions

2 1/3 = (3*2 +1)/3 = 7/3

1 7/8 = (8*1+7)/8 = 15/8

( -7/3)^3 / (15/8)

I will use copy dot flip

( -7/3)^3 * (8/15)

Now I can split the first term into parts (a/b)^x = a^x/ b^x

(-7)^3/ 3^3 *8/15

-343/27 * 8/15

-2744/405

Now we need to change it back to a mixed number

405 goes into 2744  6 times

6*405 =2430  2744-2430 = 314  

-6 314/405

yuradex [85]3 years ago
4 0

Answer:

-2744/405

Step-by-step explanation:


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For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
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The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a)  (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b)  (f – g)(x) = 3x+8 -8x+3 = -5x +11

(c) (f × g)(x) = (3x+8)(8x-3) = 24x²-9x+64x -24 = 24x² +55x-24

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h)  (f/g)(27) = (3x+8)/(8x-3)  = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

brainly.com/question/12431044

#SPJ1

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