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hoa [83]
3 years ago
14

G(x)=\dfrac{x+6}{2}g(x)=

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

Answer:

  all real numbers

Step-by-step explanation:

The fraction simplifies to the polynomial ...

  g(x) = (1/2)x +3

Every polynomial has a domain of "all real numbers."

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The gradient of the curve is given by the equation and a point on the curve is also given. Find the equation of the curve with w
IgorC [24]

Answer:

4 x^(3/2)         + 5x -32

Step-by-step explanation:

This problem involves definite integration (anti-derivatives).

If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.

                                        (1/2) + 1

This integrates to y = 6x                        

                                   ----------------                      

                                      (1/2) + 1             x^(3/2)

                                                      =  6 ------------ + C

                                                                 3/2

             

or:        4 x^(3/2) + C

and the ∫5dx term integrates to 5x + C.

The overall integral is:  

4 x^(3/2) + C + 5x + C. better expressed with just one C:

4 x^(3/2)         + 5x + C

We are told that the curve represented by  this function goes thru (4, 20).

This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:

20 = 4 · 4^(3/2)         + 5·4 + C, or:

20  =  4  (8)           + 20 + C

Then 0 = 32 + C, and so C = -32.

The equation of the curve is thus   4 x^(3/2)         + 5x -32

                   

           

                                      (1/2 + 1)

7 0
3 years ago
Mateo jogs for 3 3/4 miles on Saturday and 4 2/5 miles on Sunday. What is the total distance, in miles, that Mateo jogged in the
vesna_86 [32]

Answer:

Mateo jogged 8 3/20 miles in the past 2 days.

Step-by-step explanation:

Given:-

Distance on Saturday = 3 3/4

Distance on Sunday = 4 2/5

Total distance = 3 3/4 + 4 2/5

                       = 15/4 + 22/5

                       = LCM of deniminators (20)

                       = 75/20 + 88/20

                       = (75 + 88)/20

                      =  163/20

                      = 8 3/20

6 0
3 years ago
Read 2 more answers
Nate’s work to solve a math problem is shown below.
Ray Of Light [21]

Answer:

Answer (C) ⇒ He replaced the wrong term with its reciprocal in step 2

Answer (A) ⇒ How many 3/8 's in 48

Step-by-step explanation:

∵ The distance = 25 miles

∵ The time = 2/3 hour

∵ Average speed = distance ÷ time

∴ Average speed = 25 ÷ 2/3 ⇒ step 1 (he is √)

                              = 25 × 3/2 ⇒ step 2 (his 1st error 1/25 × 2/3)

                              = 75/2 miles/h

∵ How many 3/8 's are in 48 means:

  48 ÷ 3/8 = 48 × 8/3 = 128

∴ Answer (A) is best modeled with a division expression

5 0
4 years ago
Read 2 more answers
Hi does anyone know this if you do pls answer this thank you!
True [87]

Answer:

B.

Step-by-step explanation:

5 0
3 years ago
What is the answer to 6n=3/4
Airida [17]
I hope this helps you

3 0
3 years ago
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