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ANEK [815]
3 years ago
6

It is known that 4 i need help asap

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:with?

Step-by-step explanation:

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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
Write a linear function whose slope is -4 and y-intercept is -5. Explain what these values mean in the equation.
beks73 [17]

Answer:

y = -4x - 5

Step-by-step explanation:

The line starts at -5 on the graph and decreases by a rate of 4

8 0
3 years ago
In Mr. Henry’s math classroom, there are 15 girls and a total of 26 students.Write the ratio of boys to girls in the form a:b. S
Alex

Answer:

well if theres 26 in all and 15 girls then there is 11 boys so the answer is

11:15

brainliest please

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A sales clerk wants to predict the shoe sizes that will be sold this weekend for a new shoe that is going on sale. She uses her
Alenkinab [10]

Answer:

6/15=0.400

Step-by-step explanation:

Count all of the shoe sizes that are less than 7.5. (6) And then divide that number by 15 (the number of customers)

5 0
3 years ago
Diana bought a package of water balloons for $0.30. Her friend bought 5 times as many packages. How much did her friend spend?
NISA [10]
$1.50 because you have to multiply $0.30 times the 5 and you get $1.50.
4 0
3 years ago
Read 2 more answers
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