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AURORKA [14]
3 years ago
13

Homework help, no need to explain answer

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

Square each side

Subtract 1  from each side

Divide by 3

Step-by-step explanation:

sqrt(3x+1) = 4

Square each side

(sqrt(3x+1))^2 = 4^2

3x+1 = 16

Subtract 1  from each side

3x+1-1 = 16-1

3x= 15

Divide by 3

3x/3 = 15/3

x = 5

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15 times x = 810.75<br><br> Best answer gets most brainliest!
ratelena [41]
To get the value of x, you have to divide 810.75 by 15. You should get x=54.04
6 0
3 years ago
Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0
3 years ago
Mr. McGee mowed 4/5 of his lawn. His three sons finished the mowing. Each son mowed the same amount. How much of the lawn did ea
liubo4ka [24]

Answer:

1 fifteenth, or 1/15

Step-by-step explanation:

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3 years ago
Solve the system of equations. (3x + 4y = 5) (2x - 3y = -8)
vovikov84 [41]

Answer:

the solution is (-1, 2)

Step-by-step explanation:

Let's solve the system

(3x + 4y = 5)

(2x - 3y = -8)

using the method of elimination by addition and subtraction.  Notice that if we multiply all terms of the first equation by 3 and all terms of the second by 4, y as a variable will temporarily disappear:

  9x + 12y = 15

  8x - 12y  = -32

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

 17x       = - 17, so x = -1.  

Replacing x in the second equation by -1, we get:

2(-1) - 3y = -8, or

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2 years ago
How many capsules will make out of 1 kilo
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How many capsules will make out of 1 kilo

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