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mojhsa [17]
4 years ago
8

11. What is the positive solution to this equation? 4x2+ 12 x= 28

Mathematics
1 answer:
larisa [96]4 years ago
4 0

Answer:

x = sqrt(37)/2 - 3/2

approximately 1.54

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 + 12 x = 28

Divide both sides by 4:

x^2 + 3 x = 7

Add 9/4 to both sides:

x^2 + 3 x + 9/4 = 37/4

Write the left hand side as a square:

(x + 3/2)^2 = 37/4

Take the square root of both sides:

x + 3/2 = sqrt(37)/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

x = sqrt(37)/2 - 3/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

Answer: |

| x = sqrt(37)/2 - 3/2 or x = -3/2 - sqrt(37)/2

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Use the method of disk or washer to set up, but do not evaluate, an integral for a volume of the solid obtained by rotating the
Sedbober [7]

Answer:

V =  π /2   volume units

Step-by-step explanation:

Volume of    y = √x   bounded by  y = x   and y = 1

y = √x

limits of integration   ( see Annex )

By simple inspection limits of integration are   x = 0    to  x = 1

or  y = √x     and    y = x

solving these two equations

x = 0    y = 0       x = 1      y = ± 1

V = ∫ π*f(x)²*dx    

V  =  π * ∫₀¹ x*dx   =    π * x²/2 |₀¹

V =   π * (1/2) - 0

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3 0
3 years ago
The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.
garri49 [273]

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20

3 0
3 years ago
4+3[-4(-4)+1]<br>How do we evaluate this
Elena-2011 [213]
4 + 3[ - 4( - 4) + 1]
4 + 3(( - 4)(- 4) + 1)
4 + 3(16 + 1)
4 + (3)(17)
4 + 51
Answer: 55




Hope that helps!!!
7 0
3 years ago
What are the solutions to the quadratic equ ton x2 – 16 = 0?
swat32

Answer:

x=4 and x=-4

Step-by-step explanation:

you dont really have to solve this one when you multiply the answer choices they should equal your B which is -16 and only 4 • -4 = -16 so yeah thats your answer

8 0
4 years ago
9/15 + 7/15= ?<br><br><br><br><br> Pls help I’m being dumb :0
Mashutka [201]
I think the answer is 1.06666666667
7 0
3 years ago
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