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3 years ago

Solve the following inequality

Mathematics

1 answer:

Burka [1]3 years ago

7 0

First we must get rid of the -3 in the denominator
to do this you need to multiply both sides by -3

2x - 1 < -5
now add 1 to both sides

2x < -4

finally, divide both sides by 2

x < -2

i hope this helps !!

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2 years ago

Find the midpoint of the line using the midpoint formula. Midpoint of AB:______

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Answer: MP=(1,1)

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2 years ago

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2 years ago

In parallelogram WXYZ, what is CY? 11 ft 15 ft 21 ft 23 ft

erastovalidia [21]

Answer:

15 ft

Step-by-step explanation:

In a parallelogram the diagonals bisects each other

So WC= CY

$x+4=2x-7$ solve the equation for x

Subtract x from both sides

$x-x+4=2x-x-7$

$4=x-7$

Now we add 7 on both sides

$4+7=x-7+7$

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6 0

3 years ago

Read 2 more answers

onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti

Sholpan [36]

Answer:

V (max) = 2 ft³

and x side of the base is x = 0,5 feet

Step-by-step explanation: See annex ( two different cubes)

We have a square piece of cardboard of 3 inches wide

Let x be lenght of side to cut in each corner

Then the base of the (future cube) is 3 - 2x, and the area is

( 3 - 2x )²

And the height is x Then volume of the cube as a function of x is:

V(x) = ( 3 - 2x )² *x or V(x) = ( 9 + 4x² - 12x )*x

V(x) = 4x³ - 12x² + 9x

Taking derivatives on both sides of the equation

V´(x) = 12x² - 24x + 9

V´(x) = 0 12x² - 24x + 9 = 0 simplifying 4x² - 8x + 3 = 0

Second degree equation solving for x

x₁,₂ = [ 24 ± √( 576) - 432 /24

x₁,₂ = [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24 x₁ = 1.5 feet x₂ = 0,5 feet

Of these two values we have to dismiss x₁ because if x = 1.5 we don´t have a cube ( 0 height )

Then we take x = 0,5 feet

And

V (max) = (2)²*0,5 = 4*0,5

V (max) = 2 ft³

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3 years ago