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charle [14.2K]
3 years ago
15

Algebra 1A unit 4 lesson 2 Answers please help ?!!

Mathematics
1 answer:
morpeh [17]3 years ago
8 0
What is it you need to know? I'll be happy to help
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Divide 6 feet 6 inches by 5
tigry1 [53]
6 ft 6 in....
1 ft = 12 inches, so 6 ft = (12 * 6) = 72 inches...+ the other 6 inches = 78 inches

78 / 5 = 15.6 inches


5 0
3 years ago
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
Is 3x-2&gt;1 a strict inequality
Paul [167]

Answer:

Inequalities involving the symbol '>' or '<' are called strict inequalities.

Step-by-step explanation:

Hope this helped!

7 0
3 years ago
Which chart would represent the function f(x)=-2x+6?
OLga [1]
The graph that best represents the function in this case, will be given by evaluating x in the function sometimes to build the number of points needed to describe the straight line. In this case, the graphic is shown in the attached file
 x= <span> 0 <span>1 2 3 4 5 6 7 8 9 <span> 10
</span></span></span><span><span> F(x)= 6 4 </span> 2 0 -2 -4 -6 -8 -10 -12 -14
</span><span>zero is at x = 3!!!</span>

6 0
3 years ago
Natalies BMW car has an average diesel consumption of 5.9L per 100 km. how farncan she drive on a full tank of 70L
Mrac [35]
Gett 70ml to 50l per of
3 0
3 years ago
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