Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8
Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=
Differentiate w.r.t x
Again differentiate w.r.t x
Substitute x=6
Substitute x=5/3
Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
Answer:
a.) d,c and a,b
Step-by-step explanation:
hope it helped
Answer:
It will take 5 weeks for you and your friend to have the same balance
Step-by-step explanation:
Let
Your savings expression be
135 + 12x
Your friends savings expression
95 + 20x
Where,
x = number of weeks for you and your friend to have the same balance
Equate the two expressions
135 + 12x = 95 + 20x
Collect like terms
135 - 95 = 20x - 12x
40 = 8x
Divide both sides by 8
40/8 = x
x = 40/8
= 5
x= 5 weeks
Check
Your savings expression
135 + 12x
135 + 12(5)
=135 + 60
= $195
Your friends savings expression
95 + 20x
95 + 20(5)
= 95 + 100
= $195
Therefore, It will take 5 weeks for you and your friend to have the same balance
Answer:
16
Step-by-step explanation:
2 dozen= 24
24/3 = 8
8×2=16
