Answer:
<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>
Step-by-step explanation:
Using the formula of derivative, it can be easily shown that, 
where 
.
Here we need to show that as per the instructions in the given table.
Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = 
.
In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.
Hence, dividing Δy by Δx, we get, 
.
Let's examine this taking a smaller value.
If we take Δx = 0.001, then Δy = 
.
Thus, 
.
The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.
Answer:
38.4
Step-by-step explanation:
48*20%=9.6 48-9.6=38.4
Answer:
Step-by-step explanation:
4(2x+12)=0 work the () first
8x+48=0 subtract 48 to both sides to get the x by itself
8x=-48 divide by 8
x= -6
Answer:
b = 40 and -40
Step-by-step explanation:
General form of Perfect square trinomial is a 2 + 2 a b + b 2
Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40
The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .
if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40
The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .
The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .
Length=2x
width=x
Perimeter of a rectangle=2(length) + 2(width)
We can suggest this equation:
24=2(2x)+2x
24=4x+2x
24=6x
x=24/6
x=4
length=2x=2(4)=8
width=x=4
area of a rectangle=length x width
area of this poster (rectangle)=(8 in)( 4 in)=32 in².
The area of this poster will be: 32 in²
