Answer:
17. a) (4x - 8)(6x+ 7); b) 20x - 2
18. a) (2x² + 3x - 5)(2x + 3); b) 4x² + 10x - 4
Step-by-step explanation:
Question 17
a) Area
Area = length × width
A = (4x - 8)(6x+ 7)
b) Perimeter
Perimeter = 2 (length + width)
P = 2(4x - 8 + 6x + 7) = 2(10x - 1) = 20x - 2
Question 18
a) Area
A = (2x² + 3x - 5)(2x + 3)
b) Perimeter
P = 2(2x² + 3x - 5 + 2x + 3) = 2(2x² + 5x - 2) = 4x² + 10x - 4
-3s-5=4 First add 5 to both sides of the equal sign to cancel out -5
+5 +5 You're left with -3s=9
-3s=9 Divide by -3 on both sides. This cancels out the -3s. 9 divided by -3 equals -3. The answer would be s=-3
Answer:
Quiz - Quizizz
Q. In an exponential function, what does the 'a' represent? ... Q. What is a, the starting term, for the function: f(x) = 800(0.85)x? ... In the equation y=2(5)x , the a value (y-intercept) is.
Missing: r | Must include: r
y = 9ln(x)
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2
curvature k = |y''| / (1 + (y')^2)^(3/2)
<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2)
= (9/x^2) / (1 + 81/x^2)^(3/2)
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)]
= 9x(x^2 + 81)^(-3/2).
To maximize the curvature, </span>
we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2)
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2]
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2)
Setting k' = 0 yields x = ±9/√2.
Since k' < 0 for x < -9/√2 and k' > 0 for x >
-9/√2 (and less than 9/√2),
we have a minimum at x = -9/√2.
Since k' > 0 for x < 9/√2 (and greater than 9/√2) and
k' < 0 for x > 9/√2,
we have a maximum at x = 9/√2. </span>
x=9/√2=6.36
<span>y=9 ln(x)=9ln(6.36)=16.66</span>
the
answer is
(x,y)=(6.36,16.66)
Answer:
4 cu. units
Step-by-step explanation:
1/3x2x2x3=4 cu. units
