Answer:
Slope: -3
y- intercept: (0, 6)
Step-by-step explanation:
Answer:
A) -15
Step-by-step explanation:
The average rate of change of f(x) on interval [a, b] is given by ...
(f(b) -f(a))/(b -a)
Here, you have ...
f(x) = -2^x +70
[a, b] = [2, 6]
so the average rate of change is ...
(f(6) -f(2))/(6 -2) = ((-2^6 +70) -(-2^2 +70))/4 = (-64 +4)/4 = -16+1
average rate of change = -15
Step-by-step explanation:
x^2 -2kx +7k -12 = 0
two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0
so k =3 and k =4
Answer:
Attached please find response.
Step-by-step explanation:
We wish to find the area between the curves 2x+y2=8 and y=x.
Substituting y for x in the equation 2x+y2=8 yields
2y+y2y2+2y−8(y+4)(y−2)=8=0=0
so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields
x=4−12y2
From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.
Answer:

Step-by-step explanation:
Given
Shape: Rectangle
Division = 4 parts
Required
How much is one part of the division
Represent the rectangle with R and the parts with P
When a rectangle (R) is divided into 4 parts (P); the relationship between R and P is:


<em>This implies that the one part of the division is ¼ of the divided rectangle</em>