Infinity because it's a cubic function with no restricted range or domain
Average rate of change: r=[f(b)-f(a)]/(b-a)
r=-60→[f(b)-f(a)]/(b-a)=-60
b=5; f(b)=-213; a=1; f(a)=27
(-213-27)/(5-1)=(-240)/4=-60
Answer: The <span>two points in the table which create an interval with an average rate of change of -60 are:
x f(x)
1 27
5 -213</span>
DE + EF = 4x+2
DE = x+7
EF = 7
Substitute these in
x + 7 + 7 = 4x + 2
x + 14 = 4x + 2
subtract x from both sides
14 = 3x + 2
subtract 2 from both sides
3x = 12
divide both sides by 3
x = 4
substitute this in to find the length of DE
DE = x + 7
(4) + 7 = 11
the answer is 11
Answer:
- 8
units
Step-by-step explanation:
<u>We know that:</u>
<u>We can find one side by distance formula:</u>
- a =

- a =

<u>Then the perimeter is:</u>
- P = 4*2
= 8
units
Answer:
a) linear
b) nonlinear
c) nonlinear
d) nonlinear
Step-by-step explanation:
For a linear equation the highest degree is 1. If the degree is more than 1, then it is a non-linear equation.
a) 7x=y-4 is a linear equation because the highest degree is one
b)

is not a linear equation because when we multiply through by x, we get

The degree is 2
c) 6xy +3x=2 is non linear because the degree is 2.
d) x=2y³ +y is non-linear be because the degree is 3.