Answer:
the length of the longer piece of cable is 24 ft
Step-by-step explanation:
shor piece = s
Long piesce = s+9
s + s+9= 39
2s = 30
s = 15
short = 15
15 +9 = 24
long = 24
15+24 = 39
Answer:
Answers:
Rate of change = -5
Initial value = 25
Step-by-step explanation:
Each time x increases by 2 (eg from x = 1 to x = 3), the value of y drops by 10 (eg from y = 20 to y = 10)
Therefore the slope is...
slope = rise/run = (change in y)/(change in x) = -10/2 = -5
slope = -5
So each time x increases by 1, y will decrease by 5
Flip things around: each time x decreases by 1, y will increase by 5
So the pair (x,y) = (1,20) shown in row 1 of the table leads to (0,25) based on the rule above. Another way to see this is to plug m = -5, x = 1 and y = 20 into y = mx+b and solve for b to get b = 25
Answer:
D 6
Step-by-step explanation:
note that (f ○ g)(x) = f(g(x))
To evaluate f(g(x)) substitute x = g(x) into f(x)
f(g(x)) = f(4x³ + 1)
= 3(4x³ + 1)²
= 3(16
+ 8x³ + 1)
= 48
+ 24x³ + 3 ← polynomial of degree 6
The degree of a polynomial is the value of the largest exponent, that is 6
Answer:
6
Step-by-step explanation: