Answer:
y=-2x+4
Step-by-step explanation:
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Answer:
3, -8 , 11.
Step-by-step explanation:
f(x) = (x - 3)(x + 8)(x - 11)
Finding the zeros:
(x - 3)(x + 8)(x - 11) = 0
x - 3 = 0 gives x = 3.
x + 8 = 0 gives x = -8.
x - 11 = 0 gives x = 11.
f(x+1) = 16(x+1)² - (x+1) = 16(x²+2x+1) - x - 1
= 16x² + 32x + 16 - x - 1 = 16x²+31x+15
so
f(x+1)-f(x) = 16x²+31x+15 - (16x² - x)
= 16x²+31x+15 - 16x² + x
= 32x + 15
Answer:
0.62
Step-by-step explanation:
