I think true but i could be so wrong
We evaluate f (x) between [0, 2]
We have then:
f (x) = x2 + 2x +3
f (0) = (0) 2 + 2 (0) +3 = 3
f (1) = (1) 2 + 2 (1) +3 = 6
f (2) = (2) 2 + 2 (2) +3 = 11
We observe that the function g between [0, 2] is between 4 and 7
We observe that the function h is a linear equation whose rate of change is constant and equal to three.
Answer:
from least to greatest, by the rate of change of functions over the interval [0, 2] we have:
g, h, f
First do the ones in the parentheses. So, 2x3=6. 26-6=20. 20^2=400. Now you have 27-4x400. 4x400=1600. 27-1600=-1573.
Let x be the no. of seconds it takes for the balloons to be at the same height.
7+3x = 12+2x
Deduct both sides by 2x.
7+x = 12
Deduct both sides by 7.
x = 5
Ans: It will take 5 seconds for the balloons to be at the same height.
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
