Answer:
Step-by-step explanation:
solution is (4,3)
OR
x=4
y=3
this point lies in both the tables.
we have to find a pair which lies on both.
Answer:
Step-by-step explanation:
apply the indices law
- multiple means addition
- division means subtraction
- you are suppose to add the powers or subtract where necessary
- 4^9x 4^3= 4^5
- 6^5x6^2=6^7
- 8^6÷8=8^5
- 7^8÷7^6=7^2
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The first two x-values, -4 and 0, fall in the first part of the function definition.
There is no function definition for x = 4, as the second part only applies for x > 4.
The last x-value, 8, falls in the second part of the function definition.
The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...
h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2
h(0) = 6
h(4) = undefined
h(8) = -8/3
Answer:
3,6,-2
Step-by-step explanation:
a+2a+b = 7
2a^2b = -36
a*2a + ab + 2ab = 0
or, a(2a+3b) = 0
so, b = -2a/3
Solve those and you find 3,6,-2
