Answer:
L(t) = 5·sin(πt) +7
Step-by-step explanation:
The middle of the oscillation of the given function occurs when t=0. At that point, ...
L(0) = d = 7
The next maximum of the oscillation occurs when the argument of the sine function is π/2.
b·t = π/2
b = π/(2t) = π/(2·0.5) = π
At that maximum, the length is 12, so we have ...
L(0.5) = a·sin(0.5π) +7 = 12
a = 5
The function L(t) is ...
L(t) = 5·sin(πt) +7
Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
Answer:
A
Step-by-step explanation:
Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate
Answer:
933
Step-by-step explanation:
female : male
x : 1000
x : 4000
1000 x 4 = 4000
3732 : 4000
3732 ÷ 4 = 933
The domain will be the numbers you can use for x and not get a
undefined thing like division by 0 or square root of a negative number
(f*g)(x)=f(x) times g(x)=(3x+2) times (7x+6)=(3x+2)(7x+6)=
the domain is all real numbers because we can't find any values of x that make a division by 0 or square root of a negative
answer is C
