Answer:
f ( -2 ) = 30
g ( -2 ) = 3
Step-by-step explanation:
when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:
f(x) = -7(-2-2) +2 g(x) = 2(-2)^2 -5
f(x) = -7(-4) +2 g(x) = 2(4) -5
f(x) = 28 + 2 g(x) = 8 - 5
f(x) = 30 g(x) = 3
hope this helps!!
Answer: The first and last options are correct
Explanation:
The recursive formula is written in terms of the previous term of the sequence. From the information given,
the Arnold's are going to save a nickel on the first day of the month and double the amount each day of the month. Thus, the recursive formula would be
where
an - 1 defines a previous term
To write the explicit formula, we would apply the formula for finding the nth term of an arithmetic sequence which is expressed as
An = ar^(n - 1)
where
a is the first term of the sequence
n is the number of terms
r is the common ratio between consecutive terms
Thus,
r = 2 because the amount is doubling each day
n = number of days
a = value of 1 nickel = $0.05
By substituting these values into the formula,
the explicit formula is
A(n) = 0.05(2)^n - 1
Answer:
∠B = 62°
Step-by-step explanation:
Because ∠A and ∠B are vertical angles they are equal hence we can write
∠A = ∠B
8x + 14 = 2x + 50
Now we have to solve for x
To do so, subtract 2x on both sides of the equation:
6x + 14 = 50
Now, subtract 14 on both sides of the equation
6x = 36
Now, divide 6 on both sides of the equation
x = 6
To find m∠B you have to you have to plug in x = 6 back into the ∠B equation
∠B = 2(6) + 50
∠B = 62°
Use Order of Operations!! Remember PEMDAS!
P: Parentheses first
E: Exponents (ie Powers and Square Roots, etc.)
MD: Multiplication and Division (left-to-right)
AS: Addition and Subtraction (left-to-right)
7+25•4 (multiply 25 by 4 first)
7+100 (then add 7 to 100)
107
So your final answer would be 107
Hope this helped and I hope you have an awesome day!! :D
