Equivalent expressions = expressions that are equal in value even though they are written in different ways
distributive property = a(b + c) = ab + ac, or a(b + c) = ab - ac
factor = a number that divides evenly into another number; a number multiplied to get a product
expression = a single term; multiple terms connected by an addition or subtraction sign
equation = a mathematical statement that shows two expressions are equal using an equal sign
formula = an expression that uses variables to state a rule
function = a relation in which for any given input value, there is only one output value
We start with f(x)=4x+9.
Placing a " - " sign in front of the x term will reflect the graph of y=4x about the x-axis, but will not change the effect of that constant +9.
After this reflection your graph will still go through (0,9), but will have a slope of -4 instead of one of +4.
So, we'll end up with a line of slope m = -4 whose y-intercept is still (0,9). Translating this graph downward by 2 units will result in the graph of
y = -4x + 7.
Answer:
561.5 inches
Step-by-step explanation:
You just add all the four numbers together
123+97+237+104.5=561.5
Answer:
f(x) = 20(3/5)^x
Step-by-step explanation:
When x = 1, f(x) = 12
f(x) = 20(3/5)^1
= 20 * 3/5
= 60/5
= 12.
so f(x) = 20(3/5)^x is the answer.
Answer:
Option A is the correct answer.
Step-by-step explanation:
Initial amount deposited into the account is $10000. This means that the principal is
P = 10000
It was compounded daily. This means that it was compounded 365 times in a year. So
n = 365
The rate at which the principal was compounded is 2%. So
r = 2/100 = 0.02
It was compounded for 5 years. So
t = 5
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 10000 (1+0.02/365)^365×5
A = 10000 (1.000055)^1825
A = $11052
