Answer:
-7-20p
Step-by-step explanation:
Did it in my head but generally first parentheses so -1 times by -5 is 5... still there so multiply 5 by -4p, after that no more simplifying to be done as you cant combine or simplify a number with a variable to one that doesn't have a variable.
The discontinuities are x=-4. Because it is a fraction, you cannot divide by zero so if the denominator is set to equal zero, which it will if x=-4, the function will be be undefined
I will assume that 0.62 is an exponent then
amount left after t seconds = f(6) = 5 - 0.82(6)^0.62
= 2.51 gallons to nearest hundredth.
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Model
<span>
When making a guess and retesting this information, a
theory or <u>model</u> may be formed which explains why something has occurred
or what it may look like. Models are a representation of a certain situations
that has occurred. These models can provide and amplify a clearer perception
and comprehension of how and what processes are involved in an occurred
phenomenon. And by that said, it can change and be modified depending on which factor
catalyzed the alterations. </span>
