Answer:
I assume you want the equation for the line in y=mx+b form, if not, you can just transfer this form to standard or intercept. y=(-3/4)x+2.5
Step-by-step explanation:
Since you have the slope and a point, plug in the points to the equation y=9-3/4)x+b to get 4=(-3/4)(-2)+b and solve.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Exponential Rule [Root Rewrite]:
![\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
- Exponential Rule [Rewrite]:

<u>Calculus</u>
Derivatives
Derivative Notation
Basic Power Rule
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
y = ∛x
x = 27
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:

- Basic Power Rule:

- Simplify:

- Rewrite [Exponential Rule - Rewrite]:

<u>Step 3: Solve</u>
- Substitute<em> </em>in <em>x</em> [Derivative]:

- Evaluate exponents:

- Multiply:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
The product of the factors in the given expression comes to be
.
The given expression is:

We can rewrite the given expression as

<h3>What is the exponent addition rule? </h3>
If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.


....from exponent addition rule
So, 
Therefore, the product of the factors in the given expression comes to be
.
To get more about exponents visit:
brainly.com/question/819893
Point C can be located on points (-3,2)
Answer:
Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:
- Finding the number of days needed to crochet one (1) blanket:
\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}
1=
5
1
Crochet(Day)
Crochet(Day)=5∗1=5
So, she can crochet 1 blanket every 5 days.
- Finding the number of days needed to crochet three (3) blankets:
If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:
\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}
DaysNeeded=
Rate
NumberOfBlankets
DaysNeeded=
5
1
3
=3∗5=15
- Writing the inequality
If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:
AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays
AvailableDays=60-15=45DaysAvailableDays=60−15=45Days
So, the inequality will be:
s\leq 45s≤45
The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.
Have a nice day!