Answer:
x 37 y 30
Step-by-step explanation:
hopes it helps yo
Answer:
Step-by-step explanation:
-1
0.1
.66
1.14
by the numbers it woud be
-1
0.1
2/3
8/7
Answer:
Step-by-step explanation:
54 customers paid with cash
42 paid with debit card
153 paid with credit card
Add them up to find the total amount of people:
54 + 42 + 153 = 249
Now write 54(the number of customers who paid with cash) as a fraction over the total, 249.
54/249
So the probability that customers will pay cash is 54/249 or 18/83
Answer:
Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot
Step-by-step explanation:
Part 9)
Let
x ----> number of items on Emily's grocery list
x ----> number of items on Bobby's grocery list
we know that
----> equation A
----> equation B
Solve by substitution
Substitute equation A in equation B

solve for x



Find the value of y

therefore
The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10)
Let
x ----> the height of the taller bookshelf in feet
y ----> the height of the shorter bookshelf in feet
we have
----> equation A
Remember that

To convert inches to feet divide by 12
so

----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for y
Find the value of x

therefore
The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot
Answer:
f'(1) = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x²
Point (1, f(1))
<u>Step 2: Differentiate</u>
- Basic Power Rule: f'(x) = 2 · x²⁻¹
- Simplify: f'(x) = 2x
<u>Step 3: Find Slope</u>
<em>Use the point (1, f(1)) to find the instantaneous slope</em>
- Substitute in <em>x</em>: f'(1) = 2(1)
- Multiply: f'(1) = 2
This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)