Answer:
The fish is 2.25 ft above the surface at 0.375 seconds
Step-by-step explanation:
Given:
y=-16x^2+12x
x=0.375 seconds
Substitute x=0.375 into the equation
y=-16x^2+12x
= -16(0.375)^2 +12(0.375
= -16(0.140625) + 4.5
= -2.25 + 4.5
= 2.25
y=2.25 ft
The fish is 2.25 ft above the surface at 0.375 seconds
Depends on many pounds of apples they eat a year. Take the number they eat a year and divide it by 855<span />
Given:
Either has a school certificate or diploma or even both = 20 people
Having school certificates = 14
Having diplomas = 11
To find:
The number of people who have a school certificate only.
Solution:
Let A be the set of people who have school certificates and B be the set of people who have diplomas.
According to the given information, we have
We know that,
Subtract both sides by 25.
We need to find the number of people who have a school certificate only, i.e. 
.
Therefore, 9 people have a school certificate only.
Answer:
-2 - 8 = -10
Step-by-step explanation:
Answer:
f'(2) = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Calculus</u>
The definition of a derivative is "the slope of the tangent line".
Derivatives of constants are 0.
Basic Power Rule:
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² - 4x + 2
<u>Step 2: Find 1st Derivative</u>
- Basic Power Rule: f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹
- Simplify: f'(x) = 6x - 4
<u>Step 3: Find tangent slope</u>
- Define: f'(x) = 6x - 4, x = 2
- Substitute: f'(2) = 6(2) - 4
- Multiply: f'(2) = 12 - 4
- Subtract: f'(2) = 8
<u>Step 4: Identify</u>
f'(2) = 8 tells us that at <em>x</em> = 2, the slope of the tangent line is 8.
