Answer:
f(3) = 30
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + 2x - 3
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(3) = 3(3)² + 2(3) - 3
- Exponents: f(3) = 3(9) + 2(3) - 3
- Multiply: f(3) = 27 + 6 - 3
- Add: f(3) = 33 - 3
- Subtract: f(3) = 30
You can draw a right triangle where>
1) the distance traveled, i.e. 5280, is the hypotenuse
2) the opposite-leg is the vertical height that you need to calculate
3) the angle is 5°.
Therefore you can use the trigonometric ratio sine, which is:
sin(angle) = opposite-leg / hypotenuse = vertical height / distance traveled
= vertical height = distance traveled * sin (angle)
=> vertical height = 5,280 ft * sin(5°) = 460,18 ft
Answer: 460,18 ft
It represents the areas of two circles enclosing the cylinder.
Hope this helps.
Y = (x - 1)² + 2
y = (x² - x - x + 1) + 2
y = (x² - 2x + 1) + 2
y = x² - 2x + (1 + 2)
y = x² - 2x + 3
x² - 2x + 3 = 0
x = <u>-(-2) +/- √((-2)² 4(1)(3))</u>
2(1)
x = <u>2 +/- √(4 + 12)</u>
2
x = <u>2 +/- √(16)
</u> 2<u>
</u>x = <u>2 +/- 4
</u> 2<u>
</u>x = 1 <u>+</u> 2
x = 1 + 2 x = 1 - 2
x = 3 x = -1
y = x² - 2x + 3
y = (3)² - 2(3) + 3
y = 9 - 6 + 3
y = 3 + 3
y = 6
(x, y) = (3, 6)
or
y = x² - 2x + 3
y = (-2)² - 2(-1) + 3
y = 4 + 2 + 3
y = 6 + 3
y = 9
(x, y) = (-1, 9)
The answer is -11 because if you subtract 7 from -18 you will get -11
