Answer:
Step-by-step explanation:
Area of figure = area of rectangle 1 + area of rectangle 2 +area of rectangle 3 +area of triangle
= 5*5 + 9*16 +20 * 8 + (1/2) * 3* 3
= 25 + 144 + 160 + 4.5
=333.5 sq. in
X<67/5 :) do u need the work or nah
Answer:
y - 2 = 1/2(x + 6)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-6, 2)
Slope <em>m</em> = 1/2
<u>Step 2: Find</u>
- Substitute in variables [Point-Slope Form]: y - 2 = 1/2(x - -6)
- Simplify: y - 2 = 1/2(x + 6)
Answer:
(a)
(b)
Step-by-step explanation:
Given
See attachment for spinner
Solving (a): Complete the table
The amount paid is: $1
From the attached image, we have:
$0 = 6; $1 = 1; $5 = 1
To get the profit, we subtract $1 from the possible outcomes of the spinner.
So, we have:
-$1.00 = 6; $0.00 = 1; $4.00 = 1
The probability of each is then calculated as:
So, the complete table is:
Solving (b): The expected profit E(x)
This is calculated as:
Remember the chain rule.
L(x)=f(g(x))
L'(x)=f'(g(x))g'(x)
take the derivative of f(g(x)). just treat them like they are variables. so you get:
h'=f'(g(x))g'(x)
now plug in your x value and evaluate:
h'(1)=f'(g(1))(g'(1))
substitute in values that you know and evaluate again
h'(1)=f'(3)(-3)
h'(1)=(-5)(-3)=15