Answer:
(a) P(1) = 3
(b) P(-2) = 15
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>
P(x) = x³ + 4x² - 3x + 1
P(1) is x = 1
P(-2) is x = -2
<u>Step 2: Evaluate</u>
<em>P(1)</em>
- Substitute: P(1) = 1³ + 4(1)² - 3(1) + 1
- Exponents: P(1) = 1 + 4(1) - 3(1) + 1
- Multiply: P(1) = 1 + 4 - 3 + 1
- Add: P(1) = 5 - 3 + 1
- Subtract: P(1) = 2 + 1
- Add: P(1) = 3
<em>P(-2)</em>
- Substitute: P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1
- Exponents: P(-2) = -8 + 4(4) - 3(-2) + 1
- Multiply: P(-2) = -8 + 16 + 6 + 1
- Add: P(-2) = 8 + 6 + 1
- Add: P(-2) = 14 + 1
- Add: P(-2) = 15
Answer: 500 pieces of wheat
Explanation:
First: set up the proportion
Cookies:wheat = 8:2
Simplify = 4:1
We need to find how much wheat he needs for 2,000 cookies.
We need to assign a variable for wheat
Wheat = W
If Josh needs to make 2,000 cookies he would need W amount of wheat
Original proportion = 4:1
For 2,000 cookies = 2,000:W
To get from 4 to 2,000
2,000/4 = 500
So W/1 = 500
Isolate the variable:
w/1 (1) = 500/1
W = 500
So since you gave all of the equations of everyone's amount that they put in, it saves some work.
Let's add up everyone's contribution and then solve for x:
Then since we know the television costs $2,000, we can set this expression equal to that and simplify terms. Then we can solve for x:
So since Ronnie put in 'x', we can say that Ronnie paid $70.
Since Mark put in '2x + 500', we can plug in 70 for x to find that Mark paid $640.
And since Lisa put in '650 + 2x + 500', we can plug in 70 for x again to find that Lisa paid $1,290.
Okay, tu no tienes un Facebook...tienes una pregunta?
Answer:
3.25×10^15
Step-by-step explanation:
(8.69×10)^8_(9.6×10)^6. (3.25)×10^15_(7.83)×10^11=3.25×10^15
