Answer:
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
Where <em>P </em>is the initial value, <em>r</em> is the rate of decay, and <em>t</em> is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
Hi! Let me help you!
- Remember, factoring looks like so:
- ab+ac=a(b+c)
- So, we need to find the greatest common factor (G.C.F.) of the polynomial.
- In this case, 6 is the GCF, so we factor it out:
- 6x²+66x+60
- Divide 6, 66 and 60 by 6:
- x²+11x+10
<u>Answer:</u>
x²+11x+10
Hope you find it helpful.
Answer:
C) 7=y=5x+11
B) m=-4/5, b=13/5
Step-by-step explanation:
<u>Problem 1:</u>
A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.
<u>Problem 2:</u>
Convert to slope-intercept form (y=mx+b):
4x+5y=13
5y=13-4x
y=13/5-4/5x
y=-4/5x+13/5
Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.
Answer:
x = 1/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x - 5y = 21
<em>y</em> = -4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 4x - 5(-4) = 21
- Multiply: 4x + 20 = 21
- [Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
- [Division Property of Equality] Divide 4 on both sides: x = 1/4
Answer:
If x is replaced with -x the graph will stay the same because the absolute value makes 2 values so a negative number and a positive one.
Step-by-step explanation:
Go search it up on desmos.