Answer:
x = -203/23
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<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
y = -23(x + 9) + 4
y = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 0 = -23(x + 9) + 4
- [Subtraction Property of Equality] Subtract 4 on both sides: -4 = -23(x + 9)
- [Division Property of Equality] Divide -23 on both sides: 4/23 = x + 9
- [Subtraction Property of Equality] Subtract 9 on both sides: -203/23 = x
- Rewrite: x = -203/23
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
Answer: The depth of the snow has changed .4 inches. This is because it has melted in the warm weather. You can find the difference, by subtracting 1.6 from 2.
Step-by-step explanation:
2 - 1.6= .4 .4 would be your answer
Hope it helps!!!!
Answer: Option (c) is correct. Rate of interest = 6% p.a.
Step-by-step explanation:
Given that,
principal amount = $2000(loan)
time period = 284 days
interest amount (SI) = $93.37
we have to calculate the rate of interest (i),
Simple interest(SI) = principal amount × rate of interest (i) × time period
93.37 = 2000 × i × 
i = 
i = 0.06
i = 6%
Answer:
20 hours
Step-by-step explanation:
