Answer:
The ratio of AC/CB=1/3
Step-by-step explanation:
We use the section formula:
We substitute the point A(-1.5,0) and B(4.5,8).
We plug in the points to get:
This is supposed to be equal to: (0,2).
We can equate, corresponding coordinates to find m and n.
This implies that:
Therefore the ratio is m:n=1:3
Answer:
f(2x + 4) = -4x² - 16x - 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Expanding (FOIL)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x²
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
- Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
- (Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
- Combine like terms: f(2x + 4) = -4x² -16x - 15
Answer:
a) 12x - 48 or 6(2x - 8)
b) 18x - 48 or 6(3x - 8)
Step-by-step explanation:
A small box holds 6 eggs
A large box holds 12 eggs.
Hina buys x small box of eggs
Hina also buys (x-4) large box of eggs
a) Total number of eggs in the large box by Hina = (x-4)12
= 12x - 48
= 6(2x - 8)
b) Total number of eggs bought by Hina = (x) 6 + (x-4)12
= 6x + 12x - 48
= 18x - 48
= 6(3x - 8)
B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.
We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.
We get the following fraction
6 375/1000
We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200
Let's divide by 5 again:
6 15/40
Let's divide by 5 again:
6 3/8
Or we could have divide by 125 from the get go and get the same results.
