Trust me: You must know how to do this basic factoring yourself.
x^2 -5x - 6 factors into (x-6)(x+1). Note how I got that: -6 is the product of 1 and -6, and -6 + 1 = -5.
You could also factor this by grouping:
x^2 -5x - 6 = x(x-6) + 1(x-6). Note how the middle terms combine to produce -5x and how (x-6) is a factor common to both terms; this leaves (x+1). So the factors are (x-6)(x+1).
The system of equations is
n + d = 27
n + 5d = 55
Step-by-step explanation:
The given is:
- Kiran has 27 nickels and quarters in his pocket
- They worth a total of $2.75
- We need to write a system of equations to represent the relationships between the number of nickels n, the number of quarters d, and the dollar amount in this situation
∵ The number of nickles is n
∵ The number of quarters is d
∵ There are 27 nickles and quarters
∴ n + d = 27 ⇒ (1)
∵ 1 nickel = 5 cents
∵ 1 quarter = 25 cents
- Multiply n by 5 and d by 25 to find their value
∴ They worth = 5n + 25d
∵ They worth a total of $2.75
- Chang the dollar to cent
∵ 1 dollar = 100 cents
∴ $2.75 = 2.75 × 100 = 275 cents
- Equate their value by 275
∴ 5n + 25d = 275
- Simplify it by divide each term by 5
∴ n + 5d = 55 ⇒ (2)
The system of equations is
n + d = 27
n + 5d = 55
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer:
i think the answer is b , females have a higher total
Step-by-step explanation:
Answer:
B) 12 cm²
Step-by-step explanation:
find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²
Answer:
x = ±4.5
Step-by-step explanation:
4x² - 15 = 66
Add 15 to both sides.
4x² = 81
Divide both sides by 4.
x² = 20.25
Take the square root of both sides.
x = ±4.5
Hope this helps!
