Answer:
x = - , x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 3 = 0 ⇒ x = 3
Answer:
4(9-n)
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Rewriting input as fractions if necessary:
1/12, 3/4
For the denominators (12, 4) the least common multiple (LCM) is 12.
LCM(12, 4)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/12 = 1/12 × 1/1 = 1/12
3/4 = 3/4 × 3/3 = 9/12
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Answer:
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
Plug in the values
Multiply both sides by √3
Answer:
p=6
Step-by-step explanation:
Start out by adding +5p to both sides of the equation
You should now have -3p-20=-(5p+8)
Now you need to distribute the negative (-) to both 5p and 8
After distributing the negative your equation should look like -3p-20=-5p-8
Now add 5p to both sides!
You should have 2p-20=-8
Now add twenty to both sides!
You should have 2p=12
Divide 2 from both sides!
You should end up with p=6