Answer:
p = - 5, p = - 1
Step-by-step explanation:
Given
- 
= 
Multiply through by the LCM of (p - 5)(p + 3)
3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis
3p² + 9p - 2p + 10 = p² - 5p
3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )
2p² + 12p + 10 = 0 ← divide through by 2
p² + 6p + 5 = 0 ← in standard form
(p + 1)(p + 5) = 0 ← in factored form
Equate each factor to zero and solve for p
p + 1 = 0 ⇒ p = - 1
p + 5 = 0 ⇒ p = - 5
Answer:
B) 1/x^2
Step-by-step explanation:
Simplify the following:
x^9/x^11
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.
Combine powers. x^9/x^11 = x^(9 - 11):
x^(9 - 11)
Hint: | Evaluate 9 - 11.
9 - 11 = -2:
Answer: x^(-2) = 1/(x^2)
Answer:
1104seconds and5 milliseconds
(8209-6000)/2
=3209/2
=1104.5
The scientists will reach the ocean floor after 1104.5 seconds.
PS
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Philip equation
ordered data: 3o(oranges), 3g(green), 6y, 8r, 13b(black, 15b(blue
mean: 8 mode: 3 range: 12
A slope intercept form: y = mx + b where m = slope and b = y -intercept
A slope of 3/2 is given
So y = 3/2 x + b
To find b:
b = y - mx
A line passes through the point (4, -6)
b = -6 - (3/2)(4)
b = -6 - 6
b = - 12
Answer
Equation in slope intercept form: y = 3/2 x - 12
