Answer:
first count the number of decimal places in the base number, as when multiplying decimals (see Decimal Multiplication. Next, multiply that number by the exponent. This will be the total number of decimal places in the answer.
Step-by-step explanation:
Answer:
a = - 3, a = 4
Step-by-step explanation:
Given f(x) = x² + 2 and g(x) = x + 14 , then
f(a) = a² + 2 and g(a) = a + 14
For f(a) = g(a) , then equate the right sides
a² + 2 = a + 14 ( subtract a + 14 from both sides )
a² - a - 12 = 0 ← in standard form
(a - 4)(a + 3) = 0 ← in factored form
Equate each factor to zero and solve for a
a + 3 = 0 ⇒ a = - 3
a - 4 = 0 ⇒ a = 4
First, we use the rational root theorem to determine any solutions of p(x). <span>= x3 + 4x2 + x − 6</span>
Factoring -6:
1
-1
2
-2
3
-3
6
-6
<span>x = 1 </span>
<span>p(1) = 1^3 + 4 * 1^2 + 1 - 6 = 6 - 6 = 0 </span>
<span>x = 1 is a solution. </span>
(x^3 + 4x^2 + x - 6) / (x - 1) =
x^3 / x = x^2
x^2 * (x - 1) = x^3 - x^2
x^3 + 4x^2 - x^3 + x^2 = 5x^2
5x^2 / x = 5x
5x * (x - 1) = 5x^2 - 5x
5x^2 + x - 5x^2 + 5x = 6x
6x / x = 6
6 * (x - 1) = 6x - 6
6x - 6 - 6x + 6 = 0
<span>(x - 1) * (x^2 + 5x + 6) </span>
x^2 + 5x + 6 factors to (x + 3) * (x + 2)
Factors:
<span>(x - 1) </span>
<span>(x + 2) </span>
<span>(x + 3) </span>
<span>roots: </span>
<span>x = 1 </span>
<span>x = -2 </span>
<span>x = -3</span>
Answer: y = 0
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
SInce the students at the door had to pay twice as much as the students who payed in advance, you would do 32*2=64