Answer:
yo mama
Step-by-step explanation:
5% of 9,500 is 475 so you would add them together. 9,500 + 475 = 9,975 so 9,975 is the answer
Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Answer:
Sam owes 4 friends $5
Step-by-step explanation:
We can set up the equation
23 = 5x + 3
Subtract the 3 from both sides
20 = 5x
x = 4 friends
Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11