Answer:
40%
Step-by-step explanation:
20% + 20% = 40%
Hope this helps!
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
Let the steaks = X and the salmon = y.
Set up two equations:
15x + 18y = 559.81
19x + 9y = 583.66
Now using the elimination method:
Multiply the second equation by -2, then add the equations together.
(15x+18y=559.81)
−2(19x+9y=583.66)
Becomes:
15x+18y=559.81
−38x−18y=−1167.32
Add these equations to eliminate y:
−23x=−607.51
Divide both sides by -23 to solve for x:
x= -607.51 = -23 = 26.413478
Now you have the cost for a steak.
To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.
15(26.413478) + 18y = 559.91
396.202174 + 18y = 559.81
Subtract 396.202174 from both sides:
18y = 163.607826
Divide both sides by 18:
y = 163.607826 / 18
y = 9.089324
Round both x and Y to the nearest cent:
X (Steaks) =$26.41
Y (Salmon) = $9.09
1/5...
This question should be relatively easy for a high schooler...
7x - (25x^2 + 12x) = 7x - 25x^2 - 12x = -25x^2 - 5x
