Answer:
1 solution
Step-by-step explanation:
A system of linear equations has no solution when the graphs are parallel.
Answer:
Step-by-step explanation:
x² - 24x + 5 = 0
x² - 24x = -5
Now divide the co efficient of x by 2 and square the quotient and add to both sides
24/2 = 12
12² = 144. Now add 144 to both sides of the equation.
x² - 24x + 144 = 5 + 144
x² - 24x + 144 = 149
x² - 2*12*x + 12² = 149
(x - 12)² = 149
Both sides take square root
x - 12 = ±√149
x = 12 ± √149
Answer:
1.5 as decimal, 1 1/2 as a fraction
Step-by-step explanation:
1. convert 2 5/6 & (-1 4/12) to a improper fraction.
17/6 and -16/12
2. multiply 17/6 by 2 to match -16/12's denominator
17/6 * 2 = 34/12
We now have
34/12 + -16/12
A positive number plus a negative number is the same thing as subtraction so we remove the negative sign and replace the plus with a minus sign.
We have:
Now solve. 34-16 = 18
our answer is 18/12
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
Answer:
C
Step-by-step explanation:
A number's absolute value is its distance from zero. -4 is 4 units from zero so its absolute value is 4
Hope this helps!