Answer:
$ 8.72
Step-by-step explanation:
- How much does Joe make per hour now?
$8.15 + 7%·$8.15 =
= $8.15 + 7×8.15/100
= $8.15 + $57.05/100
= $8.15 + $0.57
= $ 8.72
Answer: 5
Because the two angles are congruent, these sides are congruent, so:
5x-8=2x+7
3x=15
x=5
Composite because it can go into 2 and other numbers
Answer:
x = 0, 4/5
Step-by-step explanation:
The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero
- Here our a term is -x and our b term is (5x - 4)
- Setting each term equal to zero and solving for x we get
- -x = 0 → x = 0
- 5x - 4 = 0 → 5x = 4 → x = 4/5
<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.