Answer:
x² - 6x = -5
x = {1, 5}
Step-by-step explanation:
The square of a number minus six times a number equals negative five.
x² - 6x = -5
Add 5 to both sides
x² - 6x + 5 = 0
Factor
(x - 1)(x - 5) = 0
x = {1, 5}
Answer:
6
Step-by-step explanation:
Answer:
22.2%
Step-by-step explanation:
The Program rating of a program is the percentage of TV households in an area that are tuned to a specific program during a specific time period.
The designated market area (DMA) of Boston has approximately 3 million television households.
Audience research shows that 45 percent of these households had their sets turned on during a particular Saturday evening.
45% of 3 Million = 0.45 X 3000000 = 1,350,000
Out of these 1,350,000, 300,000 households were watching Sports Stories.
Therefore, the program rating for Sports Stories in the Boston DMA is:

Answer:
m < 
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
Given a quadratic equation in standard form, y = ax² + bx + c
Then the value of the discriminant determines the nature of the roots
• For 2 real roots then b² - 4ac > 0
Given
y = 3x² + 7x + m ← in standard form
with a = 3, b = 7 and c = m, then
7² - (4 × 3 × m) > 0
49 - 12m > 0 ( subtract 49 from both sides )
- 12m > - 49
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.
m < 
Answer:
P = 24
A ≈ 41.6
Step-by-step explanation:
The polygon is a regular hexagon, so the triangle shown is a 30-60-90 triangle. So the short leg of the triangle is 2, which makes the side length of the hexagon 4.
That means the perimeter is P = 4 × 6 = 24.
The area of a regular polygon is:
A = ½ aP
where a is the apothem and P is the perimeter.
A = ½ (2√3) (24)
A = 24√3
A ≈ 41.6