Answer:
P(x) = x³ - 3x² - 5x + 15
Step-by-step explanation:
∵ The roots of the polynomial are -√5 , √5 , 3
∴ The polynomial has 3 factors:
(x - √5) , (x + √5) , (x - 3)
∴ P(x) = (x - √5)(x + √5)(x - 3)
= (x² + √5x - √5x - 5)(x - 3)
= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15
∴ P(x) = x³ - 3x² - 5x + 15
Answer:
11/6
Step-by-step explanation:
For this case the first thing you should do is observe that the diameter of the four semicircles is the same.
Therefore, we can decompose the figure as follows:
1) We draw the diameters of the four semicircles to form a square.
2) We divide the figure into a square and four semicircles
3) The total area is the sum of the area of the square, plus the area of the 4 semicircles.
Answer:
c)as a square and four semicircles
Answer:
y = - 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
Answer: R2280
Step-by-step explanation:
Total crates = 10
Bottles in one crate = 12
Total bottles = 10 x 12 = 120
Price of 1 bottle = R19
Price of 120 bottles = R19 x 120 = R2280
